227. As many as 2786 MODES OF SCALES IN VARIOUS CULTURES !

From the link http://www.huygens-fokker.org/docs/modename.html

http://www.huygens-fokker.org/scala/

List of musical modes

Belongs to program Scala, see command MODE. Created by Manuel Op de Coul.

Number of modes: 2786 Maximum number of notes: 15

The numbers represent the number of scale degrees between consecutive tones of the mode, starting from the tonic. So for 12-tone modes they are semitones, for 24-tone modes quartertones, etc., but for unequal parent scales just the former. This list only specifies which notes are used in a mode, raga, maqam, etc. ignoring all other aspects. This list also ignores varieties that may exist of given modes in different regions of a culture. The eight Byzantine Liturgical tones or modes may vary in their final or closing note, and even in genus, depending on the type of text being set. Listings reflect a given theorist's description of a specified mode, or often, one form of that mode.

A number between [] indicates another starting note than the implicit degree 0.

The Meantone chromatic scales (negative systems), Twelve-tone chromatic scales (positive systems) and their major and minor modes are of the 3-limit Pythagorean kind. The scales marked with Just are approximations to 5-limit just scales, as well as the natural, melodic and harmonic minor scales. Where names are prepended by G. it is a Greek mode, and M. indicates a medieval (ecclesiastical) mode. The more common latter names where given by Boethius who confounded them. Sometimes the name is the same: G.M. Where Greek names don't have this prefix, the Greek ordering is used.

6 tone equal modes:
1 5	Vietnamese ditonic
5 1	Warao ditonic: South America
1 2 1 2	Messiaen truncated mode 6
2 1 2 1	Messiaen truncated mode 6 inverse
1 1 1 1 1 1	Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic
7 tone modes:
1 1 2 1 2	Thai mode 1
1 2 1 2 1	Thai mode 2
2 1 2 1 1	Thai mode 3
1 2 1 1 2	Thai mode 5
2 1 1 2 1	Thai mode 6
7 tone modes of pelog:
Pelog is not 7 tone equal temperament. A typical pelog scale is
0, 122, 271, 571, 677, 785, 947 cents.
1 1 2 1 2	Patet Lima, Patet Nem, Jawar, Selisir
[1] 1 2 1 1 2	Patet Barang
1 2 1 1 2	Patet Lima, Nem with Pelog
[1] 1 1 2 1 2	Patet Barang with Pelog, Manangis, Slendro Gede, Pengenter 2
[2] 1 1 2 1 2	Liwung, Pengenter 1, Pengenter Alit
[3] 1 1 2 1 2	Tembung
[4] 1 1 2 1 2	Nyorog, Sunaren
[5] 1 1 2 1 2	Nyorog handap, Baro
2 1 1 2 1	Pelog
1 3 1 1 1	Dangsoe
1 2 1 2 1	Bem, Pengenter
2 1 2 1 1	Miring, Slendro 2
1 1 1 3 1	Manyura
1 1 1 1 1 1 1	Lebeng
[2] 1 1 2 3	Slendro Alit
[1] 1 2 2 2	Jegog
[4] 2 1 2 1 1	Slendro 1
[1] 2 1 2 1 1	Slendro 3
[3] 2 1 2 1 1	Slendro 4
8 tone equal modes:
2 1 2 2 1	Agmon Diatonic DS1
2 2 1 2 1	Father-5
9 tone equal modes:
1 3 1 3 1	Symmetrical Pentatonic
3 1 1 3 1	Pelog Pancanada: Sunda
3 1 3 1 1	Nine tone "Sorog": Sunda
1 2 1 1 2 1 1	Pelog Saptanada: Sunda
1 1 1 1 1 1 1 1 1	Pelog Nawanada: Sunda
2 1 2 1 2 1	August-6
1 1 2 1 1 1 2	Pseudo Pelog, Pelogic-7
2 1 2 2 2	Noll Pseudo-diatonic
10 tone equal modes:
3 1 2 3 1	Pelog Degung: Sunda
3 1 3 2 1	Sorog Madenda: Sunda
2 1 1 2 2 1 1	Pseudo Rast
2 1 1 2 1 2 1	Sethares Neutral, Beatles-7, Dichotic-7
1 2 2 1 2 2	Decibel-6
2 1 2 2 1 2	Lemba-6
1 1 2 1 1 1 2 1	Supersharp-8
11 tone equal modes:
2 1 1 1 2 1 1 1 1	Joan-9
2 3 2 2 2	Machine-5
2 2 1 2 2 2	Machine-6
1 2 2 1 2 1 2	Orgone-7
2 2 2 2 1 2	Schulter Hexatonic
1 3 1 3 3	Sentry-5
1 1 2 1 1 2 1 2	Sentry-8
2 1 2 1 2 1 2	Superkleismic-7
2 3 1 3 2	Swooning Rushes
12 tone modes:
2 10	Vietnamese ditonic
5 7	Honchoshi: Japan
7 5	Niagari: Japan
10 2	Warao ditonic: South America
3 2 7	Vietnamese tritonic
3 4 5	Ute tritonic, Peruvian tritonic 2
4 3 5	Raga Malasri, Peruvian tritonic 1
4 5 3	Raga Bilwadala
5 2 5	Raga Sarvasri, Warao tritonic: South America
5 5 2	Sansagari: Japan
6 1 5	Raga Ongkari
1 5 1 5	Messiaen truncated mode 5
5 1 5 1	Messiaen truncated mode 5 inverse
2 4 2 4	Messiaen truncated mode 6
4 2 4 2	Messiaen truncated mode 6 inverse
1 4 3 4	Raga Lavangi, Gowleeswari
2 1 7 2	Warao tetratonic: South America
2 2 3 5	Eskimo tetratonic (Alaska: Bethel)
3 2 2 5	Vietnamese tetratonic
2 3 2 5	Genus primum
2 3 3 4	Raga Haripriya
2 3 4 3	Raga Bhavani
2 4 5 1	Raga Sumukam
4 2 5 1	Raga Nigamagamini
4 3 3 2	Raga Mahathi, Antara Kaishiaki
3 4 3 2	Bi Yu: China
5 2 3 2	Genus primum inverse
2 3 2 1 4	Han-kumoi: Japan, Raga Shobhavari, Sutradhari
2 1 4 1 4	Aeolian Pentatonic, Hira-joshi, Kata-kumoi, Yona Nuki Minor: Japan, Tizita Minor (Half tizita): Ethiopia
1 4 2 1 4	Hon-kumoi-joshi, Sakura, Akebono II: Japan, Olympos Enharmonic, Raga Salanganata, Saveri, Gunakri (Gunakali), Latantapriya, Ambassel: Ethiopia
1 4 2 3 2	Kokin-joshi, Miyakobushi, Han-Iwato, In Sen: Japan, Raga Vibhavari (Revati), Bairagi, Lasaki
1 4 1 4 2	Iwato: Japan
2 3 2 2 3	Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Devakriya, Durga, Suddha Saveri, Arabhi, Major complement
2 2 3 2 3	Major Pentatonic, Ryosen, Yona Nuki Major: Japan, Man Jue, Gong: China, Raga Bhopali (Bhup), Mohanam, Deskar, Bilahari, Kokila, Jait Kalyan, Peruvian Pentatonic 1, Ghana Pentatonic 2, Tizita Major: Ethiopia
2 3 2 3 2	Suspended Pentatonic, Raga Madhyamavati, Madhmat Sarang, Megh, Egyptian, Shang, Rui Bin, Jin Yu, Qing Yu: China, Yo: Japan, Ngu Cung Dao: Vietnam, Yematebela wofe: Ethiopia
2 3 3 2 2	Chaio: China
2 2 2 3 3	Kung: China
1 4 2 2 3	Altered Pentatonic, Raga Manaranjani II
2 1 2 4 3	Raga Abhogi
4 2 1 4 1	Lydian Pentatonic, Raga Amritavarshini, Malashri, Shilangi, Batti Lydian: Ethiopia
2 1 2 3 4	Raga Audav Tukhari
4 1 4 2 1	Raga Bhinna Shadja, Kaushikdhvani, Hindolita
1 2 4 1 4	Phrygian Pentatonic, Balinese Pelog, Madenda Modern, Raga Bhupalam, Bhupala Todi, Bibhas
2 2 3 1 4	Raga Bhupeshwari, Janasammodini
2 2 1 2 5	Raga Budhamanohari
3 2 4 2 1	Raga Chandrakauns (modern), Marga Hindola, Rajeshwari
3 2 4 1 2	Raga Chandrakauns (Kafi), Surya, Varamu
3 2 3 3 1	Raga Chandrakauns (Kiravani)
1 2 3 2 4	Raga Chhaya Todi, Locrian Pentatonic 1
1 2 2 3 4	Raga Chitthakarshini
2 3 2 4 1	Raga Desh, Tcherepnin Major Pentatonic, Nam xuan: Vietnam
1 6 1 3 1	Raga Deshgaur
5 2 1 3 1	Raga Devaranjani (Devaranji)
3 2 2 3 2	Minor Pentatonic, Blues Pentatonic, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Minyo: Japan, Lai Yai, Lai Noi: Laos, Nam, Northern Sa mac: Vietnam, Peruvian Pentatonic 2, Batti Minor: Ethiopia
4 2 1 2 3	Raga Dhavalashri
4 1 2 4 1	Ionian Pentatonic, Raga Gambhiranata, Pelog Degung Modern, Ryukyu: Japan, Vong co: Vietnam, Batti Major: Ethiopia
1 4 2 4 1	Raga Gauri
4 1 3 3 1	Raga Girija, Bacovia: Romania, Batti Major sharp 5: Ethiopia
2 3 4 1 2	Raga Guhamanohari
2 2 3 4 1	Raga Hamsadhvani (Hansdhwani, Haunsadhwani)
3 3 2 2 2	Raga Harikauns, Chin: China
4 2 3 2 1	Raga Hindol (Sunada Vinodini), Sanjh ka Hindol
3 2 1 4 2	Raga Jayakauns
4 1 4 1 2	Raga Khamaji Durga
3 2 2 1 4	Raga Kokil Pancham
1 4 3 3 1	Raga Kshanika
1 1 6 3 1	Raga Kumarapriya
2 2 2 5 1	Raga Kumurdaki (Kumudki)
5 2 2 1 2	Raga Kuntvarali (Kuntalavarali)
3 2 3 2 2	Blues Minor, Raga Malkauns (Malakosh), Raga Hindola, Man Gong, Quan Ming, Yi Ze, Jiao: China, Shegaye: Ethiopia
4 3 2 2 1	Raga Mamata
1 3 3 3 2	Raga Manaranjani I
2 5 2 1 2	Raga Matha Kokila (Matkokil)
1 3 1 3 4	Raga Megharanjani, Syrian Pentatonic
1 3 1 6 1	Raga Megharanji
3 1 3 2 3	Raga Mohanangi
3 3 1 4 1	Raga Multani, Batti mineur
1 1 4 1 5	Raga Nabhomani
4 1 2 2 3	Raga Nagasvaravali, Raga Mand
3 2 2 4 1	Raga Nata, Udayaravicandrika, Madhuranjani
2 2 5 2 1	Raga Neroshta
2 3 3 3 1	Raga Priyadharshini
2 1 2 2 5	Raga Purnalalita, Chad Gadyo: Jewish, Ghana Pentatonic 1, Nando-kyemyonjo: Korea
5 2 2 2 1	Raga Puruhutika, Purvaholika
1 1 6 1 3	Raga Putrika
1 3 3 2 3	Raga Rasika Ranjani, Vibhas (Marva), Scriabin
2 3 4 2 1	Raga Rasranjani
1 3 3 1 4	Raga Reva, Revagupti, Ramkali, Vibhas (Bhairava)
1 2 4 3 2	Raga Rukmangi
3 3 1 3 2	Raga Samudhra Priya, Madhukauns (pentatonic)
1 5 1 1 4	Raga Saugandhini, Yashranjani
2 1 4 2 3	Dorian Pentatonic, Raga Sivaranjini (Shivranjani), Akebono I: Japan
3 4 1 2 2	Raga Shailaja, Varini
2 4 1 2 3	Raga Shri Kalyan
2 4 3 2 1	Raga Shubravarni
2 4 1 4 1	Raga Vaijayanti, Hamsanada
4 3 2 1 2	Raga Valaji
4 1 2 1 4	Raga Zilaf
2 2 3 3 2	Dominant Pentatonic
4 1 2 3 2	Mixolydian Pentatonic, Nam ai, Oan: Vietnam, Raga Savethri
3 1 2 4 2	Locrian Pentatonic 2
3 2 2 2 3	Minor added sixth Pentatonic, Kyemyonjo: Korea
2 2 2 2 2 2	Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic
2 3 2 2 1 2	Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan
2 2 2 3 1 2	Prometheus (Scriabin), Mystic, Raga Barbara
1 3 2 3 1 2	Prometheus Neapolitan
3 2 1 1 3 2	Blues scale I, Raga Nileshwari
1 2 2 3 2 2	Ritsu: Japan, Raga Suddha Todi
2 2 1 2 2 3	Arezzo Major Diatonic Hexachord, Raga Kambhoji, Devarangini, Sama (Syama), Scottish Hexatonic
2 1 2 2 3 2	Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island)
2 2 2 2 3 1	Eskimo Hexatonic 2 (Alaska: Point Hope)
2 1 4 2 2 1	Hawaiian
2 1 2 1 3 3	Pyramid Hexatonic
1 2 1 2 1 5	Istrian: Croatia
1 2 2 1 3 3	Double-Phrygian Hexatonic
2 1 3 1 4 1	Raga Amarasenapriya
2 1 2 4 1 2	Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari
1 3 3 1 3 1	Raga Bauli
3 1 1 2 3 2	Raga Bhanumanjari, Jog
1 2 3 2 2 2	Raga Bhavani
2 3 2 1 3 1	Raga Bhinna Pancama
2 2 2 1 4 1	Raga Caturangini, Ratnakanthi
1 1 4 1 2 3	Raga Chandrajyoti
1 3 2 1 1 4	Raga Dhavalangam
2 2 1 1 1 5	Raga Dipak
1 2 2 2 3 2	Raga Gandharavam, Sabai silt: Ethiopia
1 3 1 2 4 1	Raga Gaula
2 1 2 3 3 1	Raga Ghantana, Kaushiranjani (Kaishikiranjani)
3 2 2 1 2 2	Raga Gopikavasantam, Desya Todi, Jayantasri, Phrygian Hexatonic
1 2 3 2 3 1	Raga Gurjari Todi
1 3 2 3 2 1	Raga Hamsanandi, Marva, Pancama, Puriya, Sohni
2 2 1 4 2 1	Raga Hamsa Vinodini
4 1 2 2 2 1	Raga Hari Nata, Genus secundum
1 3 2 2 1 3	Raga Hejjajji
2 4 1 1 2 2	Raga Jaganmohanam
1 4 2 2 2 1	Raga Jivantika
3 3 1 3 1 1	Raga Jivantini, Gaurikriya
4 2 1 1 2 2	Raga Jyoti
1 3 3 1 1 3	Raga Kalagada (Kalgada)
1 4 2 1 1 3	Raga Kalakanthi
1 3 1 2 2 3	Raga Kalavati, Ragamalini
4 1 2 1 2 2	Raga Kamalamanohari
1 2 4 1 2 2	Raga Kashyapi
4 1 2 2 1 2	Raga Khamas, Desya Khamas, Bahudari
2 2 3 2 2 1	Raga Kumud, Sankara (Shankara), Prabhati, Lydian Hexatonic
1 3 1 3 3 1	Raga Lalita, Sohini, Hamsanandi, Lalit Bhairav
2 2 3 1 3 1	Raga Latika
3 3 1 2 1 2	Raga Madhukauns (hexatonic)
2 4 1 3 1 1	Raga Malarani, Hamsanada
1 3 3 2 1 2	Raga Malayamarutam
2 1 4 2 1 2	Raga Manavi
1 3 2 1 4 1	Raga Mandari, Gamakakriya, Hamsanarayani
3 2 2 2 1 2	Raga Manohari, Malavasri
2 2 2 3 2 1	Raga Mruganandana
2 3 2 2 2 1	Raga Nagagandhari
2 2 1 2 4 1	Raga Nalinakanti, Kedaram, Vilasini
2 3 2 1 2 2	Raga Navamanohari
2 1 3 2 1 3	Raga Neelangi
2 4 1 2 2 1	Raga Nishadi
1 4 2 1 3 1	Raga Padi
4 1 2 1 3 1	Raga Paraju (Paraz, Pharas), Ramamanohari, Sindhu Ramakriya, Kamalamanohari
1 4 2 1 2 2	Raga Phenadyuti, Insen, Honchoshi, Niagari: Japan
1 2 2 1 4 2	Honchoshi plagal form: Japan
1 3 1 2 1 4	Raga Purna Pancama, Malahari, Geyahejjajji, Kannadabangala
2 2 1 4 1 2	Raga Rageshri (Rageshwari), Nattaikurinji (Natakuranji)
2 1 3 3 2 1	Raga Ranjani, Rangini
3 1 2 1 4 1	Raga Rasamanjari
1 4 2 2 1 2	Raga Rasavali
1 3 1 4 1 2	Raga Rudra Pancama
1 2 4 2 1 2	Raga Salagavarali
2 3 2 3 1 1	Raga Brindabani Sarang, Megh (Megh Malhar)
2 2 1 3 3 1	Raga Sarasanana
2 4 1 2 1 2	Raga Sarasvati
4 1 2 1 1 3	Raga Saravati (Sharavati)
2 1 3 1 3 2	Raga Simharava (Sinharavam), Gopikatilaka
2 1 2 2 4 1	Raga Sindhura Kafi
2 2 1 2 3 2	Raga Siva Kambhoji, Vivardhini, Andhali
2 1 2 2 2 3	Raga Suddha Bangala, Gauri Velavali
1 1 3 3 1 3	Raga Suddha Mukhari
1 2 2 2 1 4	Raga Suddha Simantini
2 1 3 1 1 4	Raga Syamalam
3 2 2 1 3 1	Raga Takka
4 1 2 3 1 1	Raga Tilang, Savitri, Brindabani Tilang
2 1 4 1 2 2	Raga Trimurti
1 3 1 4 2 1	Raga Vasanta, Chayavati
1 3 1 3 2 2	Raga Vasantabhairavi
2 1 3 1 2 3	Raga Vijayanagari
1 1 4 1 4 1	Raga Vijayasri
4 2 1 3 1 1	Raga Vijayavasanta
1 2 2 3 3 1	Raga Viyogavarali
4 2 1 2 1 2	Raga Vutari
2 2 2 1 2 3	Raga Yamuna Kalyani, Kalyani Keseri, Airavati, Ancient Chinese
1 1 4 1 1 4	Messiaen mode 5, Two-semitone Tritone scale
4 1 1 4 1 1	Messiaen mode 5 inverse
1 3 1 3 1 3	Messiaen truncated mode 3, Prometheus (Liszt)
3 1 3 1 3 1	Messiaen truncated mode 3 inverse, Major Augmented, Genus tertium, Raga Devamani
1 2 3 1 2 3	Messiaen truncated mode 2
1 3 2 1 3 2	Messiaen truncated mode 2, Raga Indupriya, Tritone scale
3 1 2 2 1 3	Equal temperaments 3 and 4 mixed
1 2 1 2 4 2	Superlocrian Hexamirror
2 1 3 2 3 1	Takemitsu Tree Line mode 1
2 1 3 2 2 2	Takemitsu Tree Line mode 2
	G = Greek, M = Medieval (ecclesiastical)
1 2 2 1 2 2 2	G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish
2 2 1 2 2 2 1	G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima
2 1 2 2 2 1 2	G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Nayaki Kanada, Sriraga, Ritigaula, Huseni, Kanara, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam
1 2 2 2 1 2 2	G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse
2 2 2 1 2 2 1	G.Hypolydian, M.Lydian, G.M.Hypolocrian, Rut biscale ascending, Kalyan That (Yaman), Mela Mecakalyani, Raga Shuddh Kalyan, Ping, Kung, Gu: China
2 2 1 2 2 1 2	G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Khamaj That, Mela Harikambhoji, Raga Harini, Janjhuti, Khambhavati, Surati, Balahamsa, Devamanohari, Mischung 3, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China
2 1 2 2 1 2 2	G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia
1 1 3 1 1 3 2	Chromatic Mixolydian
1 3 1 1 3 2 1	Chromatic Lydian, Raga Lalit, Bhankar
3 1 1 3 2 1 1	Chromatic Phrygian
1 1 3 2 1 1 3	Chromatic Dorian, Mela Kanakangi, Raga Kanakambari
1 3 2 1 1 3 1	Chromatic Hypolydian, Purvi That, Mela Kamavardhani, Raga Shri, Pantuvarali, Basant, Kasiramakriya, Suddharamakriya, Puriya Dhanashri, Dhipaka, Pireotikos: Greece
3 2 1 1 3 1 1	Chromatic Hypophrygian, Blues scale III
2 1 1 3 1 1 3	Chromatic Hypodorian, Relative Blues scale, Raga Dvigandharabushini
2 3 1 1 3 1 1	Chromatic Mixolydian inverse
1 1 2 3 1 1 3	Chromatic Phrygian inverse
1 1 3 1 1 2 3	Chromatic Hypophrygian inverse
3 1 1 3 1 1 2	Chromatic Hypodorian inverse
2 1 2 2 2 2 1	Melodic Minor ascending, Jazz Minor, Minor-Major, Mela Gaurimanohari, Raga Patdip, Velavali, Deshi(2), Mischung 1, Hawaiian
2 1 2 2 1 3 1	Harmonic Minor, Mischung 4, Pilu That, Mela Kiravani, Raga Kiranavali, Kirvani, Kalyana Vasantha, Deshi(3), Maqam Bayat-e-Esfahan, Sultani Yakah, Zhalibny Minor, Armoniko minore: Greece
1 3 1 2 2 1 2	Harmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran
2 2 1 2 1 3 1	Harmonic Major, Mela Sarasangi, Raga Haripriya, Simhavahini, Mischung 2, Ethiopian, Tabahaniotikos: Greece
1 2 1 3 1 2 2	Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4
2 2 1 3 1 2 1	Ionian Augmented, Ionian sharp 5
2 2 2 2 1 2 1	Lydian Augmented, Lydian sharp 5
1 2 2 1 3 1 2	Locrian natural 6, Maqam Tarznauyn
2 2 1 1 2 2 2	Major Locrian
2 1 2 1 2 2 2	Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5
1 2 1 2 2 2 2	Superlocrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel
2 1 2 1 2 3 1	Locrian nr.2
1 2 1 2 2 1 3	Ultralocrian, Superlocrian Diminished, Mixolydian sharp 1
1 2 2 1 2 1 3	Locrian double-flat 7
2 3 1 2 1 2 1	Nohkan Flute scale: Japan
2 1 1 3 1 2 2	Sabach (Sambah) ascending: Greece
2 1 2 1 3 1 2	Dorian flat 5, Blues Heptatonic, Makam Karcigar, Maqam Nahawand Murassah, Kiourdi ascending, Kartzihiar: Greece
3 2 1 1 2 1 2	Blues Heptatonic II
2 1 2 1 3 2 1	Jeths' mode
1 1 3 2 1 2 2	Mela Ratnangi, Raga Phenadyuti
1 1 3 2 1 3 1	Mela Ganamurti, Raga Ganasamavarali
1 1 3 2 2 1 2	Mela Vanaspati, Raga Bhanumati
1 1 3 2 2 2 1	Mela Manavati, Raga Manoranjani
1 1 3 2 3 1 1	Mela Tanarupi, Raga Tanukirti
1 2 2 2 1 1 3	Mela Senavati, Raga Senagrani, Malini
1 2 2 2 1 3 1	Neapolitan Minor, Mela Dhenuka, Raga Bhinnasadjam, Dhunibinnashadjam, Kirvanti, Takka, Maqam Shahnaz Kurdi, Hungarian Gipsy
1 2 2 2 2 2 1	Neapolitan Major, Lydian Major, Mela Kokilapriya, Raga Kokilaravam, Heptatonia tertia
1 2 2 2 2 1 2	Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Dorian flat 2, Raga Natabharanam, Ahiri Todi
1 2 2 2 3 1 1	Mela Rupavati
1 3 1 1 2 3 1	Raga Lalita, Persian, Chromatic Hypolydian inverse, Raga Suddha Pancama
1 3 1 2 1 1 3	Mela Gayakapriya, Raga Kalakanti, Gipsy Hexatonic
1 3 1 2 1 2 2	Phrygian Dominant, Phrygian Major, Mela Vakulabharanam, Raga Jogiya, Ahiri, Vativasantabhairavi, Zilof, Ahava Rabba, Freygish: Jewish, Maqam Hijaz-Nahawand, Humayun, Spanish Gipsy, Dorico Flamenco: Spain, Hitzaz: Greece, Harmonic Major inverse
1 3 1 2 1 3 1	Major Gipsy, Double Harmonic Major, Bhairav That, Mela Mayamalavagaula, Raga Paraj, Kalingada, Gaulipantu, Lalitapancamam, Chromatic 2nd Byzantine Liturgical, Hitzazkiar: Greece, Maqam Zengule, Hijaz Kar, Suzidil
1 3 1 2 2 2 1	Mela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram, Jaganmohini, Major-Melodic Phrygian, Hungarian Gipsy inverse
1 3 1 2 3 1 1	Mela Hatakambari, Raga Jeyasuddhamalavi
2 1 2 1 1 3 2	Modified Blues
2 1 2 2 1 1 3	Mela Jhankaradhvani, Raga Jhankara Bhramavi
2 1 2 2 3 1 1	Mela Varunapriya, Viravasantham
2 2 1 2 1 1 3	Mela Mararanjani, Raga Keseri, Major Bebop Heptatonic
2 2 1 2 1 2 2	Major-Minor, Melodic Major, Mischung 6, Mixolydian flat 6, Mela Carukesi, Raga Charukeshi, Tarangini, Heptatonia secunda
2 2 1 2 3 1 1	Mela Naganandini, Raga Nagabharanam, Samanta
3 1 1 2 1 1 3	Mela Yagapriya, Raga Kalahamsa
3 1 1 2 1 2 2	Mela Ragavardhani, Raga Cudamani
3 1 1 2 1 3 1	Mela Gangeyabhusani, Raga Gangatarangini, Sengiach (Sengah): Greece, Gipsy Hexatonic inverse
3 1 1 2 2 1 2	Mela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Chayanata, Bluesy Rock 'n Roll
3 1 1 2 2 2 1	Mela Sulini, Raga Sailadesakshi, Raga Trishuli, Houzam: Greece
3 1 1 2 3 1 1	Mela Calanata, Raga None, Chromatic Dorian inverse
1 1 4 1 1 1 3	Mela Salaga
1 1 4 1 1 2 2	Mela Jalarnava
1 1 4 1 1 3 1	Mela Jhalavarali, Raga Varali, Jinavali
1 1 4 1 2 1 2	Mela Navanitam, Raga Nabhomani
1 1 4 1 2 2 1	Mela Pavani, Raga Kumbhini
1 1 4 1 3 1 1	Mela Raghupriya, Raga Ravikriya, Ghandarva
1 2 3 1 1 1 3	Mela Gavambodhi, Raga Girvani
1 2 3 1 1 2 2	Mela Bhavapriya, Raga Bhavani, Kalamurti, Neveseri ascending: Greece
1 2 3 1 1 3 1	Todi That, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam, Harsh Minor, Chromatic Lydian inverse, Maqam Athar Kurd
1 2 3 1 2 1 2	Mela Sadvidhamargini, Raga Sthavarajam, Tivravahini
1 2 3 1 2 2 1	Mela Suvarnangi, Raga Sauviram
1 2 3 1 3 1 1	Mela Divyamani
1 3 2 1 1 1 3	Mela Dhavalambari, Foulds' Mantra of Will scale
1 3 2 1 1 2 2	Mela Namanarayani, Raga Narmada, Pratapa, Harsh Major-Minor
1 3 2 1 2 1 2	Mela Ramapriya, Raga Ramamanohari, Romanian Major, Petrushka chord
1 3 2 1 2 2 1	Marva That, Mela Gamanasrama, Raga Partiravam, Puriya, Puriya Kalyan, Purvikalyani, Sohani, Bairari, Harsh-intense Major, Peiraiotikos: Greece
1 3 2 1 3 1 1	Mela Visvambhari, Raga Vamsavathi
1 3 2 2 2 1 1	Verdi's Scala enigmatica ascending
1 3 1 3 2 1 1	Verdi's Scala enigmatica descending
2 1 2 1 2 1 3	Moravian Pistalkova, Hungarian Major inverse
2 1 3 1 1 1 3	Mela Syamalangi, Raga Shyamalam
2 1 3 1 1 2 2	Minor Gipsy, Ukrainian Dorian, Mela Sanmukhapriya, Raga Camara, Chinthamani
2 1 3 1 1 3 1	Double Harmonic Minor, Hungarian Minor, Egyptian Heptatonic, Mela Simhendramadhyama, Raga Madhava Manohari, Maqam Nawa Athar, Hisar, Flamenco Mode, Niavent: Greece
2 1 3 1 2 1 2	Mela Hemavati, Raga Desisimharavam, Maqam Nakriz, Tunisian, Dorian sharp 4, Misheberekh: Jewish, Souzinak (Peiraiotikos Minor), Nigriz, Pimenikos: Greece, Ukrainian Minor, Kaffa, Gnossiennes
2 1 3 1 2 2 1	Lydian Diminished, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
2 1 3 1 3 1 1	Mela Nitimati, Raga Nisada, Kaikavasi
2 2 1 1 3 1 2	Minor Gipsy inverse
2 2 2 1 1 1 3	Mela Kantamani, Raga Kuntala, Srutiranjani
2 2 2 1 1 2 2	Lydian Minor, Mela Risabhapriya, Raga Ratipriya
2 2 2 1 1 3 1	Harmonic Lydian, Mela Latangi, Raga Gitapriya, Hamsalata
2 2 2 1 2 1 2	Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Overtone, Lydian-Mixolydian, Bartok
2 2 2 1 3 1 1	Mela Citrambari, Raga Chaturangini
2 2 1 4 1 1 1	Raga Rageshri
2 3 2 2 1 1 1	Raga Sorati, Sur Malhar
3 1 2 1 1 1 3	Mela Sucaritra, Raga Santanamanjari
3 1 2 1 1 2 2	Mela Jyotisvarupini, Raga Jotismatti
3 1 2 1 1 3 1	Mela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
3 1 2 1 2 1 2	Hungarian Major, Mela Nasikabhusani, Raga Nasamani
3 1 2 1 2 2 1	Aeolian Harmonic, Lydian sharp 2, Mela Kosalam, Raga Kusumakaram
3 1 2 1 3 1 1	Mela Rasikapriya, Raga Rasamanjari, Hamsagiri
3 1 2 2 1 2 1	Aeolian flat 1
4 1 2 2 1 1 1	Raga Madhuri
1 3 1 1 3 1 2	Oriental, Raga Ahira-Lalita, Hungarian Minor inverse, Tsinganikos: Greece
2 2 2 2 2 1 1	Leading Whole-tone
1 1 2 2 2 2 2	Leading Whole-tone inverse
2 1 1 1 1 3 3	Debussy's Heptatonic
1 3 1 1 1 2 2 1	Raga Bhatiyar
2 1 3 1 1 1 1 2	Raga Cintamani
2 1 2 2 2 1 1 1	Raga Mian Ki Malhar, Bahar, Sindhura
2 1 2 2 1 1 1 2	Raga Mukhari, Anandabhairavi, Deshi, Manji, Gregorian nr.1, Dorian/Aeolian mixed
1 3 1 1 1 1 3 1	Raga Ramkali (Ramakri)
1 3 1 2 1 1 2 1	Raga Saurashtra
2 1 1 3 1 2 1 1	Sabach (Sambah): Greece
2 1 1 1 2 2 1 2	Minor Bebop, Dorian Bebop, Raga Zilla, Mixolydian/Dorian mixed
2 2 1 2 2 1 1 1	Genus diatonicum, Dominant Bebop, Raga Khamaj, Desh Malhar, Alhaiya Bilaval, Devagandhari, Bihagara, Maqam Shawq Awir, Gregorian nr.6, Major/Mixolydian mixed, Chinese Eight-Tone, Rast: Greece
2 2 1 2 1 1 2 1	Major Bebop, Altered Mixolydian
2 1 2 1 1 2 1 2	Blues scale II
2 1 2 1 1 1 3 1	Algerian, Sabiren
1 2 1 1 2 1 2 2	Spanish Phrygian
1 2 1 1 1 2 2 2	Espla's scale, Eight-tone Spanish
1 2 2 1 1 1 3 1	Half-diminished Bebop
1 2 2 2 1 1 2 1	Neapolitan Major and Minor mixed
1 2 3 1 1 2 1 1	Neveseri: Greece
2 1 2 1 2 1 2 1	Diminished, Modus conjunctus, Messiaen mode 2 inverse, Whole-Half step scale
2 2 1 1 1 2 2 1	Ishikotsucho: Japan, Raga Yaman Kalyan, Chayanat, Bihag, Hamir Kalyani, Kedar, Gaud Sarang, Genus diatonicum veterum correctum, Gregorian nr.5, Kubilai's Mongol scale, Major/Lydian mixed
1 3 1 1 2 2 1 1	Verdi's Scala enigmatica
2 1 2 2 1 1 2 1	Zirafkend: Arabic, Melodic Minor Bebop
1 1 1 2 2 2 1 2	Adonai Malakh: Jewish
1 2 1 2 2 1 2 1	Magen Abot: Jewish
2 1 2 2 1 2 1 1	Maqam Nahawand, Farahfaza, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor
1 1 1 2 2 1 3 1	Harmonic and Neapolitan Minor mixed
1 3 1 2 1 2 1 1	Maqam Hijaz (Hedjaz)
1 2 1 1 1 3 1 2	Maqam Shadd'araban
1 2 1 2 1 2 1 2	Octatonic, Messiaen mode 2, Dominant Diminished, Diminished Blues, Half-Whole step scale
1 1 1 3 1 1 1 3	Messiaen mode 4, Tcherepnin Octatonic mode 3
3 1 1 1 3 1 1 1	Messiaen mode 4 inverse, Tcherepnin Octatonic mode 4
1 1 2 2 1 1 2 2	Messiaen mode 6
2 2 1 1 2 2 1 1	Messiaen mode 6 inverse
1 3 1 1 1 3 1 1	Tcherepnin Octatonic mode 1
1 1 3 1 1 1 3 1	Tcherepnin Octatonic mode 2
1 1 1 2 2 1 2 2	Phrygian/Aeolian mixed
1 2 2 1 1 1 2 2	Phrygian/Locrian mixed
1 2 2 2 1 2 1 1	Hamel
1 2 2 1 1 2 2 1	Van der Horst Octatonic
1 2 2 1 2 2 1 1	Prokofiev
1 2 1 2 1 2 2 1	Shostakovich
1 2 1 1 2 2 1 2	JG Octatonic
2 1 1 2 2 1 1 2	Equal temperaments 4 and 6 mixed
1 1 2 1 1 2 1 1 2	Messiaen mode 3, Tcherepnin Nonatonic mode 3
2 1 1 2 1 1 2 1 1	Messiaen mode 3 inverse, Tcherepnin Nonatonic mode 2
2 1 2 2 1 1 1 1 1	Raga Pilu, Full Minor
2 1 1 1 2 2 1 1 1	Raga Malgunji, Ramdasi Malhar, Major/Dorian mixed, Blues Enneatonic
2 2 1 2 1 1 1 1 1	Raga Pahadi
2 1 1 1 1 1 2 1 2	Blues Enneatonic II
2 1 2 1 1 1 1 1 2	Kiourdi: Greece
2 2 1 1 1 2 1 1 1	Taishikicho, Ryo: Japan, Raga Chayanat, Lydian/Mixolydian mixed
1 1 2 1 2 2 1 1 1	Chromatic Bebop
1 1 1 2 1 1 1 2 2	Locrian/Aeolian mixed
1 2 1 1 2 1 1 2 1	Genus chromaticum, Tcherepnin Nonatonic mode 1, Augmented-9
1 2 1 1 2 1 2 1 1	Moorish Phrygian, Phrygian/Double Harmonic Major mixed
1 1 2 1 1 1 2 1 2	Youlan scale: China
1 1 1 2 2 1 1 1 2	Chromatic and Diatonic Dorian mixed
1 1 2 1 2 1 1 2 1	Chromatic and Permuted Diatonic Dorian mixed
2 1 1 1 2 1 1 1 2	Houseini: Greece, Modes of Major Pentatonic mixed
1 1 1 1 2 1 1 1 1 2	Messiaen mode 7
2 1 1 1 1 2 1 1 1 1	Messiaen mode 7 inverse
2 1 1 1 2 1 1 1 1 1	Major/Minor mixed
2 1 1 1 1 1 2 1 1 1	Minor Pentatonic with leading tones
2 1 1 1 1 1 1 1 2 1	Maqam Shawq Afza
1 1 1 1 1 2 1 2 1 1	Raga Sindhi-Bhairavi
1 2 1 1 1 1 1 1 1 2	Maqam Tarzanuyn
1 1 2 1 1 1 1 2 1 1	Symmetrical Decatonic
1 1 1 1 1 1 1 1 1 1 1 1	Twelve-tone Chromatic (1/11-comma)
13 tone equal modes:
3 3 2 3 2	Blackwood Pentatonic, Quasi Slendro, Father-5
3 2 3 2 3	A-Team-5
3 3 3 3 1	Lovecraft-5
2 1 2 1 2 1 2 1 1	Lovecraft-9
4 1 3 1 4	Symmetrical Pentatonic
4 2 1 2 4	Columns
3 2 2 1 2 3	Developmental Ecstacy
2 2 2 3 2 2	Glacial-6
2 2 2 2 2 2 1	Ryonian
2 2 2 2 2 1 2	Karakalian
2 2 2 2 1 2 2	Glacial-7, Lobonian
2 2 2 1 2 2 2	Horthatian
2 2 1 2 2 2 2	Oukranian
2 1 2 2 2 2 2	Tamashian
1 2 2 2 2 2 2	Zo-Kalarian
2 2 1 3 1 2 2	Diatronic
1 3 2 1 2 3 1	Polyzontal
1 2 1 2 2 1 2 2	Blackwood Subminor, Sarnathian
1 2 2 1 2 1 2 2	Chalmers Major, Hlanithian
2 1 2 2 1 2 2 1	Chalmers Minor, Celephaisian, A-Team-8
2 1 2 2 1 2 1 2	Chalmers Triadic Minor, Ultharian
2 2 1 2 2 1 2 1	Dylathian, False Father
2 2 1 2 1 2 2 1	Ilarnekian
2 1 2 1 2 2 1 2	Mnarian
1 2 2 1 2 2 1 2	Kadathian
1 2 1 1 3 1 1 2 1	Symmetrical Nonatonic
1 1 2 1 1 2 1 1 1 2	Rapoport Minor
2 1 1 1 2 1 1 2 1 1	Rapoport Major
13 tone modes of Bohlen-Pierce scale: octave is 3/1
3 3 3 3 1	BP Pentatonic
2 1 2 1 1 2 1 2 1	Delta, Moll I
1 2 1 2 1 1 2 1 2	Dur I, Delta inverse
1 2 1 2 1 1 2 2 1	Gamma
1 2 2 1 1 2 1 2 1	Gamma inverse
2 1 1 2 1 2 1 1 2	Dur II
2 1 1 2 1 2 1 2 1	Lambda
2 1 1 2 1 1 2 2 1	Blue Lambda
2 2 2 2 2 2 1	Krumhansl Heptatonic
1 2 1 2 1 2 1 1 2	Harmonic, Lambda inverse
1 2 1 2 1 2 1 2 1	Pierce, Moll II
3 1 2 1 3 2 1	Prooijen Major
2 1 3 1 2 3 1	Prooijen Minor
1 1 2 1 2 1 2 1 2	Walker A
1 2 1 1 2 1 2 1 2	Walker B
2 1 2 1 2 1 2 1 1	Walker I
2 1 2 1 2 1 1 2 1	Walker II
2 2 2 1 2 2 2	Sirius-7
1 3 1 3 1 3 1	Canopus-7
1 2 1 1 2 1 1 1 2 1	Canopus-10
1 4 1 1 1 4 1	Arcturus-7
1 1 3 1 1 1 3 1 1	Arcturus-10
14 tone equal modes:
2 3 2 2 3 2	Quasi-equal Hexatonic
2 1 2 1 2 1 2 2 1	Gould Nonatonic
3 3 1 3 3 1	Decimal-6
1 2 1 2 1 1 2 1 2 1	Decimal-10
2 3 3 3 3	Godzilla-5
2 2 1 2 1 2 1 2 1	Godzilla-9
3 2 2 3 2 2	Hedgehog-6
1 2 2 2 1 2 2 2	Hedgehog-8
3 3 2 3 3	Semaphore-5
2 1 2 1 2 1 2 1 2	Semaphore-9
1 2 3 2 1 2 3	Superpelog-Pelog
1 2 1 2 1 2 1 2 2	Superpelog-9
2 3 1 2 3 1 2	Unicycle Gestures
15 tone equal modes:
1 2 1 2 1 2 1 2 1 2	Blackwood Decatonic
4 1 4 1 4 1	Blackwood Hexatonic
3 2 1 3 2 3 1	Fifteen-tone "Major"
3 1 2 3 1 3 2	Fifteen-tone "Minor", Natural Minor
3 1 2 3 2 3 1	Fifteen-tone Melodic Minor
3 1 2 3 1 4 1	Fifteen-tone Harmonic Minor
3 2 1 3 1 4 1	Fifteen-tone Harmonic Major
3 1 1 1 3 1 1 2 1 1	Fifteen-tone Major/Minor mixed
3 2 1 3 1 2 3	Equal temperaments 3 and 5 mixed
1 2 1 1 1 2 1 1 1 1 2 1	Twelve-tone Chromatic
2 3 2 1 2 3 2	Horse OrgN
2 1 2 1 2 1 2 1 2 1	Archytas Clan-10
1 1 2 1 1 1 2 1 1 1 2 1	Augene-12
2 3 2 3 2 3	Augment-6
2 1 2 2 1 2 2 1 2	Augment-9
1 1 1 2 1 1 1 2 1 1 1 2	Augment-12
2 1 1 1 2 1 1 1 2 1 1 1	Inflated-12
1 3 1 3 1 3 3	Kleismic-7
1 1 2 1 2 1 1 2 1 1 2	Kleismic-11
1 1 1 2 1 1 1 1 1 1 1 1 1 1	Nautilus-14
3 1 3 1 3 1 3	Superkleismic-7
2 2 2 3 2 2 2	Miller's Porcupine-7
2 3 2 2 2 2 2	Miller's Porcupine-7 Major
1 3 2 3 1 1 2 2	Miller's Kusiro
2 2 1 2 2 2 2 2	Pentadecaphonic "Major", Jones's Porcupine-8
3 2 2 2 2 2 2	Porky-7
1 2 1 1 1 1 1 1 2 1 1 1 1	Progress-13
2 2 1 2 2 1 2 2 1	Rempt's Andal scale, Triforce-9
1 2 2 1 2 2 1 2 2	Rempt's Andal scale inverse
2 1 1 1 1 1 2 1 1 1 1 1 1	Thuja-13
3 2 3 2 3 2	Triforce-6
16 tone equal modes:
2 2 3 2 2 2 3	Pseudo Pelog, Pelogic-7, Antiionian
3 1 3 2 2 3 2	Harmonic Minor
2 3 2 2 3 1 3	Harmonic Minor inverse
1 3 1 3 1 3 1 3	Octatonic, Neo-Diminished inverse
3 1 3 1 3 1 3 1	Neo-Diminished
2 3 2 2 2 3 2	Armodue-7, Antidorian
2 2 2 1 2 2 2 2 1	Agmon Diatonic DS3, Armodue, Goldsmith, Superionian
1 2 2 2 2 1 2 2 2	Noll Pseudo-diatonic, Agmon Diatonic DS3 inverse, Superphrygian
2 1 2 2 1 2 1 2 2 1	Astrology-10
2 3 3 2 3 3	Decibel-6
3 3 3 4 3	Gorgo-5
3 3 3 3 3 1	Gorgo-6
1 3 3 2 1 3 3	Gorgo-Pelog
1 2 1 2 1 2 1 2 1 2 1	Gorgo-11
3 2 3 3 2 3	Astrology-6, Lemba-6
2 1 2 1 2 2 1 2 1 2	Lemba-10
2 2 1 2 2 2 2 1 2	Wilson Supradiatonic, Mabila-9, Supercorinthian
5 2 2 5 2	Mavila-5, Patet dang
2 3 2 2 3 2 2	Mavila-7, Antiaeolian
2 1 2 2 2 1 2 2 2	Mavila-9, Superaeolian
1 2 1 1 2 1 1 2 1 1 2 1	Flavell's Blues
5 2 5 2 2	Patet deng
2 5 2 5 2	Patet dong
2 5 2 2 5	Patet dung
2 2 5 2 5	Patet ding
3 2 2 3 2 2 2	Antilocrian
3 2 2 2 3 2 2	Antiphrygian
2 2 3 2 2 3 2	Antimixolydian
2 2 2 3 2 2 3	Antilydian
2 2 2 2 1 2 2 2 1	Superlydian
2 2 2 1 2 2 2 1 2	Supermixolydian
2 2 1 2 2 2 1 2 2	Superolympian
2 1 2 2 2 2 1 2 2	Superdorian
1 2 2 2 1 2 2 2 2	Superlocrian
17 tone equal modes:
2 1 1 2 1 2 1 2 1 1 2 1	Twelve-tone Chromatic (2/11-comma positive)
3 3 1 3 3 3 1	Seventeen-tone Major
3 1 3 3 1 3 3	Seventeen-tone Natural Minor
3 1 3 3 3 3 1	Seventeen-tone Melodic Minor
3 1 3 3 1 5 1	Seventeen-tone Harmonic Minor
3 3 1 3 1 5 1	Seventeen-tone Harmonic Major
3 3 4 3 4	Seventeen-tone Major Pentatonic
4 3 3 4 3	Seventeen-tone Minor Pentatonic, Salendro Sejati: Sunda
3 4 3 4 3	Seventeen-tone Suspended Pentatonic
3 1 3 3 3 2 2	Altered Melodic Minor
6 1 3 6 1	Pelog Degung Sejati: Sunda
6 1 6 3 1	Sorog Madenda Sejati: Sunda
2 5 3 2 5	Malaysian Pelog
2 3 2 3 2 3 2	Neutral Dorian, Maqamic-7
1 4 1 4 2 1 4	Dante's Flying Machine
3 2 1 3 2 1 3 2	Donut Dose
3 3 2 4 2 3	Six Deployments
3 2 2 3 3 2 2	Pseudo Rast
3 2 2 3 1 4 2	Turkish Minor
3 2 3 1 3 2 3	Scorp
3 3 2 2 3 3 1	Screamapillar
3 3 1 1 2 3 2 1 1	Hydra
3 2 2 3 2 3 2	Beatles-7, Dichotic-7
1 2 2 2 1 2 2 1 2 2	Beatles-10, Dichotic-10
2 2 2 2 2 2 2 2 1	Jerome-9, Progression-9
2 1 3 1 3 3 1 2 1	Hajdu non-octave mode
1 2 2 1 2 2 1 2 2 2	Hemififths-10
3 2 3 2 3 2 2	Neutral Hypolydian, Mohajira-7
1 2 2 1 2 2 2 1 2 2	Neutral Hypolydian Decatonic, Mohajira-10
2 1 2 2 1 2 2 2 1 2	Neutral Dorian Decatonic, Maqamic-10
3 5 3 3 3	Machine-5
3 3 2 3 3 3	Machine-6
1 2 1 2 1 2 1 2 1 2 2	Machine-11
1 2 1 1 2 1 2 1 1 2 1 2	Schism-12
1 4 1 4 1 1 4 1	Sentinel-8
1 3 1 1 3 1 1 1 3 1 1	Secor Sentinel-11
3 1 1 3 1 1 1 3 1 1 1	Squares-11
2 1 1 1 2 1 1 1 1 2 1 1 1 1	Squares-14
mode of 17 out of 3/1:
2 2 1 2 1 2 1 2 1 2 1	Toliman-11
17 tone modes of Arabic Pythagorean scale:
256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2
128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1
3 3 1 3 3 1 3	Safi al-Din's maqam `Ussaq
3 1 3 3 1 3 3	Safi al-Din's maqam Nawa
1 3 3 1 3 3 3	Safi al-Din's maqam Abu Salik
3 2 2 3 2 2 3	Safi al-Din's maqam Rast
2 3 2 2 3 2 2 1	Safi al-Din's maqam `Iraq
3 2 2 3 2 2 2 1	Safi al-Din's maqam Isfahan
2 2 3 2 2 1 3 2	Safi al-Din's maqam Zirafkand
2 3 2 2 1 3 2 2	Safi al-Din's maqam Buzurg
3 2 2 2 3 2 3	Safi al-Din's maqam Zangulah
2 3 2 2 2 3 3	Safi al-Din's maqam Rahawi
2 2 3 2 2 3 3	Safi al-Din's maqam Husaini
2 2 3 2 3 2 3	Safi al-Din's maqam Higazi
1 2 1 1 1 1 1 2 1 1 1 1 1 2	al-Kindi's mode
1 2 1 2 1 1 2 1 2 1 3	Ishaq al-Mausili's mode
17 tone modes of Persian scale:
256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16
16/9 729/400 243/128 2/1
3 3 1 3 3 3 1	Dastgah-e Mahur, Rast Panjgah
2 2 3 3 1 3 3	Dastgah-e Shur
2 3 3 1 3 3 2	Naghmeh Abuata, Naghmeh Afshari
3 3 1 3 3 2 2	Naghmeh Bayat-e Tork, Naghmeh Dashti
2 4 1 3 1 3 3	Dastgah-e Homayun
3 1 3 3 2 4 1	Naghmeh Esfahan
3 2 2 3 2 2 3	Dastgah-e Sehgah
2 3 2 2 3 3 2	Dastgah-e Sehgah
3 1 3 3 2 3 2	Dastgah-e Mokhalif, Bayat-e Esfahan
2 4 1 3 2 4 1	Dastgah-e Chahargah
3 1 3 3 2 2 3	Dastgah-e Nava
18 tone modes:
4 4 1 4 4 1	Bicycle
2 3 3 2 3 2 3	Dicot-7
4 4 3 4 3	Father-5
3 1 3 3 1 3 3 1	Father-8
2 1 2 1 2 1 2 1 2 1 2 1	Hexe-12
2 2 2 3 2 2 2 3	Octokaidecal-8
2 2 2 2 1 2 2 2 2 1	Octokaidecal-10
2 2 3 2 2 2 3 2	Supersharp-8
2 2 2 1 2 2 2 2 1 2	Supersharp-10
2 1 2 1 1 2 1 2 1 1 2 1 1	Semisept-13
1 2 1 2 1 1 2 1 1 2 1 2 1	Wilson Supradiatonic
19 tone modes:
1 2 2 1 2 1 2 1 2 2 1 2	Meantone Chromatic (1/3-comma)
5 4 5 5	Four out of 19
4 4 4 4 3	Five out of 19, Godzilla-5 inverse
3 3 5 3 5	Nineteen-tone Major Pentatonic
5 3 3 5 3	Nineteen-tone Minor Pentatonic
3 5 3 5 3	Nineteen-tone Suspended Pentatonic
4 4 3 4 4	Quasi-equal Pentatonic, Semaphore-5
3 3 3 3 3 4	Yasser's Hexad, Spell-6
3 3 3 3 3 3 1	Spell-7
3 3 2 3 3 3 2	Nineteen-tone Major
3 2 3 3 2 3 3	Nineteen-tone Natural Minor
3 2 3 3 3 3 2	Nineteen-tone Melodic Minor
3 2 3 3 2 4 2	Nineteen-tone Harmonic Minor
3 3 2 3 2 4 2	Nineteen-tone Harmonic Major
3 2 3 3 2 1 2 1 2	Nineteen-tone Full Minor
2 1 2 1 2 1 2 2 1 2 1 2	Genus diatonico-chromaticum, Yasser's Supradiatonic inverse
3 1 1 3 1 3 1 1 3 1 1	Keenan Eleven out of 19
2 2 2 2 2 1 2 1 2 2 1	Krantz Eleven out of 19
3 1 1 3 1 1 1 1 3 1 3	McLaren Eleven out of 19
2 2 2 1 2 2 1 2 2 2 1	Noll Pseudo-diatonic
2 2 2 2 2 2 2 2 2 1	Negri's Ten Plus Nine, Negri-10
2 3 1 4 1 4 4	Cartunes
4 1 4 1 4 1 4	Oljare Diminished
5 1 5 1 1 5 1	Oljare Augmented, Magic-7
2 2 3 2 2 3 2 3	Oljare Octatonic, Sensi-8
1 3 1 3 3 1 3 1 3	Oljare Pentaenharmonic
2 2 1 2 2 2 1 2 2 2 1	Gould Eleven out of 19
2 1 2 1 2 2 1 2 1 2 1 2	Yasser's Supradiatonic, Genus diatonico-chromaticum inverse
1 2 5 1 2 5 3	Ratio 1:2 Chromatic Mixolydian
2 5 1 2 5 3 1	Ratio 1:2 Chromatic Lydian
5 1 2 5 3 1 2	Ratio 1:2 Chromatic Phrygian
1 2 5 3 1 2 5	Ratio 1:2 Chromatic Dorian
2 5 3 1 2 5 1	Ratio 1:2 Chromatic Hypolydian
5 3 1 2 5 1 2	Ratio 1:2 Chromatic Hypophrygian
3 1 2 5 1 2 5	Ratio 1:2 Chromatic Hypodorian
1 4 1 4 1 4 4	Kleismic-7
1 4 1 4 1 4 1 3	Kleismic-8
1 1 3 1 3 1 1 3 1 1 3	Kleismic-11
1 1 1 2 1 1 1 2 1 1 1 2 1 1 2	Kleismic-15
3 3 3 3 1 3 3	Glacial-7
2 1 2 1 2 1 2 1 1 2 1 2 1	Glacial-13
3 4 4 4 4	Godzilla-5
3 3 1 3 1 3 1 3 1	Godzilla-9
2 1 2 1 1 2 1 1 2 1 1 2 1 1	Godzilla-14
2 2 2 2 3 2 2 2 2	Negri-9
2 1 2 1 3 3 3 3 1	Straub Whole-Tone
4 1 1 1 4 1 1 4 1 1	Magic-10
3 1 1 1 3 1 1 1 3 1 1 1 1	Magic-13
1 1 3 1 1 1 3 1 1 1 1 3 1	Muggles-13
3 1 3 1 3 1 3 1 3	Semaphore-9
2 5 2 5 5	Sensi-5
2 2 2 1 2 2 2 1 2 2 1	Sensi-11
1 3 1 1 2 2 1 2 1 2 2 1	Starling-12
1 2 1 2 1 2 1 1 2 1 2 1 2	Unsmate-13
2 3 2 2 3 2 2 3	Mandelbaum Eight out of 19
2 2 3 2 2 2 2 2 2	Mandelbaum Nine out of 19
2 2 1 2 2 2 2 2 2 2	Mandelbaum Ten out of 19
2 1 2 2 2 1 2 2 2 1 2	Mandelbaum Eleven out of 19
1 2 1 2 2 1 2 1 2 1 2 2	Mandelbaum Twelve out of 19
2 1 2 1 2 1 2 1 2 1 2 1 1	Mandelbaum Thirteen out of 19, Spell-13
1 2 1 1 2 1 1 2 1 1 2 1 2 1	Mandelbaum Fourteen out of 19
20 tone equal modes:
2 2 1 2 1 2 2 1 2 2 2 1	Twelve-tone Chromatic
4 3 1 4 3 4 1	Twenty-tone "Major"
4 1 3 4 1 4 3	Twenty-tone "Minor"
3 4 1 4 3 3 2	Stearns Major
2 3 2 3 2 3 2 3	Octatonic
3 2 3 2 3 2 3 2	Diminished
2 3 2 2 2 3 2 2 2	Balzano Nine-tone, Score-9
2 2 2 2 1 2 2 2 2 2 1	Balzano Eleven-tone, Agmon Diatonic DS4, Noll Pseudo-diatonic
2 2 2 3 2 2 2 3 2	Balzano Nine-tone inverse
1 2 2 2 2 2 1 2 2 2 2	Balzano Eleven-tone inverse
3 2 2 2 2 3 2 2 2	Rothenberg Generalized Diatonic
2 2 2 2 1 2 2 2 2 1 2	Zweifel Major
2 1 2 2 2 2 2 1 2 2 2	Zweifel Natural Minor
3 3 3 3 3 3 2	Major quasi-equal Heptatonic
3 2 3 3 3 3 3	Minor quasi-equal Heptatonic
1 3 1 1 3 1 1 3 1 1 3 1	Blackbirds-12
1 1 1 4 1 1 1 4 1 1 4	Bossier-11
1 1 1 3 1 1 1 1 3 1 1 1 3 1	Bossier-14
2 2 5 2 2 2 5	Pelogic-7
7 2 7 2 2	Score-5
5 2 2 5 2 2 2	Score-7
1 2 2 2 2 1 2 2 2 2 2	Score-11
3 2 2 2 3 2 2 2 2	Zinith-9
21 tone equal modes:
2 1 2 2 2 1 2 2 2 1 2 2	Twelve-tone Chromatic
4 4 5 4 4	Quasi-equal Pentatonic
4 3 4 3 4 3	Quasi-equal Hexatonic
2 3 2 2 3 2 2 3 2	Quasi-equal Enneatonic, Deflated-9
3 4 3 4 3 4	Augment-6
3 1 3 3 1 3 3 1 3	Augment-9
1 2 1 2 1 1 2 1 2 1 1 2 1 2 1	Augment-15
5 2 5 2 5 2	August-6
3 2 2 3 2 2 3 2 2	August-9
1 2 2 2 1 2 2 2 1 2 2 2	August-12
4 4 4 4 4 1	Gorgo-6
1 4 4 3 1 4 4	Gorgo-Pelog
1 3 1 3 1 3 1 3 1 3 1	Gorgo-11
2 2 2 2 2 2 2 2 2 3	Miracle-10
2 2 2 2 2 2 2 2 2 2 1	Miracle-11
3 3 1 3 3 1 3 3 1	Oodako-9
2 1 2 1 2 1 2 1 2 1 2 1 2 1	Septimal-14
3 1 3 1 3 1 3 1 1 3 1	Spartan-11
1 1 1 3 1 1 3 1 1 3 1 1 3	Subklei-13
3 2 3 2 3 3 2 3	Tridec-8
22 tone modes:
3 1 1 3 1 3 1 3 1 1 3 1	Twelve-tone Chromatic (1/3-comma positive)
4 4 1 4 4 4 1	Twenty-two tone Major
4 1 4 4 1 4 4	Twenty-two tone Minor, Superpyth-7
4 3 2 4 3 4 2	Twenty-two tone "Just" Major
4 2 3 4 2 3 4	Twenty-two tone "Just" Minor
4 2 3 4 2 4 3	Twenty-two tone Natural Minor
4 2 3 4 3 4 2	Twenty-two tone Melodic Minor
4 2 3 4 2 5 2	Twenty-two tone Harmonic Minor
4 3 2 4 2 5 2	Twenty-two tone Harmonic Major
4 3 3 4 4 4	Harmonic Whole-Tone
4 3 4 4 3 4	"9-limit" Consonant Whole-Tone, Astrology-6
3 1 3 3 1 3 1 3 3 1	Astrology-10
1 4 1 4 1 1 4 1 4 1	Doublewide-10
1 1 3 1 1 3 1 1 1 3 1 1 3 1	Doublewide-14
1 1 3 1 1 1 3 1 1 3 1 1 1 3	Fleetwood-14
5 3 3 5 3 3	Hedgehog-6
2 3 3 3 2 3 3 3	Hedgehog-8
2 1 2 2 1 2 1 2 1 2 2 1 2 1	Hedgehog-14
2 2 1 2 2 2 2 2 1 2 2 2	Jubilee-12
6 1 6 1 1 6 1	Magic-7
5 1 1 1 5 1 1 5 1 1	Magic-10
4 1 1 1 4 1 1 1 4 1 1 1 1	Magic-13
5 5 5 5 2	Orwell-5
3 2 3 2 3 2 3 2 2	Orwell-9
1 2 2 1 2 2 1 2 2 1 2 2 2	Orwell-13
2 3 2 3 2 3 2 3 2	Rezsutek's Percussion scale
2 2 2 1 2 2 2 2 2 1 2 2	Pajara-12
1 3 1 1 3 1 3 1 1 3 1 3	Superpyth-12
4 1 4 4 4 1 4	Supra-7
1 3 1 3 1 1 3 1 3 1 3 1	Supra-12
2 2 1 2 1 2 1 2 2 1 2 1 2 1	Urchin-14
3 1 3 1 3 1 1 3 1 3 1 1	Wilson Pi-Meantone
5 4 4 5 4	Septimal Minor Pentatonic, Supra-5
4 3 3 3 3 3 3	Major quasi-equal Heptatonic, Porky-7
3 3 3 4 3 3 3	Minor quasi-equal Heptatonic, Miller's Porcupine-7
3 4 3 3 3 3 3	Miller's Porcupine-7 Major
4 3 2 4 3 3 3	Ionian Porcupine
4 2 3 4 3 3 3	Dorian Porcupine
3 3 3 4 2 3 4	Aeolian Porcupine
4 3 3 3 3 4 2	Major Porcupine
4 3 3 3 2 4 3	Major-Minor Porcupine
4 2 3 4 3 3 3	Minor Porcupine
4 3 3 3 4 3 2	Chameleon Porcupine
3 3 4 2 4 3 3	Symmetric Diminished Porcupine
3 3 1 3 3 3 3 3	Jones's Porcupine-8
2 1 2 1 1 2 1 2 1 2 1 2 1 2 1	Porcupine-15
3 1 3 2 2 2 3 2 2 2	Alternate Proper Decatonic
2 2 3 1 3 2 2 3 1 3	Exotic Symmetrical Decatonic
2 2 2 2 2 2 1 1 2 2 2 2	Elevenplus
2 2 2 2 1 2 2 2 2 2 2 1	Hexachordal
2 2 1 2 2 2 1 2 2 1 2 2 1	Noll Pseudo-diatonic
3 1 6 2 6 1 3	Ballooning Rushes
1 3 5 1 3 5 1 3	Crushed Oranges
2 1 7 2 1 7 2	Kathartic Parts
1 4 1 4 2 1 4 1 4	Rivetting Reds
4 1 3 1 4 1 3 1 4	Rodentalia
Paul Erlich's 22 tone equal modes:
2 2 3 2 2 2 3 2 2 2	Standard Pentachordal Major
2 2 3 2 2 2 2 3 2 2	Static Symmetrical Major
2 3 2 2 2 2 2 3 2 2	Alternate Pentachordal Major
2 3 2 2 2 2 3 2 2 2	Dynamic Symmetrical Major
2 2 2 3 2 2 2 2 2 3	Standard Pentachordal Minor
2 2 2 3 2 2 2 2 3 2	Static Symmetrical Minor, Pajara-10
2 2 2 2 3 2 2 2 3 2	Alternate Pentachordal Minor
2 2 2 2 3 2 2 2 2 3	Dynamic Symmetrical Minor
3 2 2 2 3 2 2 2 2 2	Pentachordal Decatonic
6 3 1 3 6 3	Twenty-two tone Blues
22 tone modes of Indian shruti scale:
256/243 16/15 10/9 9/8 32/27 6/5 5/4 81/64 4/3 27/20 45/32 729/512 (or 64/45)
3/2 128/81 8/5 5/3 27/16 16/9 9/5 15/8 243/128 2/1
4 3 2 4 4 3 2	Shadja Grama, Murchhana Uttaramandra, Shuddha Swara Saptaka
[20] 2 4 3 2 4 4 3	Murchhana Rajani
[17] 3 2 4 3 2 4 4	Murchhana Uttarayata
4 3 2 4 3 2 4	Murchhana Suddhasadja, Raga Harikambhoji, Palaiyazh
4 4 3 2 4 3 2	Murchhana Asvakranta
3 2 4 4 3 2 4	Murchhana Abhirudgata, Kafi That, Raga Bageshri
4 3 2 4 3 4 2	Madhyama Grama, Bilaval That, Murchhana Suddhamadhya
[20] 2 4 3 2 4 3 4	Murchhana Margavi
3 4 2 4 3 2 4	Murchhana Hrishyaka
4 3 4 2 4 3 2	Murchhana Sauviri, Kalyan That
2 4 3 4 2 4 3	Murchhana Harinasva, Bhairavi That
[4] 3 2 4 3 4 2 4	Murchhana Kalopanata
3 2 4 3 3 3 4	Gandhaara Grama (Sarngadeva der. sa-grama)
3 2 4 3 2 4 4	Gandhaara Grama (Sarngadeva der. ma-grama)
4 2 4 3 3 3 3	Gandhaara Grama (Narada der. sa-grama)
4 2 4 3 2 4 3	Gandhaara Grama (Narada der. ma-grama), Murchhana Pauravi
4 2 3 4 2 4 3	Gandhaara Grama (Damodara), Raga Darbari, Darbari Kanada
2 4 3 3 3 4 3	Gandhaara Grama (Somanatha)
2 4 4 3 2 4 3	Gandhaara Grama (Popley), Murchhana Matsarikrita
4 2 3 4 2 2 2 3	Raga Anandabhairavi
1 4 4 4 1 5 3	Raga Asavari
4 2 3 4 2 3 4	Asavari That
2 5 6 2 5 2	Raga Bauli
1 6 2 4 1 7 1	Bhairav That
2 5 2 3 1 3 4 2	Raga Bhatiyar
4 3 6 4 5	Raga Bhupali
4 3 2 3 1 4 4 1	Raga Bihag
1 4 4 4 1 4 4	Raga Bilashkhani Todi
4 3 2 3 1 3 2 3 1	Raga Chayanat
3 4 6 3 6	Raga Deskar
4 5 4 4 5	Raga Durga
4 3 2 3 1 4 3 2	Raga Gaud Sarang
1 4 6 3 7 1	Raga Gurjari Todi
4 3 6 7 2	Raga Hamsadhvani
4 1 4 4 1 4 4	Raga Jaunpuri
3 4 2 4 3 4 2	Raga Jogiya
2 3 4 4 2 3 4	Raga Kanakangi
4 3 2 4 4 1 4	Khamaj That
4 3 2 4 3 2 3 1	Raga Khamaj
4 3 2 4 3 6	Raga Kambhoji
4 2 3 4 4 2 3	Raga Kharaharapriya, Bhimpalasi
1 6 2 2 3 7 1	Raga Lalita
4 2 5 2 4 3 2	Raga Madhuvanti, Ambika
6 3 6 3 4	Raga Malkauns
2 5 4 2 4 3 2	Raga Marva
4 2 3 4 4 2 2 1	Raga Mian Ki Malhar
3 2 4 4 2 1 2 4	Raga Mukhari
2 4 6 1 1 7 1	Raga Multani
2 5 5 1 3 4 2	Raga Puriya Kalyan
2 5 5 1 2 5 2	Purvi That, Raga Shri
4 2 2 1 4 4 2 2 1	Raga Ramdasi Malhar
1 6 2 1 3 1 6 2	Raga Ramkali
1 4 4 4 1 7 1	Raga Rampurmat Pilu
1 6 2 4 1 2 4 2	Raga Saurashtra
2 7 4 1 8	Raga Saveri
3 6 4 3 6	Raga Suddha Malhar
4 3 2 2 2 3 4 2	Raga Suddha Kalyan
6 3 4 2 5 2	Raga Takka
7 2 4 5 2 2	Raga Tilang
1 4 7 1 1 7 1	Todi That
1 4 7 1 1 6 2	Raga Varali
1 6 6 3 6	Raga Vibhas (marva)
4 4 4 1 4 4 1	Raga Yaman
4 3 2 3 1 3 5 1	Raga Yaman Kalyan
2 2 2 1 2 2 2 2 2 2 1 2	Modern Indian gamut
3 2 1 1 2 3 1 3 2 1 1 2	Old Indian gamut
22 tone mode of Tamil matra scale:
4 4 3 2 4 3 2	Seven-tone gamut (saptaka)
23 tone modes:
3 3 3 5 3 3 3	Symmetrical Heptatonic
3 4 3 3 3 4 3	Armodue-7
3 3 3 1 3 3 3 3 1	Armodue-9
2 3 3 3 3 3 3 3	Greeley-8
2 2 1 2 1 2 1 2 1 2 1 2 1 2 1	Greeley-15
7 3 3 7 3	Mavila-5
3 4 3 3 4 3 3	Mavila-7
3 1 3 3 3 1 3 3 3	Mavila-9
3 3 3 4 3 3 4	Pelogic-7
3 2 3 2 3 3 2 3 2	Pentoid-9
2 2 2 1 2 2 2 2 2 2 2 2	Ripple-12
2 2 5 2 5 2 5	Sephiroth-7
2 2 2 3 2 2 3 2 2 3	Sephiroth-10
5 1 5 1 5 1 5	Starlingtet-7
3 2 3 2 3 2 3 2 3	Stearns 9-tone
2 2 2 2 2 3 2 2 2 2 2	Stearns 11-tone
2 3 5 3 2 3 5	Superpelog-Pelog
2 3 2 3 2 3 2 3 3	Superpelog-9
2 2 1 2 2 1 2 2 1 2 2 1 2 1	Superpelog-14
3 3 1 3 3 3 3 1 3	Wilson Supradiatonic
2 1 4 2 1 4 2 1 4 2	Enshrouded House of Kundalini
24 tone modes:
1 1 8 1 1 8 4	Enharmonic Mixolydian
1 8 1 1 8 4 1	Enharmonic Lydian
8 1 1 8 4 1 1	Enharmonic Phrygian
1 1 8 4 1 1 8	Enharmonic Dorian
1 8 4 1 1 8 1	Enharmonic Hypolydian
8 4 1 1 8 1 1	Enharmonic Hypophrygian
4 1 1 8 1 1 8	Enharmonic Hypodorian
2 3 5 2 3 5 4	Soft Diatonic Mixolydian
3 5 2 3 5 4 2	Soft Diatonic Lydian
5 2 3 5 4 2 3	Soft Diatonic Phrygian
2 3 5 4 2 3 5	Soft Diatonic Dorian
3 5 4 2 3 5 2	Soft Diatonic Hypolydian
5 4 2 3 5 2 3	Soft Diatonic Hypophrygian
4 2 3 5 2 3 5	Soft Diatonic Hypodorian
3 3 4 3 3 4 4	Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian
3 4 3 3 4 4 3	Dastgah-e Sehgah, Neutral Diatonic Lydian
4 3 3 4 4 3 3	Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian
3 3 4 4 3 3 4	Maqam Hussaini, Ushaq, Neutral Diatonic Dorian
3 4 4 3 3 4 3	Maqam Sikah (Segah), Neutral Diatonic Hypolydian
4 4 3 3 4 3 3	Neutral Diatonic Hypophrygian
4 3 3 4 3 3 4	Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz
1 5 4 1 5 4 4	Diatonic + Enharmonic Diesis Mixolydian
5 4 1 5 4 4 1	Diatonic + Enharmonic Diesis Lydian
4 1 5 4 4 1 5	Diatonic + Enharmonic Diesis Phrygian
1 5 4 4 1 5 4	Diatonic + Enharmonic Diesis Dorian
5 4 4 1 5 4 1	Diatonic + Enharmonic Diesis Hypolydian
4 4 1 5 4 1 5	Diatonic + Enharmonic Diesis Hypophrygian
4 1 5 4 1 5 4	Diatonic + Enharmonic Diesis Hypodorian
1 3 6 1 3 6 4	Chromatic/Enharmonic Mixolydian
3 6 1 3 6 4 1	Chromatic/Enharmonic Lydian
6 1 3 6 4 1 3	Chromatic/Enharmonic Phrygian
1 3 6 4 1 3 6	Chromatic/Enharmonic Dorian
3 6 4 1 3 6 1	Chromatic/Enharmonic Hypolydian
6 4 1 3 6 1 3	Chromatic/Enharmonic Hypophrygian
4 1 3 6 1 3 6	Chromatic/Enharmonic Hypodorian
3 4 3 3 4 3 4	Neutral Mixolydian, Iced Blizzard
4 3 3 4 3 4 3	Neutral Lydian, Iced Major
3 3 4 3 4 3 4	Neutral Phrygian, Iced Locrian
3 4 3 4 3 4 3	Neutral Dorian, Misaelides 2nd Byzantine mode, Iced Fridgian, Maqam Sikah Baladi, Maqamic-7
4 3 4 3 4 3 3	Neutral Hypolydian, Mohajira-7, Iced Lydian
3 4 3 4 3 3 4	Neutral Hypophrygian, Iced Mixolydian
4 3 4 3 3 4 3	Neutral Hypodorian, Iced Dark Lydian
1 2 7 1 2 7 4	Ratio 1:2 Hemiolic Chromatic Mixolydian
2 7 1 2 7 4 1	Ratio 1:2 Hemiolic Chromatic Lydian
7 1 2 7 4 1 2	Ratio 1:2 Hemiolic Chromatic Phrygian
1 2 7 4 1 2 7	Ratio 1:2 Hemiolic Chromatic Dorian
2 7 4 1 2 7 1	Ratio 1:2 Hemiolic Chromatic Hypolydian
7 4 1 2 7 1 2	Ratio 1:2 Hemiolic Chromatic Hypophrygian
4 1 2 7 1 2 7	Ratio 1:2 Hemiolic Chromatic Hypodorian
3 5 2 4 3 5 2	Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
4 2 4 4 3 3 4	Dastgah-e Nava, Maqam Ushaq Masri
2 7 1 4 2 7 1	Second plagal Byzantine Liturgical mode
5 5 4 5 5	Quasi-equal Pentatonic, Semaphore-5
3 3 4 4 2 4 4	Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
3 3 4 4 2 1 3 4	Maqam Bayati
3 3 4 4 4 2 4	Maqam Nahfat
3 3 2 6 2 4 4	Maqam Saba
3 3 2 6 2 4 2 2	Maqam Saba
3 3 2 6 2 6 2	Maqam Sabr Jadid
3 3 2 2 4 3 3 4	Maqam Mansuri
4 3 3 4 2 6 2	Maqam Suznak (Soznak)
4 3 3 4 4 2 1 3	Maqam Rast, Dilkashidah, Dilnishin
4 3 3 4 4 4 2	Maqam Mahur
4 3 1 2 1 3 4 2 1 3	Maqam Yakah
4 3 1 2 4 4 2 4	Maqam Suzidil 'ara
3 3 4 2 6 2 4	Maqam Qarjighar, Bayati Shuri
3 4 2 2 2 2 2 4 3	Maqam Huzzam
3 4 2 6 2 4 3	Maqam Hizam (Huzzam, El Houzam), Rahat al Arouah
3 4 2 6 2 4 2 1	Maqam Rahat al-Arwah
3 4 3 3 4 4 2 1	Maqam Iraq
2 6 2 4 2 1 3 4	Maqam Hijaz
3 4 4 2 1 3 4 3	Maqam Musta'ar
3 4 4 4 2 4 2 1	Maqam Farahnak
3 4 3 3 2 6 2 1	Maqam Bastanikar, Tarz Nuin
4 2 6 2 4 2 1 3	Maqam Farah Faza, Maqam Nakriz
4 2 1 3 2 2 2 2 3 1 2	Maqam Hayyan
4 2 1 3 2 2 4 2 1 3	Maqam Basandida
4 4 2 1 3 2 2 4 2	Maqam Shawq Afza
2 1 3 2 2 4 2 4 2 2	Maqam Shawq Tarab
3 1 2 4 4 2 4 4	Maqam Jabburi
2 4 4 4 3 3 4	Maqam Nawa
2 5 3 4 2 5 3	Maqam Higaz-kar
3 4 4 2 4 4 3	Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
4 4 2 4 4 3 3	Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
4 4 3 3 4 4 2	Maqam 'Ajam Murassah
3 5 2 4 2 4 4	Dastgah-e Homayun
4 2 4 4 3 5 2	Naghmeh Esfahan
3 6 1 5 2 6 1	Maqam 'Awg 'ara (Aug-ara)
4 1 5 4 2 6 2	Maqam Buselik
4 2 6 2 2 5 3	Maqam Neuter
2 8 3 6 5	Anchihoye: Ethiopia
4 3 3 4 4 2 4	Dance scale of Yi people: China
4 4 2 3 1 4 6	Daniel-mode of Spanish-Arab Jews
3 7 4 3 7	Spondeion
1 1 8 4 2 8	Spondeiakos
1 4 4 2 4 4 4 1	Dalmonte 8-tone
1 5 3 1 5 3 1 5	Spongework
4 4 2 1 3 4 3 1 2	Xiangliu
9 2 2 9 2	de Vries 5-tone
4 1 4 1 4 1 4 1 4	de Vries 9-tone, Semaphore-9
1 2 2 2 2 2 2 1 2 2 2 2 2	de Vries 13-tone
2 2 3 2 3 2 2 3 2 3	Anguirus-10
2 1 2 2 1 2 2 2 1 2 2 1 2 2	Anguirus-14
1 3 3 4 3 4 3 3	Freivald Lament
3 2 2 2 2 3 2 2 2 2 2	Freivald-11
1 2 2 2 2 2 1 2 2 2 2 2 2	Freivald-13
4 5 5 5 5	Godzilla-5
4 4 1 4 1 4 1 4 1	Godzilla-9
3 1 3 1 1 3 1 1 3 1 1 3 1 1	Godzilla-14
5 1 1 1 5 1 1 1 5 1 1 1	Hemiaug-12
1 3 3 1 3 3 1 3 3 3	Migration-10
1 2 3 4 4 1 2 3 4	Progressive Enneatonic
3 3 2 3 3 2 3 3 2	Triforce-9
1 2 1 2 2 1 2 1 2 2 1 2 1 2 2	Triforce-15
2 3 2 3 2 2 3 2 3 2	Young Decatonic, Decimal-10
2 2 1 2 2 2 1 2 2 1 2 2 2 1	Young Half-Octave Diatonic, Decimal-14
3 1 3 3 3 1 3 3 1 3	Breed Decatonic
1 3 3 1 3 3 3 1 3 3	Neutral Hypolydian Decatonic, Mohajira-10
3 1 3 3 1 3 3 3 1 3	Neutral Dorian Decatonic, Maqamic-10
2 3 2 2 3 2 3 2 2 3	Oljare Decatonic
3 1 3 1 2 3 1 3 1 3 1 2	Iceface
1 3 2 1 3 1 3 2 1 2 3 2	Vaisvil's Mixed-Quarters
2 2 2 2 2 1 2 2 2 2 2 2 1	Agmon Diatonic DS5
25 tone equal modes:
4 4 2 5 4 4 2	Twenty-five tone "Major"
4 2 4 5 2 4 4	Twenty-five tone "Minor"
3 2 3 2 3 2 3 2 3 2	Archytas Clan-10
3 5 3 3 3 5 3	Armodue-7, Twenty-five tone Antimajor
3 3 3 2 3 3 3 3 2	Armodue-9
2 3 2 3 2 3 2 3 2 3	Blackwood-10
2 1 2 2 1 2 2 1 2 2 1 2 2 1 2	Blackwood-15
3 4 4 3 4 3 4	Dicot-7
4 4 4 4 4 5	Hemithirds-6, Spell-6
4 4 4 4 4 4 1	Hemithirds-7
3 1 3 1 3 1 3 1 3 1 3 1 1	Hemithirds-13, Spell-13
3 3 2 3 3 3 3 2 3	Mabila-9
7 1 7 1 1 7 1	Magic-7
6 1 1 1 6 1 1 6 1 1	Magic-10
5 1 1 1 5 1 1 1 5 1 1 1 1	Magic-13
8 3 3 8 3	Mavila-5
3 5 3 3 5 3 3	Mavila-7
3 2 3 3 3 2 3 3 3	Mavila-9
3 1 3 1 3 3 1 3 3 1 3	Mohavila-11
3 3 3 5 3 3 5	Pelogic-7
4 4 3 4 3 4 3	Sixix-7
2 2 2 1 2 2 2 2 1 2 2 2 2 1	Ketradektriatoh
26 tone equal modes:
1 3 3 1 3 1 3 1 3 3 1 3	Meantone Chromatic (4/9-comma)
4 4 3 4 4 4 3	Twenty-six tone Major
4 3 4 4 3 4 4	Twenty-six tone Natural Minor
4 3 4 4 4 4 3	Twenty-six tone Melodic Minor
4 3 4 4 3 5 3	Twenty-six tone Harmonic Minor
4 4 3 4 3 5 3	Twenty-six tone Harmonic Major
5 5 6 5 5	Quasi-equal Pentatonic, Mothra-5
3 5 5 3 5 5	Decibel-6
1 5 1 5 1 1 5 1 5 1	Doublewide-10
1 1 4 1 1 4 1 1 1 4 1 1 4 1	Doublewide-14
1 3 3 1 3 1 3 3 1 3 1 3	Flattone-12
2 2 2 2 2 3 2 2 2 2 2 3	Injera-12
3 3 3 3 3 3 3 3 2	Jerome-9, Progression-9
5 3 5 5 3 5	Lemba-6
3 2 3 2 3 3 2 3 2 3	Lemba-10
4 1 4 1 4 1 4 1 4 1 1	Mothra-11
2 5 5 2 5 2 5	Orgone-7
2 2 3 2 3 2 2 3 2 2 3	Orgone-11
3 1 3 1 3 1 1 3 1 3 1 3 1 1	Secant-14
4 1 4 1 4 1 4 1 1 4 1	Spartan-11
5 2 5 2 5 2 5	Superkleismic-7
2 3 2 3 2 2 3 2 2 3 2	Superkleismic-11
1 2 2 2 1 2 2 2 1 2 2 2 1 2 2	Superkleismic-15
2 2 2 2 2 2 1 2 2 2 2 2 2 1	Erlich Double Diatonic, Injera-14
2 2 2 2 2 2 1 2 2 2 2 2 1 2	Static Major
2 2 2 2 2 1 2 2 2 2 2 2 2 1	Dynamic Major
2 1 2 2 2 2 2 2 2 1 2 2 2 2	Static Minor
2 2 1 2 2 2 2 2 1 2 2 2 2 2	Dynamic Minor
2 2 2 2 2 2 2 1 2 2 2 2 2 1	Injera
27 tone equal modes:
4 1 1 4 1 4 1 4 1 1 4 1	Twelve-tone Chromatic (4/9-comma positive)
5 4 2 5 4 5 2	Twenty-seven tone "Major"
5 2 4 5 2 5 4	Twenty-seven tone "Minor"
6 5 5 6 5	Septimal Minor Pentatonic
7 2 7 2 7 2	Augene-6
2 5 2 2 5 2 2 5 2	Augene-9
2 2 3 2 2 2 3 2 2 2 3 2	Augene-12
2 2 2 1 2 2 2 2 1 2 2 2 2 1 2	Augene-15
5 3 3 5 3 5 3	Beatles-7, Dichotic-7
2 3 3 3 2 3 3 2 3 3	Beatles-10, Dichotic-10
2 2 3 2 3 2 3 2 3 2 3	Kumonga-11
6 1 6 1 6 1 6	Myna-7
1 5 1 1 5 1 5 1 1 5 1	Myna-11
1 1 4 1 1 1 4 1 1 1 4 1 1 4 1	Myna-15
2 2 2 2 2 2 2 2 2 2 2 2 2 1	Octacot-14
4 4 1 4 4 1 4 4 1	Oodako-9
3 3 4 3 3 4 3 4	Sensi-8
3 3 3 1 3 3 3 1 3 3 1	Sensi-11
2 3 2 2 2 3 2 2 2 3 2 2	Starling-12
1 4 1 1 4 1 4 1 1 4 1 4	Superpyth-12
4 4 4 4 4 4 3	Tetracot-7
1 3 1 3 1 3 1 3 3 1 3 1 3	Tetracot-13
5 4 5 4 5 4	Quasi-equal Hexatonic
3 2 2 2 3 2 2 2 3 2 2 2	Miller's Galticeran
28 tone equal modes:
2 3 2 2 3 2 2 3 2 2 3 2	Twelve-tone Chromatic
2 5 2 5 2 5 2 5	Octatonic
5 2 5 2 5 2 5 2	Diminished
3 4 3 4 3 4 3 4	Quasi-equal Octatonic
5 4 5 5 4 5	Antikythera-6
4 1 4 4 1 4 1 4 4 1	Antikythera-10
2 2 3 2 2 3 2 2 3 2 2 3	Demolished-12
5 5 3 5 5 5	Machine-6
2 3 2 3 2 3 2 3 2 3 3	Machine-11
3 3 3 3 4 3 3 3 3	Negri-9
3 3 3 3 3 3 3 3 3 1	Negri-10
3 3 3 5 3 3 3 5	Octokaidecal-8
3 3 3 3 2 3 3 3 3 2	Octokaidecal-10
3 3 5 3 3 3 5 3	Supersharp-8
3 3 3 2 3 3 3 3 2 3	Supersharp-10
5 2 2 2 2 5 2 2 2 2 2	Thuja-13
3 2 2 2 2 2 3 2 2 2 2 2 2	Thuja-15
1 3 1 3 1 3 1 3 1 3 1 3 1 3	Whitewood-14
29 tone equal modes:
3 2 2 3 2 3 2 3 2 2 3 2	Twelve-tone Chromatic (1/14-comma positive)
5 5 2 5 5 5 2	Twenty-nine tone Major
5 2 5 5 2 5 5	Twenty-nine tone Minor
5 4 3 5 4 5 3	Twenty-nine tone "Just" Major
5 3 4 5 3 4 5	Twenty-nine tone "Just" Minor
5 3 4 5 3 5 4	Twenty-nine tone Natural Minor
5 3 4 5 4 5 3	Twenty-nine tone Melodic Minor
5 3 4 5 3 6 3	Twenty-nine tone Harmonic Minor
5 4 3 5 3 6 3	Twenty-nine tone Harmonic Major
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2	Belauensis-15
5 6 6 6 6	Immunity-5
5 5 1 5 1 5 1 5 1	Immunity-9
4 3 3 3 3 4 3 3 3	Isopelogic-9
1 3 3 3 3 3 1 3 3 3 3	Isopelogic-11
3 3 3 2 3 3 3 3 3 3	Keenan Decatonic
2 2 2 3 2 2 2 2 2 2 2 2 2 2	Nautilus-14
3 3 3 3 5 3 3 3 3	Negri-9
3 3 3 3 3 3 3 3 3 2	Negri-10
4 4 4 5 4 4 4	Miller's Porcupine-7
4 5 4 4 4 4 4	Miller's Porcupine-7 Major
4 4 4 4 4 4 4 1	Miller's Porcupine-8
4 4 1 4 4 4 4 4	Jones's Porcupine-8
5 4 4 4 4 4 4	Porky-7
2 3 2 2 3 2 3 2 2 3 2 3	Schismic-12
6 6 5 6 6	Quasi-equal Pentatonic, Semaphore-5
5 1 5 1 5 1 5 1 5	Semaphore-9
4 3 4 3 4 4 3 4	Tridec-8
30 tone equal modes:
5 5 2 6 5 5 2	Thirty tone "Major"
5 2 5 6 2 5 5	Thirty tone "Minor"
10 3 10 5 2	Madenda: Sunda
3 3 2 3 3 3 2 3 3 3 2	Balzano Eleven-tone
2 3 3 3 2 3 3 3 2 3 3	Balzano Eleven-tone inverse
5 1 4 2 3 3 2 4 1 5	Equal temperaments 5 and 6 mixed
2 2 2 3 2 2 2 2 2 2 3 2 2 2	Bipelog-14
3 4 3 3 4 3 3 4 3	Deflated-9
3 2 3 2 3 2 3 2 3 2 3 2	Hexe-12
9 4 4 9 4	Mavila-5
4 5 4 4 5 4 4	Mavila-7
4 1 4 4 4 1 4 4 4	Mavila-9
3 8 3 8 8	Mechanism-5
3 3 5 3 3 5 3 5	Mechanism-8
3 2 3 3 3 2 3 3 3 2 3	Mechanism-11
4 4 4 5 4 4 5	Pelogic-7
3 2 2 3 2 2 3 2 2 3 2 2 2	Ragimetric-13
3 2 3 3 3 2 3 3 2 3 3	Stacks-11
31 tone equal modes:
2 3 3 2 3 2 3 2 3 3 2 3	Meantone Chromatic (53/220-comma)
5 5 3 5 5 5 3	Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
5 3 5 5 3 5 5	Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
5 3 5 5 5 5 3	Thirty-one tone Melodic Minor
5 3 5 5 3 7 3	Thirty-one tone Harmonic Minor
5 5 3 5 3 7 3	Thirty-one tone Harmonic Major
5 5 3 5 3 5 5	Thirty-one tone Major-Minor
5 8 5 13	Genus primum
10 3 5 5 5 3	Genus secundum
8 2 8 3 7 3	Genus tertium
10 10 10 1	Genus quartum
5 7 6 7 5 1	Genus quintum
4 6 2 6 4 3 3 3	Genus sextum
4 6 5 6 4 6	Genus septimum
6 6 6 1 6 6	Genus octavum
4 6 9 6 4 2	Genus nonum
13 6 6 6	Genus decimum
5 5 3 5 5 3 2 3	Genus diatonicum
3 5 2 3 5 3 2 5 3	Genus chromaticum
5 5 2 1 5 5 2 3 3	Genus diatonicum cum septimis
3 4 3 3 2 1 4 1 4 1 2 3	Genus enharmonicum vocale
2 2 4 2 2 3 3 3 1 3 3 3	Genus enharmonicum instrumentale
3 2 3 2 3 2 3 3 2 3 2 3	Genus diatonico-chromaticum
5 2 1 2 5 3 2 1 4 1 2 3	Genus bichromaticum
2 3 2 3 3 2 3 3 2 2 3 3	Hexy
2 3 3 2 3 5 2 1 2 3 2 3	Major Wing
5 3 2 3 3 2 3 2 3 2 1 2	Minor Wing
2 1 1 1 5 2 5 1 1 1 2 3 3 3	Dekatesserany
7 6 5 7 6	Septimal Minor Pentatonic
3 5 5 5 3 7 3	Neapolitan Minor, Hungarian Gipsy
3 7 3 5 3 7 3	Major Gipsy, Double Harmonic Major
5 3 7 3 3 5 5	Minor Gipsy
5 3 7 3 3 7 3	Double Harmonic Minor, Hungarian Minor
3 2 2 3 3 2 3 3 2 2 3 3	Fokker 12-tone
5 3 5 3 5 2 5 3	Diminished, Modus conjunctus
3 5 2 5 3 5 3 5	Octatonic
4 4 5 4 4 5 5	Neutral Diatonic Mixolydian
4 5 4 4 5 5 4	Neutral Diatonic Lydian
5 4 4 5 5 4 4	Neutral Diatonic Phrygian, Rast
4 4 5 5 4 4 5	Neutral Diatonic Dorian
4 5 5 4 4 5 4	Neutral Diatonic Hypolydian
5 5 4 4 5 4 4	Neutral Diatonic Hypophrygian
5 4 4 5 4 4 5	Neutral Diatonic Hypodorian
4 5 4 4 5 4 5	Neutral Mixolydian
5 4 4 5 4 5 4	Neutral Lydian
4 4 5 4 5 4 5	Neutral Phrygian
4 5 4 5 4 5 4	Neutral Dorian
5 4 5 4 5 4 4	Neutral Hypolydian, Mohajira-7
4 5 4 5 4 4 5	Neutral Hypophrygian
5 4 5 4 4 5 4	Neutral Hypodorian
2 2 9 2 2 9 5	Hemiolic Chromatic Mixolydian
2 9 2 2 9 5 2	Hemiolic Chromatic Lydian
9 2 2 9 5 2 2	Hemiolic Chromatic Phrygian
2 2 9 5 2 2 9	Hemiolic Chromatic Dorian
2 9 5 2 2 9 2	Hemiolic Chromatic Hypolydian
9 5 2 2 9 2 2	Hemiolic Chromatic Hypophrygian
5 2 2 9 2 2 9	Hemiolic Chromatic Hypodorian
2 3 8 2 3 8 5	Ratio 2:3 Chromatic Mixolydian
3 8 2 3 8 5 2	Ratio 2:3 Chromatic Lydian
8 2 3 8 5 2 3	Ratio 2:3 Chromatic Phrygian
2 3 8 5 2 3 8	Ratio 2:3 Chromatic Dorian
3 8 5 2 3 8 2	Ratio 2:3 Chromatic Hypolydian
8 5 2 3 8 2 3	Ratio 2:3 Chromatic Hypophrygian
5 2 3 8 2 3 8	Ratio 2:3 Chromatic Hypodorian
3 5 5 3 5 5 5	Intense Diatonic Mixolydian, M.Locrian
5 3 5 5 5 3 5	Intense Diatonic Phrygian, M.Dorian
3 5 5 5 3 5 5	Intense Diatonic Dorian, M.Phrygian
5 5 5 3 5 5 3	Intense Diatonic Hypolydian, M.Lydian
5 5 3 5 5 3 5	Intense Diatonic Hypophrygian, M.Mixolydian
2 5 6 2 5 6 5	Soft Diatonic Mixolydian
5 6 2 5 6 5 2	Soft Diatonic Lydian
6 2 5 6 5 2 5	Soft Diatonic Phrygian
2 5 6 5 2 5 6	Soft Diatonic Dorian
5 6 5 2 5 6 2	Soft Diatonic Hypolydian
6 5 2 5 6 2 5	Soft Diatonic Hypophrygian
5 2 5 6 2 5 6	Soft Diatonic Hypodorian
1 2 10 1 2 10 5	Enharmonic Mixolydian
2 10 1 2 10 5 1	Enharmonic Lydian
10 1 2 10 5 1 2	Enharmonic Phrygian
1 2 10 5 1 2 10	Enharmonic Dorian
2 10 5 1 2 10 1	Enharmonic Hypolydian
10 5 1 2 10 1 2	Enharmonic Hypophrygian
5 1 2 10 1 2 10	Enharmonic Hypodorian
6 6 7 6 6	Quasi-equal Pentatonic, Mothra-5
4 3 3 5 3 3 4 3 3	Hahn Trichordal
3 3 4 3 5 3 4 3 3	Hahn Symmetrical Pentachordal
3 4 3 3 5 3 4 3 3	Hahn Pentachordal
4 4 2 5 3 3 4 3 3	Hahn Nonatonic
4 1 4 4 4 1 4 4 1 4	Breed Decatonic
4 2 4 2 4 2 4 3 3 3	Lumma Decatonic
1 5 1 3 3 3 1 5 1 2 4 2	Hexany Flanker
1 4 2 3 2 2 4 2 3 2 3 3	Secor 12-tone
5 1 5 1 5 1 5 1 5 1 1	de Vries 11-tone, Mothra-11
1 4 4 1 4 4 4 1 4 4	Neutral Hypolydian Decatonic, Mohajira-10
4 1 4 4 1 4 4 4 1 4	Neutral Dorian Decatonic
5 3 3 3 3 5 3 3 3	Rothenberg Generalized Diatonic
5 2 6 5 2 5 6	"Septimal" Natural Minor
5 5 3 1 4 5 4 1 3	Naga
3 2 3 2 1 5 2 3 3 2 2 3	Duohex
2 3 2 4 2 3 2 2 3 3 3 2	Heathwaite's Meteoroid
1 7 1 2 1 7 1 2 1 7 1	Nested Bees
3 7 1 7 3 5 5	Strange Diatonic
3 1 3 1 5 1 3 1 3 1 5 1 3	Tancuva
3 3 3 3 3 3 3 4 3 3	Apparatus-10
3 3 3 3 3 3 3 3 1 3 3	Apparatus-11
3 4 4 4 4 4 4 4	Greeley-8
3 3 1 3 1 3 1 3 1 3 1 3 1 3 1	Greeley-15
5 5 5 5 5 6	Hemithirds-6, Roulette-6
5 5 5 5 5 5 1	Hemithirds-7, Roulette-7
4 1 4 1 4 1 4 1 4 1 4 1 1	Hemithirds-13, Roulette-13
5 3 3 3 5 3 3 3 3	Joan-9
2 3 3 3 3 2 3 3 3 3 3	Joan-11, Score-11
3 2 3 2 3 2 3 3 3 1 3 3	Marvel-12
1 4 4 1 4 4 1 4 4 4	Migration-10
3 3 3 3 3 3 3 3 3 4	Miracle-10
3 3 3 3 3 3 3 3 3 1 2 1	Miracle-12
7 1 7 1 7 1 7	Myna-7
1 6 1 1 6 1 6 1 1 6 1	Myna-11
1 1 5 1 1 1 5 1 1 1 5 1 1 5 1	Myna-15
7 7 7 7 3	Orwell-5
4 3 4 3 4 3 4 3 3	Orwell-9
1 3 3 1 3 3 1 3 3 1 3 3 3	Orwell-13
8 3 3 8 3 3 3	Score-7
3 5 3 3 3 5 3 3 3	Score-9
2 7 2 7 2 2 7 2	Sentinel-8
2 5 2 2 5 2 2 2 5 2 2	Secor Sentinel-11
2 3 2 2 2 3 2 2 2 2 3 2 2 2	Sentinel-14
3 2 3 2 2 3 2 3 2 2 3 2 2	Semisept-13
6 6 6 7 6	Slendric-5
5 1 5 1 5 1 5 1 1 5 1	Slendric-11
5 2 2 5 2 2 2 5 2 2 2	Squares-11
3 2 2 2 3 2 2 2 2 3 2 2 2 2	Squares-14
2 4 2 2 3 3 2 3 2 3 3 2	Starling-12
2 2 2 2 2 2 2 2 2 2 2 3 2 2 2	Tertiaseptal-15, Valentine-15
7 6 6 6 6	Wonder-5
5 1 1 5 1 5 1 5 1 5 1	Wonder-11
7 1 1 1 7 1 1 1 7 1 1 1 1	Wurschmidt-13
32 tone equal modes:
6 4 3 6 4 6 3	Thirty-two tone "Major"
6 3 4 6 3 6 4	Thirty-two tone "Minor"
7 6 6 7 6	Septimal Minor Pentatonic
5 3 5 3 5 3 5 3	Diminished
3 5 3 5 3 5 3 5	Octatonic
4 5 5 4 5 4 5	Dicot-7
3 3 2 3 3 2 3 3 2 3 3 2	Diminished-12
5 5 5 5 2 5 5	Glacial-7
3 2 3 2 3 2 3 2 2 3 2 3 2	Glacial-13
4 1 4 1 4 4 1 4 4 1 4	Mohavila-11
3 3 3 1 3 3 3 3 3 1 3 3	Pajaro-12
2 3 2 2 2 2 2 2 2 3 2 2 2 2 2	Progress-15
5 5 4 5 4 5 4	Sixix-7
3 4 3 4 3 4 3 4 4	Superpelog-9
3 3 1 3 3 1 3 3 1 3 3 1 3 1	Superpelog-14
33 tone equal modes:
5 3 3 5 3 3 5 3 3	August-9
2 3 3 3 2 3 3 3 2 3 3 3	August-12
5 5 5 5 3 5 5	Bluebirds-7
2 3 2 3 2 3 2 3 3 2 3 2 3	Bluebirds-13
5 7 7 7 7	Godzilla-5
5 5 2 5 2 5 2 5 2	Godzilla-9
3 2 3 2 2 3 2 2 3 2 2 3 2 2	Godzilla-14
5 2 2 2 5 2 2 2 5 2 2 2	Inflated-12
2 3 2 2 2 2 3 2 2 2 2 3 2 2 2	Inflated-15
1 5 5 1 5 5 1 5 5	Terrain-9
1 4 1 4 1 1 4 1 4 1 1 4 1 4 1	Terrain-15
5 5 1 5 5 1 5 5 1	Shallert's mode, Terrain-9 inverse
5 2 2 2 2 2 2 2 2 2 2 2 2 2 2	Slurpee-15
34 tone equal modes:
3 3 3 2 3 3 3 3 2 3 3 3	"Just" Chromatic
6 5 3 6 5 6 3	Thirty-four tone "Just" Major
6 3 5 6 3 5 6	Thirty-four tone "Just" Minor
6 3 5 6 3 6 5	Thirty-four tone Natural Minor
6 3 5 6 5 6 3	Thirty-four tone Melodic Minor
6 3 5 6 3 8 3	Thirty-four tone Harmonic Minor
6 5 3 6 3 8 3	Thirty-four tone Harmonic Major
3 6 2 3 6 3 2 6 3	Genus chromaticum
7 7 6 7 7	Quasi-equal Pentatonic
3 3 4 3 4 3 3 4 3 4	Anguirus-10
3 1 3 3 1 3 3 3 1 3 3 1 3 3	Anguirus-14
3 4 3 4 3 3 4 3 4 3	Decimal-10
3 3 1 3 3 3 1 3 3 1 3 3 3 1	Decimal-14
3 3 3 5 3 3 3 3 5 3	Diaschismic-10, Pajara-10
3 3 3 2 3 3 3 3 3 2 3 3	Diaschismic-12, Pajara-12
6 7 7 7 7	Immunity-5
6 6 1 6 1 6 1 6 1	Immunity-9
3 3 2 3 3 3 3 3 2 3 3 3	Jubilee-12
2 7 2 7 2 7 7	Kleismic-7
2 2 5 2 5 2 2 5 2 2 5	Kleismic-11
2 2 2 3 2 2 2 3 2 2 2 3 2 2 3	Kleismic-15
4 4 3 4 4 4 4 3 4	Mabila-9
3 3 3 1 3 3 3 3 3 3 3 3	Ripple-12
2 5 2 2 3 4 2 3 2 4 3 2	Starling-12
5 5 5 5 5 5 4	Tetracot-7
1 4 1 4 1 4 1 4 4 1 4 1 4	Tetracot-13
5 2 2 2 2 2 2 5 2 2 2 2 2 2	Vishnu-14
2 5 2 5 2 2 5 2 2 5 2	Wilson 11-tone
8 1 1 1 8 1 1 1 8 1 1 1 1	Wurschmidt-13
5 3 3 3 5 3 3 3 3 3	Pentachordal Decatonic
35 tone equal modes:
3 4 3 4 3 4 3 4 3 4	Blacksmith-10
3 1 3 3 1 3 3 1 3 3 1 3 3 1 3	Blacksmith-15
9 2 9 2 2 9 2	Magic-7
7 2 2 2 7 2 2 7 2 2	Magic-10
5 2 2 2 5 2 2 2 5 2 2 2 2	Magic-13
2 2 5 2 2 2 5 2 2 2 2 5 2	Muggles-13
4 4 4 4 4 4 4 4 3	Progression-9
3 3 3 2 3 3 3 3 3 3 3 3	Ripple-12
3 2 3 2 3 2 3 2 3 2 3 2 3 2	Septimal-14
3 3 3 3 3 3 3 3 2 3 3 3	Twelve-35-12
1 4 1 4 1 4 1 4 1 4 1 4 1 4	Whitewood-14
36 tone equal modes:
5 10 6 5 10	Nam Hue: Vietnam
1 1 13 1 1 13 6	Hyperenharmonic Mixolydian
1 13 1 1 13 6 1	Hyperenharmonic Lydian
13 1 1 13 6 1 1	Hyperenharmonic Phrygian
1 1 13 6 1 1 13	Hyperenharmonic Dorian
1 13 6 1 1 13 1	Hyperenharmonic Hypolydian
13 6 1 1 13 1 1	Hyperenharmonic Hypophrygian
6 1 1 13 1 1 13	Hyperenharmonic Hypodorian
2 2 11 2 2 11 6	Soft Chromatic Mixolydian
2 11 2 2 11 6 2	Soft Chromatic Lydian
11 2 2 11 6 2 2	Soft Chromatic Phrygian
2 2 11 6 2 2 11	Soft Chromatic Dorian
2 11 6 2 2 11 2	Soft Chromatic Hypolydian
11 6 2 2 11 2 2	Soft Chromatic Hypophrygian
6 2 2 11 2 2 11	Soft Chromatic Hypodorian
2 4 9 2 4 9 6	Ratio 1:2 Chromatic Mixolydian
4 9 2 4 9 6 2	Ratio 1:2 Chromatic Lydian
9 2 4 9 6 2 4	Ratio 1:2 Chromatic Phrygian
2 4 9 6 2 4 9	Ratio 1:2 Chromatic Dorian
4 9 6 2 4 9 2	Ratio 1:2 Chromatic Hypolydian
9 6 2 4 9 2 4	Ratio 1:2 Chromatic Hypophrygian
6 2 4 9 2 4 9	Ratio 1:2 Chromatic Hypodorian
5 5 5 5 5 5 6	Equal Diatonic Mixolydian
5 5 5 5 5 6 5	Equal Diatonic Lydian
5 5 5 5 6 5 5	Equal Diatonic Phrygian
5 5 5 6 5 5 5	Equal Diatonic Dorian
5 5 6 5 5 5 5	Equal Diatonic Hypolydian
5 6 5 5 5 5 5	Equal Diatonic Hypophrygian
6 5 5 5 5 5 5	Equal Diatonic Hypodorian
2 7 6 2 7 6 6	Diatonic + Soft Chromatic Diesis Mixolydian
7 6 2 7 6 6 2	Diatonic + Soft Chromatic Diesis Lydian
6 2 7 6 6 2 7	Diatonic + Soft Chromatic Diesis Phrygian
2 7 6 6 2 7 6	Diatonic + Soft Chromatic Diesis Dorian
7 6 6 2 7 6 2	Diatonic + Soft Chromatic Diesis Hypolydian
6 6 2 7 6 2 7	Diatonic + Soft Chromatic Diesis Hypophrygian
6 2 7 6 2 7 6	Diatonic + Soft Chromatic Diesis Hypodorian
4 7 4 6 4 7 4	Savas Soft Chromatic 2nd Byzantine mode
4 6 5 6 4 6 5	Savas Diatonic Byzantine Liturgical mode
4 8 3 6 4 8 3	Savas Enharmonic Byzantine Liturgical mode
3 10 2 6 3 10 2	Hard Chromatic 2nd plagal Byzantine mode
5 4 6 6 5 4 6	First plagal Byzantine Liturgical mode ascending
5 4 6 6 3 6 6	First plagal Byzantine Liturgical mode descending
6 5 4 6 6 5 4	Fourth plagal Byzantine Liturgical mode
5 7 5 7 5 7	Augment-6
5 2 5 5 2 5 5 2 5	Augment-9
2 3 2 3 2 2 3 2 3 2 2 3 2 3 2	Augment-15
3 4 4 3 4 3 4 4 3 4	Echidnic-10
3 5 3 3 5 3 3 5 3 3	Golden-10
3 3 2 3 3 3 2 3 3 3 2 3 3	Golden-13
3 5 5 5 3 5 5 5	Hedgehog-8
3 2 3 3 2 3 2 3 2 3 3 2 3 2	Hedgehog-14
7 7 8 7 7	Quasi-equal Pentatonic
7 7 7 8 7	Slendric-5
6 1 6 1 6 1 6 1 1 6 1	Slendric-11
3 2 2 3 2 3 2 2 3 2 3 2 2 3 2	Ternary-15
3 3 2 3 2 3 2 3 3 2 3 2 3 2	Urchin-14
8 7 7 7 7	Wonder-5
6 1 1 6 1 6 1 6 1 6 1	Wonder-11
4 5 4 5 4 5 4 5	Quasi-equal Octatonic
3 4 4 3 4 4 3 3 4 4	Bohlen 833 cents Golden scale
Persian modes as 36 tone equal modes:
4 5 6 4 2 3 1 5 6	Dastgah-e Shur
4 5 6 6 3 1 5 6	Dastgah-e Abuata
3 1 5 6 4 2 3 1 5 6	Dastgah-e Dashti
3 3 6 3 6 6 4 5	Dastgah-e Bayat-e Tork
6 4 5 6 4 2 3 1 5	Dastgah-e Afshari
5 6 4 5 1 5 6 4	Dastgah-e Segah
4 8 3 6 4 8 3	Dastgah-e Chahargah
4 8 3 6 3 1 5 6	Dastgah-e Homayun
6 3 6 6 4 6 5	Dastgah-e Bayat-e Esfahan
6 3 6 6 4 5 6	Dastgah-e Nava
6 6 3 6 6 3 3 3	Dastgah-e Mahur, Rast (Rast Panjgah)
37 tone equal modes:
5 5 5 7 5 5 5	Miller's Porcupine-7
5 7 5 5 5 5 5	Miller's Porcupine-7 Major
5 5 5 5 5 5 5 2	Miller's Porcupine-8
3 2 3 2 2 3 2 3 2 3 2 3 2 3 2	Porcupine-15
2 2 2 7 2 2 2 7 2 2 7	Bossier-11
2 2 2 5 2 2 2 2 5 2 2 2 5 2	Bossier-14
7 4 4 7 4 7 4	Dichotic-7
3 4 4 4 3 4 4 3 4 4	Dichotic-10
5 3 3 3 3 5 3 3 3 3 3	Freivald-11
2 3 3 3 3 3 2 3 3 3 3 3 3	Freivald-13
7 7 7 7 7 2	Gorgo-6
2 7 7 5 2 7 7	Gorgo-Pelog
2 5 2 5 2 5 2 5 2 5 2	Gorgo-11
3 7 7 3 7 3 7	Orgone-7
3 3 4 3 4 3 3 4 3 3 4	Orgone-11
3 3 3 3 5 3 3 3 3 3 5	Parizek-11
3 3 3 3 3 2 3 3 3 3 3 3 2	Parizek-13
3 3 3 3 3 3 4 3 3 3 3 3	Passion-12
6 6 6 6 6 7	Roulette-6
6 6 6 6 6 6 1	Roulette-7
5 1 5 1 5 1 5 1 5 1 5 1 1	Roulette-13
7 4 7 4 7 4 4	Sharp-7
3 4 4 3 4 4 3 4 4 4	Sharp-10
4 4 4 3 4 4 3 4 4 3	Silver-10
5 2 5 2 5 2 5 2 2 5 2	Spartan-11
3 5 8 5 3 5 8	Superpelog-Pelog
3 5 3 5 3 5 3 5 5	Superpelog-9
3 3 2 3 3 2 3 3 2 3 3 2 3 2	Superpelog-14
5 4 5 4 5 5 4 5	Tridec-8
4 4 4 4 4 4 4 4 5	Twothirdtonic-9
5 3 1 5 5 3 1 5 3 1 5	Clanghats
1 8 3 1 8 3 1 8 3 1	Diamond Gate
2 5 2 5 1 2 5 2 5 2 5 1	Escapescapes
7 5 5 5 5 4 6	Otonal Major
38 tone equal modes:
7 5 7 7 5 7	Astrology-6
5 2 5 5 2 5 2 5 5 2	Astrology-10
3 5 3 5 3 3 5 3 5 3	Decimal-10
3 3 2 3 3 3 2 3 3 2 3 3 3 2	Decimal-14
3 3 3 3 3 4 3 3 3 3 3 4	Injera-12
3 3 3 3 3 3 1 3 3 3 3 3 3 1	Injera-14
6 5 6 5 6 5 5	Ptolemy-7
2 2 5 2 2 5 2 2 5 2 2 2 5	Subklei-13
4 4 7 4 4 4 7 4	Supersharp-8
4 4 4 3 4 4 4 4 3 4	Supersharp-10
39 tone equal modes:
5 2 2 5 2 5 2 5 2 2 5 2	Twelve-tone Chromatic (1/4-comma positive)
6 5 6 5 6 6 5	Amity-7
5 7 5 5 5 7 5	Armodue-7
5 5 5 2 5 5 5 5 2	Armodue-9
10 3 10 3 10 3	Augmented-6
3 7 3 3 7 3 3 7 3	Augmented-9
3 3 4 3 3 3 4 3 3 3 4 3	Augmented-12
3 3 1 3 3 3 3 1 3 3 3 3 1 3 3	Augmented-15
5 6 6 5 6 5 6	Dicot-7
7 8 8 8 8	Immunity-5
7 7 1 7 1 7 1 7 1	Immunity-9
7 7 4 7 7 7	Machine-6
3 4 3 4 3 4 3 4 3 4 4	Machine-11
5 7 5 5 7 5 5	Mavila-7
5 2 5 5 5 2 5 5 5	Mavila-9
5 1 5 1 5 5 1 5 5 1 5	Mohavila-11
4 4 4 4 7 4 4 4 4	Negri-9
4 4 4 4 4 4 4 4 4 3	Negri-10
8 8 7 8 8	Quasi-equal Pentatonic
2 2 5 2 5 2 5 2 2 5 2 5	Quasisuper-12
9 7 7 9 7	Supra-5
7 2 7 7 7 2 7	Supra-7
2 5 2 5 2 2 5 2 5 2 5 2	Supra-12
5 5 3 5 5 3 5 5 3	Triforce-9
2 3 2 3 3 2 3 2 3 3 2 3 2 3 3	Triforce-15
40 tone equal modes:
4 5 13 4 14	Surupan Melog jawar: Java
5 4 14 4 13	Surupan Miring: Java
5 4 13 5 13	Surupan Ajeng: Java
7 3 7 3 7 3 7 3	Diminished
3 7 3 7 3 7 3 7	Octatonic
5 3 5 3 5 3 5 3 5 3	Archytas Clan-10
2 3 3 2 3 3 2 3 3 2 3 3 2 3 3	Archytas Clan-15
3 5 3 5 3 5 3 5 3 5	Blacksmith-10
3 2 3 3 2 3 3 2 3 3 2 3 3 2 3	Blacksmith-15
3 3 4 3 3 4 3 3 4 3 3 4	Diminished-12, Demolished-12
2 2 5 2 2 2 5 2 2 5 2 2 2 5	Fleetwood-14
3 3 3 3 3 5 3 3 3 3 3 5	Injera-12
3 3 3 3 3 3 2 3 3 3 3 3 3 2	Injera-14
4 1 4 4 1 4 4 1 4 4 4 1 4	Laz-13
41 tone equal modes:
4 3 3 4 3 4 3 4 3 3 4 3	Twelve-tone Chromatic (1/44-comma positive)
4 3 4 2 4 3 4 4 2 4 3 4	"Just" Chromatic
7 7 3 7 7 7 3	Forty-one tone Major
7 3 7 7 3 7 7	Forty-one tone Minor
7 6 4 7 6 7 4	Forty-one tone "Just" Major
7 4 6 7 4 7 6	Forty-one tone "Just" Minor
7 4 6 7 4 6 7	Forty-one tone Natural Minor
7 4 6 7 6 7 4	Forty-one tone Melodic Minor
7 4 6 7 4 9 4	Forty-one tone Harmonic Minor
7 6 4 7 4 9 4	Forty-one tone Harmonic Major
5 5 5 3 5 5 5 5 3	Armodue-9
2 5 5 5 2 5 5 2 5 5	Beatles-10
2 5 5 2 5 5 2 5 5 5	Hemififths-10
5 5 3 5 5 5 5 3 5	Mabila-9
11 2 11 2 13 2	Magic-6
11 2 11 2 2 11 2	Magic-7
9 2 2 2 9 2 2 9 2 2	Magic-10
7 2 2 2 7 2 2 2 7 2 2 2 2	Magic-13
5 7 5 7 5 7 5	Maqamic-7
5 2 5 5 2 5 5 5 2 5	Maqamic-10
4 3 4 2 4 3 4 4 4 1 4 4	Marvel-12
5 8 5 5 8 5 5	Mavila-7
5 3 5 5 5 3 5 5 5	Mavila-9
4 4 7 4 4 7 4 7	Mechanism-8
4 3 4 4 4 3 4 4 4 3 4	Mechanism-11
4 4 4 4 4 4 4 4 4 5	Miracle-10
4 4 4 4 4 4 4 4 4 1 3 1	Miracle-12
7 5 7 5 7 5 5	Mohajira-7
2 5 5 2 5 5 5 2 5 5	Mohajira-10
3 3 3 3 3 3 3 3 3 3 3 3 3 2	Octacot-14
8 3 8 3 8 3 8	Superkleismic-7
3 5 3 5 3 3 5 3 3 5 3	Superkleismic-11
2 3 3 3 2 3 3 3 2 3 3 3 2 3 3	Superkleismic-15
3 4 3 3 4 3 4 3 3 4 3 4	Schismic-12
4 5 4 5 4 5 4 5 5	Septimin-9
4 4 1 4 4 1 4 4 1 4 4 1 4 1	Septimin-14
4 3 4 4 4 3 4 4 3 4 4	Stacks-11
8 8 8 9 8	Rodan-5
7 1 7 1 7 1 7 1 1 7 1	Rodan-11
6 6 6 6 6 6 5	Tetracot-7
1 5 1 5 1 5 1 5 5 1 5 1 5	Tetracot-13
11 11 11 8	Magical Seventh
8 8 9 8 8	Quasi-equal Pentatonic
3 3 5 3 3 3 4 3 3 5 3 3	Nakika
42 tone equal modes:
3 8 3 3 8 3 3 8 3	Augene-9
3 3 5 3 3 3 5 3 3 3 5 3	Augene-12
3 3 3 2 3 3 3 3 2 3 3 3 3 2 3	Augene-15
4 3 3 3 3 4 3 3 3 4 3 3 3	Balzano-13
4 3 4 3 4 3 4 3 4 3 4 3	Hexe-12
7 4 4 4 7 4 4 4 4	Joan-9
3 4 4 4 4 3 4 4 4 4 4	Joan-11
8 5 8 8 5 8	Lemba-6
5 3 5 3 5 5 3 5 3 5	Lemba-10
4 4 4 1 4 4 4 4 4 1 4 4	Pajaro-12
43 tone equal modes:
3 4 4 3 4 3 4 3 4 4 3 4	Meantone Chromatic (1/5-comma)
4 3 4 3 4 3 4 4 3 4 3 4	Genus diatonico-chromaticum
7 7 4 7 7 7 4	Forty-three tone Major
7 4 7 7 4 7 7	Forty-three tone Natural Minor
7 4 7 7 7 7 4	Forty-three tone Melodic Minor
7 4 7 7 4 10 4	Forty-three tone Harmonic Minor
7 7 4 7 4 10 4	Forty-three tone Harmonic Major
3 3 12 3 3 12 7	Parachromatic Mixolydian
3 12 3 3 12 7 3	Parachromatic Lydian
12 3 3 12 7 3 3	Parachromatic Phrygian
3 3 12 7 3 3 12	Parachromatic Dorian
3 12 7 3 3 12 3	Parachromatic Hypolydian
12 7 3 3 12 3 3	Parachromatic Hypophrygian
7 3 3 12 3 3 12	Parachromatic Hypodorian
3 6 9 3 6 9 7	Soft Diatonic Mixolydian
6 9 3 6 9 7 3	Soft Diatonic Lydian
9 3 6 9 7 3 6	Soft Diatonic Phrygian
3 6 9 7 3 6 9	Soft Diatonic Dorian
6 9 7 3 6 9 3	Soft Diatonic Hypolydian
9 7 3 6 9 3 6	Soft Diatonic Hypophrygian
7 3 6 9 3 6 9	Soft Diatonic Hypodorian
5 7 7 5 7 5 7	Dicot-7
7 9 9 9 9	Godzilla-5
7 7 2 7 2 7 2 7 2	Godzilla-9
5 2 5 2 2 5 2 2 5 2 2 5 2 2	Godzilla-14
5 5 5 5 5 5 5 5 3	Jerome-9, Progression-9
3 3 5 3 5 3 5 3 5 3 5	Kumonga-11
5 5 4 5 5 5 5 4 5	Mabila-9
3 3 3 4 3 3 3 3 3 3 3 3 3 3	Nautilus-14
5 4 4 5 4 4 5 4 4 4	Submajor-10
5 3 3 3 3 3 5 3 3 3 3 3 3	Thuja-13
2 3 3 3 3 3 3 2 3 3 3 3 3 3 3	Thuja-15
44 tone equal modes:
3 8 3 8 3 8 3 8	Octatonic
8 3 8 3 8 3 8 3	Diminished
5 6 5 6 5 6 5 6	Quasi-equal Octatonic
8 5 5 8 5 8 5	Beatles-7, Dichotic-7
3 5 5 5 3 5 5 3 5 5	Beatles-10, Dichotic-10
3 3 3 4 3 3 3 3 3 3 4 3 3 3	Bipelog-14
2 7 2 2 7 2 2 7 2 2 7 2	Blackbirds-12
4 9 9 4 9 9	Decibel-6
3 3 5 3 3 5 3 3 5 3 3 5	Demolished-12
4 4 3 4 4 3 4 4 3 4 4 3	Diminished-12
3 3 3 5 3 3 3 3 3 3 3 3 3 3	Nautilus-14
5 5 5 5 5 5 5 5 4	Progression-9
4 3 4 3 3 4 3 4 3 3 4 3 3	Semisept-13
7 7 7 7 7 7 2	Spell-7
5 2 5 2 5 2 5 2 5 2 5 2 2	Spell-13
6 2 7 5 4 5 7 2 6	Lampooning Rushes
45 tone equal modes:
2 5 5 2 5 2 5 2 5 5 2 5	Meantone Chromatic (2/5-comma)
7 7 5 7 7 7 5	Forty-five tone Major
7 5 7 7 5 7 7	Forty-five tone Minor
7 4 4 7 4 4 7 4 4	August-9
3 4 4 4 3 4 4 4 3 4 4 4	August-12
4 5 4 5 4 5 4 5 4 5	Ferrum-10
2 5 5 2 5 2 5 5 2 5 2 5	Flattone-12
7 7 7 7 3 7 7	Glacial-7
4 3 4 3 4 3 4 3 3 4 3 4 3	Glacial-13
8 8 5 8 8 8	Machine-6
3 5 3 5 3 5 3 5 3 5 5	Machine-11
7 6 7 6 7 6 6	Ptolemy-7
4 4 4 1 4 4 4 4 4 4 4 4	Ripple-12
7 3 3 7 3 3 3 7 3 3 3	Squares-11
4 3 3 3 4 3 3 3 3 4 3 3 3 3	Squares-14
46 tone equal modes:
5 3 3 5 3 5 3 5 3 3 5 3	Twelve-tone Chromatic (1/9-comma positive)
4 4 4 3 4 4 4 4 3 4 4 4	"Just" Chromatic
8 7 4 8 7 8 4	Forty-six tone "Just" Major
8 4 7 8 4 7 8	Forty-six tone "Just" Minor
8 4 7 8 4 8 7	Forty-six tone Natural Minor
8 4 7 8 7 8 4	Forty-six tone Melodic Minor
8 4 7 8 4 11 4	Forty-six tone Harmonic Minor
8 7 4 8 4 11 4	Forty-six tone Harmonic Major
8 6 5 8 6 5 8	Rast
8 6 5 8 8 6 5	Arabic Diatonic
7 6 7 6 7 7 6	Amity-7
3 3 3 5 3 3 3 3 3 3 5 3 3 3	Bipelog-14
7 7 7 7 4 7 7	Bluebirds-7
3 4 3 4 3 4 3 4 4 3 4 3 4	Bluebirds-13
4 4 4 7 4 4 4 4 7 4	Diaschismic-10, Pajara-10
4 4 4 3 4 4 4 4 4 3 4 4	Diaschismic-12, Pajara-12
4 5 5 4 5 4 5 5 4 5	Echidnic-10
4 3 3 4 3 3 3 4 3 3 4 3 3 3	Hemiamity-14
5 5 5 8 5 5 5 8	Octokaidecal-8
5 5 5 5 3 5 5 5 5 3	Octokaidecal-10
5 5 5 2 3 2 5 5 5 4 1 4	Plum
9 9 9 10 9	Rodan-5
8 1 8 1 8 1 8 1 1 8 1	Rodan-11
3 5 3 3 5 3 5 3 3 5 3 5	Schism-12
5 5 7 5 5 7 5 7	Sensi-8
5 5 5 2 5 5 5 2 5 5 2	Sensi-11
3 6 3 3 4 5 3 4 3 5 4 3	Starling-12
5 5 5 5 5 5 5 5 6	Twothirdtonic-9
3 3 3 3 3 3 3 3 3 3 3 4 3 3 3	Valentine-15
7 4 4 4 7 4 4 4 4 4	Pentachordal Decatonic
3 9 3 9 3 7 5 7	Smith's Star
5 7 3 9 3 7 5 7	Smith's Nova
4 4 7 4 4 4 4 7 4 4	Symmetrical Decatonic
47 tone equal modes:
8 7 8 8 8 8	Baldy-6
7 1 7 1 7 1 7 7 1 7 1	Baldy-11
7 3 3 3 3 3 7 3 3 3 3 3 3	Kangaroo-13
5 5 5 5 7 5 5 5 5	Negri-9
5 5 5 5 5 5 5 5 5 2	Negri-10
3 4 3 3 3 3 3 3 3 4 3 3 3 3 3	Progress-15
5 3 3 5 3 3 5 3 3 5 3 3 3	Ragimetric-13
4 4 4 3 4 4 4 4 4 4 4 4	Ripple-12
9 5 9 5 9 5 5	Sharp-7
4 5 5 5 4 5 5 4 5 5	Sharp-10
5 5 5 4 5 5 4 5 5 4	Silver-10
7 2 7 2 7 2 7 2 2 7 2	Spartan-11
5 5 3 5 5 3 5 5 3 5 3	Wilson Golden-11
48 tone equal modes:
3 3 14 3 3 14 8	Hemiolic Chromatic Mixolydian
3 14 3 3 14 8 3	Hemiolic Chromatic Lydian
14 3 3 14 8 3 3	Hemiolic Chromatic Phrygian
3 3 14 8 3 3 14	Hemiolic Chromatic Dorian
3 14 8 3 3 14 3	Hemiolic Chromatic Hypolydian
14 8 3 3 14 3 3	Hemiolic Chromatic Hypophrygian
8 3 3 14 3 3 14	Hemiolic Chromatic Hypodorian
5 5 10 5 5 10 8	Soft Diatonic Mixolydian
5 10 5 5 10 8 5	Soft Diatonic Lydian
10 5 5 10 8 5 5	Soft Diatonic Phrygian
5 5 10 8 5 5 10	Soft Diatonic Dorian
5 10 8 5 5 10 5	Soft Diatonic Hypolydian
10 8 5 5 10 5 5	Soft Diatonic Hypophrygian
8 5 5 10 5 5 10	Soft Diatonic Hypodorian
3 9 8 3 9 8 8	Diatonic + Hemiolic Chromatic Diesis Mixolydian
9 8 3 9 8 8 3	Diatonic + Hemiolic Chromatic Diesis Lydian
8 3 9 8 8 3 9	Diatonic + Hemiolic Chromatic Diesis Phrygian
3 9 8 8 3 9 8	Diatonic + Hemiolic Chromatic Diesis Dorian
9 8 8 3 9 8 3	Diatonic + Hemiolic Chromatic Diesis Hypolydian
8 8 3 9 8 3 9	Diatonic + Hemiolic Chromatic Diesis Hypophrygian
8 3 9 8 3 9 8	Diatonic + Hemiolic Chromatic Diesis Hypodorian
3 3 6 8 8 3 3 6 8	Hemiolic Chromatic and Diatonic Dorian mixed
5 7 5 7 5 7 5 7	Octatonic
3 10 3 3 10 3 3 10 3	Augene-9
3 3 7 3 3 3 7 3 3 3 7 3	Augene-12
3 3 3 4 3 3 3 3 4 3 3 3 3 4 3	Augene-15
2 9 2 9 2 2 9 2 9 2	Doublewide-10
2 2 7 2 2 7 2 2 2 7 2 2 7 2	Doublewide-14
5 3 5 3 5 3 5 3 5 3 5 3	Hexe-12
7 3 3 3 7 3 3 3 7 3 3 3	Inflated-12
3 4 3 3 3 3 4 3 3 3 3 4 3 3 3	Inflated-15
5 5 5 5 8 5 5 5 5	Negri-9, Quasi-Equal Enneatonic
5 5 5 5 5 5 5 5 5 3	Negri-10
7 7 2 7 7 2 7 7 2	Oodako-9
3 5 3 3 3 5 3 3 3 3 5 3 3 3	Sentinel-14
8 3 3 8 3 3 3 8 3 3 3	Squares-11
5 3 3 3 5 3 3 3 3 5 3 3 3 3	Squares-14
5 5 5 3 5 5 5 5 5 5	Keenan Decatonic
5 5 5 5 5 3 5 5 5 5	Lumma Decatonic
49 tone equal modes:
5 1 5 5 1 5 5 1 5 5 5 1 5	Laz-13
3 10 3 10 3 10 10	Kleismic-7
3 3 7 3 7 3 3 7 3 3 7	Kleismic-11
4 4 4 4 4 4 5 4 4 4 4 4	Passion-12
5 3 5 3 3 5 3 5 3 3 5 3 3	Semisept-13
4 3 4 3 4 3 4 3 4 3 4 3 4 3	Septimal-14
2 7 2 2 7 2 7 2 2 7 2 7	Superpyth-12
11 9 9 11 9	Supra-5
9 2 9 9 9 2 9	Supra-7
2 7 2 7 2 2 7 2 7 2 7 2	Supra-12
2 5 2 5 2 5 2 5 2 5 2 5 2 5	Whitewood-14
50 tone equal modes:
3 5 5 3 5 3 5 3 5 5 3 5	Meantone Chromatic (5/18-comma), Eair-12
8 8 5 8 8 8 5	Fifty tone Major
8 5 8 8 5 8 8	Fifty tone Natural Minor
8 5 8 8 8 8 5	Fifty tone Melodic Minor
8 5 8 8 5 11 5	Fifty tone Harmonic Minor
8 8 5 8 5 11 5	Fifty tone Harmonic Major
8 5 8 5 8 3 8 5	Diminished, Modus conjunctus
8 8 9 9 8 8	Taylor Whole-Tone
9 7 9 9 7 9	Astrology-6
7 2 7 7 2 7 2 7 7 2	Astrology-10
4 4 4 4 7 4 4 4 4 4 7	Parizek-11
4 4 4 4 4 3 4 4 4 4 4 4 3	Parizek-13
4 4 4 4 4 5 4 4 4 4 4 5	Injera-12
4 4 4 4 4 4 1 4 4 4 4 4 4 1	Injera-14
9 9 5 9 9 9	Machine-6
4 5 4 5 4 5 4 5 4 5 5	Machine-11
5 6 5 6 5 6 5 6 6	Septimin-9
5 5 1 5 5 1 5 5 1 5 5 1 5 1	Septimin-14
8 3 3 3 3 3 3 3 3 3 3 3 3 3 3	Slurpee-15
3 7 3 7 3 7 3 7 3 7	Trisedodge-10
3 3 4 3 3 4 3 3 4 3 3 4 3 3 4	Trisedodge-15
4 4 3 4 3 4 3 4 4 3 4 3 4 3	Urchin-14
7 3 3 3 3 3 3 7 3 3 3 3 3 3	Vishnu-14
3 5 5 3 5 3 5 5 3 3 7 3	Wreckmeister
51 tone equal modes:
13 4 13 4 13 4	Augmented-6
4 9 4 4 9 4 4 9 4	Augmented-9
4 4 5 4 4 4 5 4 4 4 5 4	Augmented-12
4 4 1 4 4 4 4 1 4 4 4 4 1 4 4	Augmented-15
5 7 5 5 7 5 5 7 5	Deflated-9
8 8 8 8 3 8 8	Glacial-7
5 3 5 3 5 3 5 3 3 5 3 5 3	Glacial-13
11 2 2 2 11 2 2 2 11 2 2 2	Hemiaug-12
7 7 7 9 7 7 7	Miller's Porcupine-7
7 9 7 7 7 7 7	Miller's Porcupine-7 Major
7 7 7 7 7 7 7 2	Miller's Porcupine-8
5 2 5 2 2 5 2 5 2 5 2 5 2 5 2	Porcupine-15
5 5 5 5 5 5 5 5 5 6	Miracle-10
5 5 5 5 5 5 5 5 5 1 4 1	Miracle-12
13 5 5 13 5 5 5	Score-7
5 8 5 5 5 8 5 5 5	Score-9
3 5 5 5 5 3 5 5 5 5 5	Score-11
4 7 4 7 4 7 4 7 7	Superpelog-9
4 4 3 4 4 3 4 4 3 4 4 3 4 3	Superpelog-14
52 tone equal modes:
9 4 9 4 9 4 9 4	Diminished
4 9 4 9 4 9 4 9	Octatonic
6 7 6 7 6 7 6 7	Quasi-equal Octatonic
5 5 5 5 5 5 5 7 5 5	Apparatus-10
5 5 5 5 5 5 5 5 2 5 5	Apparatus-11
4 7 4 7 4 4 7 4 7 4	Decimal-10
4 4 3 4 4 4 3 4 4 3 4 4 4 3	Decimal-14
4 4 5 4 4 5 4 4 5 4 4 5	Demolished-12
8 11 11 11 11	Godzilla-5
8 8 3 8 3 8 3 8 3	Godzilla-9
5 3 5 3 3 5 3 3 5 3 3 5 3 3	Godzilla-14
5 7 7 7 5 7 7 7	Hedgehog-8
5 2 5 5 2 5 2 5 2 5 5 2 5 2	Hedgehog-14
5 5 9 5 5 9 5 9	Mechanism-8
5 4 5 5 5 4 5 5 5 4 5	Mechanism-11
53 tone equal modes:
5 4 5 3 5 4 5 5 3 5 4 5	"Just" Chromatic
5 4 4 5 4 5 4 5 4 4 5 4	Meantone Chromatic (1/315-comma)
9 8 5 9 8 9 5	Fifty-three tone "Just" Major
9 5 8 9 5 9 8	Fifty-three tone "Just" Minor
9 5 8 9 5 8 9	Fifty-three tone Natural Minor
9 5 8 9 8 9 5	Fifty-three tone Melodic Minor
9 5 8 9 5 12 5	Fifty-three tone Harmonic Minor
9 8 5 9 5 12 5	Fifty-three tone Harmonic Major
5 4 5 3 5 4 5 5 3 6 3 5	Genus diatonico-chromaticum
8 7 8 7 8 8 7	Amity-7
10 10 10 10 10 3	Gorgo-6
3 10 10 7 3 10 10	Gorgo-Pelog
3 7 3 7 3 7 3 7 3 7 3	Gorgo-11
3 4 3 4 3 4 3 4 3 4 3 4 3 4 4	Hemikleismic-15
3 11 3 11 3 11 11	Kleismic-7
3 3 8 3 8 3 3 8 3 3 8	Kleismic-11
3 3 3 5 3 3 3 5 3 3 3 5 3 3 5	Kleismic-15
5 4 5 3 5 4 5 5 5 2 5 5	Marvel-12
7 9 7 7 9 7 7	Mavila-7
7 2 7 7 7 2 7 7 7	Mavila-9
12 12 12 12 5	Orwell-5
7 5 7 5 7 5 7 5 5	Orwell-9
2 5 5 2 5 5 2 5 5 2 5 5 5	Orwell-13
6 6 6 6 6 6 6 6 5	Progression-9
4 5 4 4 5 4 5 4 4 5 4 5	Schismic-12
7 3 7 3 7 3 7 3 3 7 3	Spartan-11
6 5 5 6 5 5 6 5 5 5	Submajor-10
53 tone equal modes with Turkish makams:
9 8 5 9 9 4 4 5	Makam Rast
9 4 9 9 4 9 9	Makam Nihavend, Muberka, Fifty-three tone Minor
9 8 5 9 8 5 4 5	Makam Yegah
9 8 5 9 8 1 4 4 5	Makam Yegah
9 8 5 9 9 8 5	Makam Sazkar
9 4 9 9 4 9 4 5	Makam Sultaniyegah, Ruhnevaz, Ferahfeza (Farahfaza)
4 9 9 9 4 9 9	Makam Ferahnuma, Askefza, Acem Kurdi
5 12 5 9 5 8 4 5	Makam Sedaraban
8 5 9 8 5 9 9	Makam Huseyniasiran
5 12 5 9 4 4 5 4 5	Makam Suzidil
9 9 4 4 5 9 9 4	Makam Acemasiran
9 5 4 4 4 5 5 13 4	Makam Sevkefza
5 9 8 5 9 9 4 4	Makam Iraq
5 9 8 5 4 5 9 4 4	Makam Evic, Segah
5 9 8 1 4 4 5 9 4 4	Makam Ferahnak
5 13 4 9 5 13 4	Makam Evcara (Evicara)
9 9 4 9 9 4 5 4	Makam Mahur
9 5 4 4 4 5 9 4 5 4	Makam Suzidilara
9 9 4 4 5 9 4 4 5	Makam Buzurk
5 4 4 4 5 9 4 9 9	Makam Suzinak
5 12 5 5 4 4 4 5 9	Makam Zirguleli Suzinak
5 12 5 9 5 3 5 4 5	Makam Hicazkar
4 1 4 4 4 5 9 4 4 5 9	Makam Kurdilihicazkar
9 4 9 5 4 4 5 8 5	Makam Nihavend (Nihavent)
9 5 12 5 5 12 5	Makam Neveser
9 5 12 5 9 4 4 5	Makam Nikriz
8 5 9 9 4 4 5 9	Makam Huseyni, Muhayyer, Neva, Gerdaniye, Tahir
4 4 5 9 9 4 4 5 9	Makam Muhayyer Kurdi
8 1 4 9 9 8 5 4 5	Makam Tahir Buselik
8 5 9 5 4 4 4 5 9	Makam Gulizar, Beyati (Bayati), Karcigar
8 5 9 9 4 9 9	Makam Ussak, Acem, Arazbar
8 1 4 4 5 9 4 9 9	Makam Isfahan
4 4 1 4 9 4 5 4 9 9	Makam Kurdi
9 4 9 5 4 4 4 5 4 5	Makam Buselik (Puselik)
9 4 9 9 4 13 5	Makam Sehnaz Buselik
8 5 9 5 3 1 4 4 5 9	Makam Arazbar
5 12 5 9 4 4 5 9	Makam Hicaz, Uzzal, Humayun
5 12 5 9 4 1 8 4 5	Makam Zirgule (Zengule)
5 12 5 9 4 13 5	Makam Zirguleli Hicaz
5 12 5 9 4 1 3 5 4 5	Makam Sehnaz
8 5 5 13 4 9 9	Makam Saba, Sunbule
8 5 5 13 4 9 5 4	Makam Saba Zemzeme
8 5 5 13 4 4 5 5 4	Makam Kucek
8 5 5 4 9 4 4 5 4 5	Makam Eski Sipihr
4 4 5 4 1 13 4 9 9	Makam Dugah
8 5 9 4 5 4 1 8 4 5	Makam Hisar
4 9 4 5 8 1 4 9 4 5	Makam Hisar Buselik
5 3 5 4 5 4 5 4 1 3 5 4 5	Makam Yeni Sipihr
9 8 5 9 5 8 9	Makam Nisaburek
5 9 5 12 5 9 4 4	Makam Huzzam
9 5 8 9 5 9 4 4	Makam Mustear
5 9 8 1 4 9 9 8	Makam Maye (Yeni Maye)
1 4 9 8 5 9 9 3 5	Makam Vechi Arazbar
8 5 9 4 9 9 4 5	Makam Nisabur
5 13 4 9 5 12 5	Makam Cargah I
9 9 4 9 9 9 4	Makam Cargah II, Zavil, Dastgah-e Mahur, Fifty-three tone Major
5 8 13 5 5 8 4 5	Makam Araban
9 8 5 9 9 5 8	Makam Urmawi
9 4 13 5 4 13 5	Makam Rengidil
5 9 8 5 9 9 8	Makam Arak
7 1 5 9 9 4 9 9	Makam Necid Huseyni, Huzi
Persian modes as 53 tone equal modes:
6 7 9 9 4 9 9	Dastgah-e Shur
6 7 9 6 3 4 2 7 9	Dastgah-e Shur
6 7 9 9 4 2 7 9	Dastgah-e Abuata
4 2 7 9 6 3 4 2 7 9	Dastgah-e Dashti
6 3 9 4 9 9 6 7	Dastgah-e Bayat-e Tork
9 6 7 9 6 3 4 2 7	Dastgah-e Afshari
6 12 4 9 4 2 7 9	Dastgah-e Homayun
9 9 4 9 9 4 5 4	Dastgah-e Mahur, Rast (Rast Panjgah)
6 9 10 3 9 9 7	Naghmeh Abuata, Naghmeh Afshari
9 9 4 9 9 6 7	Naghmeh Bayat-e Tork, Naghmeh Dashti
9 4 9 9 6 12 4	Naghmeh Esfahan
9 6 7 9 6 7 9	Dastgah-e Sehgah
6 9 7 6 9 9 7	Dastgah-e Sehgah
9 4 9 9 6 9 7	Dastgah-e Mokhalif, Bayat-e Esfahan
6 12 4 9 6 12 4	Dastgah-e Chahargah
9 4 9 9 6 7 9	Dastgah-e Nava
54 tone equal modes:
10 7 10 10 7 10	Astrology-6
7 3 7 7 3 7 3 7 7 3	Astrology-10
3 5 5 5 3 5 5 5 3 5 5 5	August-12
5 7 7 7 7 7 7 7	Greeley-8
5 5 2 5 2 5 2 5 2 5 2 5 2 5 2	Greeley-15
5 4 5 4 5 4 5 4 5 4 5 4	Hexe-12
3 3 8 3 3 3 8 3 3 3 3 8 3	Muggles-13
5 5 5 7 5 5 5 5 7 5	Pajara-10
5 5 5 2 5 5 5 5 5 2 5 5	Pajara-12
7 7 4 7 7 4 7 7 4	Triforce-9
3 4 3 4 4 3 4 3 4 4 3 4 3 4 4	Triforce-15
7 5 5 5 7 5 5 5 5 5	Pentachordal Decatonic
55 tone equal modes:
4 5 5 4 5 4 5 4 5 5 4 5	Meantone Chromatic (3/17-comma)
5 4 5 4 5 5 4 5 4 5 4 5	Sauveur's Musician's System
5 4 5 4 5 4 5 5 4 5 4 5	Genus diatonico-chromaticum
9 9 5 9 9 9 5	Fifty-five tone Major
9 5 9 9 5 9 9	Fifty-five tone Natural Minor
9 5 9 9 9 9 5	Fifty-five tone Melodic Minor
9 5 9 9 5 13 5	Fifty-five tone Harmonic Minor
9 9 5 9 5 13 5	Fifty-five tone Harmonic Major
7 4 7 4 7 4 7 4 7 4	Archytas Clan-10
3 4 4 3 4 4 3 4 4 3 4 4 3 4 4	Archytas Clan-15
7 7 7 3 7 7 7 7 3	Armodue-9
4 7 4 7 4 7 4 7 4 7	Blackwood-10
4 3 4 4 3 4 4 3 4 4 3 4 4 3 4	Blackwood-15
7 10 7 7 10 7 7	Mavila-7
7 3 7 7 7 3 7 7 7	Mavila-9
2 7 7 2 7 7 2 7 7 7	Migration-10
9 7 9 7 9 7 7	Mohajira-7
2 7 7 2 7 7 7 2 7 7	Mohajira-10
4 4 4 4 4 4 4 4 4 4 4 4 4 3	Octacot-14
5 7 5 7 5 7 5 7 7	Superpelog-9
5 5 2 5 5 2 5 5 2 5 5 2 5 2	Superpelog-14
56 tone equal modes:
9 5 9 5 9 5 9 5	Diminished
5 9 5 9 5 9 5 9	Octatonic
4 5 5 4 5 5 4 5 5 4 5 5	Bidia-12
5 5 4 5 5 4 5 5 4 5 5 4	Diminished-12
5 6 6 5 6 5 6 6 5 6	Echidnic-10
5 3 5 3 5 3 5 3 5 3 5 3 5 3	Greenwood-14
9 9 9 9 9 11	Hemithirds-6
9 9 9 9 9 9 2	Hemithirds-7
7 2 7 2 7 2 7 2 7 2 7 2 2	Hemithirds-13
5 5 5 8 5 5 5 5 8 5	Pajara-10
5 5 5 3 5 5 5 5 5 3 5 5	Pajara-12
11 4 11 4 11 4 11	Superkleismic-7
4 7 4 7 4 4 7 4 4 7 4	Superkleismic-11
3 4 4 4 3 4 4 4 3 4 4 4 3 4 4	Superkleismic-15
13 10 10 13 10	Supra-5
10 3 10 10 10 3 10	Supra-7
3 7 3 7 3 3 7 3 7 3 7 3	Supra-12
8 5 5 5 8 5 5 5 5 5	Pentachordal Decatonic
57 tone equal modes:
7 7 7 4 7 7 7 7 4	Armodue-9
4 11 4 4 11 4 4 11 4	Augene-9
4 4 7 4 4 4 7 4 4 4 7 4	Augene-12
4 4 4 3 4 4 4 4 3 4 4 4 4 3 4	Augene-15
8 11 8 11 8 11	Augment-6
8 3 8 8 3 8 8 3 8	Augment-9
3 5 3 5 3 3 5 3 5 3 3 5 3 5 3	Augment-15
4 5 5 5 4 5 5 5 4 5 5 5	August-12
3 3 3 11 3 3 3 11 3 3 11	Bossier-11
3 3 3 8 3 3 3 3 8 3 3 3 8 3	Bossier-14
11 11 13 11 11	Quasi-equal Pentatonic, Mothra-5
9 2 9 2 9 2 9 2 9 2 2	Mothra-11
11 6 11 6 11 6 6	Sharp-7
5 6 6 6 5 6 6 5 6 6	Sharp-10
6 6 6 5 6 6 5 6 6 5	Silver-10
58 tone equal modes:
5 5 5 4 5 5 5 5 4 5 5 5	"Just" Chromatic
5 5 7 5 7 5 5 7 5 7	Anguirus-10
5 2 5 5 2 5 5 5 2 5 5 2 5 5	Anguirus-14
3 7 14 10 3 7 14	Archchro
3 7 7 7 3 7 7 3 7 7	Beatles-10
5 5 5 9 5 5 5 5 9 5	Diaschismic-10
5 5 5 4 5 5 5 5 5 4 5 5	Diaschismic-12
11 11 11 11 11 3	Gorgo-6
3 8 3 8 3 8 3 8 3 8 3	Gorgo-11
5 8 8 8 5 8 8 8	Hedgehog-8
5 3 5 5 3 5 3 5 3 5 5 3 5 3	Hedgehog-14
3 7 7 3 7 7 3 7 7 7	Hemififths-10
6 1 6 6 1 6 6 1 6 6 6 1 6	Laz-13
11 7 11 11 7 11	Lemba-6
7 4 7 4 7 7 4 7 4 7	Lemba-10
10 7 10 7 10 7 7	Mohajira-7
3 7 7 3 7 7 7 3 7 7	Mohajira-10
2 11 2 2 11 2 11 2 2 11 2	Myna-11
2 2 9 2 2 2 9 2 2 2 9 2 2 9 2	Myna-15
5 5 5 3 5 5 5 5 5 5 5 5	Ripple-12
7 2 7 2 7 2 2 7 2 7 2 7 2 2	Secant-14
4 7 4 4 5 6 4 5 4 6 5 4	Starling-12
7 4 4 4 4 4 7 4 4 4 4 4 4	Thuja-13
3 4 4 4 4 4 4 3 4 4 4 4 4 4 4	Thuja-15
5 5 3 5 3 5 3 5 5 3 5 3 5 3	Urchin-14
59 tone equal modes:
8 8 8 11 8 8 8	Miller's Porcupine-7
8 11 8 8 8 8 8	Miller's Porcupine-7 Major
8 8 8 8 8 8 8 3	Miller's Porcupine-8
7 7 5 7 7 7 7 5 7	Mabila-9
4 4 4 7 4 4 4 4 4 4 4 4 4 4	Nautilus-14
5 3 5 3 3 5 3 5 3 5 3 5 3 5 3	Porcupine-15
11 11 1 11 1 11 1 11 1	Pseudo-semaphore-9
5 5 5 4 5 5 5 5 5 5 5 5	Ripple-12
3 3 8 3 3 8 3 3 8 3 3 3 8	Subklei-13
60 tone equal modes:
6 4 6 3 6 4 6 6 3 6 4 6	"Just" Chromatic
12 3 5 4 6 6 4 5 3 12	First 5 equal temperaments mixed
10 2 3 5 4 6 6 4 5 3 2 10	First 6 equal temperaments mixed
9 8 9 8 9 9 8	Amity-7
11 8 11 11 8 11	Astrology-6
8 3 8 8 3 8 3 8 8 3	Astrology-10
5 7 5 7 5 7 5 7 5 7	Blacksmith-10
5 2 5 5 2 5 5 2 5 5 2 5 5 2 5	Blacksmith-15
5 4 4 5 4 4 4 5 4 4 5 4 4 4	Hemiamity-14
16 3 16 3 3 16 3	Magic-7
13 3 3 3 13 3 3 13 3 3	Magic-10
10 3 3 3 10 3 3 3 10 3 3 3 3	Magic-13
7 7 7 7 7 7 7 7 4	Progression-9
5 8 5 8 5 8 5 8 8	Superpelog-9
5 5 3 5 5 3 5 5 3 5 5 3 5 3	Superpelog-14
61 tone equal modes:
11 7 7 11 7 11 7	Dichotic-7
4 7 7 7 4 7 7 4 7 7	Dichotic-10
8 5 5 5 5 8 5 5 5 5 5	Freivald-11
3 5 5 5 5 5 3 5 5 5 5 5 5	Freivald-13
11 11 6 11 11 11	Machine-6
5 6 5 6 5 6 5 6 5 6 6	Machine-11
5 5 5 5 8 5 5 5 5 5 8	Parizek-11
5 5 5 5 5 3 5 5 5 5 5 5 3	Parizek-13
5 5 5 5 5 5 6 5 5 5 5 5	Passion-12
7 7 7 7 7 7 7 7 5	Progression-9
3 3 8 3 8 3 8 3 3 8 3 8	Quasisuper-12
7 4 7 7 4 7 7 7 4 7	Suhajira-10
3 8 3 8 3 3 8 3 8 3 8 3	Supra-12
9 9 9 9 9 9 7	Tetracot-7
2 7 2 7 2 7 2 7 7 2 7 2 7	Tetracot-13
62 tone equal modes:
8 8 8 3 8 8 8 8 3	Armodue-9
5 8 5 8 5 5 8 5 8 5	Decimal-10
10 13 13 13 13	Godzilla-5
10 10 3 10 3 10 3 10 3	Godzilla-9
7 3 7 3 3 7 3 3 7 3 3 7 3 3	Godzilla-14
5 5 5 5 5 6 5 5 5 5 5 6	Injera-12
5 5 5 5 5 5 1 5 5 5 5 5 5 1	Injera-14
9 4 4 4 4 4 9 4 4 4 4 4 4	Kangaroo-13
12 7 12 12 7 12	Lemba-6
7 5 7 5 7 7 5 7 5 7	Lemba-10
8 11 8 8 11 8 8	Mavila-7
8 3 8 8 8 3 8 8 8	Mavila-9
4 5 4 4 4 4 4 4 4 5 4 4 4 4 4	Progress-15
6 6 6 1 6 6 6 6 6 1 6 6	Semimiracle-12
63 tone equal modes:
7 4 4 7 4 7 4 7 4 4 7 4	Twelve-tone Chromatic (1/8-comma positive), Leapfrog-12
6 5 6 3 6 5 6 6 3 6 5 6	"Just" Chromatic
11 13 13 13 13	Immunity-5
11 11 2 11 2 11 2 11 2	Immunity-9
9 4 4 4 9 4 4 4 9 4 4 4	Inflated-12
4 5 4 4 4 4 5 4 4 4 4 5 4 4 4	Inflated-15
17 3 17 3 17 3 3	Magic-7
14 3 3 3 14 3 3 14 3 3	Magic-10
11 3 3 3 11 3 3 3 11 3 3 3 3	Magic-13
5 12 12 5 12 5 12	Orgone-7
5 5 7 5 7 5 5 7 5 5 7	Orgone-11
5 4 5 4 5 4 5 4 5 4 5 4 5 4	Septimal-14
10 10 10 10 10 10 3	Spell-7
7 3 7 3 7 3 7 3 7 3 7 3 3	Spell-13
7 6 6 7 6 6 7 6 6 6	Submajor-10
8 8 5 8 8 5 8 8 5	Triforce-9
3 5 3 5 5 3 5 3 5 5 3 5 3 5 5	Triforce-15
64 tone equal modes:
7 12 7 12 7 12 7	Chrysanthos Soft Chromatic Byzantine mode
6 7 6 7 6 6 7 6 7 6	Decimal-10
12 7 7 12 7 12 7	Beatles-7, Dichotic-7
5 7 7 7 5 7 7 5 7 7	Beatles-10, Dichotic-10
3 7 7 3 7 3 7 7 3 7 3 7	Flattone-12
5 5 5 5 5 7 5 5 5 5 5 7	Injera-12
5 5 5 5 5 5 2 5 5 5 5 5 5 2	Injera-14
4 13 4 13 4 13 13	Kleismic-7
4 4 9 4 9 4 4 9 4 4 9	Kleismic-11
12 7 12 7 12 7 7	Sharp-7
5 7 7 7 5 7 7 5 7 7	Sharp-10
65 tone equal modes:
6 5 5 6 5 6 5 6 5 5 6 5	Meantone Chromatic (1/52-comma)
6 5 6 4 6 5 6 6 4 6 5 6	"Just" Chromatic
11 10 6 11 10 11 6	Sixty-five tone "Just" Major
11 6 10 11 6 11 10	Sixty-five tone "Just" Minor
11 8 11 8 11 8 8	Mohajira-7
3 8 8 3 8 8 8 3 8 8	Mohajira-10
11 9 9 9 9 9 9	Porky-7
7 7 10 7 7 10 7 10	Sensi-8
7 7 7 3 7 7 7 3 7 7 3	Sensi-11
9 4 4 4 4 4 4 4 4 4 4 4 4 4 4	Slurpee-15
4 9 4 4 6 7 4 6 4 7 6 4	Starling-12
5 9 5 9 5 9 5 9 9	Superpelog-9
5 5 4 5 5 4 5 5 4 5 5 4 5 4	Superpelog-14
4 9 4 9 4 9 4 9 4 9	Trisedodge-10
4 4 5 4 4 5 4 4 5 4 4 5 4 4 5	Trisedodge-15
15 2 2 2 15 2 2 2 15 2 2 2 2	Wurschmidt-13
66 tone equal modes:
8 8 8 5 8 8 8 8 5	Armodue-9
17 5 17 5 17 5	Augene-6
5 12 5 5 12 5 5 12 5	Augene-9
5 5 7 5 5 5 7 5 5 5 7 5	Augene-12
5 5 5 2 5 5 5 5 2 5 5 5 5 2 5	Augene-15
5 9 5 9 5 5 9 5 9 5	Decimal-10
5 5 5 5 5 8 5 5 5 5 5 8	Injera-12
5 5 5 5 5 5 3 5 5 5 5 5 5 3	Injera-14
8 8 5 8 8 8 8 5 8	Mabila-9
9 7 9 7 9 9 7 9	Tridec-8
9 4 4 4 4 4 4 9 4 4 4 4 4 4	Vishnu-14
67 tone equal modes:
5 6 6 5 6 5 6 5 6 6 5 6	Meantone Chromatic (4/25-comma)
9 11 9 9 11 9 9	Mavila-7
9 2 9 9 9 2 9 9 9	Mavila-9
13 13 15 13 13	Quasi-equal Pentatonic, Mothra-5
11 2 11 2 11 2 11 2 11 2 2	Mothra-11
7 7 7 7 11 7 7 7 7	Negri-9
7 7 7 7 7 7 7 7 7 4	Negri-10
7 4 7 4 4 7 4 7 4 4 7 4 4	Semisept-13
13 7 13 7 13 7 7	Sharp-7
6 7 7 7 6 7 7 6 7 7	Sharp-10
5 8 5 8 5 5 8 5 5 8 5	Superkleismic-11
3 5 5 5 3 5 5 5 3 5 5 5 3 5 5	Superkleismic-15
68 tone equal modes:
9 7 12 12 9 7 12	Chrysanthos 1st Byzantine Liturgical mode
12 13 3 12 12 5 11	Chrysanthos 3rd Byzantine Liturgical mode
12 9 7 12 9 7 12	Chrysanthos 4th Byzantine Liturgical mode
7 18 3 12 7 18 3	Chrysanthos Hard Chromatic 2nd plagal Byzantine mode
7 18 3 12 9 7 12	Chrysanthos Hard Chromatic/Diatonic Byzantine mode
9 7 12 12 3 13 12	Chrysanthos Diatonic-Enharmonic Byzantine mode
13 12 3 12 9 7 12	Chrysanthos Enharmonic-Diatonic Byzantine mode
9 7 12 7 18 3 12	Fokaeas 2nd plagal Byzantine Liturgical mode
12 9 7 12 12 3 13	Konstantinos 3rd Byzantine Liturgical mode
12 4 12 9 7 12 12	Konstantinos 4th plagal Byzantine Liturgical mode
12 13 3 12 12 13 3	Tiby 1st Byzantine Liturgical mode
12 5 11 12 12 5 11	Tiby 2nd Byzantine Liturgical mode
9 12 7 12 9 12 7	Tiby 4th Byzantine Liturgical mode
7 14 7 12 7 14 7	Tsiknopoulos 2nd Byzantine Liturgical mode
7 12 12 9 7 12 9	Tsiknopoulos 4th Byzantine Liturgical mode
12 9 7 12 12 9 7	Tsiknopoulos 4th plagal Byzantine Liturgical mode, Tiby 3rd Byzantine mode
11 6 11 6 11 6 11 6	Diminished
5 6 6 5 6 6 5 6 6 5 6 6	Bidia-12
3 11 3 3 11 3 3 11 3 3 11 3	Blackbirds-12
6 6 5 6 6 5 6 6 5 6 6 5	Diminished-12
4 5 4 5 4 5 4 5 4 5 4 5 4 5 5	Hemikleismic-15
11 11 11 11 11 13	Hemithirds-6
11 11 11 11 11 11 2	Hemithirds-7
9 2 9 2 9 2 9 2 9 2 9 2 2	Hemithirds-13
13 8 13 13 8 13	Lemba-6
8 5 8 5 8 8 5 8 5 8	Lemba-10
7 7 7 7 12 7 7 7 7	Negri-9
7 7 7 7 7 7 7 7 7 5	Negri-10
5 5 5 5 5 5 5 5 5 5 5 5 5 3	Octacot-14
10 3 10 3 10 3 10 3 3 10 3	Spartan-11
69 tone equal modes:
4 7 7 4 7 4 7 4 7 7 4 7	Meantone Chromatic (5/17-comma), Synch-Meantone-12
5 13 5 5 13 5 5 13 5	Augene-9
5 5 8 5 5 5 8 5 5 5 8 5	Augene-12
5 5 5 3 5 5 5 5 3 5 5 5 5 3 5	Augene-15
5 6 6 6 5 6 6 6 5 6 6 6	August-12
8 8 8 8 8 8 8 8 5	Jerome-9, Progression-9
10 10 3 10 10 3 10 10 3	Oodako-9
11 11 11 11 11 11 3	Spell-7
8 3 8 3 8 3 8 3 8 3 8 3 3	Spell-13
9 9 5 9 9 5 9 9 5	Triforce-9
4 5 4 5 5 4 5 4 5 5 4 5 4 5 5	Triforce-15
70 tone equal modes:
7 5 5 7 5 7 5 7 5 5 7 5	Twelve-tone Chromatic (1/24-comma positive), Dominant-12
3 7 7 3 10 1 9 5 5 9 1 10	Jorgensen 5&7
9 5 9 5 9 5 9 5 9 5	Archytas Clan-10
4 5 5 4 5 5 4 5 5 4 5 5 4 5 5	Archytas Clan-15
6 6 6 11 6 6 6 6 11 6	Diaschismic-10
6 6 6 5 6 6 6 6 6 5 6 6	Diaschismic-12
3 13 3 13 3 3 13 3 13 3	Doublewide-10
3 3 10 3 3 10 3 3 3 10 3 3 10 3	Doublewide-14
5 5 8 5 8 5 8 5 8 5 8	Kumonga-11
6 6 7 6 7 6 6 7 6 6 7	Orgone-11
5 7 5 5 7 5 7 5 5 7 5 7	Schismic-12
3 7 3 7 3 7 3 7 3 7 3 7 3 7	Whitewood-14
71 tone equal modes:
3 8 8 3 8 3 8 3 8 8 3 8	Meantone Chromatic (5/13-comma)
5 8 8 8 5 8 8 5 8 8	Beatles-10
3 8 8 3 8 3 8 8 3 8 3 8	Flattone-12
11 15 15 15 15	Godzilla-5
11 11 4 11 4 11 4 11 4	Godzilla-9
7 4 7 4 4 7 4 4 7 4 4 7 4 4	Godzilla-14
6 6 6 5 6 6 6 6 6 6 6 6	Ripple-12
7 5 7 7 7 5 7 7 5 7 7	Stacks-11
3 10 3 3 10 3 10 3 3 10 3 10	Superpyth-12
8 5 5 5 5 5 8 5 5 5 5 5 5	Thuja-13
3 5 5 5 5 5 5 3 5 5 5 5 5 5 5	Thuja-15
72 tone equal modes:
7 5 7 4 7 5 7 7 4 7 5 7	"Just" Chromatic
5 5 20 5 5 20 12	Parachromatic Mixolydian
5 20 5 5 20 12 5	Parachromatic Lydian
20 5 5 20 12 5 5	Parachromatic Phrygian
5 5 20 12 5 5 20	Parachromatic Dorian
5 20 12 5 5 20 5	Parachromatic Hypolydian
20 12 5 5 20 5 5	Parachromatic Hypophrygian
12 5 5 20 5 5 20	Parachromatic Hypodorian
5 10 15 5 10 15 12	Soft Diatonic Mixolydian
10 15 5 10 15 12 5	Soft Diatonic Lydian
15 5 10 15 12 5 10	Soft Diatonic Phrygian
5 10 15 12 5 10 15	Soft Diatonic Dorian
10 15 12 5 10 15 5	Soft Diatonic Hypolydian
15 12 5 10 15 5 10	Soft Diatonic Hypophrygian
12 5 10 15 5 10 15	Soft Diatonic Hypodorian
9 10 11 9 10 11 12	Equable Diatonic Mixolydian
10 11 9 10 11 12 9	Equable Diatonic Lydian
11 9 10 11 12 9 10	Equable Diatonic Phrygian
9 10 11 12 9 10 11	Equable Diatonic Dorian
10 11 12 9 10 11 9	Equable Diatonic Hypolydian
11 12 9 10 11 9 10	Equable Diatonic Hypophrygian
12 9 10 11 9 10 11	Equable Diatonic Hypodorian
11 7 12 12 11 7 12	Misaelides 1st Byzantine Liturgical mode
12 12 11 7 12 11 7	Misaelides 3rd Byzantine Liturgical mode
7 12 12 11 7 12 11	Misaelides 4th Byzantine Liturgical mode
11 7 12 15 3 12 12	Misaelides 1st plagal Byzantine Liturgical mode
7 20 3 12 7 20 3	Misaelides 2nd plagal Byzantine Liturgical mode
5 19 6 12 5 19 6	Xenakis Byzantine Liturgical Chromatic
7 16 7 12 7 16 7	Xenakis Byzantine Liturgical Soft Chromatic, Quasi-Miracle-7
12 11 7 12 12 11 7	Xenakis Byzantine Liturgical Diatonic, Misaelides 4th plagal Byzantine
6 20 4 12 9 10 11	Byzantine Palace mode
16 7 12 7 16 7 7	Keenanmarvel
7 12 7 9 7 7 7 16	Three Tetrads
7 7 7 5 2 5 2 5 7 7 7 11	Blackjack-12
5 7 4 7 7 5 7 7 4 5 7 7	Hexy
7 5 4 7 7 5 7 7 4 5 7 7	Smith's Prism
13 10 13 13 10 13	Astrology-6
10 3 10 10 3 10 3 10 10 3	Astrology-10
5 14 5 5 14 5 5 14 5	Augene-9
5 5 9 5 5 5 9 5 5 5 9 5	Augene-12
5 5 5 4 5 5 5 5 4 5 5 5 5 4 5	Augene-15
2 5 5 5 5 5 5 5 5 5 5 5 5 5 5	Belauensis-15
7 5 7 5 7 5 7 5 7 5 7 5	Hexe-12
4 15 4 15 4 15 15	Kleismic-7
4 4 11 4 11 4 4 11 4 4 11	Kleismic-11
4 4 4 7 4 4 4 7 4 4 4 7 4 4 7	Kleismic-15
7 5 7 4 7 5 7 7 7 2 7 7	Marvel-12
7 7 7 7 7 7 7 7 7 9	Miracle-10
7 7 7 7 7 7 7 7 7 2 5 2	Miracle-12
7 9 7 7 5 7 7 9 7 7	Quasi-Miracle-10
7 7 7 1 7 7 7 7 7 1 7 7	Semimiracle-12
6 4 6 4 11 6 4 6 4 6 4 11	A Carpenter's Olive
9 5 9 5 9 5 9 2 5 9 5	Hopalong
12 7 7 5 3 8 9 10 5 6	JuneGloom
12 4 7 3 4 3 9 11 5 5 2 7	Rodgers Adams
73 tone equal modes:
9 9 9 5 9 9 9 9 5	Armodue-9
5 7 7 7 7 5 7 7 7 7 7	Joan-11
5 5 5 8 5 5 5 5 5 5 5 5 5 5	Nautilus-14
6 6 6 6 6 6 7 6 6 6 6 6	Passion-12
13 10 10 10 10 10 10	Porky-7
8 8 8 3 8 8 8 3 8 8 3	Sensi-11
11 3 11 3 11 3 11 3 3 11 3	Spartan-11
4 9 4 9 4 4 9 4 9 4 9 4	Supra-12
9 5 5 5 5 5 9 5 5 5 5 5 5	Thuja-13
4 5 5 5 5 5 5 4 5 5 5 5 5 5 5	Thuja-15
74 tone equal modes:
5 7 7 5 7 5 7 5 7 7 5 7	Meantone Chromatic (3/14-comma), Grosstone-12
5 5 5 7 5 5 5 5 5 5 7 5 5 5	Bipelog-14
7 3 7 7 3 7 3 7 3 7 7 3 7 3	Hedgehog-14
6 6 6 6 6 7 6 6 6 6 6 7	Injera-12
6 6 6 6 6 6 1 6 6 6 6 6 6 1	Injera-14
14 9 14 14 9 14	Lemba-6
9 5 9 5 9 9 5 9 5 9	Lemba-10
5 5 5 9 5 5 5 5 5 5 5 5 5 5	Nautilus-14
7 7 7 2 7 7 7 7 7 2 7 7	Pajaro-12
5 7 5 5 9 5 7 5 7 7 3 9	Igliashon-12
75 tone equal modes:
8 5 5 8 5 8 5 8 5 5 8 5	Twelve-tone Chromatic (2/21-comma positive)
7 6 7 4 7 6 7 7 4 7 6 7	"Just" Chromatic
16 3 3 3 16 3 3 3 16 3 3 3	Hemiaug-12
6 7 7 7 7 6 7 7 7 7 7	Joan-11
8 8 8 8 11 8 8 8 8	Negri-9
8 8 8 8 8 8 8 8 8 3	Negri-10
11 11 3 11 11 3 11 11 3	Oodako-9
17 17 17 17 7	Orwell-5
10 7 10 7 10 7 10 7 7	Orwell-9
3 7 7 3 7 7 3 7 7 3 7 7 7	Orwell-13
5 8 5 5 8 5 8 5 5 8 5 8	Schism-12
11 11 11 11 11 11 9	Tetracot-7
2 9 2 9 2 9 2 9 9 2 9 2 9	Tetracot-13
76 tone equal modes:
5 5 5 8 5 5 5 5 5 5 8 5 5 5	Bipelog-14
10 13 10 10 13 10 10	Mavila-7
10 3 10 10 10 3 10 10 10	Mavila-9
7 7 7 10 7 7 7 7 10 7	Pajara-10
7 7 7 3 7 7 7 7 7 3 7 7	Pajara-12
12 5 5 12 5 5 5 12 5 5 5	Squares-11
7 5 5 5 7 5 5 5 5 7 5 5 5 5	Squares-14
3 11 3 3 11 3 11 3 3 11 3 11	Superpyth-12
8 8 5 8 8 5 8 8 5 8 5	Wilson Golden-11
77 tone equal modes:
7 6 6 7 6 7 6 7 6 6 7 6	Meantone Chromatic (18/59-comma), Grackle-12
7 6 7 5 7 6 7 7 5 7 6 7	"Just" Chromatic
7 10 10 10 10 10 10 10	Greeley-8
7 7 3 7 3 7 3 7 3 7 3 7 3 7 3	Greeley-15
7 4 7 4 7 4 7 4 7 4 7 4 7 4	Greenwood-14
9 9 7 9 9 9 9 7 9	Mabila-9
8 8 8 8 13 8 8 8 8	Negri-9
8 8 8 8 8 8 8 8 8 5	Negri-10
9 9 9 9 9 9 9 9 5	Progression-9
8 5 5 8 5 5 8 5 5 8 5 5 5	Ragimetric-13
6 5 6 5 6 5 6 5 6 5 6 5 6 5	Septimal-14
15 15 15 17 15	Slendric-5
13 2 13 2 13 2 13 2 2 13 2	Slendric-11
5 15 5 15 5 12 8 12	Smith's Star
8 12 5 15 5 12 8 12	Smith's Nova
5 10 5 5 7 8 5 7 5 8 7 5	Starling-12
5 5 5 5 5 5 5 5 5 5 5 7 5 5 5	Valentine-15
78 tone equal modes:
5 7 7 7 5 7 7 7 5 7 7 7	August-12
16 16 15 16 15	Blue-5
8 5 8 5 8 5 8 5 8 5 8 5	Hexe-12
11 5 5 5 11 5 5 5 11 5 5 5	Inflated-12
5 6 5 5 5 5 6 5 5 5 5 6 5 5 5	Inflated-15
7 7 7 11 7 7 7 7 11 7	Pajara-10
7 7 7 4 7 7 7 7 7 4 7 7	Pajara-12
9 5 9 9 5 9 9 9 5 9	Suhajira-10
5 5 5 5 5 5 5 5 5 5 5 8 5 5 5	Tertiaseptal-15
79 tone equal modes:
6 7 7 6 7 6 7 6 7 7 6 7	Meantone Chromatic (3/20-comma)
12 12 12 12 7 12 12	Bluebirds-7
5 7 5 7 5 7 5 7 7 5 7 5 7	Bluebirds-13
15 15 15 15 15 4	Gorgo-6
4 11 4 11 4 11 4 11 4 11 4	Gorgo-11
3 10 10 3 10 10 3 10 10 10	Migration-10
3 10 10 3 10 10 10 3 10 10	Mohajira-10
5 7 5 5 5 5 5 5 5 7 5 5 5 5 5	Progress-15
5 8 5 5 5 8 5 5 5 5 8 5 5 5	Sentinel-14
13 5 5 13 5 5 5 13 5 5 5	Squares-11
8 5 5 5 8 5 5 5 5 8 5 5 5 5	Squares-14
80 tone equal modes:
9 5 5 9 5 9 5 9 5 5 9 5	Twelve-tone Chromatic (1/7-comma positive)
6 7 7 6 7 7 6 7 7 6 7 7	Bidia-12
6 11 6 11 6 6 11 6 11 6	Decimal-10
7 7 7 12 7 7 7 7 12 7	Diaschismic-10
7 7 7 5 7 7 7 7 7 5 7 7	Diaschismic-12
7 9 7 9 7 9 7 9 7 9	Ferrum-10
7 4 7 7 4 7 4 7 4 7 7 4 7 4	Hedgehog-14
13 4 13 4 4 13 4 4 13 4 4	Parakleismic-11
9 4 4 9 4 4 4 9 4 4 4 9 4 4 4	Parakleismic-15
8 5 8 5 5 8 5 8 5 5 8 5 5	Semisept-13
5 11 5 11 5 11 5 11 5 11	Trisedodge-10
5 5 6 5 5 6 5 5 6 5 5 6 5 5 6	Trisedodge-15
81 tone equal modes:
5 8 8 5 8 5 8 5 8 8 5 8	Meantone Chromatic (5/19-comma)
6 7 7 7 6 7 7 7 6 7 7 7	August-12
8 11 8 8 11 8 8 11 8	Deflated-9
13 17 17 17 17	Godzilla-5
13 13 4 13 4 13 4 13 4	Godzilla-9
9 4 9 4 4 9 4 4 9 4 4 9 4 4	Godzilla-14
13 13 13 13 13 13 3	Spell-7
10 3 3 10 3 10 3 10 3 10 3 10 3	Spell-13
11 11 11 15 11 11 11	Miller's Porcupine-7
11 15 11 11 11 11 11	Miller's Porcupine-7 Major
11 11 11 11 11 11 11 4	Miller's Porcupine-8
7 4 7 4 4 7 4 7 4 7 4 7 4 7 4	Porcupine-15
82 tone equal modes:
15 11 15 15 11 15	Astrology-6
11 4 11 11 4 11 4 11 11 4	Astrology-10
7 10 7 10 7 7 10 7 10 7	Decimal-10
7 9 9 7 9 7 9 9 7 9	Echidnic-10
8 8 8 1 8 8 8 8 8 1 8 8	Semimiracle-12
13 13 13 13 13 13 4	Spell-7
9 4 9 4 9 4 9 4 9 4 9 4 4	Spell-13
83 tone equal modes:
8 8 8 8 8 8 8 11 8 8	Apparatus-10
8 8 8 8 8 8 8 8 3 8 8	Apparatus-11
17 17 16 17 16	Blue-5
4 9 9 4 9 4 9 9 4 9 4 9	Flattone-12
5 17 5 17 5 17 17	Kleismic-7
5 5 12 5 12 5 5 12 5 5 12	Kleismic-11
13 3 13 3 13 3 13 3 13 3 3	Mothra-11
13 11 13 11 13 11 11	Ptolemy-7
4 4 11 4 11 4 11 4 4 11 4 11	Quasisuper-12
7 7 7 6 7 7 7 7 7 7 7 7	Ripple-12
13 5 5 5 5 5 5 5 5 5 5 5 5 5 5	Slurpee-15
4 11 4 11 4 4 11 4 11 4 11 4	Supra-12
9 9 9 9 9 9 9 9 11	Twothirdtonic-9
84 tone equal modes:
8 6 8 5 8 6 8 8 5 8 6 8	"Just" Chromatic
13 8 13 8 13 8 13 8	Golden Diminished
4 4 11 4 4 4 11 4 4 11 4 4 4 11	Fleetwood-14
10 10 7 10 10 10 10 7 10	Mabila-9
11 8 11 8 11 8 11 8 8	Orwell-9
3 8 8 3 8 8 3 8 8 3 8 8 8	Orwell-13
10 3 10 3 10 3 3 10 3 10 3 10 3 3	Secant-14
9 9 9 4 9 9 9 4 9 9 4	Sensi-11
7 5 7 5 7 5 7 5 7 5 7 5 7 5	Septimal-14
9 9 9 7 9 9 7 9 9 7	Silver-10
11 11 6 11 11 6 11 11 6	Triforce-9
5 6 5 6 6 5 6 5 6 6 5 6 5 6 6	Triforce-15
12 5 5 5 5 5 5 12 5 5 5 5 5 5	Vishnu-14
11 16 11 11 16 11 8	Zeus7tri
11 11 11 13 11 11 11 5	Zeus8tri
85 tone equal modes:
13 11 13 11 13 13 11	Amity-7
11 6 11 6 11 6 11 6 11 6	Archytas Clan-10
5 6 6 5 6 6 5 6 6 5 6 6 5 6 6	Archytas Clan-15
7 10 7 10 7 10 7 10 7 10	Blacksmith-10
7 3 7 7 3 7 7 3 7 7 3 7 7 3 7	Blacksmith-15
13 18 18 18 18	Godzilla-5
13 13 5 13 5 13 5 13 5	Godzilla-9
8 5 8 5 5 8 5 5 8 5 5 8 5 5	Godzilla-14
7 12 7 7 12 7 7 12 7 7	Golden-10
7 7 5 7 7 7 5 7 7 7 5 7 7	Golden-13
8 11 11 11 11 11 11 11	Greeley-8
8 8 3 8 3 8 3 8 3 8 3 8 3 8 3	Greeley-15
23 4 23 4 23 4 4	Magic-7
19 4 4 4 19 4 4 19 4 4	Magic-10
15 4 4 4 15 4 4 4 15 4 4 4 4	Magic-13
3 16 3 3 16 3 16 3 3 16 3	Myna-11
3 3 13 3 3 3 13 3 3 3 13 3 3 13 3	Myna-15
5 12 5 12 5 12 5 12 5 12	Trisedodge-10
5 5 7 5 5 7 5 5 7 5 5 7 5 5 7	Trisedodge-15
86 tone equal modes:
7 11 7 11 7 7 11 7 11 7	Decimal-10
7 7 7 7 7 8 7 7 7 7 7 8	Injera-12
7 7 7 7 7 7 1 7 7 7 7 7 7 1	Injera-14
3 11 11 3 11 11 3 11 11 11	Migration-10
14 11 14 11 14 11 11	Mohajira-7
3 11 11 3 11 11 11 3 11 11	Mohajira-10
9 9 9 9 14 9 9 9 9	Negri-9
9 9 9 9 9 9 9 9 9 5	Negri-10
7 7 7 7 7 7 9 7 7 7 7 7	Passion-12
7 7 5 7 5 7 5 7 7 5 7 5 7 5	Urchin-14
87 tone equal modes:
8 7 8 5 8 7 8 8 5 8 7 8	"Just" Chromatic
14 14 14 14 14 17	Hemithirds-6
14 14 14 14 14 14 3	Hemithirds-7
11 3 11 3 11 3 11 3 11 3 11 3 3	Hemithirds-13
5 18 5 18 5 18 18	Kleismic-7
5 5 13 5 13 5 5 13 5 5 13	Kleismic-11
7 7 8 7 7 7 8 7 7 7 8 7	Misty-12
7 7 7 7 12 7 7 7 7 7 12	Parizek-11
7 7 7 7 7 5 7 7 7 7 7 7 5	Parizek-13
10 10 10 10 10 10 10 10 7	Progression-9
17 17 17 19 17	Rodan-5
15 2 15 2 15 2 15 2 2 15 2	Rodan-11
7 5 5 7 5 7 5 5 7 5 7 5 5 7 5	Ternary-15
11 11 7 11 11 7 11 11 7	Triforce-9
4 7 4 7 7 4 7 4 7 7 4 7 4 7 7	Triforce-15
88 tone equal modes:
5 9 9 5 9 5 9 5 9 9 5 9	Meantone Chromatic (3/10-comma), Harrison-Lucy-12
7 7 7 7 7 9 7 7 7 7 7 9	Injera-12
7 7 7 7 7 7 2 7 7 7 7 7 7 2	Injera-14
17 10 17 17 10 17	Lemba-6
10 7 10 7 10 10 7 10 7 10	Lemba-10
14 3 14 3 14 3 14 3 14 3 3	Mothra-11
13 13 13 13 13 13 10	Tetracot-7
3 10 3 10 3 10 3 10 10 3 10 3 10	Tetracot-13
89 tone equal modes:
8 7 7 8 7 8 7 8 7 7 8 7	Meantone Chromatic (1/26-comma), Quiretsim-12
8 7 8 6 8 7 8 8 6 8 7 8	"Just" Chromatic
4 11 11 4 11 11 11 4 11 11	Mohajira-10
5 5 13 5 5 5 13 5 5 5 5 13 5	Muggles-13
3 17 3 3 17 3 17 3 3 17 3	Myna-11
3 3 14 3 3 3 14 3 3 3 14 3 3 14 3	Myna-15
7 7 10 7 10 7 7 10 7 7 10	Orgone-11
5 9 5 9 5 9 5 5 9 5 9 5 9	Unsmate-13
90 tone equal modes:
23 7 23 7 23 7	Augmented-6
7 16 7 7 16 7 7 16 7	Augmented-9
7 7 9 7 7 7 9 7 7 7 9 7	Augmented-12
7 7 2 7 7 7 7 2 7 7 7 7 2 7 7	Augmented-15
7 12 7 12 7 7 12 7 12 7	Decimal-10
17 17 17 17 17 5	Gorgo-6
5 12 5 12 5 12 5 12 5 12 5	Gorgo-11
7 7 7 7 7 10 7 7 7 7 7 10	Injera-12
7 7 7 7 7 7 3 7 7 7 7 7 7 3	Injera-14
17 11 17 17 11 17	Lemba-6
11 6 11 6 11 11 6 11 6 11	Lemba-10
8 8 8 5 8 8 8 8 8 5 8 8	Pajara-12
91 tone equal modes:
7 8 8 7 8 7 8 7 8 8 7 8	Meantone Chromatic (1/7-comma), Romieu-12
17 10 10 17 10 17 10	Dichotic-7
7 10 10 10 7 10 10 7 10 10	Dichotic-10
5 19 5 19 5 19 19	Kleismic-7
5 5 14 5 14 5 5 14 5 5 14	Kleismic-11
7 6 7 6 7 6 7 6 7 6 7 6 7 6	Septimal-14
9 11 9 11 9 11 9 11 11	Septimin-9
9 9 2 9 9 2 9 9 2 9 9 2 9 2	Septimin-14
92 tone equal modes:
3 11 11 3 11 3 11 3 11 11 3 11	Meantone Chromatic (49/99-comma)
8 8 11 8 11 8 8 11 8 11	Anguirus-10
8 3 8 8 3 8 8 8 3 8 8 3 8 8	Anguirus-14
9 9 9 9 9 9 9 9 9 11	Miracle-10
9 9 9 9 9 9 9 9 9 2 7 2	Miracle-12
93 tone equal modes:
24 7 24 7 24 7	Augmented-6
7 17 7 7 17 7 7 17 7	Augmented-9
7 7 10 7 7 7 10 7 7 7 10 7	Augmented-12
7 7 3 7 7 7 7 3 7 7 7 7 3 7 7	Augmented-15
13 6 6 6 13 6 6 6 13 6 6 6	Inflated-12
6 7 6 6 6 6 7 6 6 6 6 7 6 6 6	Inflated-15
8 8 8 5 8 8 8 8 8 8 8 8	Ripple-12
4 13 4 4 13 4 13 4 4 13 4 13	Superpyth-12
12 12 7 12 12 7 12 12 7	Triforce-9
5 7 5 7 7 5 7 5 7 7 5 7 5 7 7	Triforce-15
94 tone equal modes:
9 7 7 9 7 9 7 9 7 7 9 7	Twelve-tone Chromatic (1/125-comma positive), Schismatic-12
9 7 9 5 9 7 9 9 5 9 7 9	"Just" Chromatic
8 5 8 8 5 8 5 8 5 8 8 5 8 5	Hedgehog-14
15 15 15 15 15 15 4	Spell-7
11 4 4 11 4 11 4 11 4 11 4 11 4	Spell-13
18 11 18 18 11 18	Lemba-6
11 7 11 7 11 11 7 11 7 11	Lemba-10
9 7 9 5 9 7 9 9 9 3 9 9	Marvel-12
11 11 11 11 11 11 11 11 6	Progression-9
7 9 7 7 9 7 9 7 7 9 7 9	Schismic-12
8 8 5 8 5 8 5 8 8 5 8 5 8 5	Urchin-14
95 tone equal modes:
8 11 8 11 8 11 8 11 8 11	Blacksmith-10
8 3 8 8 3 8 8 3 8 8 3 8 8 3 8	Blacksmith-15
18 18 18 18 18 5	Gorgo-6
5 13 5 13 5 13 5 13 5 13 5	Gorgo-11
7 7 7 7 7 7 7 7 7 7 7 7 7 4	Octacot-14
17 13 13 13 13 13 13	Porky-7
8 8 8 7 8 8 8 8 8 8 8 8	Ripple-12
11 6 11 11 6 11 11 11 6 11	Suhajira-10
6 13 6 13 6 13 6 13 6 13	Trisedodge-10
6 6 7 6 6 7 6 6 7 6 6 7 6 6 7	Trisedodge-15
96 tone equal modes:
9 7 9 6 9 7 9 9 6 9 7 9	"Just" Chromatic
11 18 11 10 6 11 18 11	Buzurg
11 18 11 10 6 12 21 7	Buzurg-Hijaz
7 18 7 7 18 7 7 18 7	Augene-9
7 7 11 7 7 7 11 7 7 7 11 7	Augene-12
7 7 7 4 7 7 7 7 4 7 7 7 7 4 7	Augene-15
9 4 9 9 4 9 4 9 4 9 9 4 9 4	Hedgehog-14
11 9 9 11 9 9 11 9 9 9	Submajor-10
22 3 3 3 22 3 3 3 22 3 3 3 3	Wurschmidt-13
97 tone equal modes:
11 6 6 11 6 11 6 11 6 6 11 6	Twelve-tone Chromatic (3/20-comma positive)
11 11 11 11 11 11 11 11 9	Progression-9
7 12 7 12 7 7 12 7 7 12 7	Superkleismic-11
5 7 7 7 5 7 7 7 5 7 7 7 5 7 7	Superkleismic-15
98 tone equal modes:
7 9 9 7 9 7 9 7 9 9 7 9	Meantone Chromatic (5/27-comma)
13 8 8 8 8 13 8 8 8 8 8	Freivald-11
5 8 8 8 8 8 5 8 8 8 8 8 8	Freivald-13
16 3 16 3 16 3 16 3 16 3 3	Mothra-11
9 9 9 4 9 9 9 9 9 4 9 9	Pajara-12
99 tone equal modes:
10 7 7 10 7 10 7 10 7 7 10 7	Twelve-tone Chromatic (1/20-comma positive)
9 8 9 6 9 8 9 9 6 9 8 9	"Just" Chromatic
15 13 15 13 15 15 13	Amity-7
5 12 12 5 12 12 5 12 12 12	Hemififths-10
16 16 16 16 16 19	Hemithirds-6
16 16 16 16 16 16 3	Hemithirds-7
13 3 13 3 13 3 13 3 13 3 13 3 3	Hemithirds-13
8 8 9 8 8 8 9 8 8 8 9 8	Misty-12
16 5 16 5 5 16 5 5 16 5 5	Parakleismic-11
11 5 5 11 5 5 5 11 5 5 5 11 5 5 5	Parakleismic-15
23 3 3 3 23 3 3 3 23 3 3 3 3	Wurschmidt-13
13 19 13 13 19 13 9	Zeus7tri
13 13 13 15 13 13 13 6	Zeus8tri
100 tone equal modes:
17 15 17 17 17 17	Baldy-6
15 2 15 2 15 2 15 15 2 15 2	Baldy-11
7 13 7 13 7 13 7 13 7 13	Blackwood-10
7 6 7 7 6 7 7 6 7 7 6 7 7 6 7	Blackwood-15
8 13 8 13 8 8 13 8 13 8	Decimal-10
9 13 13 13 13 13 13 13	Greeley-8
9 9 4 9 4 9 4 9 4 9 4 9 4 9 4	Greeley-15
8 8 11 8 11 8 8 11 8 8 11	Orgone-11
9 9 9 5 9 9 9 9 9 5 9 9	Pajara-12
11 11 11 4 11 11 11 4 11 11 4	Sensi-11
101 tone equal modes:
9 8 8 9 8 9 8 9 8 8 9 8	Meantone Chromatic (1/22-comma)
9 8 9 7 9 8 9 9 7 10 7 9	Genus diatonico-chromaticum
3 7 7 7 7 7 7 7 7 7 7 7 7 7 7	Belauensis-15
16 16 16 16 16 16 5	Spell-7
11 5 11 5 11 5 11 5 11 5 11 5 5	Spell-13
12 7 7 7 7 7 12 7 7 7 7 7 7	Thuja-13
5 7 7 7 7 7 7 5 7 7 7 7 7 7 7	Thuja-15
27 5 27 5 5 27 5	Magic-7, Witchcraft-7
22 5 5 5 22 5 5 22 5 5	Magic-10, Witchcraft-10
17 5 5 5 17 5 5 5 17 5 5 5 5	Magic-13, Witchcraft-13
102 tone equal modes:
9 11 11 9 11 9 11 11 9 11	Echidnic-10
9 5 9 9 5 9 5 9 5 9 9 5 9 5	Hedgehog-14
10 7 10 7 10 7 10 7 10 7 10 7	Hexe-12
7 7 12 7 12 7 12 7 12 7 12	Kumonga-11
7 7 7 11 7 7 7 7 7 7 7 7 7 7	Nautilus-14
15 15 4 15 15 4 15 15 4	Oodako-9
103 tone equal modes:
8 9 9 8 9 8 9 8 9 9 8 9	Meantone Chromatic (3/22-comma)
10 10 10 10 10 10 10 10 10 13	Miracle-10
10 10 10 10 10 10 10 10 10 3 7 3	Miracle-12
7 7 7 12 7 7 7 7 7 7 7 7 7 7	Nautilus-14
11 11 11 5 11 11 11 5 11 11 5	Sensi-11
4 15 4 4 15 4 15 4 4 15 4 15	Superpyth-12
104 tone equal modes:
11 7 7 11 7 11 7 11 7 7 11 7	Twelve-tone Chromatic (2/23-comma positive)
9 9 9 16 9 9 9 9 16 9	Diaschismic-10
9 9 9 7 9 9 9 9 9 7 9 9	Diaschismic-12
28 5 28 5 28 5 5	Magic-7
23 5 5 5 23 5 5 23 5 5	Magic-10
18 5 5 5 18 5 5 5 18 5 5 5 5	Magic-13
105 tone equal modes:
7 10 10 7 10 7 10 7 10 10 7 10	Meantone Chromatic (2/9-comma), Rossi-12
17 17 5 17 5 17 5 17 5	Godzilla-9
12 5 12 5 5 12 5 5 12 5 5 12 5 5	Godzilla-14
106 tone equal modes:
9 8 9 9 9 9 9 8 9 9 9 9	Bischismic-12
5 5 14 5 5 5 14 5 5 14 5 5 5 14	Fleetwood-14
9 7 7 9 7 7 7 9 7 7 9 7 7 7	Hemiamity-14
8 8 8 8 8 5 8 8 8 8 8 8 5 8	Injerous-14
11 23 10 18 11 23 10	Makam Suzinak II
18 11 26 7 18 8 8 10	Makam Nikriz
11 23 10 18 11 23 10	Makam Hicazkar I-Kadim
11 23 10 18 11 26 7	Makam Hicazkar
14 5 7 11 7 18 8 8 10 18	Makam Isfahan II
14 2 10 18 11 23 10 18	Makam Karcigar
14 2 10 18 11 5 10 8 10 18	Makam Araban
14 2 10 3 15 11 7 8 3 15 11 7	Makam Hisar
11 15 18 18 8 18 18	Makam Kurdi
11 26 7 18 8 8 10 18	Makam Hicaz
11 26 7 18 8 18 18	Makam Humayun
11 26 7 18 8 3 15 11 7	Makam Sahnaz
19 7 18 18 8 3 15 11 7	Makam Buselik
19 15 10 18 16 10 8 10	Makam Nisaburek
10 18 11 23 10 18 8 8	Makam Huzzam
18 7 18 8 11 7 18 11 8	Makam Nisabur
107 tone equal modes:
6 11 11 6 11 6 11 6 11 11 6 11	Meantone Chromatic (4/13-comma)
11 2 11 11 2 11 11 2 11 11 11 2 11	Laz-13
9 9 9 8 9 9 9 9 9 9 9 9	Ripple-12
17 17 17 17 17 17 5	Spell-7
12 5 12 5 12 5 12 5 12 5 12 5 5	Spell-13
17 7 7 17 7 7 7 17 7 7 7	Squares-11
10 7 7 7 10 7 7 7 7 10 7 7 7 7	Squares-14
108 tone equal modes:
10 8 10 7 10 8 10 10 7 10 8 10	"Just" Chromatic
4 8 33 4 8 33 18	Ratio 1:2 Soft Chromatic Mixolydian
8 33 4 8 33 18 4	Ratio 1:2 Soft Chromatic Lydian
33 4 8 33 18 4 8	Ratio 1:2 Soft Chromatic Phrygian
4 8 33 18 4 8 33	Ratio 1:2 Soft Chromatic Dorian
8 33 18 4 8 33 4	Ratio 1:2 Soft Chromatic Hypolydian
33 18 4 8 33 4 8	Ratio 1:2 Soft Chromatic Hypophrygian
18 4 8 33 4 8 33	Ratio 1:2 Soft Chromatic Hypodorian
11 17 7 21 7 17 11 17	Smith's Nova
7 21 7 21 7 17 11 17	Smith's Star
7 7 7 7 7 7 7 7 7 7 7 10 7 7 7	Valentine-15
109 tone equal modes:
12 7 7 12 7 12 7 12 7 7 12 7	Twelve-tone Chromatic (1/8-comma positive), Leapweek-12
10 9 10 6 10 9 10 10 6 10 9 10	"Just" Chromatic
8 8 8 8 8 8 8 8 8 8 8 8 8 5	Octacot-14
7 7 7 7 7 7 7 7 7 7 7 11 7 7 7	Tertiaseptal-15
16 16 16 16 16 16 13	Tetracot-7
3 13 3 13 3 13 3 13 13 3 13 3 13	Tetracot-13
110 tone equal modes:
21 13 21 21 13 21	Lemba-6
13 8 13 8 13 13 8 13 8 13	Lemba-10
13 4 13 4 13 4 4 13 4 13 4 13 4 4	Secant-14
7 11 7 7 7 11 7 7 7 7 11 7 7 7	Sentinel-14
18 7 7 18 7 7 7 18 7 7 7	Squares-11
11 7 7 7 11 7 7 7 7 11 7 7 7 7	Squares-14
111 tone equal modes:
11 8 8 11 8 11 8 11 8 8 11 8	Twelve-tone Chromatic (1/29-comma positive), Shrirag-12
10 9 10 7 10 9 10 10 7 10 9 10	"Just" Chromatic
20 20 11 20 20 20	Machine-6
9 11 9 11 9 11 9 11 9 11 11	Machine-11
9 9 10 9 9 9 10 9 9 9 10 9	Misty-12
11 7 11 7 7 11 7 11 7 7 11 7 7	Semisept-13
12 12 12 5 12 12 12 5 12 12 5	Sensi-11
112 tone equal modes:
7 11 11 7 11 7 11 7 11 11 7 11	Meantone Chromatic (7/27-comma), Meanpop-12
5 18 5 5 18 5 5 18 5 5 18 5	Blackbirds-12
9 9 9 9 9 11 9 9 9 9 9 11	Injera-12
9 9 9 9 9 9 2 9 9 9 9 9 9 2	Injera-14
9 7 9 7 9 7 9 7 9 7 9 7 9 7	Septimal-14
11 8 11 11 11 8 11 11 8 11 11	Stacks-11
13 7 13 13 7 13 13 13 7 13	Suhajira-10
113 tone equal modes:
10 9 9 10 9 10 9 10 9 9 10 9	Meantone Chromatic (1/20-comma), Melkis-12
17 15 17 15 17 17 15	Amity-7
8 8 13 8 13 8 13 8 13 8 13	Kumonga-11
11 11 11 11 11 11 11 11 11 14	Miracle-10
11 11 11 11 11 11 11 11 11 3 8 3	Miracle-12
5 14 14 5 14 14 14 5 14 14	Mohajira-10
114 tone equal modes:
13 7 7 13 7 13 7 13 7 7 13 7	Twelve-tone Chromatic (2/13-comma positive)
10 10 10 7 10 10 10 10 10 7 10 10	Diaschismic-12
11 8 11 8 11 8 11 8 11 8 11 8	Hexe-12
115 tone equal modes:
9 10 10 9 10 9 10 9 10 10 9 10	Meantone Chromatic (3/23-comma), Preston-12
15 11 15 11 15 11 15 11 11	Orwell-9
4 11 11 4 11 11 4 11 11 4 11 11 11	Orwell-13
17 7 7 7 7 7 7 7 7 7 7 7 7 7 7	Slurpee-15
7 16 7 16 7 16 7 16 7 16	Trisedodge-10
7 7 9 7 7 9 7 7 9 7 7 9 7 7 9	Trisedodge-15
116 tone equal modes:
5 13 13 5 13 5 13 5 13 13 5 13	Meantone Chromatic (7/17-comma)
11 9 11 6 11 9 11 11 6 11 9 11	"Just" Chromatic
5 13 13 5 13 5 13 13 5 13 5 13	Flattone-12
13 11 11 13 11 11 13 11 11 11	Submajor-10
17 17 17 17 17 17 14	Tetracot-7
3 14 3 14 3 14 3 14 14 3 14 3 14	Tetracot-13
117 tone equal modes:
8 11 11 8 11 8 11 8 11 11 8 11	Meantone Chromatic (4/19-comma), Meridetone-12
4 15 15 4 15 15 4 15 15 15	Migration-10
4 15 15 4 15 15 15 4 15 15	Mohajira-10
21 16 16 16 16 16 16	Porky-7
118 tone equal modes:
11 9 9 11 9 11 9 11 9 9 11 9	Meantone Chromatic (1/83-comma), Helmholtz-12
11 9 11 7 11 9 11 11 7 11 9 11	"Just" Chromatic
10 9 10 10 10 10 10 9 10 10 10 10	Bischismic-12
5 22 5 22 5 5 22 5 22 5	Doublewide-10
5 5 17 5 5 17 5 5 5 17 5 5 17 5	Doublewide-14
11 5 11 11 5 11 5 11 5 11 11 5 11 5	Hedgehog-14
19 19 19 19 19 23	Hemithirds-6
19 19 19 19 19 19 4	Hemithirds-7
15 4 15 4 15 4 15 4 15 4 15 4 4	Hemithirds-13
23 23 23 26 23	Rodan-5
20 3 20 3 20 3 20 3 3 20 3	Rodan-11
9 11 9 9 11 9 11 9 9 11 9 11	Schismic-12
17 7 7 7 7 7 7 17 7 7 7 7 7 7	Vishnu-14
119 tone equal modes:
7 12 12 7 12 7 12 7 12 12 7 12	Meantone Chromatic (2/7-comma), Zarlino
10 10 10 9 10 10 10 10 10 10 10 10	Ripple-12
13 13 13 5 13 13 13 5 13 13 5	Sensi-11
120 tone equal modes:
4 23 4 4 23 4 23 4 4 23 4	Myna-11
4 4 19 4 4 4 19 4 4 4 19 4 4 19 4	Myna-15
11 11 11 5 11 11 11 11 11 5 11 11	Pajara-12
121 tone equal modes:
13 8 8 13 8 13 8 13 8 8 13 8	Twelve-tone Chromatic (1/10-comma positive), Leapday-12
11 10 11 7 11 10 11 11 7 11 10 11	"Just" Chromatic
10 17 10 10 17 10 10 17 10 10	Golden-10
10 10 7 10 10 10 7 10 10 10 7 10 10	Golden-13
7 9 7 9 7 9 7 9 7 9 7 9 7 9 9	Hemikleismic-15
7 25 7 25 7 25 25	Kleismic-7
7 7 18 7 18 7 7 18 7 7 18	Kleismic-11
7 7 7 11 7 7 7 11 7 7 7 11 7 7 11	Kleismic-15
19 16 19 16 19 16 16	Ptolemy-7
122 tone equal modes:
9 11 11 9 11 9 11 9 11 11 9 11	Meantone Chromatic (1/6-comma), Evelyne-12
17 5 17 17 5 17 5 17 17 5	Astrology-10
11 11 11 6 11 11 11 11 11 6 11 11	Pajara-12
123 tone equal mode:
18 18 5 18 18 5 18 18 5	Oodako-9
10 7 7 10 7 10 7 7 10 7 10 7 7 10 7	Ternary-15
13 13 8 13 13 8 13 13 8 13 8	Wilson Golden-11
124 tone equal mode:
9 9 9 9 9 8 9 9 9 9 9 9 8 9	Injerous-14
125 tone equal modes:
11 10 10 11 10 11 10 11 10 10 11 10	Meantone Chromatic (1/19-comma)
4 15 15 4 15 4 15 4 15 15 4 15	Meantone Chromatic (1/2-comma)
12 9 12 7 12 9 12 12 7 12 9 12	"Just" Chromatic
23 23 5 23 23 5 23	Iranian Diatonic
7 7 7 12 7 7 7 12 7 7 7 12 7 7 12	Catakleismic-15
12 9 12 7 12 9 12 12 12 4 12 12	Marvel-12
126 tone equal modes:
7 13 13 7 13 7 13 7 13 13 7 13	Meantone Chromatic (5/16-comma)
11 4 11 11 4 11 11 11 4 11 11 4 11 11	Anguirus-14
17 6 17 17 6 17 6 17 17 6	Astrology-10
11 11 11 8 11 11 11 11 11 8 11 11	Diaschismic-12
127 tone equal mode:
10 11 11 10 11 10 11 10 11 11 10 11	Meantone Chromatic (4/31-comma)
128 tone equal modes:
13 9 9 13 9 13 9 13 9 9 13 9	Twelve-tone Chromatic (1/18-comma positive)
12 10 12 7 12 10 12 12 7 12 10 12	"Just" Chromatic
20 17 20 17 20 17 17	Ptolemy-7
25 25 25 28 25	Rodan-5
22 3 22 3 22 3 22 3 3 22 3	Rodan-11
130 tone equal modes:
4 9 9 9 9 9 9 9 9 9 9 9 9 9 9	Belauensis-15
11 10 11 11 11 11 11 10 11 11 11 11	Bischismic-12
131 tone equal modes:
8 13 13 8 13 8 13 8 13 13 8 13	Golden Meantone Chromatic
21 17 21 17 21 17 17	Mohaha-7
133 tone equal modes:
14 9 9 14 9 14 9 14 9 9 14 9	Twelve-tone Chromatic (1/12-comma positive)
13 13 13 13 13 13 13 13 13 16	Miracle-10
13 13 13 13 13 13 13 13 13 3 10 3	Miracle-12
135 tone equal modes:
13 10 10 13 10 13 10 13 10 10 13 10	Twelve-tone Chromatic (1/80-comma positive)
13 10 13 7 13 10 13 13 7 13 10 13	"Just" Chromatic
10 13 10 10 13 10 13 10 10 13 10 13	Schismic-12
136 tone equal mode:
9 13 13 9 13 9 13 9 13 13 9 13	Meantone Chromatic (5/22-comma), Wallaby-12
137 tone equal modes:
12 11 11 12 11 12 11 12 11 11 12 11	Meantone Chromatic (1/18-comma)
13 10 13 8 13 10 13 13 8 13 10 13	"Just" Chromatic
18 13 18 13 18 13 18 13 13	Orwell-9
5 13 13 5 13 13 5 13 13 5 13 13 13	Orwell-13
138 tone equal modes:
4 21 21 4 21 21 4 21 21	Terrain-9
4 17 4 17 4 4 17 4 17 4 4 17 4 17 4	Terrain-15
139 tone equal modes:
11 12 12 11 12 11 12 11 12 12 11 12	Meantone Chromatic (1/8-comma)
9 9 9 9 9 9 9 9 9 9 9 13 9 9 9	Valentine-15
140 tone equal modes:
13 11 13 8 13 11 13 13 8 13 11 13	"Just" Chromatic
7 17 17 7 17 17 7 17 17 17	Hemififths-10
8 29 8 29 8 29 29	Kleismic-7
8 8 21 8 21 8 8 21 8 8 21	Kleismic-11
8 8 8 13 8 8 8 13 8 8 8 13 8 8 13	Kleismic-15
9 9 9 9 9 9 9 9 9 9 9 14 9 9 9	Tertiaseptal-15
12 12 11 12 12 11 12 12 11 12 12 11	Undim-12
141 tone equal modes:
10 13 13 10 13 10 13 10 13 13 10 13	Meantone Chromatic (4/21-comma)
5 18 18 5 18 18 18 5 18 18	Mohajira-10
9 14 9 9 9 14 9 9 9 9 14 9 9 9	Sentinel-14
142 tone equal modes:
13 11 11 13 11 13 11 13 11 11 13 11	Meantone Chromatic (1/39-comma), Photia-12
14 9 14 9 9 14 9 14 9 9 14 9 9	Semisept-13
143 tone equal mode:
9 14 14 9 14 9 14 9 14 14 9 14	Meantone Chromatic (19/75-comma)
144 tone equal modes:
8 13 13 8 13 8 13 13 8 13 13 8 13	Phi-12
7 7 19 7 19 7 19 7 7 19 7 19	Quasisuper-12
145 tone equal modes:
8 15 15 8 15 8 15 8 15 15 8 15	Meantone Chromatic (6/19-comma), Meanenneadecal-12
22 19 22 19 22 22 19	Amity-7
146 tone equal mode:
11 13 13 11 13 11 13 11 13 13 11 13	Meantone Chromatic (2/13-comma)
147 tone equal modes:
14 11 11 14 11 14 11 14 11 11 14 11	Twelve-tone Chromatic (1/251-comma positive), Schism-12
14 11 14 8 14 11 14 14 8 14 11 14	"Just" Chromatic
25 22 25 25 25 25	Baldy-6
22 3 22 3 22 3 22 22 3 22 3	Baldy-11
148 tone equal modes:
11 13 13 11 13 13 11 13 13 11 13 13	Bidia-12
13 16 16 13 16 13 16 16 13 16	Echidnic-10
5 19 19 5 19 19 5 19 19 19	Migration-10
149 tone equal modes:
13 12 12 13 12 13 12 13 12 12 13 12	Meantone Chromatic (1/17-comma)
14 11 14 9 14 11 14 14 9 14 11 14	"Just" Chromatic
150 tone equal mode:
11 11 11 11 11 11 11 11 11 11 11 11 11 7	Morrison Octacot-14
151 tone equal mode:
12 13 13 12 13 12 13 12 13 13 12 13	Meantone Chromatic (1/8-comma)
152 tone equal modes:
15 11 11 15 11 15 11 15 11 11 15 11	Twelve-tone Chromatic (1/32-comma positive), Kwai-12
14 12 14 9 14 12 14 14 9 14 12 14	"Just" Chromatic
23 20 23 20 23 23 20	Amity-7
11 15 11 11 15 11 15 11 11 15 11 15	Schismic-12
13 13 12 13 13 12 13 13 12 13 13 12	Undim-12
22 9 9 9 9 9 9 22 9 9 9 9 9 9	Vishnu-14
153 tone equal mode:
11 14 14 11 14 11 14 11 14 14 11 14	Meantone Chromatic (2/11-comma), Silbermann-12
155 tone equal mode:
17 10 10 17 10 17 10 17 10 10 17 10	Twelve-tone Chromatic (3/25-comma positive)
159 tone equal mode:
13 13 16 9 16 11 14 15 11 16 9 16	Yarman-12
161 tone equal modes:
14 13 13 14 13 14 13 14 13 13 14 13	Meantone Chromatic (1/16-comma)
15 12 15 10 15 12 15 15 10 15 12 15	"Just" Chromatic
162 tone equal mode:
15 13 15 9 15 13 15 15 9 15 13 15	"Just" Chromatic
164 tone equal mode:
15 13 15 10 15 13 15 15 10 15 13 15	"Just" Chromatic
166 tone equal modes:
15 13 13 15 13 15 13 15 13 13 15 13	Meantone Chromatic (1/29-comma)
16 12 16 9 16 12 16 16 16 5 16 16	Marvel-12
28 25 28 25 28 32	Hecatehex
171 tone equal modes:
16 13 13 16 13 16 13 16 13 13 16 13	Meantone Chromatic (1/107-comma), Pontiac-12
16 13 16 10 16 13 16 16 10 16 13 16	"Just" Chromatic
13 16 13 13 16 13 16 13 13 16 13 16	Schismic-12
14 14 15 14 14 14 15 14 14 14 15 14	Term-12
5 26 26 5 26 26 5 26 26	Terrain-9
5 21 5 21 5 5 21 5 21 5 5 21 5 21 5	Terrain-15
11 11 11 11 11 11 11 11 11 11 11 17 11 11 11	Tertiaseptal-15
176 tone equal modes:
17 13 13 17 13 17 13 17 13 13 17 13	Twelve-tone Chromatic (1/68-comma positive)
16 14 16 11 16 14 16 16 11 16 14 16	"Just" Chromatic
177 tone equal modes:
13 16 16 13 16 13 16 13 16 16 13 16	Meantone Chromatic (9/53-comma)
20 11 11 20 11 20 11 20 11 11 20 11	Twelve-tone Chromatic (1/7-comma positive)
13 13 13 13 13 13 13 13 13 13 13 13 13 8	Octacot-14
180 tone equal mode:
8 29 8 8 29 8 8 29 8 8 29 8	Blackbirds-12
181 tone equal mode:
17 14 17 10 17 14 17 17 10 17 14 17	"Just" Chromatic
183 tone equal modes:
17 14 14 17 14 17 14 17 14 14 17 14	Meantone Chromatic (1/68-comma), Countermeantone-12
17 14 17 11 17 14 17 17 11 17 14 17	"Just" Chromatic
15 15 16 15 15 15 16 15 15 15 16 15	Term-12
185 tone equal mode:
19 10 19 12 17 19 12 17 12 19 17 12	Novadene
190 tone equal modes:
18 14 18 11 18 14 18 18 11 18 14 18	"Just" Chromatic
37 24 37 13 37 5 37	Maxx
24 13 24 13 5 32 5 24 13 24 13	Septicyc
13 24 13 24 18 24 13 24 13 24	Suzz
197 tone equal modes:
17 16 16 17 16 17 16 17 16 16 17 16	Meantone Chromatic (1/15-comma), Minsys-12
44 19 19 33 11 33 19 19	Alpharab
19 14 19 11 19 14 19 19 11 22 11 19	BlueJI
14 19 11 19 19 14 19 19 11 14 18 20	Hexy
11 11 11 19 11 11 11 19 11 11 11 19 11 11 19	Catakleismic-15
19 44 19 33 19 44 19	Major Gipsy, Double Harmonic Major
200 tone equal modes:
19 15 15 19 15 19 15 19 15 15 19 15	Twelve-tone Chromatic (1/478-comma positive)
19 15 19 11 19 15 19 19 11 19 15 19	"Just" Chromatic
202 tone equal mode:
20 39 6 39 14 39 6 39	Oktone
205 tone equal modes:
13 20 13 20 13 20 20 13 20 13 20 20	Meantone Chromatic (1/4-comma)
19 16 19 12 19 16 19 19 12 19 16 19	"Just" Chromatic
31 27 31 27 31 31 27	Amity-7

226. PERCEIVING THE STANDARDLY TUNED 6-STRING GUITAR AS TWO INSTRUMENTS: A BASS AT THE LOWER 4 STRINGS AND A BARITONE UKULELE AT THE HIGHER 4 STRINGS. THE TRIAD-CHORDS OF THESE BASS AND UKULELE. .

We have mentioned before the power that the triad-chords have in playing and unlocking the full fretboard of an instruments like ukulele, Bouzouki, Bass etc

We apply it here in understanding the standard tuning of the 6-string guitar as an hybrid of a bass (at the lower 4 strings) for bass-melodic -lines and baritone ukulele at the higher 4 strings for easy and plenty many triad-chord shapes.

225. THE GENEALOGY OF 7, 6 ,5, NOTES SCALES THAT CONTAIN THE POWER-5 CHORD AND ARE MADE FROM TETRACHORDS OF A 4TH AND PENTACHORDS OF A 5TH. THE CHROMATIC, DIATONIC AND ENHARMONIC GENDRES

In ancient Greece according to Aristoxenos, there were 3 musical gendres , the diatonic , the chromatic and enharmonic which were also tetrachords  (total length an interval of 4th)  and pentachords (total legth an interval of 5th and consisting from an initial or final tone and a tetrachord as before) and by combing a tetrachord with a pentachord they got various   7-notes scales inside an octave . In other words the 7-notes scale was of the form Tetrachord1+2+tetrachord2 , in which case it was called two "divorced" tercahords or Tetrachord1+tetrachord2+2 in which case it was called two adjoint tetrachords.  1) the Diatonic  was balanced feelings (that eventually after more than 1 thousand years resulted to the 7-notes diatonic scale, and a simplified rounding of their tetrcahords to a single one was the 2-2-1 and most probably all permutations of it )  the 2) Chromatic  was sad feelings (that eventually after more than 1 thousand years resulted to the 7-notes harmonic minor and double harmonic minor scales, blues scale etc , And a simplified rounding of their tetrachords to a single one was the 3-1-1 nd most probably all permutations of it  ) and 3) the enharmonic  was happy feelings (used major 3rd intervals and a simplified rounding to a single one was the 4-(1/2)-(1/2)) and most probably all permutations of it )  and has many similarities with the Japanese 5-notes scales like the Akebono with interval structure 4 - 2 - 1 - 4 - 1 e.g. at the mode 2-1-4-1-4  e.g. A B C E F A. (See e.g. the video https://www.youtube.com/watch?v=vv7CO-nVFj8 ) 

In Ancient Greece, Byzantine and middle east, the 7-notes scales were created by combining 4-notes (tetrachords) that have total length an interval of 4th and 5-notes (pentachords) that have total length and interval of 7th. In this way all  such 7-notes scales contain the power-5 chord 1-5-1' (e.g. C3-G3-C4).

The representation of such tetrachords and pentachords can be with the sequence of intervals in semitones. Thus to find all of them is in mathematical terminology to find all partitions of 5 in ti 3 numbers (having sum 5) and all partitions of 7 in to 4 numbers (having sum 7).

The solutions is the next

ALL 6 TETRACHORDS

DIATONIC GENDRE (FAMILY)

(containing only 2 and 1)

2-2-1  syntono major  , Ionian/mixolydian (known also as Rast/Tsargiak/Mahour)

1-2-2  syntono minor  , Phrygian/Locrian (known also as Qurdi)

2-1-2   minor, Dorian/Aeolian (known also as Bousselik/Nichavent/Ousak)

CHROMATIC GENDRE (FAMILY)

(containing 3)

1-3-1   2nd chromatic  (known also as Hijaz)

1-1-3    parachromatic tonal

3-1-1    1st chromatic

ENHARMONIC GENDRE (FAMILY)

1/2-1/2-4
1/2-4-1/2
4-1/2-1/2

ALL 20 PENTACHORDS

All pentachords contain a single power-5 chord that power-5 chord which is defined by the end-notes of the pentachord.

THE DIATONIC FAMILY
(containing only 2, and 1)

2-2-2-1       Major Lydian    Contains a major chord (known also as Natzi/Zaouil)
2-2-1-2        Major Ionian/Mixolydian    Contains a major chord.(known also as Rast/Mahour)
2-1-2-2       Minor Dorian    Contains a minor chord (known also as Bousselik/Nichavent)
1-2-2-2       Minor Frygian/Aeolian    Contains a minor chord (known also as Qourdi)


THE CHROMATIC FAMILY
(containing  3 )

1-1-3-2
1-1-2-3
1-3-2-1   Contains a major chord and a diminished chord
1-2-3-1   Contains a minor chord and a diminished chord
1-2-1-3   Contains a minor chord and a diminished chord
1-3-1-2   Contains a major chord and a diminished chord (known also as Hijaz)
3-2-1-1    Contains  a diminished chord
2-3-1-1
3-1-2-1   Contains a major chord and a diminished chord
2-1-3-1   Contains a minor chord and a diminished chord (known also as Nevesser/Nikriz)
3-1-1-2   Contains a major chord (known also as Saz-kar)
2-1-1-3   Contains a minor chord (known also as Samba)


THE ENHARMONIAN GENDRE (FAMILY)
(containing  4 )

1-1-1-4   Contains a minor chord
1-1-4-1
1-4-1-1
4-1-1-1   Contains a major chord


By combining a treachord and a pentachord we get a 7-notes scale. We remind the reader that in this book by scale we mean a sequence of notes giving an octave and all cyclic permutations of them are considered the same scale but also 7 different modes of it.

As a rough estimation of an upper bound on the number of the scales of this genealogy we calculate that if x is the number of different such scales then x<=6*20*2*2=480, because we will combine 6 tetrachords with 18 pentachords thus 6*20=120 such combinations, but also combining first 18 pentachords and then 6 tetrachords will give twice as many, thus 6*2*20=240 . And by taking also the inverse order on all notes of them at most  6*20*2*2=480 scales. Of course some of them will turn out to be simply modes (cyclic permutations ) of some previous or next, thus 480 is an upper bound not an exact number.

In this way we can get the next scale

1) The diatonic
2) The harmonic minor
3) The inverse of the harmonic minor
4) The Neopolitan minor scale
5) The inverse of the Neopolitan minor  scale
6) The double harmonic minor
7) The melodic minor
8) The double melodic minor or Arabic scale or Neopolitan major
9) Parachromatic Byzantine scale (1-1-3-2-1-1-3)
10) Inverse parachromatic Byzantine
11) Debussy's 7-tonic (2-1-1-1-1-3-3) .
etc

Modes of the above 1-8 scales include the Byzantines minor and Byzantine double minor , Hungarian minor, Gypsy major and minor, Rast scale, Nikriz scale, Hitzaz scale, Hitzaskar scale , Nihavent scale, Neveser scale, 7-notes Sambach scale, Ousak scale , Qurdi scale , kartzigiar scale etc


Some japanese folk scales

Also arabic scales (projected in the Bach equally temperament  12-notes chromatic scale ) under the names  Shouzinak , Housam, Shegiach , Moustaar  , Persian or todi theta scale, the Enigmatic scale,
Debussy's 7-tonic (2-1-1-1-1-3-3) etc
 etc

See also post 21.

And many more beautiful scales that are not known with any name!

In ancient Greece according to Aristoxenus the tetrachords where 6 and of 3 generations.

They divided the semitone in to 6 equal segments, or the octave in to 72 segments or the pure 4th in to 30 segments.

Then the tetrachords were the next (the integers are Aristoxenus segments)

ENHARMONIC  GENDRE

3-3-24  or semitone/2 -- semitone/2 --2 tones

CHROMATIC GENDRE

Soft 4-4-22  or 1/3 tone 1/3 tone  22 segments

4.5 -4.5 -21


tonal   6-6-18  or 1 semitone 1 semitone 3 semitones

DIATONIC GENDRE

uniform  6-9-15 

syntono  6-12-12

Now two tetrachords make a scale of an octave in two ways 

The disjunctive way  = tetrachord+1tone+tetrachord=5+2+5 semitones=12 semitones

Or the adjoint way = tetrachord+tetrachord+1 tone=5+5+2 semitones=12 semitones

E.g. syntono+1tone+syntono=diatonic scale lydian mode
or syntono+syntono+1tone=diatonic scale Locrian mode

or tonal+tonal+1tone=6-6-18-6-6-18-12 which is a mode ofthe by now known as inverse persian todi theta scale 
The same with the tonal+1tone+tonal.

etc

See also post 227


For reasons of completeness we enumerate here the trichords which are of length an interval of 3rd.

All of them are of the DIATONIC FAMILY

1-2

2-1

2-2 


OF SCPECIAL INTEREST IS THE 7-NOTE SCALE 2-2-1-2-1-2-2 E.G. C-D-E-F-G-G#-Bb-C WHICH IS DERIVED FROM THE FIRST 13 OVERTONES HARMONIC SERIES IN A NATURAL TRUMPET.   AND IT IS  CONSTRUCTED FROM THE 4-CHORD 2-2-1 AND THE 5-CHORD 2-1-2-2. IT IS THE MELODIC MINOR OR ACOUSTIC OVERTONES SCALE IF THE 7NTH HARMONIC E.G. IN C-D-E-F-G-G#-B-C  if we interprete the 7nth overtone as B rather than Bb. BUT It is the inverse 7-notes scale of the first 13 overtones e.g. in a string or natural trumpet C-D-E-F-G-G#-B-C if we perceive THE 7NTH HARMONIC AS   B


ALL 7-NOTES SCALES OF THE ENHARMONIC GENDRE BY COMBINING A DIATONIC TETRACHORD WITH AN ENHARMONIC PENTACHORD

2-2-1-1-1-1-4
2-2-1-4-1-1-1
2-2-1-1-4-1-1
2-2-1-1-1-4-1

1-2-2-1-1-1-4
1-2-2-4-1-1-1
1-2-2-1-4-1-1
1-2-2-1-1-4-1

2-1-2-1-1-1-4
2-1-2-4-1-1-1
2-1-2-1-4-1-1
2-1-2-1-1-4-1

ALL 6-NOTES (ENHARMONIC GENDER)  SCALES THAT CONTAIN THE POWER-5 CHORD AND AT LEAST ONE MAJOR 3RD INTERVAL

Many of  the irish melodies belong to such scales!

Because the power chord is contained, then there must exist an interval of 4th and an interval of 5th. If the interval of 4th contains a major 3rd then the only solutions are

4-1, 1-4 . Otherwise the interval of major 3rd must be contained inside the interval of 5th, and thus we have the 5-chords of the enharmonic gender


1-1-1-4   Contains a minor chord
1-1-4-1
1-4-1-1
4-1-1-1   Contains a major chord

In total we enumerate at first all such scales with 2 major 3rd intervals

1) 4-1-1-1-1-4
2) 1-4-1-1-1-4 
3) 1-1-4-1-1-4

If there is only one major 3rd interval (4 semitones) 

Then we combine the 1-4 , 4-1 with any 5-chord in the diatonic or chromatic gender

4) 1-4-2-2-2-1
5) 1-4-2-2-1-2
6) 1-4-2-1-2-2 
7) 1-4-1-2-2-2  
8) 1-4-1-1-3-2
9) 1-4-1-3-2-1 
10) 1-4-1-2-3-1
11)  1-4-1-2-1-3 
12)  1-4-1-3-1-2
13) 1-4-2-3-1-1
14) 1-4-3-1-2-1
15) 1-4-2-1-3-1
16) 1-4-3-1-1-2
17) 1-4-2-1-1-3 

18) 4-1-2-2-1-2
19) 4-1-2-1-2-2  
20) 4-1-1-2-2-2  
21) 4-1-1-1-3-2
22) 4-1-1-2-3-1
23)  4-1-1-2-1-3 
24) 4-1-3-1-1-2
25) 4-1-2-1-1-3 

Among these 25 scales we filter the combinationof diatonic 4-chords and only one major third
thus haveing the 7 diatonic-enharmonic hexatonic scales

I have seydel harmonicas with these dtaitonic-enharmonic hexatonic scales

4) 1-4-2-2-2-1 (HEX ARABIC OR HEX NEAPOLITAN MAJOR 1M =inverse of 20) ) 
5) 1-4-2-2-1-2 (HEX MELODIC MINOR 1M-2d  inverse of 19))
6) 1-4-2-1-2-2 (HEX DIATONICENHARMONIC 1m-2d)
7) 1-4-1-2-2-2  (HEX AKEBONO-CRETAN 1M-7m)
18) 4-1-2-2-1-2 (HEX ENHARMONIC 1M-7d)
19) 4-1-2-1-2-2  (HEX HMIN ENHARM 1m-7d inverse of 5) )
20) 4-1-1-2-2-2  (HEX ARABIC OR HEX NEAPOLITAN MAJOR   1m)


Among these 25 scales we filter those that contain the 4-3, or 3-4 which is triad chord as with more harmonic sound

Major chord 4-3:

14) 1-4-3-1-2-1
16) 1-4-3-1-1-2
By cyclic permutation we may re-write them as 

14) 4-3-1-2-1-1
16) 4-3-1-1-2-1

Minor chord 3-4:
23)  4-1-1-2-1-3 
25) 4-1-2-1-1-3 

By cyclic permutation we may re-write them as 

23) 3-4-1-1-2-1
25) 3-4-1-2-1-1 


ALL 5-NOTES  SCALES THAT CONTAIN THE POWER-5 CHORD AND AT LEAST ONE MAJOR 3RD (4 SEMITONES)

This already mean that we know tow notes of the scale . The other 3 

1) All in the lower interval of 5th . Thus a 5-chord as above and then an interval of  4th or 5 semitones. 

1) 1-1-1-4 -5
2) 1-1-4-1-5
3) 1-4-1-1-5
4) 4-1-1-1 -5

2) All in the upper interval of 4th . Thus a 4-chord as above as as upper 3 notes and as lower notes the  3-4, 4-3 E.g.

5) 4-3-2-2-1 Known in this blog as the inverse maximal harmonic 5-tonic scale (see post 117  and 204 )
6) 4-3-1-2-2
7) 4-3-2-1-2
8) 4-3-1-3-1 
9) 4-3-1-1-3
10) 4-3-3-1-1

and

11) 3-4-2-2-1
6) 3-4-1-2-2
7) 3-4-2-1-2
8) 3-4-1-3-1 
9) 3-4-1-1-3
10) 3-4-3-1-1

3) 2 notes in the lower interval of 5th 

3-2-2, 2-2-3, 4-2-1, 4-1-2 , 2-1-4, 1-2-4, 3-3-1, 1-3-3, 3-1-3, 1-1-5, 5-1-1, 1-5-1

and one in the upper interval of 4th

2-3, 3-2, 1-4 , 4-1 Thus

11) 3-2-2-4-1
12) 3-2-2-1-4
13) 2-2-3-1-4
14) 2-2-3-4-1 Known also as Greek pentatonic 2-2-3-4-1 (known also as Raga Chitthakarshini)
15) 4-2-1-2-3
16) 4-2-1-3-2
17) 4-2-1-1-4
18) 4-2-1-4-1 known also as the Japanese  Hirajoshi 5-notes scale and In 5-notes scale and Iwato 5-notes scale and as Akebono 5-notes scale
19)  4-1-2-3-2
20) 4-1-2-1-4
21) 4-1-2-4-1
22) 2-1-4-2-3 known also as the Japanese  Insen 5-notes scale 
23) 1-2-4-2-3
24) 1-2-4-3-2
25) 1-2-4-4-1
26) 3-3-1-1-4
27) 3-3-1-4-1
28) 1-3-3-4-1
29) 3-1-3-1-4
30) 3-1-3-4-1
31) 1-1-5-1-4
32) 1-1-5-4-1
33) 5-1-1-1-4
34) 5-1-1-4-1
35) 1-5-1-4-1
36) 1-5-1-1-4

4) 1 note in the lower interval of 5th and 2 notes in the upper interval of 4th

thus 1-6, 6-1 and 1-1-1-2, 1-1-2-1, 1-2-1-1, 2-1-1-1, but none contains 4 , thus no new 5-notes scales.


2-1-4-1-4

224. THE 7 BASIC IMPROVISATIONAL EXERCISES ON A WIND

The 6 basic improvisational exercises on a whistle or  transverse flute or quena (rim blown flutes) or winds with reeds are the next 6


1) Correct covering of holes and scale fingering

2) Overtones awareness and octaves crossing

3) Ornamentations (Cuts or hammers, double cuts, slides (rolling or bends), vibratos, etc)

4) 2,3,4,5 etc Translations (tails or Alankaras)

5) Rotations (or permutations, including arpeggios of chords in 2 octaves and power chords too in 2 octaves and arpeggios or permutations or rotations of vector intervals of 3rd (trichords), 4th (tetrachords) and 5ths (pentachords).

6) Inversions (in pitch or rhythm of small musical themes.

7) Improvisations restricted in a pentachord (as in post 225) and over 3 chords.

We enlarge more on them.  But the next 18+7 videos are very instructive too



A) 18 Videos by Phil (Kerry whistles) 

https://www.youtube.com/watch?v=SQq2dbN5Xsk&list=PLiYGJiKPn5B3RN_xjtQ6ZktWFAg4HWv7Z&index=18


B) 7 Videos by Das (flute maker)

https://www.youtube.com/watch?v=7Ox55nMD9RE

223. MINORIZATION-MAJORIZATION AS A UNIQUE HARMONIC TRANSFORMATION (NEGATIVE--POSITIVE HARMONY) MODULATIONS VERSUS TRANSPOSITIONS OF MELODIES AND HARMONIES

Here it is described why and how the transformation of a song from a major mode diatonic scale to a minor mode diatonic scale (and vice versa) is not just an ordinary change of mode among the 7 possible modes of the diatonic scale (e.g. from the ionina to the aeolian) but a  unique harmonic and melodic transformation.

In the nxt video this transformation from a  major mode to the minor mode (but also as scale modulation) is described under the term negative harmonics.

Do you know beautiful songs written in a Aeolian or minor mode of a diatonic scale? Then try the positive harmony, in other words transform them melodically and harmonically to a major mode and make them happier.

https://www.youtube.com/watch?v=qHH8siNm3ts&t=168s


TRANSCRIPTIONS:
We must discriminate between the concept of transposition transcription  of the  melody and harmony of a song from that of modulation transcription .  A transposition transcription preserves the intervals among the notes of the melody and types of chords and it is played on higher or lower pitch. But a modulation transcription does not preserves the intervals among the notes of the melody neither the types of the underlying chords as it is "translating within the scale" and not within the 12-notes chromatic scale, the melody and its chords starting from a different note of the scale (different mode). Both though require that all the melody (or song) is written in a single scale (or mode) and the transcription is another scale or mode of equal number of notes. 

222. THE 7 MODES OF A DIATONIC SCALE AS TRIADS OF CHORDS

We cannot stress much the importance of triads of chords (but also of notes intervals and scales) in improvisation.

A good application is to realize that as a diatonic scale is characterized as chords on the wheel by 4ths by its 3 chords on the steps 1M, 4M , 5M  (harmonic triplet of chords) ,  OR 7d 1M 2m (chromatic tripler of chords) the same can apply for the modes of the diatonic scale.

The chords of a mode of a diatonic scale at the steps 1,4,5 (or 7,1, 2) of it characterize its mood.

For example for the mixolydian mode of the diatonic scale from C ,(G, A, B , C, D, E, F, G) the chords at the steps 1,4 ,5 are the G, C, Dm) thus the 1, 2, 5 or I, ii, V of the original ionian and are the base of blues jazz.


Based on this perception, the 7 modes of the diatonic scale have the following chord triads:

(that is chords on their 1st 4th and 5th step, and we symbolize by m=minor M=major d=diminsihed.
Based on this perception, the 7 modes of the diatonic scale have the following chord triads:

(that is chords on their 1st 4th and 5th step, and we symbolize by m=minor M=major d=diminsihed.



1. IONIAN  :  HARMONIC TRIPLET (1M, 4M, 5M)
2. DORIAN  : HARMONIC TRIPLET (2m, 5M, 6m)
3. PHRYGIAN : HARMONIC TRIPLET (3m, 6m, 7d)
4. LYDIAN: HARMONIC TRIPLET  (4M, 7d,1M)
5. MIXOLYDIAN: HARMONIC TRIPLET  (5M, 1M,2m)
6. AEOLIAN: HARMONIC TRIPLET (6m, 2m, 3m)
7. LOCRIAN: HARMONIC TRIPLET  (7d, 3m, 4M)

We may clasify them according the the major and minor chords

A.ALL 3 MAJOR CHORDS (ALL HAPPY) 

1. IONIAN  :  HARMONIC TRIPLET (1M, 4M, 5M)

B. 2 MAJORS AND ONE MINOR OR DIMINISHED CHORD (ALMOST HAPPY, ALMOST MAJOR)

4. LYDIAN: HARMONIC TRIPLET  (4M, 7d,1M)

5. MIXOLYDIAN: HARMONIC TRIPLET  (5M, 1M,2m)

C.  2 MINORS (OR DIMINISHED) AND ONE MAJOR  (LITTLE SAD,  ALMOST MINOR )

2. DORIAN  : HARMONIC TRIPLET (2m, 5M, 6m)

7. LOCRIAN: HARMONIC TRIPLET  (7d, 3m, 4M)

D. THREE MINORS OR DIMINISHED (ALL SAD) (ALL MINOR) 

3. PHRYGIAN : HARMONIC TRIPLET (3m, 6m, 7d)

6. AEOLIAN: HARMONIC TRIPLET (6m, 2m, 3m)

We may compare the basic harmonic triplets with the basic chromatic triplets (see also post 322)

1. IONIAN  :  CHROMATIC TRIPLET (7d, 1M, 2m)
2. DORIAN  :  CHROMATIC TRIPLET (1M, 2m, 3m )
3. PHRYGIAN : CHROMATIC TRIPLET(2m,3m, 4M)
4. LYDIAN:  CHROMATIC TRIPLET(3m, 4M, 5M)
5. MIXOLYDIAN: CHROMATIC TRIPLET (4M, 5M, 6m)
6. AEOLIAN:  CHROMATIC TRIPLET (5M, 6m, 7d)
7. LOCRIAN:  CHROMATIC TRIPLET (6m, 7d, 1M)



If we want an ordering of how much "minor" and "sad" or "anxious" is a mode and how much "major" and "happy" or "serene" is a mode based on the ordering d<m<M then we get the next partial ordering (non-linear ordering)

PHRYGIAN<AEOLIAN<DORIAN<MIXOLYDIAN<IONIAN

and

LOCRIAN<DORIAN

LYDIAN<MIXOLYDIAN

But the Locrian and Lydian are not comparable with all the others so as to put all of them in a linear order.

Here is a musicological old qualitative description of it, but the names are not the standard but an older version of them (e. mode V is referred in this table as Lydian , while nowadays is named Mixolydian). To realize about which mode is referenced we must look at the 2nd column with the latin numerals.

Based on this concept it is possible to define tunings  of an harmonica (see post 274 ) with these types of triads of chords so as to improvise with the corresponding harmony on each of the 7 modes!

221. UNLOCKING THE MELODIC AND HARMONIC IMPROVISATION BY UTILIZING TRIADS OF NOTES , INTERVALS , CHORDS AND 3-LEVELS STRUCTURE OF A MELODY

See also posts 217, 216, 214, 208 etc

We enlarge more on it below. It is a generalization of the concept of scale, as a diatonic scale can also be defined by a triad of major (or minor) chords consecutive on the wheel by 4ths.

The triads is the golden middle ground between the extreme simplicity of the one  note ,interval or chord and the more complex combinations of 5 or more notes , intervals or chords.

The simplicity of triad of factors for the melodic action is  mainly the next three factors

1) The triad of polarity (qualitative) of a melodic move (ascending, descending, rotating stationarily or isocratic)

2) The  quantitative  triad of the character of the move :Chromatic, Melodic ,Harmonic

3) The rhythmic pattern of repetitions (e.g. A1 A2 A3 B1)

We remind the reader that in posts 203 and 214 we described a 3-levels structure of melodies which we refresh here:

THE MELODIC IMPROVISATION IS A SEQUENCE OF "ROTATIONS". EACH "ROTATION" HAS THE NEXT 3-LEVEL  RHYTHMIC OR MORPHOLOGICAL STRUCTURE

THE 4 PARTS A1 A2 A3 BI STRUCTURE 

This structure is rhythmic morphological and comes as a pattern from the 15-syllable poetry.

2 lines in a 15-syllables poetry are divided to 4 parts A1 A2 A3 B1, each of the Ai having 4 syllables and the B1 3 syllables. Similarly here in the melody the A1 A2 A3 , B1 are of 2 measures.  Each of the A1 A2 A3 B1 contain at least one melodic theme. If we put the restriction that both the melodic theme and its variations are consisting from intervals that are 2nds in less that 1/3 (=33%) of the cases, then we get an "Irish" but also "south american", melodic/harmonic sound in the melody. The melodic theme of A1 is translated or inverted to that of the A2 and that of the A2 to that of A2. Finally the melodic theme of A3 is mutated to that of B1. The simplicial sub-melody has one note in each measure therefore two notes in each of the A1 A2 A3 B. These two notes signify a MELODIC MOVEMENT (VECTOR) which is the basis of an emotion.  If we superimpose the melody at the first two levels, the detailed improvisational notes of the melodic theme (1st level) and the melodic move or vector of the simplicial submelody (2nd level) we get a new musical entity and concept that we may call WAVING MELODIC VECTOR. The wavings are as in the 7 melodic themes patterns asin post 231. Another classification of them is that they are of 3 classes a) Chromatic (of length an interval of 2nd) b) Melodic (of length an interval of 3rd) c) Harmonic (of length an interval of 5th). The choice in the improvisation of one of these 3 classes is similar to the choice in a chord progression if the chord-transition will me chromatic , melodic or harmonic. Very often the wavings are of diminishing amplitude as we reach the melodic center-end note of it. This is very convenient to have in mind when we improvise because we think that we will move from a persisting note a (melodic center) to a persisting note b (melodic center ) in a scale but with improvisational waving way that we may change each time at willAll the melodic movements of the A1 A2 A3 B make a DOLPHIN WORD (as defined also in post 101, 114 ). Each part A (thus melodic move too) has an underlying chord. The chords of two parts like A1 A2 may be the same or different chords. The melodic move can be also a melodic triad (alternating major minor vector interval of 3rd as in post 208) . The Dolphin word of the "rotation" may be a closed polygon (e.g, triangle) of waving melodic vectors , so that the length of the melodic vector indicates also the length-interval of the waving melodic vector, which may also be the distance as musical interval of the middle notes of the underlying chords, of the melodic move.
This melodic polygone allows for simple and very concise, simple and visually beautiful  methods of writing the improvisation with not less information than the necessary but no more than a minimum too, so that each time we see the written paper and play the melody a different melody will emerge (mainly at the first layer/level of it) while still it will be "the same" song. 

When playing again such an improvisation the simplicial sub melody is repeated (thus the "rotation" A1 A2 A3 B or Dolphin word of it), but the other notes inside the measures that are embellishments may change. All together the "rotations" or Dolphin words make the total melodic phrases of the song. Therefore we have here at least a 3-level structures of the melody a) notes b) melodic moves c) "rotations" or Dolphin words,and in time it is 1, 2^3=8 (2 measures)  and 2^5=32 (A1A2A3B parts).