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Tuesday, May 28, 2019

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

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

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 5Vietnamese ditonic
5 1Warao ditonic: South America
1 2 1 2Messiaen truncated mode 6
2 1 2 1Messiaen truncated mode 6 inverse
1 1 1 1 1 1Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic

7 tone modes:

1 1 2 1 2Thai mode 1
1 2 1 2 1Thai mode 2
2 1 2 1 1Thai mode 3
1 2 1 1 2Thai mode 5
2 1 1 2 1Thai 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 2Patet Lima, Patet Nem, Jawar, Selisir
[1] 1 2 1 1 2Patet Barang
1 2 1 1 2Patet Lima, Nem with Pelog
[1] 1 1 2 1 2Patet Barang with Pelog, Manangis, Slendro Gede, Pengenter 2
[2] 1 1 2 1 2Liwung, Pengenter 1, Pengenter Alit
[3] 1 1 2 1 2Tembung
[4] 1 1 2 1 2Nyorog, Sunaren
[5] 1 1 2 1 2Nyorog handap, Baro
2 1 1 2 1Pelog
1 3 1 1 1Dangsoe
1 2 1 2 1Bem, Pengenter
2 1 2 1 1Miring, Slendro 2
1 1 1 3 1Manyura
1 1 1 1 1 1 1Lebeng
[2] 1 1 2 3Slendro Alit
[1] 1 2 2 2Jegog
[4] 2 1 2 1 1Slendro 1
[1] 2 1 2 1 1Slendro 3
[3] 2 1 2 1 1Slendro 4

8 tone equal modes:

2 1 2 2 1Agmon Diatonic DS1
2 2 1 2 1Father-5

9 tone equal modes:

1 3 1 3 1Symmetrical Pentatonic
3 1 1 3 1Pelog Pancanada: Sunda
3 1 3 1 1Nine tone "Sorog": Sunda
1 2 1 1 2 1 1Pelog Saptanada: Sunda
1 1 1 1 1 1 1 1 1Pelog Nawanada: Sunda
2 1 2 1 2 1August-6
1 1 2 1 1 1 2Pseudo Pelog, Pelogic-7
2 1 2 2 2Noll Pseudo-diatonic

10 tone equal modes:

3 1 2 3 1Pelog Degung: Sunda
3 1 3 2 1Sorog Madenda: Sunda
2 1 1 2 2 1 1Pseudo Rast
2 1 1 2 1 2 1Sethares Neutral, Beatles-7, Dichotic-7
1 2 2 1 2 2Decibel-6
2 1 2 2 1 2Lemba-6
1 1 2 1 1 1 2 1Supersharp-8

11 tone equal modes:

2 1 1 1 2 1 1 1 1Joan-9
2 3 2 2 2Machine-5
2 2 1 2 2 2Machine-6
1 2 2 1 2 1 2Orgone-7
2 2 2 2 1 2Schulter Hexatonic
1 3 1 3 3Sentry-5
1 1 2 1 1 2 1 2Sentry-8
2 1 2 1 2 1 2Superkleismic-7
2 3 1 3 2Swooning Rushes

12 tone modes:

2 10Vietnamese ditonic
5 7Honchoshi: Japan
7 5Niagari: Japan
10 2Warao ditonic: South America
3 2 7Vietnamese tritonic
3 4 5Ute tritonic, Peruvian tritonic 2
4 3 5Raga Malasri, Peruvian tritonic 1
4 5 3Raga Bilwadala
5 2 5Raga Sarvasri, Warao tritonic: South America
5 5 2Sansagari: Japan
6 1 5Raga Ongkari
1 5 1 5Messiaen truncated mode 5
5 1 5 1Messiaen truncated mode 5 inverse
2 4 2 4Messiaen truncated mode 6
4 2 4 2Messiaen truncated mode 6 inverse
1 4 3 4Raga Lavangi, Gowleeswari
2 1 7 2Warao tetratonic: South America
2 2 3 5Eskimo tetratonic (Alaska: Bethel)
3 2 2 5Vietnamese tetratonic
2 3 2 5Genus primum
2 3 3 4Raga Haripriya
2 3 4 3Raga Bhavani
2 4 5 1Raga Sumukam
4 2 5 1Raga Nigamagamini
4 3 3 2Raga Mahathi, Antara Kaishiaki
3 4 3 2Bi Yu: China
5 2 3 2Genus primum inverse
2 3 2 1 4Han-kumoi: Japan, Raga Shobhavari, Sutradhari
2 1 4 1 4Aeolian Pentatonic, Hira-joshi, Kata-kumoi, Yona Nuki Minor: Japan, Tizita Minor (Half tizita): Ethiopia
1 4 2 1 4Hon-kumoi-joshi, Sakura, Akebono II: Japan, Olympos Enharmonic, Raga Salanganata, Saveri, Gunakri (Gunakali), Latantapriya, Ambassel: Ethiopia
1 4 2 3 2Kokin-joshi, Miyakobushi, Han-Iwato, In Sen: Japan, Raga Vibhavari (Revati), Bairagi, Lasaki
1 4 1 4 2Iwato: Japan
2 3 2 2 3Scottish 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 3Major 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 2Suspended 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 2Chaio: China
2 2 2 3 3Kung: China
1 4 2 2 3Altered Pentatonic, Raga Manaranjani II
2 1 2 4 3Raga Abhogi
4 2 1 4 1Lydian Pentatonic, Raga Amritavarshini, Malashri, Shilangi, Batti Lydian: Ethiopia
2 1 2 3 4Raga Audav Tukhari
4 1 4 2 1Raga Bhinna Shadja, Kaushikdhvani, Hindolita
1 2 4 1 4Phrygian Pentatonic, Balinese Pelog, Madenda Modern, Raga Bhupalam, Bhupala Todi, Bibhas
2 2 3 1 4Raga Bhupeshwari, Janasammodini
2 2 1 2 5Raga Budhamanohari
3 2 4 2 1Raga Chandrakauns (modern), Marga Hindola, Rajeshwari
3 2 4 1 2Raga Chandrakauns (Kafi), Surya, Varamu
3 2 3 3 1Raga Chandrakauns (Kiravani)
1 2 3 2 4Raga Chhaya Todi, Locrian Pentatonic 1
1 2 2 3 4Raga Chitthakarshini
2 3 2 4 1Raga Desh, Tcherepnin Major Pentatonic, Nam xuan: Vietnam
1 6 1 3 1Raga Deshgaur
5 2 1 3 1Raga Devaranjani (Devaranji)
3 2 2 3 2Minor 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 3Raga Dhavalashri
4 1 2 4 1Ionian Pentatonic, Raga Gambhiranata, Pelog Degung Modern, Ryukyu: Japan, Vong co: Vietnam, Batti Major: Ethiopia
1 4 2 4 1Raga Gauri
4 1 3 3 1Raga Girija, Bacovia: Romania, Batti Major sharp 5: Ethiopia
2 3 4 1 2Raga Guhamanohari
2 2 3 4 1Raga Hamsadhvani (Hansdhwani, Haunsadhwani)
3 3 2 2 2Raga Harikauns, Chin: China
4 2 3 2 1Raga Hindol (Sunada Vinodini), Sanjh ka Hindol
3 2 1 4 2Raga Jayakauns
4 1 4 1 2Raga Khamaji Durga
3 2 2 1 4Raga Kokil Pancham
1 4 3 3 1Raga Kshanika
1 1 6 3 1Raga Kumarapriya
2 2 2 5 1Raga Kumurdaki (Kumudki)
5 2 2 1 2Raga Kuntvarali (Kuntalavarali)
3 2 3 2 2Blues Minor, Raga Malkauns (Malakosh), Raga Hindola, Man Gong, Quan Ming, Yi Ze, Jiao: China, Shegaye: Ethiopia
4 3 2 2 1Raga Mamata
1 3 3 3 2Raga Manaranjani I
2 5 2 1 2Raga Matha Kokila (Matkokil)
1 3 1 3 4Raga Megharanjani, Syrian Pentatonic
1 3 1 6 1Raga Megharanji
3 1 3 2 3Raga Mohanangi
3 3 1 4 1Raga Multani, Batti mineur
1 1 4 1 5Raga Nabhomani
4 1 2 2 3Raga Nagasvaravali, Raga Mand
3 2 2 4 1Raga Nata, Udayaravicandrika, Madhuranjani
2 2 5 2 1Raga Neroshta
2 3 3 3 1Raga Priyadharshini
2 1 2 2 5Raga Purnalalita, Chad Gadyo: Jewish, Ghana Pentatonic 1, Nando-kyemyonjo: Korea
5 2 2 2 1Raga Puruhutika, Purvaholika
1 1 6 1 3Raga Putrika
1 3 3 2 3Raga Rasika Ranjani, Vibhas (Marva), Scriabin
2 3 4 2 1Raga Rasranjani
1 3 3 1 4Raga Reva, Revagupti, Ramkali, Vibhas (Bhairava)
1 2 4 3 2Raga Rukmangi
3 3 1 3 2Raga Samudhra Priya, Madhukauns (pentatonic)
1 5 1 1 4Raga Saugandhini, Yashranjani
2 1 4 2 3Dorian Pentatonic, Raga Sivaranjini (Shivranjani), Akebono I: Japan
3 4 1 2 2Raga Shailaja, Varini
2 4 1 2 3Raga Shri Kalyan
2 4 3 2 1Raga Shubravarni
2 4 1 4 1Raga Vaijayanti, Hamsanada
4 3 2 1 2Raga Valaji
4 1 2 1 4Raga Zilaf
2 2 3 3 2Dominant Pentatonic
4 1 2 3 2Mixolydian Pentatonic, Nam ai, Oan: Vietnam, Raga Savethri
3 1 2 4 2Locrian Pentatonic 2
3 2 2 2 3Minor added sixth Pentatonic, Kyemyonjo: Korea
2 2 2 2 2 2Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic
2 3 2 2 1 2Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan
2 2 2 3 1 2Prometheus (Scriabin), Mystic, Raga Barbara
1 3 2 3 1 2Prometheus Neapolitan
3 2 1 1 3 2Blues scale I, Raga Nileshwari
1 2 2 3 2 2Ritsu: Japan, Raga Suddha Todi
2 2 1 2 2 3Arezzo Major Diatonic Hexachord, Raga Kambhoji, Devarangini, Sama (Syama), Scottish Hexatonic
2 1 2 2 3 2Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island)
2 2 2 2 3 1Eskimo Hexatonic 2 (Alaska: Point Hope)
2 1 4 2 2 1Hawaiian
2 1 2 1 3 3Pyramid Hexatonic
1 2 1 2 1 5Istrian: Croatia
1 2 2 1 3 3Double-Phrygian Hexatonic
2 1 3 1 4 1Raga Amarasenapriya
2 1 2 4 1 2Raga Bagesri, Sriranjani, Kapijingla, Jayamanohari
1 3 3 1 3 1Raga Bauli
3 1 1 2 3 2Raga Bhanumanjari, Jog
1 2 3 2 2 2Raga Bhavani
2 3 2 1 3 1Raga Bhinna Pancama
2 2 2 1 4 1Raga Caturangini, Ratnakanthi
1 1 4 1 2 3Raga Chandrajyoti
1 3 2 1 1 4Raga Dhavalangam
2 2 1 1 1 5Raga Dipak
1 2 2 2 3 2Raga Gandharavam, Sabai silt: Ethiopia
1 3 1 2 4 1Raga Gaula
2 1 2 3 3 1Raga Ghantana, Kaushiranjani (Kaishikiranjani)
3 2 2 1 2 2Raga Gopikavasantam, Desya Todi, Jayantasri, Phrygian Hexatonic
1 2 3 2 3 1Raga Gurjari Todi
1 3 2 3 2 1Raga Hamsanandi, Marva, Pancama, Puriya, Sohni
2 2 1 4 2 1Raga Hamsa Vinodini
4 1 2 2 2 1Raga Hari Nata, Genus secundum
1 3 2 2 1 3Raga Hejjajji
2 4 1 1 2 2Raga Jaganmohanam
1 4 2 2 2 1Raga Jivantika
3 3 1 3 1 1Raga Jivantini, Gaurikriya
4 2 1 1 2 2Raga Jyoti
1 3 3 1 1 3Raga Kalagada (Kalgada)
1 4 2 1 1 3Raga Kalakanthi
1 3 1 2 2 3Raga Kalavati, Ragamalini
4 1 2 1 2 2Raga Kamalamanohari
1 2 4 1 2 2Raga Kashyapi
4 1 2 2 1 2Raga Khamas, Desya Khamas, Bahudari
2 2 3 2 2 1Raga Kumud, Sankara (Shankara), Prabhati, Lydian Hexatonic
1 3 1 3 3 1Raga Lalita, Sohini, Hamsanandi, Lalit Bhairav
2 2 3 1 3 1Raga Latika
3 3 1 2 1 2Raga Madhukauns (hexatonic)
2 4 1 3 1 1Raga Malarani, Hamsanada
1 3 3 2 1 2Raga Malayamarutam
2 1 4 2 1 2Raga Manavi
1 3 2 1 4 1Raga Mandari, Gamakakriya, Hamsanarayani
3 2 2 2 1 2Raga Manohari, Malavasri
2 2 2 3 2 1Raga Mruganandana
2 3 2 2 2 1Raga Nagagandhari
2 2 1 2 4 1Raga Nalinakanti, Kedaram, Vilasini
2 3 2 1 2 2Raga Navamanohari
2 1 3 2 1 3Raga Neelangi
2 4 1 2 2 1Raga Nishadi
1 4 2 1 3 1Raga Padi
4 1 2 1 3 1Raga Paraju (Paraz, Pharas), Ramamanohari, Sindhu Ramakriya, Kamalamanohari
1 4 2 1 2 2Raga Phenadyuti, Insen, Honchoshi, Niagari: Japan
1 2 2 1 4 2Honchoshi plagal form: Japan
1 3 1 2 1 4Raga Purna Pancama, Malahari, Geyahejjajji, Kannadabangala
2 2 1 4 1 2Raga Rageshri (Rageshwari), Nattaikurinji (Natakuranji)
2 1 3 3 2 1Raga Ranjani, Rangini
3 1 2 1 4 1Raga Rasamanjari
1 4 2 2 1 2Raga Rasavali
1 3 1 4 1 2Raga Rudra Pancama
1 2 4 2 1 2Raga Salagavarali
2 3 2 3 1 1Raga Brindabani Sarang, Megh (Megh Malhar)
2 2 1 3 3 1Raga Sarasanana
2 4 1 2 1 2Raga Sarasvati
4 1 2 1 1 3Raga Saravati (Sharavati)
2 1 3 1 3 2Raga Simharava (Sinharavam), Gopikatilaka
2 1 2 2 4 1Raga Sindhura Kafi
2 2 1 2 3 2Raga Siva Kambhoji, Vivardhini, Andhali
2 1 2 2 2 3Raga Suddha Bangala, Gauri Velavali
1 1 3 3 1 3Raga Suddha Mukhari
1 2 2 2 1 4Raga Suddha Simantini
2 1 3 1 1 4Raga Syamalam
3 2 2 1 3 1Raga Takka
4 1 2 3 1 1Raga Tilang, Savitri, Brindabani Tilang
2 1 4 1 2 2Raga Trimurti
1 3 1 4 2 1Raga Vasanta, Chayavati
1 3 1 3 2 2Raga Vasantabhairavi
2 1 3 1 2 3Raga Vijayanagari
1 1 4 1 4 1Raga Vijayasri
4 2 1 3 1 1Raga Vijayavasanta
1 2 2 3 3 1Raga Viyogavarali
4 2 1 2 1 2Raga Vutari
2 2 2 1 2 3Raga Yamuna Kalyani, Kalyani Keseri, Airavati, Ancient Chinese
1 1 4 1 1 4Messiaen mode 5, Two-semitone Tritone scale
4 1 1 4 1 1Messiaen mode 5 inverse
1 3 1 3 1 3Messiaen truncated mode 3, Prometheus (Liszt)
3 1 3 1 3 1Messiaen truncated mode 3 inverse, Major Augmented, Genus tertium, Raga Devamani
1 2 3 1 2 3Messiaen truncated mode 2
1 3 2 1 3 2Messiaen truncated mode 2, Raga Indupriya, Tritone scale
3 1 2 2 1 3Equal temperaments 3 and 4 mixed
1 2 1 2 4 2Superlocrian Hexamirror
2 1 3 2 3 1Takemitsu Tree Line mode 1
2 1 3 2 2 2Takemitsu Tree Line mode 2
G = Greek, M = Medieval (ecclesiastical)
1 2 2 1 2 2 2G.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 1G.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 2G.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 2G.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 1G.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 2G.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 2G.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 2Chromatic Mixolydian
1 3 1 1 3 2 1Chromatic Lydian, Raga Lalit, Bhankar
3 1 1 3 2 1 1Chromatic Phrygian
1 1 3 2 1 1 3Chromatic Dorian, Mela Kanakangi, Raga Kanakambari
1 3 2 1 1 3 1Chromatic Hypolydian, Purvi That, Mela Kamavardhani, Raga Shri, Pantuvarali, Basant, Kasiramakriya, Suddharamakriya, Puriya Dhanashri, Dhipaka, Pireotikos: Greece
3 2 1 1 3 1 1Chromatic Hypophrygian, Blues scale III
2 1 1 3 1 1 3Chromatic Hypodorian, Relative Blues scale, Raga Dvigandharabushini
2 3 1 1 3 1 1Chromatic Mixolydian inverse
1 1 2 3 1 1 3Chromatic Phrygian inverse
1 1 3 1 1 2 3Chromatic Hypophrygian inverse
3 1 1 3 1 1 2Chromatic Hypodorian inverse
2 1 2 2 2 2 1Melodic Minor ascending, Jazz Minor, Minor-Major, Mela Gaurimanohari, Raga Patdip, Velavali, Deshi(2), Mischung 1, Hawaiian
2 1 2 2 1 3 1Harmonic 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 2Harmonic Minor inverse, Mela Cakravaka, Raga Ahir Bhairav, Bindumalini, Vegavahini, Makam Hicaz, Zanjaran
2 2 1 2 1 3 1Harmonic Major, Mela Sarasangi, Raga Haripriya, Simhavahini, Mischung 2, Ethiopian, Tabahaniotikos: Greece
1 2 1 3 1 2 2Makam Huzzam, Maqam Saba Zamzam, Phrygian flat 4
2 2 1 3 1 2 1Ionian Augmented, Ionian sharp 5
2 2 2 2 1 2 1Lydian Augmented, Lydian sharp 5
1 2 2 1 3 1 2Locrian natural 6, Maqam Tarznauyn
2 2 1 1 2 2 2Major Locrian
2 1 2 1 2 2 2Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5
1 2 1 2 2 2 2Superlocrian, Altered Dominant, Diminished Whole-tone, Locrian flat 4, Pomeroy, Ravel
2 1 2 1 2 3 1Locrian nr.2
1 2 1 2 2 1 3Ultralocrian, Superlocrian Diminished, Mixolydian sharp 1
1 2 2 1 2 1 3Locrian double-flat 7
2 3 1 2 1 2 1Nohkan Flute scale: Japan
2 1 1 3 1 2 2Sabach (Sambah) ascending: Greece
2 1 2 1 3 1 2Dorian flat 5, Blues Heptatonic, Makam Karcigar, Maqam Nahawand Murassah, Kiourdi ascending, Kartzihiar: Greece
3 2 1 1 2 1 2Blues Heptatonic II
2 1 2 1 3 2 1Jeths' mode
1 1 3 2 1 2 2Mela Ratnangi, Raga Phenadyuti
1 1 3 2 1 3 1Mela Ganamurti, Raga Ganasamavarali
1 1 3 2 2 1 2Mela Vanaspati, Raga Bhanumati
1 1 3 2 2 2 1Mela Manavati, Raga Manoranjani
1 1 3 2 3 1 1Mela Tanarupi, Raga Tanukirti
1 2 2 2 1 1 3Mela Senavati, Raga Senagrani, Malini
1 2 2 2 1 3 1Neapolitan Minor, Mela Dhenuka, Raga Bhinnasadjam, Dhunibinnashadjam, Kirvanti, Takka, Maqam Shahnaz Kurdi, Hungarian Gipsy
1 2 2 2 2 2 1Neapolitan Major, Lydian Major, Mela Kokilapriya, Raga Kokilaravam, Heptatonia tertia
1 2 2 2 2 1 2Mela Natakapriya, Jazz Minor inverse, Phrygian-Mixolydian, Dorian flat 2, Raga Natabharanam, Ahiri Todi
1 2 2 2 3 1 1Mela Rupavati
1 3 1 1 2 3 1Raga Lalita, Persian, Chromatic Hypolydian inverse, Raga Suddha Pancama
1 3 1 2 1 1 3Mela Gayakapriya, Raga Kalakanti, Gipsy Hexatonic
1 3 1 2 1 2 2Phrygian 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 1Major 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 1Mela Suryakanta, Bhairubahar That, Raga Supradhipam, Sowrashtram, Jaganmohini, Major-Melodic Phrygian, Hungarian Gipsy inverse
1 3 1 2 3 1 1Mela Hatakambari, Raga Jeyasuddhamalavi
2 1 2 1 1 3 2Modified Blues
2 1 2 2 1 1 3Mela Jhankaradhvani, Raga Jhankara Bhramavi
2 1 2 2 3 1 1Mela Varunapriya, Viravasantham
2 2 1 2 1 1 3Mela Mararanjani, Raga Keseri, Major Bebop Heptatonic
2 2 1 2 1 2 2Major-Minor, Melodic Major, Mischung 6, Mixolydian flat 6, Mela Carukesi, Raga Charukeshi, Tarangini, Heptatonia secunda
2 2 1 2 3 1 1Mela Naganandini, Raga Nagabharanam, Samanta
3 1 1 2 1 1 3Mela Yagapriya, Raga Kalahamsa
3 1 1 2 1 2 2Mela Ragavardhani, Raga Cudamani
3 1 1 2 1 3 1Mela Gangeyabhusani, Raga Gangatarangini, Sengiach (Sengah): Greece, Gipsy Hexatonic inverse
3 1 1 2 2 1 2Mela Vagadhisvari, Raga Bhogachayanata, Nandkauns, Ganavaridhi, Chayanata, Bluesy Rock 'n Roll
3 1 1 2 2 2 1Mela Sulini, Raga Sailadesakshi, Raga Trishuli, Houzam: Greece
3 1 1 2 3 1 1Mela Calanata, Raga None, Chromatic Dorian inverse
1 1 4 1 1 1 3Mela Salaga
1 1 4 1 1 2 2Mela Jalarnava
1 1 4 1 1 3 1Mela Jhalavarali, Raga Varali, Jinavali
1 1 4 1 2 1 2Mela Navanitam, Raga Nabhomani
1 1 4 1 2 2 1Mela Pavani, Raga Kumbhini
1 1 4 1 3 1 1Mela Raghupriya, Raga Ravikriya, Ghandarva
1 2 3 1 1 1 3Mela Gavambodhi, Raga Girvani
1 2 3 1 1 2 2Mela Bhavapriya, Raga Bhavani, Kalamurti, Neveseri ascending: Greece
1 2 3 1 1 3 1Todi That, Mela Shubhapantuvarali, Raga Multani, Gamakasamantam, Harsh Minor, Chromatic Lydian inverse, Maqam Athar Kurd
1 2 3 1 2 1 2Mela Sadvidhamargini, Raga Sthavarajam, Tivravahini
1 2 3 1 2 2 1Mela Suvarnangi, Raga Sauviram
1 2 3 1 3 1 1Mela Divyamani
1 3 2 1 1 1 3Mela Dhavalambari, Foulds' Mantra of Will scale
1 3 2 1 1 2 2Mela Namanarayani, Raga Narmada, Pratapa, Harsh Major-Minor
1 3 2 1 2 1 2Mela Ramapriya, Raga Ramamanohari, Romanian Major, Petrushka chord
1 3 2 1 2 2 1Marva That, Mela Gamanasrama, Raga Partiravam, Puriya, Puriya Kalyan, Purvikalyani, Sohani, Bairari, Harsh-intense Major, Peiraiotikos: Greece
1 3 2 1 3 1 1Mela Visvambhari, Raga Vamsavathi
1 3 2 2 2 1 1Verdi's Scala enigmatica ascending
1 3 1 3 2 1 1Verdi's Scala enigmatica descending
2 1 2 1 2 1 3Moravian Pistalkova, Hungarian Major inverse
2 1 3 1 1 1 3Mela Syamalangi, Raga Shyamalam
2 1 3 1 1 2 2Minor Gipsy, Ukrainian Dorian, Mela Sanmukhapriya, Raga Camara, Chinthamani
2 1 3 1 1 3 1Double 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 2Mela 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 1Lydian Diminished, Mela Dharmavati, Raga Arunajualita, Dumyaraga, Madhuvanti, Ambika
2 1 3 1 3 1 1Mela Nitimati, Raga Nisada, Kaikavasi
2 2 1 1 3 1 2Minor Gipsy inverse
2 2 2 1 1 1 3Mela Kantamani, Raga Kuntala, Srutiranjani
2 2 2 1 1 2 2Lydian Minor, Mela Risabhapriya, Raga Ratipriya
2 2 2 1 1 3 1Harmonic Lydian, Mela Latangi, Raga Gitapriya, Hamsalata
2 2 2 1 2 1 2Lydian Dominant, Mela Vacaspati, Raga Bhusavati, Bhusavali, Overtone, Lydian-Mixolydian, Bartok
2 2 2 1 3 1 1Mela Citrambari, Raga Chaturangini
2 2 1 4 1 1 1Raga Rageshri
2 3 2 2 1 1 1Raga Sorati, Sur Malhar
3 1 2 1 1 1 3Mela Sucaritra, Raga Santanamanjari
3 1 2 1 1 2 2Mela Jyotisvarupini, Raga Jotismatti
3 1 2 1 1 3 1Mela Dhatuvardhani, Raga Dhauta Pancama, Devarashtra
3 1 2 1 2 1 2Hungarian Major, Mela Nasikabhusani, Raga Nasamani
3 1 2 1 2 2 1Aeolian Harmonic, Lydian sharp 2, Mela Kosalam, Raga Kusumakaram
3 1 2 1 3 1 1Mela Rasikapriya, Raga Rasamanjari, Hamsagiri
3 1 2 2 1 2 1Aeolian flat 1
4 1 2 2 1 1 1Raga Madhuri
1 3 1 1 3 1 2Oriental, Raga Ahira-Lalita, Hungarian Minor inverse, Tsinganikos: Greece
2 2 2 2 2 1 1Leading Whole-tone
1 1 2 2 2 2 2Leading Whole-tone inverse
2 1 1 1 1 3 3Debussy's Heptatonic
1 3 1 1 1 2 2 1Raga Bhatiyar
2 1 3 1 1 1 1 2Raga Cintamani
2 1 2 2 2 1 1 1Raga Mian Ki Malhar, Bahar, Sindhura
2 1 2 2 1 1 1 2Raga Mukhari, Anandabhairavi, Deshi, Manji, Gregorian nr.1, Dorian/Aeolian mixed
1 3 1 1 1 1 3 1Raga Ramkali (Ramakri)
1 3 1 2 1 1 2 1Raga Saurashtra
2 1 1 3 1 2 1 1Sabach (Sambah): Greece
2 1 1 1 2 2 1 2Minor Bebop, Dorian Bebop, Raga Zilla, Mixolydian/Dorian mixed
2 2 1 2 2 1 1 1Genus 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 1Major Bebop, Altered Mixolydian
2 1 2 1 1 2 1 2Blues scale II
2 1 2 1 1 1 3 1Algerian, Sabiren
1 2 1 1 2 1 2 2Spanish Phrygian
1 2 1 1 1 2 2 2Espla's scale, Eight-tone Spanish
1 2 2 1 1 1 3 1Half-diminished Bebop
1 2 2 2 1 1 2 1Neapolitan Major and Minor mixed
1 2 3 1 1 2 1 1Neveseri: Greece
2 1 2 1 2 1 2 1Diminished, Modus conjunctus, Messiaen mode 2 inverse, Whole-Half step scale
2 2 1 1 1 2 2 1Ishikotsucho: 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 1Verdi's Scala enigmatica
2 1 2 2 1 1 2 1Zirafkend: Arabic, Melodic Minor Bebop
1 1 1 2 2 2 1 2Adonai Malakh: Jewish
1 2 1 2 2 1 2 1Magen Abot: Jewish
2 1 2 2 1 2 1 1Maqam Nahawand, Farahfaza, Raga Suha (Suha Kanada), Gregorian nr.4, Utility Minor
1 1 1 2 2 1 3 1Harmonic and Neapolitan Minor mixed
1 3 1 2 1 2 1 1Maqam Hijaz (Hedjaz)
1 2 1 1 1 3 1 2Maqam Shadd'araban
1 2 1 2 1 2 1 2Octatonic, Messiaen mode 2, Dominant Diminished, Diminished Blues, Half-Whole step scale
1 1 1 3 1 1 1 3Messiaen mode 4, Tcherepnin Octatonic mode 3
3 1 1 1 3 1 1 1Messiaen mode 4 inverse, Tcherepnin Octatonic mode 4
1 1 2 2 1 1 2 2Messiaen mode 6
2 2 1 1 2 2 1 1Messiaen mode 6 inverse
1 3 1 1 1 3 1 1Tcherepnin Octatonic mode 1
1 1 3 1 1 1 3 1Tcherepnin Octatonic mode 2
1 1 1 2 2 1 2 2Phrygian/Aeolian mixed
1 2 2 1 1 1 2 2Phrygian/Locrian mixed
1 2 2 2 1 2 1 1Hamel
1 2 2 1 1 2 2 1Van der Horst Octatonic
1 2 2 1 2 2 1 1Prokofiev
1 2 1 2 1 2 2 1Shostakovich
1 2 1 1 2 2 1 2JG Octatonic
2 1 1 2 2 1 1 2Equal temperaments 4 and 6 mixed
1 1 2 1 1 2 1 1 2Messiaen mode 3, Tcherepnin Nonatonic mode 3
2 1 1 2 1 1 2 1 1Messiaen mode 3 inverse, Tcherepnin Nonatonic mode 2
2 1 2 2 1 1 1 1 1Raga Pilu, Full Minor
2 1 1 1 2 2 1 1 1Raga Malgunji, Ramdasi Malhar, Major/Dorian mixed, Blues Enneatonic
2 2 1 2 1 1 1 1 1Raga Pahadi
2 1 1 1 1 1 2 1 2Blues Enneatonic II
2 1 2 1 1 1 1 1 2Kiourdi: Greece
2 2 1 1 1 2 1 1 1Taishikicho, Ryo: Japan, Raga Chayanat, Lydian/Mixolydian mixed
1 1 2 1 2 2 1 1 1Chromatic Bebop
1 1 1 2 1 1 1 2 2Locrian/Aeolian mixed
1 2 1 1 2 1 1 2 1Genus chromaticum, Tcherepnin Nonatonic mode 1, Augmented-9
1 2 1 1 2 1 2 1 1Moorish Phrygian, Phrygian/Double Harmonic Major mixed
1 1 2 1 1 1 2 1 2Youlan scale: China
1 1 1 2 2 1 1 1 2Chromatic and Diatonic Dorian mixed
1 1 2 1 2 1 1 2 1Chromatic and Permuted Diatonic Dorian mixed
2 1 1 1 2 1 1 1 2Houseini: Greece, Modes of Major Pentatonic mixed
1 1 1 1 2 1 1 1 1 2Messiaen mode 7
2 1 1 1 1 2 1 1 1 1Messiaen mode 7 inverse
2 1 1 1 2 1 1 1 1 1Major/Minor mixed
2 1 1 1 1 1 2 1 1 1Minor Pentatonic with leading tones
2 1 1 1 1 1 1 1 2 1Maqam Shawq Afza
1 1 1 1 1 2 1 2 1 1Raga Sindhi-Bhairavi
1 2 1 1 1 1 1 1 1 2Maqam Tarzanuyn
1 1 2 1 1 1 1 2 1 1Symmetrical Decatonic
1 1 1 1 1 1 1 1 1 1 1 1Twelve-tone Chromatic (1/11-comma)

13 tone equal modes:

3 3 2 3 2Blackwood Pentatonic, Quasi Slendro, Father-5
3 2 3 2 3A-Team-5
3 3 3 3 1Lovecraft-5
2 1 2 1 2 1 2 1 1Lovecraft-9
4 1 3 1 4Symmetrical Pentatonic
4 2 1 2 4Columns
3 2 2 1 2 3Developmental Ecstacy
2 2 2 3 2 2Glacial-6
2 2 2 2 2 2 1Ryonian
2 2 2 2 2 1 2Karakalian
2 2 2 2 1 2 2Glacial-7, Lobonian
2 2 2 1 2 2 2Horthatian
2 2 1 2 2 2 2Oukranian
2 1 2 2 2 2 2Tamashian
1 2 2 2 2 2 2Zo-Kalarian
2 2 1 3 1 2 2Diatronic
1 3 2 1 2 3 1Polyzontal
1 2 1 2 2 1 2 2Blackwood Subminor, Sarnathian
1 2 2 1 2 1 2 2Chalmers Major, Hlanithian
2 1 2 2 1 2 2 1Chalmers Minor, Celephaisian, A-Team-8
2 1 2 2 1 2 1 2Chalmers Triadic Minor, Ultharian
2 2 1 2 2 1 2 1Dylathian, False Father
2 2 1 2 1 2 2 1Ilarnekian
2 1 2 1 2 2 1 2Mnarian
1 2 2 1 2 2 1 2Kadathian
1 2 1 1 3 1 1 2 1Symmetrical Nonatonic
1 1 2 1 1 2 1 1 1 2Rapoport Minor
2 1 1 1 2 1 1 2 1 1Rapoport Major

13 tone modes of Bohlen-Pierce scale: octave is 3/1

3 3 3 3 1BP Pentatonic
2 1 2 1 1 2 1 2 1Delta, Moll I
1 2 1 2 1 1 2 1 2Dur I, Delta inverse
1 2 1 2 1 1 2 2 1Gamma
1 2 2 1 1 2 1 2 1Gamma inverse
2 1 1 2 1 2 1 1 2Dur II
2 1 1 2 1 2 1 2 1Lambda
2 1 1 2 1 1 2 2 1Blue Lambda
2 2 2 2 2 2 1Krumhansl Heptatonic
1 2 1 2 1 2 1 1 2Harmonic, Lambda inverse
1 2 1 2 1 2 1 2 1Pierce, Moll II
3 1 2 1 3 2 1Prooijen Major
2 1 3 1 2 3 1Prooijen Minor
1 1 2 1 2 1 2 1 2Walker A
1 2 1 1 2 1 2 1 2Walker B
2 1 2 1 2 1 2 1 1Walker I
2 1 2 1 2 1 1 2 1Walker II
2 2 2 1 2 2 2Sirius-7
1 3 1 3 1 3 1Canopus-7
1 2 1 1 2 1 1 1 2 1Canopus-10
1 4 1 1 1 4 1Arcturus-7
1 1 3 1 1 1 3 1 1Arcturus-10

14 tone equal modes:

2 3 2 2 3 2Quasi-equal Hexatonic
2 1 2 1 2 1 2 2 1Gould Nonatonic
3 3 1 3 3 1Decimal-6
1 2 1 2 1 1 2 1 2 1Decimal-10
2 3 3 3 3Godzilla-5
2 2 1 2 1 2 1 2 1Godzilla-9
3 2 2 3 2 2Hedgehog-6
1 2 2 2 1 2 2 2Hedgehog-8
3 3 2 3 3Semaphore-5
2 1 2 1 2 1 2 1 2Semaphore-9
1 2 3 2 1 2 3Superpelog-Pelog
1 2 1 2 1 2 1 2 2Superpelog-9
2 3 1 2 3 1 2Unicycle Gestures

15 tone equal modes:

1 2 1 2 1 2 1 2 1 2Blackwood Decatonic
4 1 4 1 4 1Blackwood Hexatonic
3 2 1 3 2 3 1Fifteen-tone "Major"
3 1 2 3 1 3 2Fifteen-tone "Minor", Natural Minor
3 1 2 3 2 3 1Fifteen-tone Melodic Minor
3 1 2 3 1 4 1Fifteen-tone Harmonic Minor
3 2 1 3 1 4 1Fifteen-tone Harmonic Major
3 1 1 1 3 1 1 2 1 1Fifteen-tone Major/Minor mixed
3 2 1 3 1 2 3Equal temperaments 3 and 5 mixed
1 2 1 1 1 2 1 1 1 1 2 1Twelve-tone Chromatic
2 3 2 1 2 3 2Horse OrgN
2 1 2 1 2 1 2 1 2 1Archytas Clan-10
1 1 2 1 1 1 2 1 1 1 2 1Augene-12
2 3 2 3 2 3Augment-6
2 1 2 2 1 2 2 1 2Augment-9
1 1 1 2 1 1 1 2 1 1 1 2Augment-12
2 1 1 1 2 1 1 1 2 1 1 1Inflated-12
1 3 1 3 1 3 3Kleismic-7
1 1 2 1 2 1 1 2 1 1 2Kleismic-11
1 1 1 2 1 1 1 1 1 1 1 1 1 1Nautilus-14
3 1 3 1 3 1 3Superkleismic-7
2 2 2 3 2 2 2Miller's Porcupine-7
2 3 2 2 2 2 2Miller's Porcupine-7 Major
1 3 2 3 1 1 2 2Miller's Kusiro
2 2 1 2 2 2 2 2Pentadecaphonic "Major", Jones's Porcupine-8
3 2 2 2 2 2 2Porky-7
1 2 1 1 1 1 1 1 2 1 1 1 1Progress-13
2 2 1 2 2 1 2 2 1Rempt's Andal scale, Triforce-9
1 2 2 1 2 2 1 2 2Rempt's Andal scale inverse
2 1 1 1 1 1 2 1 1 1 1 1 1Thuja-13
3 2 3 2 3 2Triforce-6

16 tone equal modes:

2 2 3 2 2 2 3Pseudo Pelog, Pelogic-7, Antiionian
3 1 3 2 2 3 2Harmonic Minor
2 3 2 2 3 1 3Harmonic Minor inverse
1 3 1 3 1 3 1 3Octatonic, Neo-Diminished inverse
3 1 3 1 3 1 3 1Neo-Diminished
2 3 2 2 2 3 2Armodue-7, Antidorian
2 2 2 1 2 2 2 2 1Agmon Diatonic DS3, Armodue, Goldsmith, Superionian
1 2 2 2 2 1 2 2 2Noll Pseudo-diatonic, Agmon Diatonic DS3 inverse, Superphrygian
2 1 2 2 1 2 1 2 2 1Astrology-10
2 3 3 2 3 3Decibel-6
3 3 3 4 3Gorgo-5
3 3 3 3 3 1Gorgo-6
1 3 3 2 1 3 3Gorgo-Pelog
1 2 1 2 1 2 1 2 1 2 1Gorgo-11
3 2 3 3 2 3Astrology-6, Lemba-6
2 1 2 1 2 2 1 2 1 2Lemba-10
2 2 1 2 2 2 2 1 2Wilson Supradiatonic, Mabila-9, Supercorinthian
5 2 2 5 2Mavila-5, Patet dang
2 3 2 2 3 2 2Mavila-7, Antiaeolian
2 1 2 2 2 1 2 2 2Mavila-9, Superaeolian
1 2 1 1 2 1 1 2 1 1 2 1Flavell's Blues
5 2 5 2 2Patet deng
2 5 2 5 2Patet dong
2 5 2 2 5Patet dung
2 2 5 2 5Patet ding
3 2 2 3 2 2 2Antilocrian
3 2 2 2 3 2 2Antiphrygian
2 2 3 2 2 3 2Antimixolydian
2 2 2 3 2 2 3Antilydian
2 2 2 2 1 2 2 2 1Superlydian
2 2 2 1 2 2 2 1 2Supermixolydian
2 2 1 2 2 2 1 2 2Superolympian
2 1 2 2 2 2 1 2 2Superdorian
1 2 2 2 1 2 2 2 2Superlocrian

17 tone equal modes:

2 1 1 2 1 2 1 2 1 1 2 1Twelve-tone Chromatic (2/11-comma positive)
3 3 1 3 3 3 1Seventeen-tone Major
3 1 3 3 1 3 3Seventeen-tone Natural Minor
3 1 3 3 3 3 1Seventeen-tone Melodic Minor
3 1 3 3 1 5 1Seventeen-tone Harmonic Minor
3 3 1 3 1 5 1Seventeen-tone Harmonic Major
3 3 4 3 4Seventeen-tone Major Pentatonic
4 3 3 4 3Seventeen-tone Minor Pentatonic, Salendro Sejati: Sunda
3 4 3 4 3Seventeen-tone Suspended Pentatonic
3 1 3 3 3 2 2Altered Melodic Minor
6 1 3 6 1Pelog Degung Sejati: Sunda
6 1 6 3 1Sorog Madenda Sejati: Sunda
2 5 3 2 5Malaysian Pelog
2 3 2 3 2 3 2Neutral Dorian, Maqamic-7
1 4 1 4 2 1 4Dante's Flying Machine
3 2 1 3 2 1 3 2Donut Dose
3 3 2 4 2 3Six Deployments
3 2 2 3 3 2 2Pseudo Rast
3 2 2 3 1 4 2Turkish Minor
3 2 3 1 3 2 3Scorp
3 3 2 2 3 3 1Screamapillar
3 3 1 1 2 3 2 1 1Hydra
3 2 2 3 2 3 2Beatles-7, Dichotic-7
1 2 2 2 1 2 2 1 2 2Beatles-10, Dichotic-10
2 2 2 2 2 2 2 2 1Jerome-9, Progression-9
2 1 3 1 3 3 1 2 1Hajdu non-octave mode
1 2 2 1 2 2 1 2 2 2Hemififths-10
3 2 3 2 3 2 2Neutral Hypolydian, Mohajira-7
1 2 2 1 2 2 2 1 2 2Neutral Hypolydian Decatonic, Mohajira-10
2 1 2 2 1 2 2 2 1 2Neutral Dorian Decatonic, Maqamic-10
3 5 3 3 3Machine-5
3 3 2 3 3 3Machine-6
1 2 1 2 1 2 1 2 1 2 2Machine-11
1 2 1 1 2 1 2 1 1 2 1 2Schism-12
1 4 1 4 1 1 4 1Sentinel-8
1 3 1 1 3 1 1 1 3 1 1Secor Sentinel-11
3 1 1 3 1 1 1 3 1 1 1Squares-11
2 1 1 1 2 1 1 1 1 2 1 1 1 1Squares-14

mode of 17 out of 3/1:

2 2 1 2 1 2 1 2 1 2 1Toliman-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 3Safi al-Din's maqam `Ussaq
3 1 3 3 1 3 3Safi al-Din's maqam Nawa
1 3 3 1 3 3 3Safi al-Din's maqam Abu Salik
3 2 2 3 2 2 3Safi al-Din's maqam Rast
2 3 2 2 3 2 2 1Safi al-Din's maqam `Iraq
3 2 2 3 2 2 2 1Safi al-Din's maqam Isfahan
2 2 3 2 2 1 3 2Safi al-Din's maqam Zirafkand
2 3 2 2 1 3 2 2Safi al-Din's maqam Buzurg
3 2 2 2 3 2 3Safi al-Din's maqam Zangulah
2 3 2 2 2 3 3Safi al-Din's maqam Rahawi
2 2 3 2 2 3 3Safi al-Din's maqam Husaini
2 2 3 2 3 2 3Safi al-Din's maqam Higazi
1 2 1 1 1 1 1 2 1 1 1 1 1 2al-Kindi's mode
1 2 1 2 1 1 2 1 2 1 3Ishaq 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 1Dastgah-e Mahur, Rast Panjgah
2 2 3 3 1 3 3Dastgah-e Shur
2 3 3 1 3 3 2Naghmeh Abuata, Naghmeh Afshari
3 3 1 3 3 2 2Naghmeh Bayat-e Tork, Naghmeh Dashti
2 4 1 3 1 3 3Dastgah-e Homayun
3 1 3 3 2 4 1Naghmeh Esfahan
3 2 2 3 2 2 3Dastgah-e Sehgah
2 3 2 2 3 3 2Dastgah-e Sehgah
3 1 3 3 2 3 2Dastgah-e Mokhalif, Bayat-e Esfahan
2 4 1 3 2 4 1Dastgah-e Chahargah
3 1 3 3 2 2 3Dastgah-e Nava

18 tone modes:

4 4 1 4 4 1Bicycle
2 3 3 2 3 2 3Dicot-7
4 4 3 4 3Father-5
3 1 3 3 1 3 3 1Father-8
2 1 2 1 2 1 2 1 2 1 2 1Hexe-12
2 2 2 3 2 2 2 3Octokaidecal-8
2 2 2 2 1 2 2 2 2 1Octokaidecal-10
2 2 3 2 2 2 3 2Supersharp-8
2 2 2 1 2 2 2 2 1 2Supersharp-10
2 1 2 1 1 2 1 2 1 1 2 1 1Semisept-13
1 2 1 2 1 1 2 1 1 2 1 2 1Wilson Supradiatonic

19 tone modes:

1 2 2 1 2 1 2 1 2 2 1 2Meantone Chromatic (1/3-comma)
5 4 5 5Four out of 19
4 4 4 4 3Five out of 19, Godzilla-5 inverse
3 3 5 3 5Nineteen-tone Major Pentatonic
5 3 3 5 3Nineteen-tone Minor Pentatonic
3 5 3 5 3Nineteen-tone Suspended Pentatonic
4 4 3 4 4Quasi-equal Pentatonic, Semaphore-5
3 3 3 3 3 4Yasser's Hexad, Spell-6
3 3 3 3 3 3 1Spell-7
3 3 2 3 3 3 2Nineteen-tone Major
3 2 3 3 2 3 3Nineteen-tone Natural Minor
3 2 3 3 3 3 2Nineteen-tone Melodic Minor
3 2 3 3 2 4 2Nineteen-tone Harmonic Minor
3 3 2 3 2 4 2Nineteen-tone Harmonic Major
3 2 3 3 2 1 2 1 2Nineteen-tone Full Minor
2 1 2 1 2 1 2 2 1 2 1 2Genus diatonico-chromaticum, Yasser's Supradiatonic inverse
3 1 1 3 1 3 1 1 3 1 1Keenan Eleven out of 19
2 2 2 2 2 1 2 1 2 2 1Krantz Eleven out of 19
3 1 1 3 1 1 1 1 3 1 3McLaren Eleven out of 19
2 2 2 1 2 2 1 2 2 2 1Noll Pseudo-diatonic
2 2 2 2 2 2 2 2 2 1Negri's Ten Plus Nine, Negri-10
2 3 1 4 1 4 4Cartunes
4 1 4 1 4 1 4Oljare Diminished
5 1 5 1 1 5 1Oljare Augmented, Magic-7
2 2 3 2 2 3 2 3Oljare Octatonic, Sensi-8
1 3 1 3 3 1 3 1 3Oljare Pentaenharmonic
2 2 1 2 2 2 1 2 2 2 1Gould Eleven out of 19
2 1 2 1 2 2 1 2 1 2 1 2Yasser's Supradiatonic, Genus diatonico-chromaticum inverse
1 2 5 1 2 5 3Ratio 1:2 Chromatic Mixolydian
2 5 1 2 5 3 1Ratio 1:2 Chromatic Lydian
5 1 2 5 3 1 2Ratio 1:2 Chromatic Phrygian
1 2 5 3 1 2 5Ratio 1:2 Chromatic Dorian
2 5 3 1 2 5 1Ratio 1:2 Chromatic Hypolydian
5 3 1 2 5 1 2Ratio 1:2 Chromatic Hypophrygian
3 1 2 5 1 2 5Ratio 1:2 Chromatic Hypodorian
1 4 1 4 1 4 4Kleismic-7
1 4 1 4 1 4 1 3Kleismic-8
1 1 3 1 3 1 1 3 1 1 3Kleismic-11
1 1 1 2 1 1 1 2 1 1 1 2 1 1 2Kleismic-15
3 3 3 3 1 3 3Glacial-7
2 1 2 1 2 1 2 1 1 2 1 2 1Glacial-13
3 4 4 4 4Godzilla-5
3 3 1 3 1 3 1 3 1Godzilla-9
2 1 2 1 1 2 1 1 2 1 1 2 1 1Godzilla-14
2 2 2 2 3 2 2 2 2Negri-9
2 1 2 1 3 3 3 3 1Straub Whole-Tone
4 1 1 1 4 1 1 4 1 1Magic-10
3 1 1 1 3 1 1 1 3 1 1 1 1Magic-13
1 1 3 1 1 1 3 1 1 1 1 3 1Muggles-13
3 1 3 1 3 1 3 1 3Semaphore-9
2 5 2 5 5Sensi-5
2 2 2 1 2 2 2 1 2 2 1Sensi-11
1 3 1 1 2 2 1 2 1 2 2 1Starling-12
1 2 1 2 1 2 1 1 2 1 2 1 2Unsmate-13
2 3 2 2 3 2 2 3Mandelbaum Eight out of 19
2 2 3 2 2 2 2 2 2Mandelbaum Nine out of 19
2 2 1 2 2 2 2 2 2 2Mandelbaum Ten out of 19
2 1 2 2 2 1 2 2 2 1 2Mandelbaum Eleven out of 19
1 2 1 2 2 1 2 1 2 1 2 2Mandelbaum Twelve out of 19
2 1 2 1 2 1 2 1 2 1 2 1 1Mandelbaum Thirteen out of 19, Spell-13
1 2 1 1 2 1 1 2 1 1 2 1 2 1Mandelbaum Fourteen out of 19

20 tone equal modes:

2 2 1 2 1 2 2 1 2 2 2 1Twelve-tone Chromatic
4 3 1 4 3 4 1Twenty-tone "Major"
4 1 3 4 1 4 3Twenty-tone "Minor"
3 4 1 4 3 3 2Stearns Major
2 3 2 3 2 3 2 3Octatonic
3 2 3 2 3 2 3 2Diminished
2 3 2 2 2 3 2 2 2Balzano Nine-tone, Score-9
2 2 2 2 1 2 2 2 2 2 1Balzano Eleven-tone, Agmon Diatonic DS4, Noll Pseudo-diatonic
2 2 2 3 2 2 2 3 2Balzano Nine-tone inverse
1 2 2 2 2 2 1 2 2 2 2Balzano Eleven-tone inverse
3 2 2 2 2 3 2 2 2Rothenberg Generalized Diatonic
2 2 2 2 1 2 2 2 2 1 2Zweifel Major
2 1 2 2 2 2 2 1 2 2 2Zweifel Natural Minor
3 3 3 3 3 3 2Major quasi-equal Heptatonic
3 2 3 3 3 3 3Minor quasi-equal Heptatonic
1 3 1 1 3 1 1 3 1 1 3 1Blackbirds-12
1 1 1 4 1 1 1 4 1 1 4Bossier-11
1 1 1 3 1 1 1 1 3 1 1 1 3 1Bossier-14
2 2 5 2 2 2 5Pelogic-7
7 2 7 2 2Score-5
5 2 2 5 2 2 2Score-7
1 2 2 2 2 1 2 2 2 2 2Score-11
3 2 2 2 3 2 2 2 2Zinith-9

21 tone equal modes:

2 1 2 2 2 1 2 2 2 1 2 2Twelve-tone Chromatic
4 4 5 4 4Quasi-equal Pentatonic
4 3 4 3 4 3Quasi-equal Hexatonic
2 3 2 2 3 2 2 3 2Quasi-equal Enneatonic, Deflated-9
3 4 3 4 3 4Augment-6
3 1 3 3 1 3 3 1 3Augment-9
1 2 1 2 1 1 2 1 2 1 1 2 1 2 1Augment-15
5 2 5 2 5 2August-6
3 2 2 3 2 2 3 2 2August-9
1 2 2 2 1 2 2 2 1 2 2 2August-12
4 4 4 4 4 1Gorgo-6
1 4 4 3 1 4 4Gorgo-Pelog
1 3 1 3 1 3 1 3 1 3 1Gorgo-11
2 2 2 2 2 2 2 2 2 3Miracle-10
2 2 2 2 2 2 2 2 2 2 1Miracle-11
3 3 1 3 3 1 3 3 1Oodako-9
2 1 2 1 2 1 2 1 2 1 2 1 2 1Septimal-14
3 1 3 1 3 1 3 1 1 3 1Spartan-11
1 1 1 3 1 1 3 1 1 3 1 1 3Subklei-13
3 2 3 2 3 3 2 3Tridec-8

22 tone modes:

3 1 1 3 1 3 1 3 1 1 3 1Twelve-tone Chromatic (1/3-comma positive)
4 4 1 4 4 4 1Twenty-two tone Major
4 1 4 4 1 4 4Twenty-two tone Minor, Superpyth-7
4 3 2 4 3 4 2Twenty-two tone "Just" Major
4 2 3 4 2 3 4Twenty-two tone "Just" Minor
4 2 3 4 2 4 3Twenty-two tone Natural Minor
4 2 3 4 3 4 2Twenty-two tone Melodic Minor
4 2 3 4 2 5 2Twenty-two tone Harmonic Minor
4 3 2 4 2 5 2Twenty-two tone Harmonic Major
4 3 3 4 4 4Harmonic Whole-Tone
4 3 4 4 3 4"9-limit" Consonant Whole-Tone, Astrology-6
3 1 3 3 1 3 1 3 3 1Astrology-10
1 4 1 4 1 1 4 1 4 1Doublewide-10
1 1 3 1 1 3 1 1 1 3 1 1 3 1Doublewide-14
1 1 3 1 1 1 3 1 1 3 1 1 1 3Fleetwood-14
5 3 3 5 3 3Hedgehog-6
2 3 3 3 2 3 3 3Hedgehog-8
2 1 2 2 1 2 1 2 1 2 2 1 2 1Hedgehog-14
2 2 1 2 2 2 2 2 1 2 2 2Jubilee-12
6 1 6 1 1 6 1Magic-7
5 1 1 1 5 1 1 5 1 1Magic-10
4 1 1 1 4 1 1 1 4 1 1 1 1Magic-13
5 5 5 5 2Orwell-5
3 2 3 2 3 2 3 2 2Orwell-9
1 2 2 1 2 2 1 2 2 1 2 2 2Orwell-13
2 3 2 3 2 3 2 3 2Rezsutek's Percussion scale
2 2 2 1 2 2 2 2 2 1 2 2Pajara-12
1 3 1 1 3 1 3 1 1 3 1 3Superpyth-12
4 1 4 4 4 1 4Supra-7
1 3 1 3 1 1 3 1 3 1 3 1Supra-12
2 2 1 2 1 2 1 2 2 1 2 1 2 1Urchin-14
3 1 3 1 3 1 1 3 1 3 1 1Wilson Pi-Meantone
5 4 4 5 4Septimal Minor Pentatonic, Supra-5
4 3 3 3 3 3 3Major quasi-equal Heptatonic, Porky-7
3 3 3 4 3 3 3Minor quasi-equal Heptatonic, Miller's Porcupine-7
3 4 3 3 3 3 3Miller's Porcupine-7 Major
4 3 2 4 3 3 3Ionian Porcupine
4 2 3 4 3 3 3Dorian Porcupine
3 3 3 4 2 3 4Aeolian Porcupine
4 3 3 3 3 4 2Major Porcupine
4 3 3 3 2 4 3Major-Minor Porcupine
4 2 3 4 3 3 3Minor Porcupine
4 3 3 3 4 3 2Chameleon Porcupine
3 3 4 2 4 3 3Symmetric Diminished Porcupine
3 3 1 3 3 3 3 3Jones's Porcupine-8
2 1 2 1 1 2 1 2 1 2 1 2 1 2 1Porcupine-15
3 1 3 2 2 2 3 2 2 2Alternate Proper Decatonic
2 2 3 1 3 2 2 3 1 3Exotic Symmetrical Decatonic
2 2 2 2 2 2 1 1 2 2 2 2Elevenplus
2 2 2 2 1 2 2 2 2 2 2 1Hexachordal
2 2 1 2 2 2 1 2 2 1 2 2 1Noll Pseudo-diatonic
3 1 6 2 6 1 3Ballooning Rushes
1 3 5 1 3 5 1 3Crushed Oranges
2 1 7 2 1 7 2Kathartic Parts
1 4 1 4 2 1 4 1 4Rivetting Reds
4 1 3 1 4 1 3 1 4Rodentalia

Paul Erlich's 22 tone equal modes:

2 2 3 2 2 2 3 2 2 2Standard Pentachordal Major
2 2 3 2 2 2 2 3 2 2Static Symmetrical Major
2 3 2 2 2 2 2 3 2 2Alternate Pentachordal Major
2 3 2 2 2 2 3 2 2 2Dynamic Symmetrical Major
2 2 2 3 2 2 2 2 2 3Standard Pentachordal Minor
2 2 2 3 2 2 2 2 3 2Static Symmetrical Minor, Pajara-10
2 2 2 2 3 2 2 2 3 2Alternate Pentachordal Minor
2 2 2 2 3 2 2 2 2 3Dynamic Symmetrical Minor
3 2 2 2 3 2 2 2 2 2Pentachordal Decatonic
6 3 1 3 6 3Twenty-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 2Shadja Grama, Murchhana Uttaramandra, Shuddha Swara Saptaka
[20] 2 4 3 2 4 4 3Murchhana Rajani
[17] 3 2 4 3 2 4 4Murchhana Uttarayata
4 3 2 4 3 2 4Murchhana Suddhasadja, Raga Harikambhoji, Palaiyazh
4 4 3 2 4 3 2Murchhana Asvakranta
3 2 4 4 3 2 4Murchhana Abhirudgata, Kafi That, Raga Bageshri
4 3 2 4 3 4 2Madhyama Grama, Bilaval That, Murchhana Suddhamadhya
[20] 2 4 3 2 4 3 4Murchhana Margavi
3 4 2 4 3 2 4Murchhana Hrishyaka
4 3 4 2 4 3 2Murchhana Sauviri, Kalyan That
2 4 3 4 2 4 3Murchhana Harinasva, Bhairavi That
[4] 3 2 4 3 4 2 4Murchhana Kalopanata
3 2 4 3 3 3 4Gandhaara Grama (Sarngadeva der. sa-grama)
3 2 4 3 2 4 4Gandhaara Grama (Sarngadeva der. ma-grama)
4 2 4 3 3 3 3Gandhaara Grama (Narada der. sa-grama)
4 2 4 3 2 4 3Gandhaara Grama (Narada der. ma-grama), Murchhana Pauravi
4 2 3 4 2 4 3Gandhaara Grama (Damodara), Raga Darbari, Darbari Kanada
2 4 3 3 3 4 3Gandhaara Grama (Somanatha)
2 4 4 3 2 4 3Gandhaara Grama (Popley), Murchhana Matsarikrita
4 2 3 4 2 2 2 3Raga Anandabhairavi
1 4 4 4 1 5 3Raga Asavari
4 2 3 4 2 3 4Asavari That
2 5 6 2 5 2Raga Bauli
1 6 2 4 1 7 1Bhairav That
2 5 2 3 1 3 4 2Raga Bhatiyar
4 3 6 4 5Raga Bhupali
4 3 2 3 1 4 4 1Raga Bihag
1 4 4 4 1 4 4Raga Bilashkhani Todi
4 3 2 3 1 3 2 3 1Raga Chayanat
3 4 6 3 6Raga Deskar
4 5 4 4 5Raga Durga
4 3 2 3 1 4 3 2Raga Gaud Sarang
1 4 6 3 7 1Raga Gurjari Todi
4 3 6 7 2Raga Hamsadhvani
4 1 4 4 1 4 4Raga Jaunpuri
3 4 2 4 3 4 2Raga Jogiya
2 3 4 4 2 3 4Raga Kanakangi
4 3 2 4 4 1 4Khamaj That
4 3 2 4 3 2 3 1Raga Khamaj
4 3 2 4 3 6Raga Kambhoji
4 2 3 4 4 2 3Raga Kharaharapriya, Bhimpalasi
1 6 2 2 3 7 1Raga Lalita
4 2 5 2 4 3 2Raga Madhuvanti, Ambika
6 3 6 3 4Raga Malkauns
2 5 4 2 4 3 2Raga Marva
4 2 3 4 4 2 2 1Raga Mian Ki Malhar
3 2 4 4 2 1 2 4Raga Mukhari
2 4 6 1 1 7 1Raga Multani
2 5 5 1 3 4 2Raga Puriya Kalyan
2 5 5 1 2 5 2Purvi That, Raga Shri
4 2 2 1 4 4 2 2 1Raga Ramdasi Malhar
1 6 2 1 3 1 6 2Raga Ramkali
1 4 4 4 1 7 1Raga Rampurmat Pilu
1 6 2 4 1 2 4 2Raga Saurashtra
2 7 4 1 8Raga Saveri
3 6 4 3 6Raga Suddha Malhar
4 3 2 2 2 3 4 2Raga Suddha Kalyan
6 3 4 2 5 2Raga Takka
7 2 4 5 2 2Raga Tilang
1 4 7 1 1 7 1Todi That
1 4 7 1 1 6 2Raga Varali
1 6 6 3 6Raga Vibhas (marva)
4 4 4 1 4 4 1Raga Yaman
4 3 2 3 1 3 5 1Raga Yaman Kalyan
2 2 2 1 2 2 2 2 2 2 1 2Modern Indian gamut
3 2 1 1 2 3 1 3 2 1 1 2Old Indian gamut

22 tone mode of Tamil matra scale:

4 4 3 2 4 3 2Seven-tone gamut (saptaka)

23 tone modes:

3 3 3 5 3 3 3Symmetrical Heptatonic
3 4 3 3 3 4 3Armodue-7
3 3 3 1 3 3 3 3 1Armodue-9
2 3 3 3 3 3 3 3Greeley-8
2 2 1 2 1 2 1 2 1 2 1 2 1 2 1Greeley-15
7 3 3 7 3Mavila-5
3 4 3 3 4 3 3Mavila-7
3 1 3 3 3 1 3 3 3Mavila-9
3 3 3 4 3 3 4Pelogic-7
3 2 3 2 3 3 2 3 2Pentoid-9
2 2 2 1 2 2 2 2 2 2 2 2Ripple-12
2 2 5 2 5 2 5Sephiroth-7
2 2 2 3 2 2 3 2 2 3Sephiroth-10
5 1 5 1 5 1 5Starlingtet-7
3 2 3 2 3 2 3 2 3Stearns 9-tone
2 2 2 2 2 3 2 2 2 2 2Stearns 11-tone
2 3 5 3 2 3 5Superpelog-Pelog
2 3 2 3 2 3 2 3 3Superpelog-9
2 2 1 2 2 1 2 2 1 2 2 1 2 1Superpelog-14
3 3 1 3 3 3 3 1 3Wilson Supradiatonic
2 1 4 2 1 4 2 1 4 2Enshrouded House of Kundalini

24 tone modes:

1 1 8 1 1 8 4Enharmonic Mixolydian
1 8 1 1 8 4 1Enharmonic Lydian
8 1 1 8 4 1 1Enharmonic Phrygian
1 1 8 4 1 1 8Enharmonic Dorian
1 8 4 1 1 8 1Enharmonic Hypolydian
8 4 1 1 8 1 1Enharmonic Hypophrygian
4 1 1 8 1 1 8Enharmonic Hypodorian
2 3 5 2 3 5 4Soft Diatonic Mixolydian
3 5 2 3 5 4 2Soft Diatonic Lydian
5 2 3 5 4 2 3Soft Diatonic Phrygian
2 3 5 4 2 3 5Soft Diatonic Dorian
3 5 4 2 3 5 2Soft Diatonic Hypolydian
5 4 2 3 5 2 3Soft Diatonic Hypophrygian
4 2 3 5 2 3 5Soft Diatonic Hypodorian
3 3 4 3 3 4 4Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian
3 4 3 3 4 4 3Dastgah-e Sehgah, Neutral Diatonic Lydian
4 3 3 4 4 3 3Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian
3 3 4 4 3 3 4Maqam Hussaini, Ushaq, Neutral Diatonic Dorian
3 4 4 3 3 4 3Maqam Sikah (Segah), Neutral Diatonic Hypolydian
4 4 3 3 4 3 3Neutral Diatonic Hypophrygian
4 3 3 4 3 3 4Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz
1 5 4 1 5 4 4Diatonic + Enharmonic Diesis Mixolydian
5 4 1 5 4 4 1Diatonic + Enharmonic Diesis Lydian
4 1 5 4 4 1 5Diatonic + Enharmonic Diesis Phrygian
1 5 4 4 1 5 4Diatonic + Enharmonic Diesis Dorian
5 4 4 1 5 4 1Diatonic + Enharmonic Diesis Hypolydian
4 4 1 5 4 1 5Diatonic + Enharmonic Diesis Hypophrygian
4 1 5 4 1 5 4Diatonic + Enharmonic Diesis Hypodorian
1 3 6 1 3 6 4Chromatic/Enharmonic Mixolydian
3 6 1 3 6 4 1Chromatic/Enharmonic Lydian
6 1 3 6 4 1 3Chromatic/Enharmonic Phrygian
1 3 6 4 1 3 6Chromatic/Enharmonic Dorian
3 6 4 1 3 6 1Chromatic/Enharmonic Hypolydian
6 4 1 3 6 1 3Chromatic/Enharmonic Hypophrygian
4 1 3 6 1 3 6Chromatic/Enharmonic Hypodorian
3 4 3 3 4 3 4Neutral Mixolydian, Iced Blizzard
4 3 3 4 3 4 3Neutral Lydian, Iced Major
3 3 4 3 4 3 4Neutral Phrygian, Iced Locrian
3 4 3 4 3 4 3Neutral Dorian, Misaelides 2nd Byzantine mode, Iced Fridgian, Maqam Sikah Baladi, Maqamic-7
4 3 4 3 4 3 3Neutral Hypolydian, Mohajira-7, Iced Lydian
3 4 3 4 3 3 4Neutral Hypophrygian, Iced Mixolydian
4 3 4 3 3 4 3Neutral Hypodorian, Iced Dark Lydian
1 2 7 1 2 7 4Ratio 1:2 Hemiolic Chromatic Mixolydian
2 7 1 2 7 4 1Ratio 1:2 Hemiolic Chromatic Lydian
7 1 2 7 4 1 2Ratio 1:2 Hemiolic Chromatic Phrygian
1 2 7 4 1 2 7Ratio 1:2 Hemiolic Chromatic Dorian
2 7 4 1 2 7 1Ratio 1:2 Hemiolic Chromatic Hypolydian
7 4 1 2 7 1 2Ratio 1:2 Hemiolic Chromatic Hypophrygian
4 1 2 7 1 2 7Ratio 1:2 Hemiolic Chromatic Hypodorian
3 5 2 4 3 5 2Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
4 2 4 4 3 3 4Dastgah-e Nava, Maqam Ushaq Masri
2 7 1 4 2 7 1Second plagal Byzantine Liturgical mode
5 5 4 5 5Quasi-equal Pentatonic, Semaphore-5
3 3 4 4 2 4 4Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
3 3 4 4 2 1 3 4Maqam Bayati
3 3 4 4 4 2 4Maqam Nahfat
3 3 2 6 2 4 4Maqam Saba
3 3 2 6 2 4 2 2Maqam Saba
3 3 2 6 2 6 2Maqam Sabr Jadid
3 3 2 2 4 3 3 4Maqam Mansuri
4 3 3 4 2 6 2Maqam Suznak (Soznak)
4 3 3 4 4 2 1 3Maqam Rast, Dilkashidah, Dilnishin
4 3 3 4 4 4 2Maqam Mahur
4 3 1 2 1 3 4 2 1 3Maqam Yakah
4 3 1 2 4 4 2 4Maqam Suzidil 'ara
3 3 4 2 6 2 4Maqam Qarjighar, Bayati Shuri
3 4 2 2 2 2 2 4 3Maqam Huzzam
3 4 2 6 2 4 3Maqam Hizam (Huzzam, El Houzam), Rahat al Arouah
3 4 2 6 2 4 2 1Maqam Rahat al-Arwah
3 4 3 3 4 4 2 1Maqam Iraq
2 6 2 4 2 1 3 4Maqam Hijaz
3 4 4 2 1 3 4 3Maqam Musta'ar
3 4 4 4 2 4 2 1Maqam Farahnak
3 4 3 3 2 6 2 1Maqam Bastanikar, Tarz Nuin
4 2 6 2 4 2 1 3Maqam Farah Faza, Maqam Nakriz
4 2 1 3 2 2 2 2 3 1 2Maqam Hayyan
4 2 1 3 2 2 4 2 1 3Maqam Basandida
4 4 2 1 3 2 2 4 2Maqam Shawq Afza
2 1 3 2 2 4 2 4 2 2Maqam Shawq Tarab
3 1 2 4 4 2 4 4Maqam Jabburi
2 4 4 4 3 3 4Maqam Nawa
2 5 3 4 2 5 3Maqam Higaz-kar
3 4 4 2 4 4 3Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
4 4 2 4 4 3 3Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
4 4 3 3 4 4 2Maqam 'Ajam Murassah
3 5 2 4 2 4 4Dastgah-e Homayun
4 2 4 4 3 5 2Naghmeh Esfahan
3 6 1 5 2 6 1Maqam 'Awg 'ara (Aug-ara)
4 1 5 4 2 6 2Maqam Buselik
4 2 6 2 2 5 3Maqam Neuter
2 8 3 6 5Anchihoye: Ethiopia
4 3 3 4 4 2 4Dance scale of Yi people: China
4 4 2 3 1 4 6Daniel-mode of Spanish-Arab Jews
3 7 4 3 7Spondeion
1 1 8 4 2 8Spondeiakos
1 4 4 2 4 4 4 1Dalmonte 8-tone
1 5 3 1 5 3 1 5Spongework
4 4 2 1 3 4 3 1 2Xiangliu
9 2 2 9 2de Vries 5-tone
4 1 4 1 4 1 4 1 4de Vries 9-tone, Semaphore-9
1 2 2 2 2 2 2 1 2 2 2 2 2de Vries 13-tone
2 2 3 2 3 2 2 3 2 3Anguirus-10
2 1 2 2 1 2 2 2 1 2 2 1 2 2Anguirus-14
1 3 3 4 3 4 3 3Freivald Lament
3 2 2 2 2 3 2 2 2 2 2Freivald-11
1 2 2 2 2 2 1 2 2 2 2 2 2Freivald-13
4 5 5 5 5Godzilla-5
4 4 1 4 1 4 1 4 1Godzilla-9
3 1 3 1 1 3 1 1 3 1 1 3 1 1Godzilla-14
5 1 1 1 5 1 1 1 5 1 1 1Hemiaug-12
1 3 3 1 3 3 1 3 3 3Migration-10
1 2 3 4 4 1 2 3 4Progressive Enneatonic
3 3 2 3 3 2 3 3 2Triforce-9
1 2 1 2 2 1 2 1 2 2 1 2 1 2 2Triforce-15
2 3 2 3 2 2 3 2 3 2Young Decatonic, Decimal-10
2 2 1 2 2 2 1 2 2 1 2 2 2 1Young Half-Octave Diatonic, Decimal-14
3 1 3 3 3 1 3 3 1 3Breed Decatonic
1 3 3 1 3 3 3 1 3 3Neutral Hypolydian Decatonic, Mohajira-10
3 1 3 3 1 3 3 3 1 3Neutral Dorian Decatonic, Maqamic-10
2 3 2 2 3 2 3 2 2 3Oljare Decatonic
3 1 3 1 2 3 1 3 1 3 1 2Iceface
1 3 2 1 3 1 3 2 1 2 3 2Vaisvil's Mixed-Quarters
2 2 2 2 2 1 2 2 2 2 2 2 1Agmon Diatonic DS5

25 tone equal modes:

4 4 2 5 4 4 2Twenty-five tone "Major"
4 2 4 5 2 4 4Twenty-five tone "Minor"
3 2 3 2 3 2 3 2 3 2Archytas Clan-10
3 5 3 3 3 5 3Armodue-7, Twenty-five tone Antimajor
3 3 3 2 3 3 3 3 2Armodue-9
2 3 2 3 2 3 2 3 2 3Blackwood-10
2 1 2 2 1 2 2 1 2 2 1 2 2 1 2Blackwood-15
3 4 4 3 4 3 4Dicot-7
4 4 4 4 4 5Hemithirds-6, Spell-6
4 4 4 4 4 4 1Hemithirds-7
3 1 3 1 3 1 3 1 3 1 3 1 1Hemithirds-13, Spell-13
3 3 2 3 3 3 3 2 3Mabila-9
7 1 7 1 1 7 1Magic-7
6 1 1 1 6 1 1 6 1 1Magic-10
5 1 1 1 5 1 1 1 5 1 1 1 1Magic-13
8 3 3 8 3Mavila-5
3 5 3 3 5 3 3Mavila-7
3 2 3 3 3 2 3 3 3Mavila-9
3 1 3 1 3 3 1 3 3 1 3Mohavila-11
3 3 3 5 3 3 5Pelogic-7
4 4 3 4 3 4 3Sixix-7
2 2 2 1 2 2 2 2 1 2 2 2 2 1Ketradektriatoh

26 tone equal modes:

1 3 3 1 3 1 3 1 3 3 1 3Meantone Chromatic (4/9-comma)
4 4 3 4 4 4 3Twenty-six tone Major
4 3 4 4 3 4 4Twenty-six tone Natural Minor
4 3 4 4 4 4 3Twenty-six tone Melodic Minor
4 3 4 4 3 5 3Twenty-six tone Harmonic Minor
4 4 3 4 3 5 3Twenty-six tone Harmonic Major
5 5 6 5 5Quasi-equal Pentatonic, Mothra-5
3 5 5 3 5 5Decibel-6
1 5 1 5 1 1 5 1 5 1Doublewide-10
1 1 4 1 1 4 1 1 1 4 1 1 4 1Doublewide-14
1 3 3 1 3 1 3 3 1 3 1 3Flattone-12
2 2 2 2 2 3 2 2 2 2 2 3Injera-12
3 3 3 3 3 3 3 3 2Jerome-9, Progression-9
5 3 5 5 3 5Lemba-6
3 2 3 2 3 3 2 3 2 3Lemba-10
4 1 4 1 4 1 4 1 4 1 1Mothra-11
2 5 5 2 5 2 5Orgone-7
2 2 3 2 3 2 2 3 2 2 3Orgone-11
3 1 3 1 3 1 1 3 1 3 1 3 1 1Secant-14
4 1 4 1 4 1 4 1 1 4 1Spartan-11
5 2 5 2 5 2 5Superkleismic-7
2 3 2 3 2 2 3 2 2 3 2Superkleismic-11
1 2 2 2 1 2 2 2 1 2 2 2 1 2 2Superkleismic-15
2 2 2 2 2 2 1 2 2 2 2 2 2 1Erlich Double Diatonic, Injera-14
2 2 2 2 2 2 1 2 2 2 2 2 1 2Static Major
2 2 2 2 2 1 2 2 2 2 2 2 2 1Dynamic Major
2 1 2 2 2 2 2 2 2 1 2 2 2 2Static Minor
2 2 1 2 2 2 2 2 1 2 2 2 2 2Dynamic Minor
2 2 2 2 2 2 2 1 2 2 2 2 2 1Injera

27 tone equal modes:

4 1 1 4 1 4 1 4 1 1 4 1Twelve-tone Chromatic (4/9-comma positive)
5 4 2 5 4 5 2Twenty-seven tone "Major"
5 2 4 5 2 5 4Twenty-seven tone "Minor"
6 5 5 6 5Septimal Minor Pentatonic
7 2 7 2 7 2Augene-6
2 5 2 2 5 2 2 5 2Augene-9
2 2 3 2 2 2 3 2 2 2 3 2Augene-12
2 2 2 1 2 2 2 2 1 2 2 2 2 1 2Augene-15
5 3 3 5 3 5 3Beatles-7, Dichotic-7
2 3 3 3 2 3 3 2 3 3Beatles-10, Dichotic-10
2 2 3 2 3 2 3 2 3 2 3Kumonga-11
6 1 6 1 6 1 6Myna-7
1 5 1 1 5 1 5 1 1 5 1Myna-11
1 1 4 1 1 1 4 1 1 1 4 1 1 4 1Myna-15
2 2 2 2 2 2 2 2 2 2 2 2 2 1Octacot-14
4 4 1 4 4 1 4 4 1Oodako-9
3 3 4 3 3 4 3 4Sensi-8
3 3 3 1 3 3 3 1 3 3 1Sensi-11
2 3 2 2 2 3 2 2 2 3 2 2Starling-12
1 4 1 1 4 1 4 1 1 4 1 4Superpyth-12
4 4 4 4 4 4 3Tetracot-7
1 3 1 3 1 3 1 3 3 1 3 1 3Tetracot-13
5 4 5 4 5 4Quasi-equal Hexatonic
3 2 2 2 3 2 2 2 3 2 2 2Miller's Galticeran

28 tone equal modes:

2 3 2 2 3 2 2 3 2 2 3 2Twelve-tone Chromatic
2 5 2 5 2 5 2 5Octatonic
5 2 5 2 5 2 5 2Diminished
3 4 3 4 3 4 3 4Quasi-equal Octatonic
5 4 5 5 4 5Antikythera-6
4 1 4 4 1 4 1 4 4 1Antikythera-10
2 2 3 2 2 3 2 2 3 2 2 3Demolished-12
5 5 3 5 5 5Machine-6
2 3 2 3 2 3 2 3 2 3 3Machine-11
3 3 3 3 4 3 3 3 3Negri-9
3 3 3 3 3 3 3 3 3 1Negri-10
3 3 3 5 3 3 3 5Octokaidecal-8
3 3 3 3 2 3 3 3 3 2Octokaidecal-10
3 3 5 3 3 3 5 3Supersharp-8
3 3 3 2 3 3 3 3 2 3Supersharp-10
5 2 2 2 2 5 2 2 2 2 2Thuja-13
3 2 2 2 2 2 3 2 2 2 2 2 2Thuja-15
1 3 1 3 1 3 1 3 1 3 1 3 1 3Whitewood-14

29 tone equal modes:

3 2 2 3 2 3 2 3 2 2 3 2Twelve-tone Chromatic (1/14-comma positive)
5 5 2 5 5 5 2Twenty-nine tone Major
5 2 5 5 2 5 5Twenty-nine tone Minor
5 4 3 5 4 5 3Twenty-nine tone "Just" Major
5 3 4 5 3 4 5Twenty-nine tone "Just" Minor
5 3 4 5 3 5 4Twenty-nine tone Natural Minor
5 3 4 5 4 5 3Twenty-nine tone Melodic Minor
5 3 4 5 3 6 3Twenty-nine tone Harmonic Minor
5 4 3 5 3 6 3Twenty-nine tone Harmonic Major
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2Belauensis-15
5 6 6 6 6Immunity-5
5 5 1 5 1 5 1 5 1Immunity-9
4 3 3 3 3 4 3 3 3Isopelogic-9
1 3 3 3 3 3 1 3 3 3 3Isopelogic-11
3 3 3 2 3 3 3 3 3 3Keenan Decatonic
2 2 2 3 2 2 2 2 2 2 2 2 2 2Nautilus-14
3 3 3 3 5 3 3 3 3Negri-9
3 3 3 3 3 3 3 3 3 2Negri-10
4 4 4 5 4 4 4Miller's Porcupine-7
4 5 4 4 4 4 4Miller's Porcupine-7 Major
4 4 4 4 4 4 4 1Miller's Porcupine-8
4 4 1 4 4 4 4 4Jones's Porcupine-8
5 4 4 4 4 4 4Porky-7
2 3 2 2 3 2 3 2 2 3 2 3Schismic-12
6 6 5 6 6Quasi-equal Pentatonic, Semaphore-5
5 1 5 1 5 1 5 1 5Semaphore-9
4 3 4 3 4 4 3 4Tridec-8

30 tone equal modes:

5 5 2 6 5 5 2Thirty tone "Major"
5 2 5 6 2 5 5Thirty tone "Minor"
10 3 10 5 2Madenda: Sunda
3 3 2 3 3 3 2 3 3 3 2Balzano Eleven-tone
2 3 3 3 2 3 3 3 2 3 3Balzano Eleven-tone inverse
5 1 4 2 3 3 2 4 1 5Equal temperaments 5 and 6 mixed
2 2 2 3 2 2 2 2 2 2 3 2 2 2Bipelog-14
3 4 3 3 4 3 3 4 3Deflated-9
3 2 3 2 3 2 3 2 3 2 3 2Hexe-12
9 4 4 9 4Mavila-5
4 5 4 4 5 4 4Mavila-7
4 1 4 4 4 1 4 4 4Mavila-9
3 8 3 8 8Mechanism-5
3 3 5 3 3 5 3 5Mechanism-8
3 2 3 3 3 2 3 3 3 2 3Mechanism-11
4 4 4 5 4 4 5Pelogic-7
3 2 2 3 2 2 3 2 2 3 2 2 2Ragimetric-13
3 2 3 3 3 2 3 3 2 3 3Stacks-11

31 tone equal modes:

2 3 3 2 3 2 3 2 3 3 2 3Meantone Chromatic (53/220-comma)
5 5 3 5 5 5 3Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
5 3 5 5 3 5 5Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
5 3 5 5 5 5 3Thirty-one tone Melodic Minor
5 3 5 5 3 7 3Thirty-one tone Harmonic Minor
5 5 3 5 3 7 3Thirty-one tone Harmonic Major
5 5 3 5 3 5 5Thirty-one tone Major-Minor
5 8 5 13Genus primum
10 3 5 5 5 3Genus secundum
8 2 8 3 7 3Genus tertium
10 10 10 1Genus quartum
5 7 6 7 5 1Genus quintum
4 6 2 6 4 3 3 3Genus sextum
4 6 5 6 4 6Genus septimum
6 6 6 1 6 6Genus octavum
4 6 9 6 4 2Genus nonum
13 6 6 6Genus decimum
5 5 3 5 5 3 2 3Genus diatonicum
3 5 2 3 5 3 2 5 3Genus chromaticum
5 5 2 1 5 5 2 3 3Genus diatonicum cum septimis
3 4 3 3 2 1 4 1 4 1 2 3Genus enharmonicum vocale
2 2 4 2 2 3 3 3 1 3 3 3Genus enharmonicum instrumentale
3 2 3 2 3 2 3 3 2 3 2 3Genus diatonico-chromaticum
5 2 1 2 5 3 2 1 4 1 2 3Genus bichromaticum
2 3 2 3 3 2 3 3 2 2 3 3Hexy
2 3 3 2 3 5 2 1 2 3 2 3Major Wing
5 3 2 3 3 2 3 2 3 2 1 2Minor Wing
2 1 1 1 5 2 5 1 1 1 2 3 3 3Dekatesserany
7 6 5 7 6Septimal Minor Pentatonic
3 5 5 5 3 7 3Neapolitan Minor, Hungarian Gipsy
3 7 3 5 3 7 3Major Gipsy, Double Harmonic Major
5 3 7 3 3 5 5Minor Gipsy
5 3 7 3 3 7 3Double Harmonic Minor, Hungarian Minor
3 2 2 3 3 2 3 3 2 2 3 3Fokker 12-tone
5 3 5 3 5 2 5 3Diminished, Modus conjunctus
3 5 2 5 3 5 3 5Octatonic
4 4 5 4 4 5 5Neutral Diatonic Mixolydian
4 5 4 4 5 5 4Neutral Diatonic Lydian
5 4 4 5 5 4 4Neutral Diatonic Phrygian, Rast
4 4 5 5 4 4 5Neutral Diatonic Dorian
4 5 5 4 4 5 4Neutral Diatonic Hypolydian
5 5 4 4 5 4 4Neutral Diatonic Hypophrygian
5 4 4 5 4 4 5Neutral Diatonic Hypodorian
4 5 4 4 5 4 5Neutral Mixolydian
5 4 4 5 4 5 4Neutral Lydian
4 4 5 4 5 4 5Neutral Phrygian
4 5 4 5 4 5 4Neutral Dorian
5 4 5 4 5 4 4Neutral Hypolydian, Mohajira-7
4 5 4 5 4 4 5Neutral Hypophrygian
5 4 5 4 4 5 4Neutral Hypodorian
2 2 9 2 2 9 5Hemiolic Chromatic Mixolydian
2 9 2 2 9 5 2Hemiolic Chromatic Lydian
9 2 2 9 5 2 2Hemiolic Chromatic Phrygian
2 2 9 5 2 2 9Hemiolic Chromatic Dorian
2 9 5 2 2 9 2Hemiolic Chromatic Hypolydian
9 5 2 2 9 2 2Hemiolic Chromatic Hypophrygian
5 2 2 9 2 2 9Hemiolic Chromatic Hypodorian
2 3 8 2 3 8 5Ratio 2:3 Chromatic Mixolydian
3 8 2 3 8 5 2Ratio 2:3 Chromatic Lydian
8 2 3 8 5 2 3Ratio 2:3 Chromatic Phrygian
2 3 8 5 2 3 8Ratio 2:3 Chromatic Dorian
3 8 5 2 3 8 2Ratio 2:3 Chromatic Hypolydian
8 5 2 3 8 2 3Ratio 2:3 Chromatic Hypophrygian
5 2 3 8 2 3 8Ratio 2:3 Chromatic Hypodorian
3 5 5 3 5 5 5Intense Diatonic Mixolydian, M.Locrian
5 3 5 5 5 3 5Intense Diatonic Phrygian, M.Dorian
3 5 5 5 3 5 5Intense Diatonic Dorian, M.Phrygian
5 5 5 3 5 5 3Intense Diatonic Hypolydian, M.Lydian
5 5 3 5 5 3 5Intense Diatonic Hypophrygian, M.Mixolydian
2 5 6 2 5 6 5Soft Diatonic Mixolydian
5 6 2 5 6 5 2Soft Diatonic Lydian
6 2 5 6 5 2 5Soft Diatonic Phrygian
2 5 6 5 2 5 6Soft Diatonic Dorian
5 6 5 2 5 6 2Soft Diatonic Hypolydian
6 5 2 5 6 2 5Soft Diatonic Hypophrygian
5 2 5 6 2 5 6Soft Diatonic Hypodorian
1 2 10 1 2 10 5Enharmonic Mixolydian
2 10 1 2 10 5 1Enharmonic Lydian
10 1 2 10 5 1 2Enharmonic Phrygian
1 2 10 5 1 2 10Enharmonic Dorian
2 10 5 1 2 10 1Enharmonic Hypolydian
10 5 1 2 10 1 2Enharmonic Hypophrygian
5 1 2 10 1 2 10Enharmonic Hypodorian
6 6 7 6 6Quasi-equal Pentatonic, Mothra-5
4 3 3 5 3 3 4 3 3Hahn Trichordal
3 3 4 3 5 3 4 3 3Hahn Symmetrical Pentachordal
3 4 3 3 5 3 4 3 3Hahn Pentachordal
4 4 2 5 3 3 4 3 3Hahn Nonatonic
4 1 4 4 4 1 4 4 1 4Breed Decatonic
4 2 4 2 4 2 4 3 3 3Lumma Decatonic
1 5 1 3 3 3 1 5 1 2 4 2Hexany Flanker
1 4 2 3 2 2 4 2 3 2 3 3Secor 12-tone
5 1 5 1 5 1 5 1 5 1 1de Vries 11-tone, Mothra-11
1 4 4 1 4 4 4 1 4 4Neutral Hypolydian Decatonic, Mohajira-10
4 1 4 4 1 4 4 4 1 4Neutral Dorian Decatonic
5 3 3 3 3 5 3 3 3Rothenberg Generalized Diatonic
5 2 6 5 2 5 6"Septimal" Natural Minor
5 5 3 1 4 5 4 1 3Naga
3 2 3 2 1 5 2 3 3 2 2 3Duohex
2 3 2 4 2 3 2 2 3 3 3 2Heathwaite's Meteoroid
1 7 1 2 1 7 1 2 1 7 1Nested Bees
3 7 1 7 3 5 5Strange Diatonic
3 1 3 1 5 1 3 1 3 1 5 1 3Tancuva
3 3 3 3 3 3 3 4 3 3Apparatus-10
3 3 3 3 3 3 3 3 1 3 3Apparatus-11
3 4 4 4 4 4 4 4Greeley-8
3 3 1 3 1 3 1 3 1 3 1 3 1 3 1Greeley-15
5 5 5 5 5 6Hemithirds-6, Roulette-6
5 5 5 5 5 5 1Hemithirds-7, Roulette-7
4 1 4 1 4 1 4 1 4 1 4 1 1Hemithirds-13, Roulette-13
5 3 3 3 5 3 3 3 3Joan-9
2 3 3 3 3 2 3 3 3 3 3Joan-11, Score-11
3 2 3 2 3 2 3 3 3 1 3 3Marvel-12
1 4 4 1 4 4 1 4 4 4Migration-10
3 3 3 3 3 3 3 3 3 4Miracle-10
3 3 3 3 3 3 3 3 3 1 2 1Miracle-12
7 1 7 1 7 1 7Myna-7
1 6 1 1 6 1 6 1 1 6 1Myna-11
1 1 5 1 1 1 5 1 1 1 5 1 1 5 1Myna-15
7 7 7 7 3Orwell-5
4 3 4 3 4 3 4 3 3Orwell-9
1 3 3 1 3 3 1 3 3 1 3 3 3Orwell-13
8 3 3 8 3 3 3Score-7
3 5 3 3 3 5 3 3 3Score-9
2 7 2 7 2 2 7 2Sentinel-8
2 5 2 2 5 2 2 2 5 2 2Secor Sentinel-11
2 3 2 2 2 3 2 2 2 2 3 2 2 2Sentinel-14
3 2 3 2 2 3 2 3 2 2 3 2 2Semisept-13
6 6 6 7 6Slendric-5
5 1 5 1 5 1 5 1 1 5 1Slendric-11
5 2 2 5 2 2 2 5 2 2 2Squares-11
3 2 2 2 3 2 2 2 2 3 2 2 2 2Squares-14
2 4 2 2 3 3 2 3 2 3 3 2Starling-12
2 2 2 2 2 2 2 2 2 2 2 3 2 2 2Tertiaseptal-15, Valentine-15
7 6 6 6 6Wonder-5
5 1 1 5 1 5 1 5 1 5 1Wonder-11
7 1 1 1 7 1 1 1 7 1 1 1 1Wurschmidt-13

32 tone equal modes:

6 4 3 6 4 6 3Thirty-two tone "Major"
6 3 4 6 3 6 4Thirty-two tone "Minor"
7 6 6 7 6Septimal Minor Pentatonic
5 3 5 3 5 3 5 3Diminished
3 5 3 5 3 5 3 5Octatonic
4 5 5 4 5 4 5Dicot-7
3 3 2 3 3 2 3 3 2 3 3 2Diminished-12
5 5 5 5 2 5 5Glacial-7
3 2 3 2 3 2 3 2 2 3 2 3 2Glacial-13
4 1 4 1 4 4 1 4 4 1 4Mohavila-11
3 3 3 1 3 3 3 3 3 1 3 3Pajaro-12
2 3 2 2 2 2 2 2 2 3 2 2 2 2 2Progress-15
5 5 4 5 4 5 4Sixix-7
3 4 3 4 3 4 3 4 4Superpelog-9
3 3 1 3 3 1 3 3 1 3 3 1 3 1Superpelog-14

33 tone equal modes:

5 3 3 5 3 3 5 3 3August-9
2 3 3 3 2 3 3 3 2 3 3 3August-12
5 5 5 5 3 5 5Bluebirds-7
2 3 2 3 2 3 2 3 3 2 3 2 3Bluebirds-13
5 7 7 7 7Godzilla-5
5 5 2 5 2 5 2 5 2Godzilla-9
3 2 3 2 2 3 2 2 3 2 2 3 2 2Godzilla-14
5 2 2 2 5 2 2 2 5 2 2 2Inflated-12
2 3 2 2 2 2 3 2 2 2 2 3 2 2 2Inflated-15
1 5 5 1 5 5 1 5 5Terrain-9
1 4 1 4 1 1 4 1 4 1 1 4 1 4 1Terrain-15
5 5 1 5 5 1 5 5 1Shallert's mode, Terrain-9 inverse
5 2 2 2 2 2 2 2 2 2 2 2 2 2 2Slurpee-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 3Thirty-four tone "Just" Major
6 3 5 6 3 5 6Thirty-four tone "Just" Minor
6 3 5 6 3 6 5Thirty-four tone Natural Minor
6 3 5 6 5 6 3Thirty-four tone Melodic Minor
6 3 5 6 3 8 3Thirty-four tone Harmonic Minor
6 5 3 6 3 8 3Thirty-four tone Harmonic Major
3 6 2 3 6 3 2 6 3Genus chromaticum
7 7 6 7 7Quasi-equal Pentatonic
3 3 4 3 4 3 3 4 3 4Anguirus-10
3 1 3 3 1 3 3 3 1 3 3 1 3 3Anguirus-14
3 4 3 4 3 3 4 3 4 3Decimal-10
3 3 1 3 3 3 1 3 3 1 3 3 3 1Decimal-14
3 3 3 5 3 3 3 3 5 3Diaschismic-10, Pajara-10
3 3 3 2 3 3 3 3 3 2 3 3Diaschismic-12, Pajara-12
6 7 7 7 7Immunity-5
6 6 1 6 1 6 1 6 1Immunity-9
3 3 2 3 3 3 3 3 2 3 3 3Jubilee-12
2 7 2 7 2 7 7Kleismic-7
2 2 5 2 5 2 2 5 2 2 5Kleismic-11
2 2 2 3 2 2 2 3 2 2 2 3 2 2 3Kleismic-15
4 4 3 4 4 4 4 3 4Mabila-9
3 3 3 1 3 3 3 3 3 3 3 3Ripple-12
2 5 2 2 3 4 2 3 2 4 3 2Starling-12
5 5 5 5 5 5 4Tetracot-7
1 4 1 4 1 4 1 4 4 1 4 1 4Tetracot-13
5 2 2 2 2 2 2 5 2 2 2 2 2 2Vishnu-14
2 5 2 5 2 2 5 2 2 5 2Wilson 11-tone
8 1 1 1 8 1 1 1 8 1 1 1 1Wurschmidt-13
5 3 3 3 5 3 3 3 3 3Pentachordal Decatonic

35 tone equal modes:

3 4 3 4 3 4 3 4 3 4Blacksmith-10
3 1 3 3 1 3 3 1 3 3 1 3 3 1 3Blacksmith-15
9 2 9 2 2 9 2Magic-7
7 2 2 2 7 2 2 7 2 2Magic-10
5 2 2 2 5 2 2 2 5 2 2 2 2Magic-13
2 2 5 2 2 2 5 2 2 2 2 5 2Muggles-13
4 4 4 4 4 4 4 4 3Progression-9
3 3 3 2 3 3 3 3 3 3 3 3Ripple-12
3 2 3 2 3 2 3 2 3 2 3 2 3 2Septimal-14
3 3 3 3 3 3 3 3 2 3 3 3Twelve-35-12
1 4 1 4 1 4 1 4 1 4 1 4 1 4Whitewood-14

36 tone equal modes:

5 10 6 5 10Nam Hue: Vietnam
1 1 13 1 1 13 6Hyperenharmonic Mixolydian
1 13 1 1 13 6 1Hyperenharmonic Lydian
13 1 1 13 6 1 1Hyperenharmonic Phrygian
1 1 13 6 1 1 13Hyperenharmonic Dorian
1 13 6 1 1 13 1Hyperenharmonic Hypolydian
13 6 1 1 13 1 1Hyperenharmonic Hypophrygian
6 1 1 13 1 1 13Hyperenharmonic Hypodorian
2 2 11 2 2 11 6Soft Chromatic Mixolydian
2 11 2 2 11 6 2Soft Chromatic Lydian
11 2 2 11 6 2 2Soft Chromatic Phrygian
2 2 11 6 2 2 11Soft Chromatic Dorian
2 11 6 2 2 11 2Soft Chromatic Hypolydian
11 6 2 2 11 2 2Soft Chromatic Hypophrygian
6 2 2 11 2 2 11Soft Chromatic Hypodorian
2 4 9 2 4 9 6Ratio 1:2 Chromatic Mixolydian
4 9 2 4 9 6 2Ratio 1:2 Chromatic Lydian
9 2 4 9 6 2 4Ratio 1:2 Chromatic Phrygian
2 4 9 6 2 4 9Ratio 1:2 Chromatic Dorian
4 9 6 2 4 9 2Ratio 1:2 Chromatic Hypolydian
9 6 2 4 9 2 4Ratio 1:2 Chromatic Hypophrygian
6 2 4 9 2 4 9Ratio 1:2 Chromatic Hypodorian
5 5 5 5 5 5 6Equal Diatonic Mixolydian
5 5 5 5 5 6 5Equal Diatonic Lydian
5 5 5 5 6 5 5Equal Diatonic Phrygian
5 5 5 6 5 5 5Equal Diatonic Dorian
5 5 6 5 5 5 5Equal Diatonic Hypolydian
5 6 5 5 5 5 5Equal Diatonic Hypophrygian
6 5 5 5 5 5 5Equal Diatonic Hypodorian
2 7 6 2 7 6 6Diatonic + Soft Chromatic Diesis Mixolydian
7 6 2 7 6 6 2Diatonic + Soft Chromatic Diesis Lydian
6 2 7 6 6 2 7Diatonic + Soft Chromatic Diesis Phrygian
2 7 6 6 2 7 6Diatonic + Soft Chromatic Diesis Dorian
7 6 6 2 7 6 2Diatonic + Soft Chromatic Diesis Hypolydian
6 6 2 7 6 2 7Diatonic + Soft Chromatic Diesis Hypophrygian
6 2 7 6 2 7 6Diatonic + Soft Chromatic Diesis Hypodorian
4 7 4 6 4 7 4Savas Soft Chromatic 2nd Byzantine mode
4 6 5 6 4 6 5Savas Diatonic Byzantine Liturgical mode
4 8 3 6 4 8 3Savas Enharmonic Byzantine Liturgical mode
3 10 2 6 3 10 2Hard Chromatic 2nd plagal Byzantine mode
5 4 6 6 5 4 6First plagal Byzantine Liturgical mode ascending
5 4 6 6 3 6 6First plagal Byzantine Liturgical mode descending
6 5 4 6 6 5 4Fourth plagal Byzantine Liturgical mode
5 7 5 7 5 7Augment-6
5 2 5 5 2 5 5 2 5Augment-9
2 3 2 3 2 2 3 2 3 2 2 3 2 3 2Augment-15
3 4 4 3 4 3 4 4 3 4Echidnic-10
3 5 3 3 5 3 3 5 3 3Golden-10
3 3 2 3 3 3 2 3 3 3 2 3 3Golden-13
3 5 5 5 3 5 5 5Hedgehog-8
3 2 3 3 2 3 2 3 2 3 3 2 3 2Hedgehog-14
7 7 8 7 7Quasi-equal Pentatonic
7 7 7 8 7Slendric-5
6 1 6 1 6 1 6 1 1 6 1Slendric-11
3 2 2 3 2 3 2 2 3 2 3 2 2 3 2Ternary-15
3 3 2 3 2 3 2 3 3 2 3 2 3 2Urchin-14
8 7 7 7 7Wonder-5
6 1 1 6 1 6 1 6 1 6 1Wonder-11
4 5 4 5 4 5 4 5Quasi-equal Octatonic
3 4 4 3 4 4 3 3 4 4Bohlen 833 cents Golden scale

Persian modes as 36 tone equal modes:

4 5 6 4 2 3 1 5 6Dastgah-e Shur
4 5 6 6 3 1 5 6Dastgah-e Abuata
3 1 5 6 4 2 3 1 5 6Dastgah-e Dashti
3 3 6 3 6 6 4 5Dastgah-e Bayat-e Tork
6 4 5 6 4 2 3 1 5Dastgah-e Afshari
5 6 4 5 1 5 6 4Dastgah-e Segah
4 8 3 6 4 8 3Dastgah-e Chahargah
4 8 3 6 3 1 5 6Dastgah-e Homayun
6 3 6 6 4 6 5Dastgah-e Bayat-e Esfahan
6 3 6 6 4 5 6Dastgah-e Nava
6 6 3 6 6 3 3 3Dastgah-e Mahur, Rast (Rast Panjgah)

37 tone equal modes:

5 5 5 7 5 5 5Miller's Porcupine-7
5 7 5 5 5 5 5Miller's Porcupine-7 Major
5 5 5 5 5 5 5 2Miller's Porcupine-8
3 2 3 2 2 3 2 3 2 3 2 3 2 3 2Porcupine-15
2 2 2 7 2 2 2 7 2 2 7Bossier-11
2 2 2 5 2 2 2 2 5 2 2 2 5 2Bossier-14
7 4 4 7 4 7 4Dichotic-7
3 4 4 4 3 4 4 3 4 4Dichotic-10
5 3 3 3 3 5 3 3 3 3 3Freivald-11
2 3 3 3 3 3 2 3 3 3 3 3 3Freivald-13
7 7 7 7 7 2Gorgo-6
2 7 7 5 2 7 7Gorgo-Pelog
2 5 2 5 2 5 2 5 2 5 2Gorgo-11
3 7 7 3 7 3 7Orgone-7
3 3 4 3 4 3 3 4 3 3 4Orgone-11
3 3 3 3 5 3 3 3 3 3 5Parizek-11
3 3 3 3 3 2 3 3 3 3 3 3 2Parizek-13
3 3 3 3 3 3 4 3 3 3 3 3Passion-12
6 6 6 6 6 7Roulette-6
6 6 6 6 6 6 1Roulette-7
5 1 5 1 5 1 5 1 5 1 5 1 1Roulette-13
7 4 7 4 7 4 4Sharp-7
3 4 4 3 4 4 3 4 4 4Sharp-10
4 4 4 3 4 4 3 4 4 3Silver-10
5 2 5 2 5 2 5 2 2 5 2Spartan-11
3 5 8 5 3 5 8Superpelog-Pelog
3 5 3 5 3 5 3 5 5Superpelog-9
3 3 2 3 3 2 3 3 2 3 3 2 3 2Superpelog-14
5 4 5 4 5 5 4 5Tridec-8
4 4 4 4 4 4 4 4 5Twothirdtonic-9
5 3 1 5 5 3 1 5 3 1 5Clanghats
1 8 3 1 8 3 1 8 3 1Diamond Gate
2 5 2 5 1 2 5 2 5 2 5 1Escapescapes
7 5 5 5 5 4 6Otonal Major

38 tone equal modes:

7 5 7 7 5 7Astrology-6
5 2 5 5 2 5 2 5 5 2Astrology-10
3 5 3 5 3 3 5 3 5 3Decimal-10
3 3 2 3 3 3 2 3 3 2 3 3 3 2Decimal-14
3 3 3 3 3 4 3 3 3 3 3 4Injera-12
3 3 3 3 3 3 1 3 3 3 3 3 3 1Injera-14
6 5 6 5 6 5 5Ptolemy-7
2 2 5 2 2 5 2 2 5 2 2 2 5Subklei-13
4 4 7 4 4 4 7 4Supersharp-8
4 4 4 3 4 4 4 4 3 4Supersharp-10

39 tone equal modes:

5 2 2 5 2 5 2 5 2 2 5 2Twelve-tone Chromatic (1/4-comma positive)
6 5 6 5 6 6 5Amity-7
5 7 5 5 5 7 5Armodue-7
5 5 5 2 5 5 5 5 2Armodue-9
10 3 10 3 10 3Augmented-6
3 7 3 3 7 3 3 7 3Augmented-9
3 3 4 3 3 3 4 3 3 3 4 3Augmented-12
3 3 1 3 3 3 3 1 3 3 3 3 1 3 3Augmented-15
5 6 6 5 6 5 6Dicot-7
7 8 8 8 8Immunity-5
7 7 1 7 1 7 1 7 1Immunity-9
7 7 4 7 7 7Machine-6
3 4 3 4 3 4 3 4 3 4 4Machine-11
5 7 5 5 7 5 5Mavila-7
5 2 5 5 5 2 5 5 5Mavila-9
5 1 5 1 5 5 1 5 5 1 5Mohavila-11
4 4 4 4 7 4 4 4 4Negri-9
4 4 4 4 4 4 4 4 4 3Negri-10
8 8 7 8 8Quasi-equal Pentatonic
2 2 5 2 5 2 5 2 2 5 2 5Quasisuper-12
9 7 7 9 7Supra-5
7 2 7 7 7 2 7Supra-7
2 5 2 5 2 2 5 2 5 2 5 2Supra-12
5 5 3 5 5 3 5 5 3Triforce-9
2 3 2 3 3 2 3 2 3 3 2 3 2 3 3Triforce-15

40 tone equal modes:

4 5 13 4 14Surupan Melog jawar: Java
5 4 14 4 13Surupan Miring: Java
5 4 13 5 13Surupan Ajeng: Java
7 3 7 3 7 3 7 3Diminished
3 7 3 7 3 7 3 7Octatonic
5 3 5 3 5 3 5 3 5 3Archytas Clan-10
2 3 3 2 3 3 2 3 3 2 3 3 2 3 3Archytas Clan-15
3 5 3 5 3 5 3 5 3 5Blacksmith-10
3 2 3 3 2 3 3 2 3 3 2 3 3 2 3Blacksmith-15
3 3 4 3 3 4 3 3 4 3 3 4Diminished-12, Demolished-12
2 2 5 2 2 2 5 2 2 5 2 2 2 5Fleetwood-14
3 3 3 3 3 5 3 3 3 3 3 5Injera-12
3 3 3 3 3 3 2 3 3 3 3 3 3 2Injera-14
4 1 4 4 1 4 4 1 4 4 4 1 4Laz-13

41 tone equal modes:

4 3 3 4 3 4 3 4 3 3 4 3Twelve-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 3Forty-one tone Major
7 3 7 7 3 7 7Forty-one tone Minor
7 6 4 7 6 7 4Forty-one tone "Just" Major
7 4 6 7 4 7 6Forty-one tone "Just" Minor
7 4 6 7 4 6 7Forty-one tone Natural Minor
7 4 6 7 6 7 4Forty-one tone Melodic Minor
7 4 6 7 4 9 4Forty-one tone Harmonic Minor
7 6 4 7 4 9 4Forty-one tone Harmonic Major
5 5 5 3 5 5 5 5 3Armodue-9
2 5 5 5 2 5 5 2 5 5Beatles-10
2 5 5 2 5 5 2 5 5 5Hemififths-10
5 5 3 5 5 5 5 3 5Mabila-9
11 2 11 2 13 2Magic-6
11 2 11 2 2 11 2Magic-7
9 2 2 2 9 2 2 9 2 2Magic-10
7 2 2 2 7 2 2 2 7 2 2 2 2Magic-13
5 7 5 7 5 7 5Maqamic-7
5 2 5 5 2 5 5 5 2 5Maqamic-10
4 3 4 2 4 3 4 4 4 1 4 4Marvel-12
5 8 5 5 8 5 5Mavila-7
5 3 5 5 5 3 5 5 5Mavila-9
4 4 7 4 4 7 4 7Mechanism-8
4 3 4 4 4 3 4 4 4 3 4Mechanism-11
4 4 4 4 4 4 4 4 4 5Miracle-10
4 4 4 4 4 4 4 4 4 1 3 1Miracle-12
7 5 7 5 7 5 5Mohajira-7
2 5 5 2 5 5 5 2 5 5Mohajira-10
3 3 3 3 3 3 3 3 3 3 3 3 3 2Octacot-14
8 3 8 3 8 3 8Superkleismic-7
3 5 3 5 3 3 5 3 3 5 3Superkleismic-11
2 3 3 3 2 3 3 3 2 3 3 3 2 3 3Superkleismic-15
3 4 3 3 4 3 4 3 3 4 3 4Schismic-12
4 5 4 5 4 5 4 5 5Septimin-9
4 4 1 4 4 1 4 4 1 4 4 1 4 1Septimin-14
4 3 4 4 4 3 4 4 3 4 4Stacks-11
8 8 8 9 8Rodan-5
7 1 7 1 7 1 7 1 1 7 1Rodan-11
6 6 6 6 6 6 5Tetracot-7
1 5 1 5 1 5 1 5 5 1 5 1 5Tetracot-13
11 11 11 8Magical Seventh
8 8 9 8 8Quasi-equal Pentatonic
3 3 5 3 3 3 4 3 3 5 3 3Nakika

42 tone equal modes:

3 8 3 3 8 3 3 8 3Augene-9
3 3 5 3 3 3 5 3 3 3 5 3Augene-12
3 3 3 2 3 3 3 3 2 3 3 3 3 2 3Augene-15
4 3 3 3 3 4 3 3 3 4 3 3 3Balzano-13
4 3 4 3 4 3 4 3 4 3 4 3Hexe-12
7 4 4 4 7 4 4 4 4Joan-9
3 4 4 4 4 3 4 4 4 4 4Joan-11
8 5 8 8 5 8Lemba-6
5 3 5 3 5 5 3 5 3 5Lemba-10
4 4 4 1 4 4 4 4 4 1 4 4Pajaro-12

43 tone equal modes:

3 4 4 3 4 3 4 3 4 4 3 4Meantone Chromatic (1/5-comma)
4 3 4 3 4 3 4 4 3 4 3 4Genus diatonico-chromaticum
7 7 4 7 7 7 4Forty-three tone Major
7 4 7 7 4 7 7Forty-three tone Natural Minor
7 4 7 7 7 7 4Forty-three tone Melodic Minor
7 4 7 7 4 10 4Forty-three tone Harmonic Minor
7 7 4 7 4 10 4Forty-three tone Harmonic Major
3 3 12 3 3 12 7Parachromatic Mixolydian
3 12 3 3 12 7 3Parachromatic Lydian
12 3 3 12 7 3 3Parachromatic Phrygian
3 3 12 7 3 3 12Parachromatic Dorian
3 12 7 3 3 12 3Parachromatic Hypolydian
12 7 3 3 12 3 3Parachromatic Hypophrygian
7 3 3 12 3 3 12Parachromatic Hypodorian
3 6 9 3 6 9 7Soft Diatonic Mixolydian
6 9 3 6 9 7 3Soft Diatonic Lydian
9 3 6 9 7 3 6Soft Diatonic Phrygian
3 6 9 7 3 6 9Soft Diatonic Dorian
6 9 7 3 6 9 3Soft Diatonic Hypolydian
9 7 3 6 9 3 6Soft Diatonic Hypophrygian
7 3 6 9 3 6 9Soft Diatonic Hypodorian
5 7 7 5 7 5 7Dicot-7
7 9 9 9 9Godzilla-5
7 7 2 7 2 7 2 7 2Godzilla-9
5 2 5 2 2 5 2 2 5 2 2 5 2 2Godzilla-14
5 5 5 5 5 5 5 5 3Jerome-9, Progression-9
3 3 5 3 5 3 5 3 5 3 5Kumonga-11
5 5 4 5 5 5 5 4 5Mabila-9
3 3 3 4 3 3 3 3 3 3 3 3 3 3Nautilus-14
5 4 4 5 4 4 5 4 4 4Submajor-10
5 3 3 3 3 3 5 3 3 3 3 3 3Thuja-13
2 3 3 3 3 3 3 2 3 3 3 3 3 3 3Thuja-15

44 tone equal modes:

3 8 3 8 3 8 3 8Octatonic
8 3 8 3 8 3 8 3Diminished
5 6 5 6 5 6 5 6Quasi-equal Octatonic
8 5 5 8 5 8 5Beatles-7, Dichotic-7
3 5 5 5 3 5 5 3 5 5Beatles-10, Dichotic-10
3 3 3 4 3 3 3 3 3 3 4 3 3 3Bipelog-14
2 7 2 2 7 2 2 7 2 2 7 2Blackbirds-12
4 9 9 4 9 9Decibel-6
3 3 5 3 3 5 3 3 5 3 3 5Demolished-12
4 4 3 4 4 3 4 4 3 4 4 3Diminished-12
3 3 3 5 3 3 3 3 3 3 3 3 3 3Nautilus-14
5 5 5 5 5 5 5 5 4Progression-9
4 3 4 3 3 4 3 4 3 3 4 3 3Semisept-13
7 7 7 7 7 7 2Spell-7
5 2 5 2 5 2 5 2 5 2 5 2 2Spell-13
6 2 7 5 4 5 7 2 6Lampooning Rushes

45 tone equal modes:

2 5 5 2 5 2 5 2 5 5 2 5Meantone Chromatic (2/5-comma)
7 7 5 7 7 7 5Forty-five tone Major
7 5 7 7 5 7 7Forty-five tone Minor
7 4 4 7 4 4 7 4 4August-9
3 4 4 4 3 4 4 4 3 4 4 4August-12
4 5 4 5 4 5 4 5 4 5Ferrum-10
2 5 5 2 5 2 5 5 2 5 2 5Flattone-12
7 7 7 7 3 7 7Glacial-7
4 3 4 3 4 3 4 3 3 4 3 4 3Glacial-13
8 8 5 8 8 8Machine-6
3 5 3 5 3 5 3 5 3 5 5Machine-11
7 6 7 6 7 6 6Ptolemy-7
4 4 4 1 4 4 4 4 4 4 4 4Ripple-12
7 3 3 7 3 3 3 7 3 3 3Squares-11
4 3 3 3 4 3 3 3 3 4 3 3 3 3Squares-14

46 tone equal modes:

5 3 3 5 3 5 3 5 3 3 5 3Twelve-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 4Forty-six tone "Just" Major
8 4 7 8 4 7 8Forty-six tone "Just" Minor
8 4 7 8 4 8 7Forty-six tone Natural Minor
8 4 7 8 7 8 4Forty-six tone Melodic Minor
8 4 7 8 4 11 4Forty-six tone Harmonic Minor
8 7 4 8 4 11 4Forty-six tone Harmonic Major
8 6 5 8 6 5 8Rast
8 6 5 8 8 6 5Arabic Diatonic
7 6 7 6 7 7 6Amity-7
3 3 3 5 3 3 3 3 3 3 5 3 3 3Bipelog-14
7 7 7 7 4 7 7Bluebirds-7
3 4 3 4 3 4 3 4 4 3 4 3 4Bluebirds-13
4 4 4 7 4 4 4 4 7 4Diaschismic-10, Pajara-10
4 4 4 3 4 4 4 4 4 3 4 4Diaschismic-12, Pajara-12
4 5 5 4 5 4 5 5 4 5Echidnic-10
4 3 3 4 3 3 3 4 3 3 4 3 3 3Hemiamity-14
5 5 5 8 5 5 5 8Octokaidecal-8
5 5 5 5 3 5 5 5 5 3Octokaidecal-10
5 5 5 2 3 2 5 5 5 4 1 4Plum
9 9 9 10 9Rodan-5
8 1 8 1 8 1 8 1 1 8 1Rodan-11
3 5 3 3 5 3 5 3 3 5 3 5Schism-12
5 5 7 5 5 7 5 7Sensi-8
5 5 5 2 5 5 5 2 5 5 2Sensi-11
3 6 3 3 4 5 3 4 3 5 4 3Starling-12
5 5 5 5 5 5 5 5 6Twothirdtonic-9
3 3 3 3 3 3 3 3 3 3 3 4 3 3 3Valentine-15
7 4 4 4 7 4 4 4 4 4Pentachordal Decatonic
3 9 3 9 3 7 5 7Smith's Star
5 7 3 9 3 7 5 7Smith's Nova
4 4 7 4 4 4 4 7 4 4Symmetrical Decatonic

47 tone equal modes:

8 7 8 8 8 8Baldy-6
7 1 7 1 7 1 7 7 1 7 1Baldy-11
7 3 3 3 3 3 7 3 3 3 3 3 3Kangaroo-13
5 5 5 5 7 5 5 5 5Negri-9
5 5 5 5 5 5 5 5 5 2Negri-10
3 4 3 3 3 3 3 3 3 4 3 3 3 3 3Progress-15
5 3 3 5 3 3 5 3 3 5 3 3 3Ragimetric-13
4 4 4 3 4 4 4 4 4 4 4 4Ripple-12
9 5 9 5 9 5 5Sharp-7
4 5 5 5 4 5 5 4 5 5Sharp-10
5 5 5 4 5 5 4 5 5 4Silver-10
7 2 7 2 7 2 7 2 2 7 2Spartan-11
5 5 3 5 5 3 5 5 3 5 3Wilson Golden-11

48 tone equal modes:

3 3 14 3 3 14 8Hemiolic Chromatic Mixolydian
3 14 3 3 14 8 3Hemiolic Chromatic Lydian
14 3 3 14 8 3 3Hemiolic Chromatic Phrygian
3 3 14 8 3 3 14Hemiolic Chromatic Dorian
3 14 8 3 3 14 3Hemiolic Chromatic Hypolydian
14 8 3 3 14 3 3Hemiolic Chromatic Hypophrygian
8 3 3 14 3 3 14Hemiolic Chromatic Hypodorian
5 5 10 5 5 10 8Soft Diatonic Mixolydian
5 10 5 5 10 8 5Soft Diatonic Lydian
10 5 5 10 8 5 5Soft Diatonic Phrygian
5 5 10 8 5 5 10Soft Diatonic Dorian
5 10 8 5 5 10 5Soft Diatonic Hypolydian
10 8 5 5 10 5 5Soft Diatonic Hypophrygian
8 5 5 10 5 5 10Soft Diatonic Hypodorian
3 9 8 3 9 8 8Diatonic + Hemiolic Chromatic Diesis Mixolydian
9 8 3 9 8 8 3Diatonic + Hemiolic Chromatic Diesis Lydian
8 3 9 8 8 3 9Diatonic + Hemiolic Chromatic Diesis Phrygian
3 9 8 8 3 9 8Diatonic + Hemiolic Chromatic Diesis Dorian
9 8 8 3 9 8 3Diatonic + Hemiolic Chromatic Diesis Hypolydian
8 8 3 9 8 3 9Diatonic + Hemiolic Chromatic Diesis Hypophrygian
8 3 9 8 3 9 8Diatonic + Hemiolic Chromatic Diesis Hypodorian
3 3 6 8 8 3 3 6 8Hemiolic Chromatic and Diatonic Dorian mixed
5 7 5 7 5 7 5 7Octatonic
3 10 3 3 10 3 3 10 3Augene-9
3 3 7 3 3 3 7 3 3 3 7 3Augene-12
3 3 3 4 3 3 3 3 4 3 3 3 3 4 3Augene-15
2 9 2 9 2 2 9 2 9 2Doublewide-10
2 2 7 2 2 7 2 2 2 7 2 2 7 2Doublewide-14
5 3 5 3 5 3 5 3 5 3 5 3Hexe-12
7 3 3 3 7 3 3 3 7 3 3 3Inflated-12
3 4 3 3 3 3 4 3 3 3 3 4 3 3 3Inflated-15
5 5 5 5 8 5 5 5 5Negri-9, Quasi-Equal Enneatonic
5 5 5 5 5 5 5 5 5 3Negri-10
7 7 2 7 7 2 7 7 2Oodako-9
3 5 3 3 3 5 3 3 3 3 5 3 3 3Sentinel-14
8 3 3 8 3 3 3 8 3 3 3Squares-11
5 3 3 3 5 3 3 3 3 5 3 3 3 3Squares-14
5 5 5 3 5 5 5 5 5 5Keenan Decatonic
5 5 5 5 5 3 5 5 5 5Lumma Decatonic

49 tone equal modes:

5 1 5 5 1 5 5 1 5 5 5 1 5Laz-13
3 10 3 10 3 10 10Kleismic-7
3 3 7 3 7 3 3 7 3 3 7Kleismic-11
4 4 4 4 4 4 5 4 4 4 4 4Passion-12
5 3 5 3 3 5 3 5 3 3 5 3 3Semisept-13
4 3 4 3 4 3 4 3 4 3 4 3 4 3Septimal-14
2 7 2 2 7 2 7 2 2 7 2 7Superpyth-12
11 9 9 11 9Supra-5
9 2 9 9 9 2 9Supra-7
2 7 2 7 2 2 7 2 7 2 7 2Supra-12
2 5 2 5 2 5 2 5 2 5 2 5 2 5Whitewood-14

50 tone equal modes:

3 5 5 3 5 3 5 3 5 5 3 5Meantone Chromatic (5/18-comma), Eair-12
8 8 5 8 8 8 5Fifty tone Major
8 5 8 8 5 8 8Fifty tone Natural Minor
8 5 8 8 8 8 5Fifty tone Melodic Minor
8 5 8 8 5 11 5Fifty tone Harmonic Minor
8 8 5 8 5 11 5Fifty tone Harmonic Major
8 5 8 5 8 3 8 5Diminished, Modus conjunctus
8 8 9 9 8 8Taylor Whole-Tone
9 7 9 9 7 9Astrology-6
7 2 7 7 2 7 2 7 7 2Astrology-10
4 4 4 4 7 4 4 4 4 4 7Parizek-11
4 4 4 4 4 3 4 4 4 4 4 4 3Parizek-13
4 4 4 4 4 5 4 4 4 4 4 5Injera-12
4 4 4 4 4 4 1 4 4 4 4 4 4 1Injera-14
9 9 5 9 9 9Machine-6
4 5 4 5 4 5 4 5 4 5 5Machine-11
5 6 5 6 5 6 5 6 6Septimin-9
5 5 1 5 5 1 5 5 1 5 5 1 5 1Septimin-14
8 3 3 3 3 3 3 3 3 3 3 3 3 3 3Slurpee-15
3 7 3 7 3 7 3 7 3 7Trisedodge-10
3 3 4 3 3 4 3 3 4 3 3 4 3 3 4Trisedodge-15
4 4 3 4 3 4 3 4 4 3 4 3 4 3Urchin-14
7 3 3 3 3 3 3 7 3 3 3 3 3 3Vishnu-14
3 5 5 3 5 3 5 5 3 3 7 3Wreckmeister

51 tone equal modes:

13 4 13 4 13 4Augmented-6
4 9 4 4 9 4 4 9 4Augmented-9
4 4 5 4 4 4 5 4 4 4 5 4Augmented-12
4 4 1 4 4 4 4 1 4 4 4 4 1 4 4Augmented-15
5 7 5 5 7 5 5 7 5Deflated-9
8 8 8 8 3 8 8Glacial-7
5 3 5 3 5 3 5 3 3 5 3 5 3Glacial-13
11 2 2 2 11 2 2 2 11 2 2 2Hemiaug-12
7 7 7 9 7 7 7Miller's Porcupine-7
7 9 7 7 7 7 7Miller's Porcupine-7 Major
7 7 7 7 7 7 7 2Miller's Porcupine-8
5 2 5 2 2 5 2 5 2 5 2 5 2 5 2Porcupine-15
5 5 5 5 5 5 5 5 5 6Miracle-10
5 5 5 5 5 5 5 5 5 1 4 1Miracle-12
13 5 5 13 5 5 5Score-7
5 8 5 5 5 8 5 5 5Score-9
3 5 5 5 5 3 5 5 5 5 5Score-11
4 7 4 7 4 7 4 7 7Superpelog-9
4 4 3 4 4 3 4 4 3 4 4 3 4 3Superpelog-14

52 tone equal modes:

9 4 9 4 9 4 9 4Diminished
4 9 4 9 4 9 4 9Octatonic
6 7 6 7 6 7 6 7Quasi-equal Octatonic
5 5 5 5 5 5 5 7 5 5Apparatus-10
5 5 5 5 5 5 5 5 2 5 5Apparatus-11
4 7 4 7 4 4 7 4 7 4Decimal-10
4 4 3 4 4 4 3 4 4 3 4 4 4 3Decimal-14
4 4 5 4 4 5 4 4 5 4 4 5Demolished-12
8 11 11 11 11Godzilla-5
8 8 3 8 3 8 3 8 3Godzilla-9
5 3 5 3 3 5 3 3 5 3 3 5 3 3Godzilla-14
5 7 7 7 5 7 7 7Hedgehog-8
5 2 5 5 2 5 2 5 2 5 5 2 5 2Hedgehog-14
5 5 9 5 5 9 5 9Mechanism-8
5 4 5 5 5 4 5 5 5 4 5Mechanism-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 4Meantone Chromatic (1/315-comma)
9 8 5 9 8 9 5Fifty-three tone "Just" Major
9 5 8 9 5 9 8Fifty-three tone "Just" Minor
9 5 8 9 5 8 9Fifty-three tone Natural Minor
9 5 8 9 8 9 5Fifty-three tone Melodic Minor
9 5 8 9 5 12 5Fifty-three tone Harmonic Minor
9 8 5 9 5 12 5Fifty-three tone Harmonic Major
5 4 5 3 5 4 5 5 3 6 3 5Genus diatonico-chromaticum
8 7 8 7 8 8 7Amity-7
10 10 10 10 10 3Gorgo-6
3 10 10 7 3 10 10Gorgo-Pelog
3 7 3 7 3 7 3 7 3 7 3Gorgo-11
3 4 3 4 3 4 3 4 3 4 3 4 3 4 4Hemikleismic-15
3 11 3 11 3 11 11Kleismic-7
3 3 8 3 8 3 3 8 3 3 8Kleismic-11
3 3 3 5 3 3 3 5 3 3 3 5 3 3 5Kleismic-15
5 4 5 3 5 4 5 5 5 2 5 5Marvel-12
7 9 7 7 9 7 7Mavila-7
7 2 7 7 7 2 7 7 7Mavila-9
12 12 12 12 5Orwell-5
7 5 7 5 7 5 7 5 5Orwell-9
2 5 5 2 5 5 2 5 5 2 5 5 5Orwell-13
6 6 6 6 6 6 6 6 5Progression-9
4 5 4 4 5 4 5 4 4 5 4 5Schismic-12
7 3 7 3 7 3 7 3 3 7 3Spartan-11
6 5 5 6 5 5 6 5 5 5Submajor-10

53 tone equal modes with Turkish makams:

9 8 5 9 9 4 4 5Makam Rast
9 4 9 9 4 9 9Makam Nihavend, Muberka, Fifty-three tone Minor
9 8 5 9 8 5 4 5Makam Yegah
9 8 5 9 8 1 4 4 5Makam Yegah
9 8 5 9 9 8 5Makam Sazkar
9 4 9 9 4 9 4 5Makam Sultaniyegah, Ruhnevaz, Ferahfeza (Farahfaza)
4 9 9 9 4 9 9Makam Ferahnuma, Askefza, Acem Kurdi
5 12 5 9 5 8 4 5Makam Sedaraban
8 5 9 8 5 9 9Makam Huseyniasiran
5 12 5 9 4 4 5 4 5Makam Suzidil
9 9 4 4 5 9 9 4Makam Acemasiran
9 5 4 4 4 5 5 13 4Makam Sevkefza
5 9 8 5 9 9 4 4Makam Iraq
5 9 8 5 4 5 9 4 4Makam Evic, Segah
5 9 8 1 4 4 5 9 4 4Makam Ferahnak
5 13 4 9 5 13 4Makam Evcara (Evicara)
9 9 4 9 9 4 5 4Makam Mahur
9 5 4 4 4 5 9 4 5 4Makam Suzidilara
9 9 4 4 5 9 4 4 5Makam Buzurk
5 4 4 4 5 9 4 9 9Makam Suzinak
5 12 5 5 4 4 4 5 9Makam Zirguleli Suzinak
5 12 5 9 5 3 5 4 5Makam Hicazkar
4 1 4 4 4 5 9 4 4 5 9Makam Kurdilihicazkar
9 4 9 5 4 4 5 8 5Makam Nihavend (Nihavent)
9 5 12 5 5 12 5Makam Neveser
9 5 12 5 9 4 4 5Makam Nikriz
8 5 9 9 4 4 5 9Makam Huseyni, Muhayyer, Neva, Gerdaniye, Tahir
4 4 5 9 9 4 4 5 9Makam Muhayyer Kurdi
8 1 4 9 9 8 5 4 5Makam Tahir Buselik
8 5 9 5 4 4 4 5 9Makam Gulizar, Beyati (Bayati), Karcigar
8 5 9 9 4 9 9Makam Ussak, Acem, Arazbar
8 1 4 4 5 9 4 9 9Makam Isfahan
4 4 1 4 9 4 5 4 9 9Makam Kurdi
9 4 9 5 4 4 4 5 4 5Makam Buselik (Puselik)
9 4 9 9 4 13 5Makam Sehnaz Buselik
8 5 9 5 3 1 4 4 5 9Makam Arazbar
5 12 5 9 4 4 5 9Makam Hicaz, Uzzal, Humayun
5 12 5 9 4 1 8 4 5Makam Zirgule (Zengule)
5 12 5 9 4 13 5Makam Zirguleli Hicaz
5 12 5 9 4 1 3 5 4 5Makam Sehnaz
8 5 5 13 4 9 9Makam Saba, Sunbule
8 5 5 13 4 9 5 4Makam Saba Zemzeme
8 5 5 13 4 4 5 5 4Makam Kucek
8 5 5 4 9 4 4 5 4 5Makam Eski Sipihr
4 4 5 4 1 13 4 9 9Makam Dugah
8 5 9 4 5 4 1 8 4 5Makam Hisar
4 9 4 5 8 1 4 9 4 5Makam Hisar Buselik
5 3 5 4 5 4 5 4 1 3 5 4 5Makam Yeni Sipihr
9 8 5 9 5 8 9Makam Nisaburek
5 9 5 12 5 9 4 4Makam Huzzam
9 5 8 9 5 9 4 4Makam Mustear
5 9 8 1 4 9 9 8Makam Maye (Yeni Maye)
1 4 9 8 5 9 9 3 5Makam Vechi Arazbar
8 5 9 4 9 9 4 5Makam Nisabur
5 13 4 9 5 12 5Makam Cargah I
9 9 4 9 9 9 4Makam Cargah II, Zavil, Dastgah-e Mahur, Fifty-three tone Major
5 8 13 5 5 8 4 5Makam Araban
9 8 5 9 9 5 8Makam Urmawi
9 4 13 5 4 13 5Makam Rengidil
5 9 8 5 9 9 8Makam Arak
7 1 5 9 9 4 9 9Makam Necid Huseyni, Huzi

Persian modes as 53 tone equal modes:

6 7 9 9 4 9 9Dastgah-e Shur
6 7 9 6 3 4 2 7 9Dastgah-e Shur
6 7 9 9 4 2 7 9Dastgah-e Abuata
4 2 7 9 6 3 4 2 7 9Dastgah-e Dashti
6 3 9 4 9 9 6 7Dastgah-e Bayat-e Tork
9 6 7 9 6 3 4 2 7Dastgah-e Afshari
6 12 4 9 4 2 7 9Dastgah-e Homayun
9 9 4 9 9 4 5 4Dastgah-e Mahur, Rast (Rast Panjgah)
6 9 10 3 9 9 7Naghmeh Abuata, Naghmeh Afshari
9 9 4 9 9 6 7Naghmeh Bayat-e Tork, Naghmeh Dashti
9 4 9 9 6 12 4Naghmeh Esfahan
9 6 7 9 6 7 9Dastgah-e Sehgah
6 9 7 6 9 9 7Dastgah-e Sehgah
9 4 9 9 6 9 7Dastgah-e Mokhalif, Bayat-e Esfahan
6 12 4 9 6 12 4Dastgah-e Chahargah
9 4 9 9 6 7 9Dastgah-e Nava

54 tone equal modes:

10 7 10 10 7 10Astrology-6
7 3 7 7 3 7 3 7 7 3Astrology-10
3 5 5 5 3 5 5 5 3 5 5 5August-12
5 7 7 7 7 7 7 7Greeley-8
5 5 2 5 2 5 2 5 2 5 2 5 2 5 2Greeley-15
5 4 5 4 5 4 5 4 5 4 5 4Hexe-12
3 3 8 3 3 3 8 3 3 3 3 8 3Muggles-13
5 5 5 7 5 5 5 5 7 5Pajara-10
5 5 5 2 5 5 5 5 5 2 5 5Pajara-12
7 7 4 7 7 4 7 7 4Triforce-9
3 4 3 4 4 3 4 3 4 4 3 4 3 4 4Triforce-15
7 5 5 5 7 5 5 5 5 5Pentachordal Decatonic

55 tone equal modes:

4 5 5 4 5 4 5 4 5 5 4 5Meantone Chromatic (3/17-comma)
5 4 5 4 5 5 4 5 4 5 4 5Sauveur's Musician's System
5 4 5 4 5 4 5 5 4 5 4 5Genus diatonico-chromaticum
9 9 5 9 9 9 5Fifty-five tone Major
9 5 9 9 5 9 9Fifty-five tone Natural Minor
9 5 9 9 9 9 5Fifty-five tone Melodic Minor
9 5 9 9 5 13 5Fifty-five tone Harmonic Minor
9 9 5 9 5 13 5Fifty-five tone Harmonic Major
7 4 7 4 7 4 7 4 7 4Archytas Clan-10
3 4 4 3 4 4 3 4 4 3 4 4 3 4 4Archytas Clan-15
7 7 7 3 7 7 7 7 3Armodue-9
4 7 4 7 4 7 4 7 4 7Blackwood-10
4 3 4 4 3 4 4 3 4 4 3 4 4 3 4Blackwood-15
7 10 7 7 10 7 7Mavila-7
7 3 7 7 7 3 7 7 7Mavila-9
2 7 7 2 7 7 2 7 7 7Migration-10
9 7 9 7 9 7 7Mohajira-7
2 7 7 2 7 7 7 2 7 7Mohajira-10
4 4 4 4 4 4 4 4 4 4 4 4 4 3Octacot-14
5 7 5 7 5 7 5 7 7Superpelog-9
5 5 2 5 5 2 5 5 2 5 5 2 5 2Superpelog-14

56 tone equal modes:

9 5 9 5 9 5 9 5Diminished
5 9 5 9 5 9 5 9Octatonic
4 5 5 4 5 5 4 5 5 4 5 5Bidia-12
5 5 4 5 5 4 5 5 4 5 5 4Diminished-12
5 6 6 5 6 5 6 6 5 6Echidnic-10
5 3 5 3 5 3 5 3 5 3 5 3 5 3Greenwood-14
9 9 9 9 9 11Hemithirds-6
9 9 9 9 9 9 2Hemithirds-7
7 2 7 2 7 2 7 2 7 2 7 2 2Hemithirds-13
5 5 5 8 5 5 5 5 8 5Pajara-10
5 5 5 3 5 5 5 5 5 3 5 5Pajara-12
11 4 11 4 11 4 11Superkleismic-7
4 7 4 7 4 4 7 4 4 7 4Superkleismic-11
3 4 4 4 3 4 4 4 3 4 4 4 3 4 4Superkleismic-15
13 10 10 13 10Supra-5
10 3 10 10 10 3 10Supra-7
3 7 3 7 3 3 7 3 7 3 7 3Supra-12
8 5 5 5 8 5 5 5 5 5Pentachordal Decatonic

57 tone equal modes:

7 7 7 4 7 7 7 7 4Armodue-9
4 11 4 4 11 4 4 11 4Augene-9
4 4 7 4 4 4 7 4 4 4 7 4Augene-12
4 4 4 3 4 4 4 4 3 4 4 4 4 3 4Augene-15
8 11 8 11 8 11Augment-6
8 3 8 8 3 8 8 3 8Augment-9
3 5 3 5 3 3 5 3 5 3 3 5 3 5 3Augment-15
4 5 5 5 4 5 5 5 4 5 5 5August-12
3 3 3 11 3 3 3 11 3 3 11Bossier-11
3 3 3 8 3 3 3 3 8 3 3 3 8 3Bossier-14
11 11 13 11 11Quasi-equal Pentatonic, Mothra-5
9 2 9 2 9 2 9 2 9 2 2Mothra-11
11 6 11 6 11 6 6Sharp-7
5 6 6 6 5 6 6 5 6 6Sharp-10
6 6 6 5 6 6 5 6 6 5Silver-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 7Anguirus-10
5 2 5 5 2 5 5 5 2 5 5 2 5 5Anguirus-14
3 7 14 10 3 7 14Archchro
3 7 7 7 3 7 7 3 7 7Beatles-10
5 5 5 9 5 5 5 5 9 5Diaschismic-10
5 5 5 4 5 5 5 5 5 4 5 5Diaschismic-12
11 11 11 11 11 3Gorgo-6
3 8 3 8 3 8 3 8 3 8 3Gorgo-11
5 8 8 8 5 8 8 8Hedgehog-8
5 3 5 5 3 5 3 5 3 5 5 3 5 3Hedgehog-14
3 7 7 3 7 7 3 7 7 7Hemififths-10
6 1 6 6 1 6 6 1 6 6 6 1 6Laz-13
11 7 11 11 7 11Lemba-6
7 4 7 4 7 7 4 7 4 7Lemba-10
10 7 10 7 10 7 7Mohajira-7
3 7 7 3 7 7 7 3 7 7Mohajira-10
2 11 2 2 11 2 11 2 2 11 2Myna-11
2 2 9 2 2 2 9 2 2 2 9 2 2 9 2Myna-15
5 5 5 3 5 5 5 5 5 5 5 5Ripple-12
7 2 7 2 7 2 2 7 2 7 2 7 2 2Secant-14
4 7 4 4 5 6 4 5 4 6 5 4Starling-12
7 4 4 4 4 4 7 4 4 4 4 4 4Thuja-13
3 4 4 4 4 4 4 3 4 4 4 4 4 4 4Thuja-15
5 5 3 5 3 5 3 5 5 3 5 3 5 3Urchin-14

59 tone equal modes:

8 8 8 11 8 8 8Miller's Porcupine-7
8 11 8 8 8 8 8Miller's Porcupine-7 Major
8 8 8 8 8 8 8 3Miller's Porcupine-8
7 7 5 7 7 7 7 5 7Mabila-9
4 4 4 7 4 4 4 4 4 4 4 4 4 4Nautilus-14
5 3 5 3 3 5 3 5 3 5 3 5 3 5 3Porcupine-15
11 11 1 11 1 11 1 11 1Pseudo-semaphore-9
5 5 5 4 5 5 5 5 5 5 5 5Ripple-12
3 3 8 3 3 8 3 3 8 3 3 3 8Subklei-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 12First 5 equal temperaments mixed
10 2 3 5 4 6 6 4 5 3 2 10First 6 equal temperaments mixed
9 8 9 8 9 9 8Amity-7
11 8 11 11 8 11Astrology-6
8 3 8 8 3 8 3 8 8 3Astrology-10
5 7 5 7 5 7 5 7 5 7Blacksmith-10
5 2 5 5 2 5 5 2 5 5 2 5 5 2 5Blacksmith-15
5 4 4 5 4 4 4 5 4 4 5 4 4 4Hemiamity-14
16 3 16 3 3 16 3Magic-7
13 3 3 3 13 3 3 13 3 3Magic-10
10 3 3 3 10 3 3 3 10 3 3 3 3Magic-13
7 7 7 7 7 7 7 7 4Progression-9
5 8 5 8 5 8 5 8 8Superpelog-9
5 5 3 5 5 3 5 5 3 5 5 3 5 3Superpelog-14

61 tone equal modes:

11 7 7 11 7 11 7Dichotic-7
4 7 7 7 4 7 7 4 7 7Dichotic-10
8 5 5 5 5 8 5 5 5 5 5Freivald-11
3 5 5 5 5 5 3 5 5 5 5 5 5Freivald-13
11 11 6 11 11 11Machine-6
5 6 5 6 5 6 5 6 5 6 6Machine-11
5 5 5 5 8 5 5 5 5 5 8Parizek-11
5 5 5 5 5 3 5 5 5 5 5 5 3Parizek-13
5 5 5 5 5 5 6 5 5 5 5 5Passion-12
7 7 7 7 7 7 7 7 5Progression-9
3 3 8 3 8 3 8 3 3 8 3 8Quasisuper-12
7 4 7 7 4 7 7 7 4 7Suhajira-10
3 8 3 8 3 3 8 3 8 3 8 3Supra-12
9 9 9 9 9 9 7Tetracot-7
2 7 2 7 2 7 2 7 7 2 7 2 7Tetracot-13

62 tone equal modes:

8 8 8 3 8 8 8 8 3Armodue-9
5 8 5 8 5 5 8 5 8 5Decimal-10
10 13 13 13 13Godzilla-5
10 10 3 10 3 10 3 10 3Godzilla-9
7 3 7 3 3 7 3 3 7 3 3 7 3 3Godzilla-14
5 5 5 5 5 6 5 5 5 5 5 6Injera-12
5 5 5 5 5 5 1 5 5 5 5 5 5 1Injera-14
9 4 4 4 4 4 9 4 4 4 4 4 4Kangaroo-13
12 7 12 12 7 12Lemba-6
7 5 7 5 7 7 5 7 5 7Lemba-10
8 11 8 8 11 8 8Mavila-7
8 3 8 8 8 3 8 8 8Mavila-9
4 5 4 4 4 4 4 4 4 5 4 4 4 4 4Progress-15
6 6 6 1 6 6 6 6 6 1 6 6Semimiracle-12

63 tone equal modes:

7 4 4 7 4 7 4 7 4 4 7 4Twelve-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 13Immunity-5
11 11 2 11 2 11 2 11 2Immunity-9
9 4 4 4 9 4 4 4 9 4 4 4Inflated-12
4 5 4 4 4 4 5 4 4 4 4 5 4 4 4Inflated-15
17 3 17 3 17 3 3Magic-7
14 3 3 3 14 3 3 14 3 3Magic-10
11 3 3 3 11 3 3 3 11 3 3 3 3Magic-13
5 12 12 5 12 5 12Orgone-7
5 5 7 5 7 5 5 7 5 5 7Orgone-11
5 4 5 4 5 4 5 4 5 4 5 4 5 4Septimal-14
10 10 10 10 10 10 3Spell-7
7 3 7 3 7 3 7 3 7 3 7 3 3Spell-13
7 6 6 7 6 6 7 6 6 6Submajor-10
8 8 5 8 8 5 8 8 5Triforce-9
3 5 3 5 5 3 5 3 5 5 3 5 3 5 5Triforce-15

64 tone equal modes:

7 12 7 12 7 12 7Chrysanthos Soft Chromatic Byzantine mode
6 7 6 7 6 6 7 6 7 6Decimal-10
12 7 7 12 7 12 7Beatles-7, Dichotic-7
5 7 7 7 5 7 7 5 7 7Beatles-10, Dichotic-10
3 7 7 3 7 3 7 7 3 7 3 7Flattone-12
5 5 5 5 5 7 5 5 5 5 5 7Injera-12
5 5 5 5 5 5 2 5 5 5 5 5 5 2Injera-14
4 13 4 13 4 13 13Kleismic-7
4 4 9 4 9 4 4 9 4 4 9Kleismic-11
12 7 12 7 12 7 7Sharp-7
5 7 7 7 5 7 7 5 7 7Sharp-10

65 tone equal modes:

6 5 5 6 5 6 5 6 5 5 6 5Meantone Chromatic (1/52-comma)
6 5 6 4 6 5 6 6 4 6 5 6"Just" Chromatic
11 10 6 11 10 11 6Sixty-five tone "Just" Major
11 6 10 11 6 11 10Sixty-five tone "Just" Minor
11 8 11 8 11 8 8Mohajira-7
3 8 8 3 8 8 8 3 8 8Mohajira-10
11 9 9 9 9 9 9Porky-7
7 7 10 7 7 10 7 10Sensi-8
7 7 7 3 7 7 7 3 7 7 3Sensi-11
9 4 4 4 4 4 4 4 4 4 4 4 4 4 4Slurpee-15
4 9 4 4 6 7 4 6 4 7 6 4Starling-12
5 9 5 9 5 9 5 9 9Superpelog-9
5 5 4 5 5 4 5 5 4 5 5 4 5 4Superpelog-14
4 9 4 9 4 9 4 9 4 9Trisedodge-10
4 4 5 4 4 5 4 4 5 4 4 5 4 4 5Trisedodge-15
15 2 2 2 15 2 2 2 15 2 2 2 2Wurschmidt-13

66 tone equal modes:

8 8 8 5 8 8 8 8 5Armodue-9
17 5 17 5 17 5Augene-6
5 12 5 5 12 5 5 12 5Augene-9
5 5 7 5 5 5 7 5 5 5 7 5Augene-12
5 5 5 2 5 5 5 5 2 5 5 5 5 2 5Augene-15
5 9 5 9 5 5 9 5 9 5Decimal-10
5 5 5 5 5 8 5 5 5 5 5 8Injera-12
5 5 5 5 5 5 3 5 5 5 5 5 5 3Injera-14
8 8 5 8 8 8 8 5 8Mabila-9
9 7 9 7 9 9 7 9Tridec-8
9 4 4 4 4 4 4 9 4 4 4 4 4 4Vishnu-14

67 tone equal modes:

5 6 6 5 6 5 6 5 6 6 5 6Meantone Chromatic (4/25-comma)
9 11 9 9 11 9 9Mavila-7
9 2 9 9 9 2 9 9 9Mavila-9
13 13 15 13 13Quasi-equal Pentatonic, Mothra-5
11 2 11 2 11 2 11 2 11 2 2Mothra-11
7 7 7 7 11 7 7 7 7Negri-9
7 7 7 7 7 7 7 7 7 4Negri-10
7 4 7 4 4 7 4 7 4 4 7 4 4Semisept-13
13 7 13 7 13 7 7Sharp-7
6 7 7 7 6 7 7 6 7 7Sharp-10
5 8 5 8 5 5 8 5 5 8 5Superkleismic-11
3 5 5 5 3 5 5 5 3 5 5 5 3 5 5Superkleismic-15

68 tone equal modes:

9 7 12 12 9 7 12Chrysanthos 1st Byzantine Liturgical mode
12 13 3 12 12 5 11Chrysanthos 3rd Byzantine Liturgical mode
12 9 7 12 9 7 12Chrysanthos 4th Byzantine Liturgical mode
7 18 3 12 7 18 3Chrysanthos Hard Chromatic 2nd plagal Byzantine mode
7 18 3 12 9 7 12Chrysanthos Hard Chromatic/Diatonic Byzantine mode
9 7 12 12 3 13 12Chrysanthos Diatonic-Enharmonic Byzantine mode
13 12 3 12 9 7 12Chrysanthos Enharmonic-Diatonic Byzantine mode
9 7 12 7 18 3 12Fokaeas 2nd plagal Byzantine Liturgical mode
12 9 7 12 12 3 13Konstantinos 3rd Byzantine Liturgical mode
12 4 12 9 7 12 12Konstantinos 4th plagal Byzantine Liturgical mode
12 13 3 12 12 13 3Tiby 1st Byzantine Liturgical mode
12 5 11 12 12 5 11Tiby 2nd Byzantine Liturgical mode
9 12 7 12 9 12 7Tiby 4th Byzantine Liturgical mode
7 14 7 12 7 14 7Tsiknopoulos 2nd Byzantine Liturgical mode
7 12 12 9 7 12 9Tsiknopoulos 4th Byzantine Liturgical mode
12 9 7 12 12 9 7Tsiknopoulos 4th plagal Byzantine Liturgical mode, Tiby 3rd Byzantine mode
11 6 11 6 11 6 11 6Diminished
5 6 6 5 6 6 5 6 6 5 6 6Bidia-12
3 11 3 3 11 3 3 11 3 3 11 3Blackbirds-12
6 6 5 6 6 5 6 6 5 6 6 5Diminished-12
4 5 4 5 4 5 4 5 4 5 4 5 4 5 5Hemikleismic-15
11 11 11 11 11 13Hemithirds-6
11 11 11 11 11 11 2Hemithirds-7
9 2 9 2 9 2 9 2 9 2 9 2 2Hemithirds-13
13 8 13 13 8 13Lemba-6
8 5 8 5 8 8 5 8 5 8Lemba-10
7 7 7 7 12 7 7 7 7Negri-9
7 7 7 7 7 7 7 7 7 5Negri-10
5 5 5 5 5 5 5 5 5 5 5 5 5 3Octacot-14
10 3 10 3 10 3 10 3 3 10 3Spartan-11

69 tone equal modes:

4 7 7 4 7 4 7 4 7 7 4 7Meantone Chromatic (5/17-comma), Synch-Meantone-12
5 13 5 5 13 5 5 13 5Augene-9
5 5 8 5 5 5 8 5 5 5 8 5Augene-12
5 5 5 3 5 5 5 5 3 5 5 5 5 3 5Augene-15
5 6 6 6 5 6 6 6 5 6 6 6August-12
8 8 8 8 8 8 8 8 5Jerome-9, Progression-9
10 10 3 10 10 3 10 10 3Oodako-9
11 11 11 11 11 11 3Spell-7
8 3 8 3 8 3 8 3 8 3 8 3 3Spell-13
9 9 5 9 9 5 9 9 5Triforce-9
4 5 4 5 5 4 5 4 5 5 4 5 4 5 5Triforce-15

70 tone equal modes:

7 5 5 7 5 7 5 7 5 5 7 5Twelve-tone Chromatic (1/24-comma positive), Dominant-12
3 7 7 3 10 1 9 5 5 9 1 10Jorgensen 5&7
9 5 9 5 9 5 9 5 9 5Archytas Clan-10
4 5 5 4 5 5 4 5 5 4 5 5 4 5 5Archytas Clan-15
6 6 6 11 6 6 6 6 11 6Diaschismic-10
6 6 6 5 6 6 6 6 6 5 6 6Diaschismic-12
3 13 3 13 3 3 13 3 13 3Doublewide-10
3 3 10 3 3 10 3 3 3 10 3 3 10 3Doublewide-14
5 5 8 5 8 5 8 5 8 5 8Kumonga-11
6 6 7 6 7 6 6 7 6 6 7Orgone-11
5 7 5 5 7 5 7 5 5 7 5 7Schismic-12
3 7 3 7 3 7 3 7 3 7 3 7 3 7Whitewood-14

71 tone equal modes:

3 8 8 3 8 3 8 3 8 8 3 8Meantone Chromatic (5/13-comma)
5 8 8 8 5 8 8 5 8 8Beatles-10
3 8 8 3 8 3 8 8 3 8 3 8Flattone-12
11 15 15 15 15Godzilla-5
11 11 4 11 4 11 4 11 4Godzilla-9
7 4 7 4 4 7 4 4 7 4 4 7 4 4Godzilla-14
6 6 6 5 6 6 6 6 6 6 6 6Ripple-12
7 5 7 7 7 5 7 7 5 7 7Stacks-11
3 10 3 3 10 3 10 3 3 10 3 10Superpyth-12
8 5 5 5 5 5 8 5 5 5 5 5 5Thuja-13
3 5 5 5 5 5 5 3 5 5 5 5 5 5 5Thuja-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 12Parachromatic Mixolydian
5 20 5 5 20 12 5Parachromatic Lydian
20 5 5 20 12 5 5Parachromatic Phrygian
5 5 20 12 5 5 20Parachromatic Dorian
5 20 12 5 5 20 5Parachromatic Hypolydian
20 12 5 5 20 5 5Parachromatic Hypophrygian
12 5 5 20 5 5 20Parachromatic Hypodorian
5 10 15 5 10 15 12Soft Diatonic Mixolydian
10 15 5 10 15 12 5Soft Diatonic Lydian
15 5 10 15 12 5 10Soft Diatonic Phrygian
5 10 15 12 5 10 15Soft Diatonic Dorian
10 15 12 5 10 15 5Soft Diatonic Hypolydian
15 12 5 10 15 5 10Soft Diatonic Hypophrygian
12 5 10 15 5 10 15Soft Diatonic Hypodorian
9 10 11 9 10 11 12Equable Diatonic Mixolydian
10 11 9 10 11 12 9Equable Diatonic Lydian
11 9 10 11 12 9 10Equable Diatonic Phrygian
9 10 11 12 9 10 11Equable Diatonic Dorian
10 11 12 9 10 11 9Equable Diatonic Hypolydian
11 12 9 10 11 9 10Equable Diatonic Hypophrygian
12 9 10 11 9 10 11Equable Diatonic Hypodorian
11 7 12 12 11 7 12Misaelides 1st Byzantine Liturgical mode
12 12 11 7 12 11 7Misaelides 3rd Byzantine Liturgical mode
7 12 12 11 7 12 11Misaelides 4th Byzantine Liturgical mode
11 7 12 15 3 12 12Misaelides 1st plagal Byzantine Liturgical mode
7 20 3 12 7 20 3Misaelides 2nd plagal Byzantine Liturgical mode
5 19 6 12 5 19 6Xenakis Byzantine Liturgical Chromatic
7 16 7 12 7 16 7Xenakis Byzantine Liturgical Soft Chromatic, Quasi-Miracle-7
12 11 7 12 12 11 7Xenakis Byzantine Liturgical Diatonic, Misaelides 4th plagal Byzantine
6 20 4 12 9 10 11Byzantine Palace mode
16 7 12 7 16 7 7Keenanmarvel
7 12 7 9 7 7 7 16Three Tetrads
7 7 7 5 2 5 2 5 7 7 7 11Blackjack-12
5 7 4 7 7 5 7 7 4 5 7 7Hexy
7 5 4 7 7 5 7 7 4 5 7 7Smith's Prism
13 10 13 13 10 13Astrology-6
10 3 10 10 3 10 3 10 10 3Astrology-10
5 14 5 5 14 5 5 14 5Augene-9
5 5 9 5 5 5 9 5 5 5 9 5Augene-12
5 5 5 4 5 5 5 5 4 5 5 5 5 4 5Augene-15
2 5 5 5 5 5 5 5 5 5 5 5 5 5 5Belauensis-15
7 5 7 5 7 5 7 5 7 5 7 5Hexe-12
4 15 4 15 4 15 15Kleismic-7
4 4 11 4 11 4 4 11 4 4 11Kleismic-11
4 4 4 7 4 4 4 7 4 4 4 7 4 4 7Kleismic-15
7 5 7 4 7 5 7 7 7 2 7 7Marvel-12
7 7 7 7 7 7 7 7 7 9Miracle-10
7 7 7 7 7 7 7 7 7 2 5 2Miracle-12
7 9 7 7 5 7 7 9 7 7Quasi-Miracle-10
7 7 7 1 7 7 7 7 7 1 7 7Semimiracle-12
6 4 6 4 11 6 4 6 4 6 4 11A Carpenter's Olive
9 5 9 5 9 5 9 2 5 9 5Hopalong
12 7 7 5 3 8 9 10 5 6JuneGloom
12 4 7 3 4 3 9 11 5 5 2 7Rodgers Adams

73 tone equal modes:

9 9 9 5 9 9 9 9 5Armodue-9
5 7 7 7 7 5 7 7 7 7 7Joan-11
5 5 5 8 5 5 5 5 5 5 5 5 5 5Nautilus-14
6 6 6 6 6 6 7 6 6 6 6 6Passion-12
13 10 10 10 10 10 10Porky-7
8 8 8 3 8 8 8 3 8 8 3Sensi-11
11 3 11 3 11 3 11 3 3 11 3Spartan-11
4 9 4 9 4 4 9 4 9 4 9 4Supra-12
9 5 5 5 5 5 9 5 5 5 5 5 5Thuja-13
4 5 5 5 5 5 5 4 5 5 5 5 5 5 5Thuja-15

74 tone equal modes:

5 7 7 5 7 5 7 5 7 7 5 7Meantone Chromatic (3/14-comma), Grosstone-12
5 5 5 7 5 5 5 5 5 5 7 5 5 5Bipelog-14
7 3 7 7 3 7 3 7 3 7 7 3 7 3Hedgehog-14
6 6 6 6 6 7 6 6 6 6 6 7Injera-12
6 6 6 6 6 6 1 6 6 6 6 6 6 1Injera-14
14 9 14 14 9 14Lemba-6
9 5 9 5 9 9 5 9 5 9Lemba-10
5 5 5 9 5 5 5 5 5 5 5 5 5 5Nautilus-14
7 7 7 2 7 7 7 7 7 2 7 7Pajaro-12
5 7 5 5 9 5 7 5 7 7 3 9Igliashon-12

75 tone equal modes:

8 5 5 8 5 8 5 8 5 5 8 5Twelve-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 3Hemiaug-12
6 7 7 7 7 6 7 7 7 7 7Joan-11
8 8 8 8 11 8 8 8 8Negri-9
8 8 8 8 8 8 8 8 8 3Negri-10
11 11 3 11 11 3 11 11 3Oodako-9
17 17 17 17 7Orwell-5
10 7 10 7 10 7 10 7 7Orwell-9
3 7 7 3 7 7 3 7 7 3 7 7 7Orwell-13
5 8 5 5 8 5 8 5 5 8 5 8Schism-12
11 11 11 11 11 11 9Tetracot-7
2 9 2 9 2 9 2 9 9 2 9 2 9Tetracot-13

76 tone equal modes:

5 5 5 8 5 5 5 5 5 5 8 5 5 5Bipelog-14
10 13 10 10 13 10 10Mavila-7
10 3 10 10 10 3 10 10 10Mavila-9
7 7 7 10 7 7 7 7 10 7Pajara-10
7 7 7 3 7 7 7 7 7 3 7 7Pajara-12
12 5 5 12 5 5 5 12 5 5 5Squares-11
7 5 5 5 7 5 5 5 5 7 5 5 5 5Squares-14
3 11 3 3 11 3 11 3 3 11 3 11Superpyth-12
8 8 5 8 8 5 8 8 5 8 5Wilson Golden-11

77 tone equal modes:

7 6 6 7 6 7 6 7 6 6 7 6Meantone 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 10Greeley-8
7 7 3 7 3 7 3 7 3 7 3 7 3 7 3Greeley-15
7 4 7 4 7 4 7 4 7 4 7 4 7 4Greenwood-14
9 9 7 9 9 9 9 7 9Mabila-9
8 8 8 8 13 8 8 8 8Negri-9
8 8 8 8 8 8 8 8 8 5Negri-10
9 9 9 9 9 9 9 9 5Progression-9
8 5 5 8 5 5 8 5 5 8 5 5 5Ragimetric-13
6 5 6 5 6 5 6 5 6 5 6 5 6 5Septimal-14
15 15 15 17 15Slendric-5
13 2 13 2 13 2 13 2 2 13 2Slendric-11
5 15 5 15 5 12 8 12Smith's Star
8 12 5 15 5 12 8 12Smith's Nova
5 10 5 5 7 8 5 7 5 8 7 5Starling-12
5 5 5 5 5 5 5 5 5 5 5 7 5 5 5Valentine-15

78 tone equal modes:

5 7 7 7 5 7 7 7 5 7 7 7August-12
16 16 15 16 15Blue-5
8 5 8 5 8 5 8 5 8 5 8 5Hexe-12
11 5 5 5 11 5 5 5 11 5 5 5Inflated-12
5 6 5 5 5 5 6 5 5 5 5 6 5 5 5Inflated-15
7 7 7 11 7 7 7 7 11 7Pajara-10
7 7 7 4 7 7 7 7 7 4 7 7Pajara-12
9 5 9 9 5 9 9 9 5 9Suhajira-10
5 5 5 5 5 5 5 5 5 5 5 8 5 5 5Tertiaseptal-15

79 tone equal modes:

6 7 7 6 7 6 7 6 7 7 6 7Meantone Chromatic (3/20-comma)
12 12 12 12 7 12 12Bluebirds-7
5 7 5 7 5 7 5 7 7 5 7 5 7Bluebirds-13
15 15 15 15 15 4Gorgo-6
4 11 4 11 4 11 4 11 4 11 4Gorgo-11
3 10 10 3 10 10 3 10 10 10Migration-10
3 10 10 3 10 10 10 3 10 10Mohajira-10
5 7 5 5 5 5 5 5 5 7 5 5 5 5 5Progress-15
5 8 5 5 5 8 5 5 5 5 8 5 5 5Sentinel-14
13 5 5 13 5 5 5 13 5 5 5Squares-11
8 5 5 5 8 5 5 5 5 8 5 5 5 5Squares-14

80 tone equal modes:

9 5 5 9 5 9 5 9 5 5 9 5Twelve-tone Chromatic (1/7-comma positive)
6 7 7 6 7 7 6 7 7 6 7 7Bidia-12
6 11 6 11 6 6 11 6 11 6Decimal-10
7 7 7 12 7 7 7 7 12 7Diaschismic-10
7 7 7 5 7 7 7 7 7 5 7 7Diaschismic-12
7 9 7 9 7 9 7 9 7 9Ferrum-10
7 4 7 7 4 7 4 7 4 7 7 4 7 4Hedgehog-14
13 4 13 4 4 13 4 4 13 4 4Parakleismic-11
9 4 4 9 4 4 4 9 4 4 4 9 4 4 4Parakleismic-15
8 5 8 5 5 8 5 8 5 5 8 5 5Semisept-13
5 11 5 11 5 11 5 11 5 11Trisedodge-10
5 5 6 5 5 6 5 5 6 5 5 6 5 5 6Trisedodge-15

81 tone equal modes:

5 8 8 5 8 5 8 5 8 8 5 8Meantone Chromatic (5/19-comma)
6 7 7 7 6 7 7 7 6 7 7 7August-12
8 11 8 8 11 8 8 11 8Deflated-9
13 17 17 17 17Godzilla-5
13 13 4 13 4 13 4 13 4Godzilla-9
9 4 9 4 4 9 4 4 9 4 4 9 4 4Godzilla-14
13 13 13 13 13 13 3Spell-7
10 3 3 10 3 10 3 10 3 10 3 10 3Spell-13
11 11 11 15 11 11 11Miller's Porcupine-7
11 15 11 11 11 11 11Miller's Porcupine-7 Major
11 11 11 11 11 11 11 4Miller's Porcupine-8
7 4 7 4 4 7 4 7 4 7 4 7 4 7 4Porcupine-15

82 tone equal modes:

15 11 15 15 11 15Astrology-6
11 4 11 11 4 11 4 11 11 4Astrology-10
7 10 7 10 7 7 10 7 10 7Decimal-10
7 9 9 7 9 7 9 9 7 9Echidnic-10
8 8 8 1 8 8 8 8 8 1 8 8Semimiracle-12
13 13 13 13 13 13 4Spell-7
9 4 9 4 9 4 9 4 9 4 9 4 4Spell-13

83 tone equal modes:

8 8 8 8 8 8 8 11 8 8Apparatus-10
8 8 8 8 8 8 8 8 3 8 8Apparatus-11
17 17 16 17 16Blue-5
4 9 9 4 9 4 9 9 4 9 4 9Flattone-12
5 17 5 17 5 17 17Kleismic-7
5 5 12 5 12 5 5 12 5 5 12Kleismic-11
13 3 13 3 13 3 13 3 13 3 3Mothra-11
13 11 13 11 13 11 11Ptolemy-7
4 4 11 4 11 4 11 4 4 11 4 11Quasisuper-12
7 7 7 6 7 7 7 7 7 7 7 7Ripple-12
13 5 5 5 5 5 5 5 5 5 5 5 5 5 5Slurpee-15
4 11 4 11 4 4 11 4 11 4 11 4Supra-12
9 9 9 9 9 9 9 9 11Twothirdtonic-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 8Golden Diminished
4 4 11 4 4 4 11 4 4 11 4 4 4 11Fleetwood-14
10 10 7 10 10 10 10 7 10Mabila-9
11 8 11 8 11 8 11 8 8Orwell-9
3 8 8 3 8 8 3 8 8 3 8 8 8Orwell-13
10 3 10 3 10 3 3 10 3 10 3 10 3 3Secant-14
9 9 9 4 9 9 9 4 9 9 4Sensi-11
7 5 7 5 7 5 7 5 7 5 7 5 7 5Septimal-14
9 9 9 7 9 9 7 9 9 7Silver-10
11 11 6 11 11 6 11 11 6Triforce-9
5 6 5 6 6 5 6 5 6 6 5 6 5 6 6Triforce-15
12 5 5 5 5 5 5 12 5 5 5 5 5 5Vishnu-14
11 16 11 11 16 11 8Zeus7tri
11 11 11 13 11 11 11 5Zeus8tri

85 tone equal modes:

13 11 13 11 13 13 11Amity-7
11 6 11 6 11 6 11 6 11 6Archytas Clan-10
5 6 6 5 6 6 5 6 6 5 6 6 5 6 6Archytas Clan-15
7 10 7 10 7 10 7 10 7 10Blacksmith-10
7 3 7 7 3 7 7 3 7 7 3 7 7 3 7Blacksmith-15
13 18 18 18 18Godzilla-5
13 13 5 13 5 13 5 13 5Godzilla-9
8 5 8 5 5 8 5 5 8 5 5 8 5 5Godzilla-14
7 12 7 7 12 7 7 12 7 7Golden-10
7 7 5 7 7 7 5 7 7 7 5 7 7Golden-13
8 11 11 11 11 11 11 11Greeley-8
8 8 3 8 3 8 3 8 3 8 3 8 3 8 3Greeley-15
23 4 23 4 23 4 4Magic-7
19 4 4 4 19 4 4 19 4 4Magic-10
15 4 4 4 15 4 4 4 15 4 4 4 4Magic-13
3 16 3 3 16 3 16 3 3 16 3Myna-11
3 3 13 3 3 3 13 3 3 3 13 3 3 13 3Myna-15
5 12 5 12 5 12 5 12 5 12Trisedodge-10
5 5 7 5 5 7 5 5 7 5 5 7 5 5 7Trisedodge-15

86 tone equal modes:

7 11 7 11 7 7 11 7 11 7Decimal-10
7 7 7 7 7 8 7 7 7 7 7 8Injera-12
7 7 7 7 7 7 1 7 7 7 7 7 7 1Injera-14
3 11 11 3 11 11 3 11 11 11Migration-10
14 11 14 11 14 11 11Mohajira-7
3 11 11 3 11 11 11 3 11 11Mohajira-10
9 9 9 9 14 9 9 9 9Negri-9
9 9 9 9 9 9 9 9 9 5Negri-10
7 7 7 7 7 7 9 7 7 7 7 7Passion-12
7 7 5 7 5 7 5 7 7 5 7 5 7 5Urchin-14

87 tone equal modes:

8 7 8 5 8 7 8 8 5 8 7 8"Just" Chromatic
14 14 14 14 14 17Hemithirds-6
14 14 14 14 14 14 3Hemithirds-7
11 3 11 3 11 3 11 3 11 3 11 3 3Hemithirds-13
5 18 5 18 5 18 18Kleismic-7
5 5 13 5 13 5 5 13 5 5 13Kleismic-11
7 7 8 7 7 7 8 7 7 7 8 7Misty-12
7 7 7 7 12 7 7 7 7 7 12Parizek-11
7 7 7 7 7 5 7 7 7 7 7 7 5Parizek-13
10 10 10 10 10 10 10 10 7Progression-9
17 17 17 19 17Rodan-5
15 2 15 2 15 2 15 2 2 15 2Rodan-11
7 5 5 7 5 7 5 5 7 5 7 5 5 7 5Ternary-15
11 11 7 11 11 7 11 11 7Triforce-9
4 7 4 7 7 4 7 4 7 7 4 7 4 7 7Triforce-15

88 tone equal modes:

5 9 9 5 9 5 9 5 9 9 5 9Meantone Chromatic (3/10-comma), Harrison-Lucy-12
7 7 7 7 7 9 7 7 7 7 7 9Injera-12
7 7 7 7 7 7 2 7 7 7 7 7 7 2Injera-14
17 10 17 17 10 17Lemba-6
10 7 10 7 10 10 7 10 7 10Lemba-10
14 3 14 3 14 3 14 3 14 3 3Mothra-11
13 13 13 13 13 13 10Tetracot-7
3 10 3 10 3 10 3 10 10 3 10 3 10Tetracot-13

89 tone equal modes:

8 7 7 8 7 8 7 8 7 7 8 7Meantone 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 11Mohajira-10
5 5 13 5 5 5 13 5 5 5 5 13 5Muggles-13
3 17 3 3 17 3 17 3 3 17 3Myna-11
3 3 14 3 3 3 14 3 3 3 14 3 3 14 3Myna-15
7 7 10 7 10 7 7 10 7 7 10Orgone-11
5 9 5 9 5 9 5 5 9 5 9 5 9Unsmate-13

90 tone equal modes:

23 7 23 7 23 7Augmented-6
7 16 7 7 16 7 7 16 7Augmented-9
7 7 9 7 7 7 9 7 7 7 9 7Augmented-12
7 7 2 7 7 7 7 2 7 7 7 7 2 7 7Augmented-15
7 12 7 12 7 7 12 7 12 7Decimal-10
17 17 17 17 17 5Gorgo-6
5 12 5 12 5 12 5 12 5 12 5Gorgo-11
7 7 7 7 7 10 7 7 7 7 7 10Injera-12
7 7 7 7 7 7 3 7 7 7 7 7 7 3Injera-14
17 11 17 17 11 17Lemba-6
11 6 11 6 11 11 6 11 6 11Lemba-10
8 8 8 5 8 8 8 8 8 5 8 8Pajara-12

91 tone equal modes:

7 8 8 7 8 7 8 7 8 8 7 8Meantone Chromatic (1/7-comma), Romieu-12
17 10 10 17 10 17 10Dichotic-7
7 10 10 10 7 10 10 7 10 10Dichotic-10
5 19 5 19 5 19 19Kleismic-7
5 5 14 5 14 5 5 14 5 5 14Kleismic-11
7 6 7 6 7 6 7 6 7 6 7 6 7 6Septimal-14
9 11 9 11 9 11 9 11 11Septimin-9
9 9 2 9 9 2 9 9 2 9 9 2 9 2Septimin-14

92 tone equal modes:

3 11 11 3 11 3 11 3 11 11 3 11Meantone Chromatic (49/99-comma)
8 8 11 8 11 8 8 11 8 11Anguirus-10
8 3 8 8 3 8 8 8 3 8 8 3 8 8Anguirus-14
9 9 9 9 9 9 9 9 9 11Miracle-10
9 9 9 9 9 9 9 9 9 2 7 2Miracle-12

93 tone equal modes:

24 7 24 7 24 7Augmented-6
7 17 7 7 17 7 7 17 7Augmented-9
7 7 10 7 7 7 10 7 7 7 10 7Augmented-12
7 7 3 7 7 7 7 3 7 7 7 7 3 7 7Augmented-15
13 6 6 6 13 6 6 6 13 6 6 6Inflated-12
6 7 6 6 6 6 7 6 6 6 6 7 6 6 6Inflated-15
8 8 8 5 8 8 8 8 8 8 8 8Ripple-12
4 13 4 4 13 4 13 4 4 13 4 13Superpyth-12
12 12 7 12 12 7 12 12 7Triforce-9
5 7 5 7 7 5 7 5 7 7 5 7 5 7 7Triforce-15

94 tone equal modes:

9 7 7 9 7 9 7 9 7 7 9 7Twelve-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 5Hedgehog-14
15 15 15 15 15 15 4Spell-7
11 4 4 11 4 11 4 11 4 11 4 11 4Spell-13
18 11 18 18 11 18Lemba-6
11 7 11 7 11 11 7 11 7 11Lemba-10
9 7 9 5 9 7 9 9 9 3 9 9Marvel-12
11 11 11 11 11 11 11 11 6Progression-9
7 9 7 7 9 7 9 7 7 9 7 9Schismic-12
8 8 5 8 5 8 5 8 8 5 8 5 8 5Urchin-14

95 tone equal modes:

8 11 8 11 8 11 8 11 8 11Blacksmith-10
8 3 8 8 3 8 8 3 8 8 3 8 8 3 8Blacksmith-15
18 18 18 18 18 5Gorgo-6
5 13 5 13 5 13 5 13 5 13 5Gorgo-11
7 7 7 7 7 7 7 7 7 7 7 7 7 4Octacot-14
17 13 13 13 13 13 13Porky-7
8 8 8 7 8 8 8 8 8 8 8 8Ripple-12
11 6 11 11 6 11 11 11 6 11Suhajira-10
6 13 6 13 6 13 6 13 6 13Trisedodge-10
6 6 7 6 6 7 6 6 7 6 6 7 6 6 7Trisedodge-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 11Buzurg
11 18 11 10 6 12 21 7Buzurg-Hijaz
7 18 7 7 18 7 7 18 7Augene-9
7 7 11 7 7 7 11 7 7 7 11 7Augene-12
7 7 7 4 7 7 7 7 4 7 7 7 7 4 7Augene-15
9 4 9 9 4 9 4 9 4 9 9 4 9 4Hedgehog-14
11 9 9 11 9 9 11 9 9 9Submajor-10
22 3 3 3 22 3 3 3 22 3 3 3 3Wurschmidt-13

97 tone equal modes:

11 6 6 11 6 11 6 11 6 6 11 6Twelve-tone Chromatic (3/20-comma positive)
11 11 11 11 11 11 11 11 9Progression-9
7 12 7 12 7 7 12 7 7 12 7Superkleismic-11
5 7 7 7 5 7 7 7 5 7 7 7 5 7 7Superkleismic-15

98 tone equal modes:

7 9 9 7 9 7 9 7 9 9 7 9Meantone Chromatic (5/27-comma)
13 8 8 8 8 13 8 8 8 8 8Freivald-11
5 8 8 8 8 8 5 8 8 8 8 8 8Freivald-13
16 3 16 3 16 3 16 3 16 3 3Mothra-11
9 9 9 4 9 9 9 9 9 4 9 9Pajara-12

99 tone equal modes:

10 7 7 10 7 10 7 10 7 7 10 7Twelve-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 13Amity-7
5 12 12 5 12 12 5 12 12 12Hemififths-10
16 16 16 16 16 19Hemithirds-6
16 16 16 16 16 16 3Hemithirds-7
13 3 13 3 13 3 13 3 13 3 13 3 3Hemithirds-13
8 8 9 8 8 8 9 8 8 8 9 8Misty-12
16 5 16 5 5 16 5 5 16 5 5Parakleismic-11
11 5 5 11 5 5 5 11 5 5 5 11 5 5 5Parakleismic-15
23 3 3 3 23 3 3 3 23 3 3 3 3Wurschmidt-13
13 19 13 13 19 13 9Zeus7tri
13 13 13 15 13 13 13 6Zeus8tri

100 tone equal modes:

17 15 17 17 17 17Baldy-6
15 2 15 2 15 2 15 15 2 15 2Baldy-11
7 13 7 13 7 13 7 13 7 13Blackwood-10
7 6 7 7 6 7 7 6 7 7 6 7 7 6 7Blackwood-15
8 13 8 13 8 8 13 8 13 8Decimal-10
9 13 13 13 13 13 13 13Greeley-8
9 9 4 9 4 9 4 9 4 9 4 9 4 9 4Greeley-15
8 8 11 8 11 8 8 11 8 8 11Orgone-11
9 9 9 5 9 9 9 9 9 5 9 9Pajara-12
11 11 11 4 11 11 11 4 11 11 4Sensi-11

101 tone equal modes:

9 8 8 9 8 9 8 9 8 8 9 8Meantone Chromatic (1/22-comma)
9 8 9 7 9 8 9 9 7 10 7 9Genus diatonico-chromaticum
3 7 7 7 7 7 7 7 7 7 7 7 7 7 7Belauensis-15
16 16 16 16 16 16 5Spell-7
11 5 11 5 11 5 11 5 11 5 11 5 5Spell-13
12 7 7 7 7 7 12 7 7 7 7 7 7Thuja-13
5 7 7 7 7 7 7 5 7 7 7 7 7 7 7Thuja-15
27 5 27 5 5 27 5Magic-7, Witchcraft-7
22 5 5 5 22 5 5 22 5 5Magic-10, Witchcraft-10
17 5 5 5 17 5 5 5 17 5 5 5 5Magic-13, Witchcraft-13

102 tone equal modes:

9 11 11 9 11 9 11 11 9 11Echidnic-10
9 5 9 9 5 9 5 9 5 9 9 5 9 5Hedgehog-14
10 7 10 7 10 7 10 7 10 7 10 7Hexe-12
7 7 12 7 12 7 12 7 12 7 12Kumonga-11
7 7 7 11 7 7 7 7 7 7 7 7 7 7Nautilus-14
15 15 4 15 15 4 15 15 4Oodako-9

103 tone equal modes:

8 9 9 8 9 8 9 8 9 9 8 9Meantone Chromatic (3/22-comma)
10 10 10 10 10 10 10 10 10 13Miracle-10
10 10 10 10 10 10 10 10 10 3 7 3Miracle-12
7 7 7 12 7 7 7 7 7 7 7 7 7 7Nautilus-14
11 11 11 5 11 11 11 5 11 11 5Sensi-11
4 15 4 4 15 4 15 4 4 15 4 15Superpyth-12

104 tone equal modes:

11 7 7 11 7 11 7 11 7 7 11 7Twelve-tone Chromatic (2/23-comma positive)
9 9 9 16 9 9 9 9 16 9Diaschismic-10
9 9 9 7 9 9 9 9 9 7 9 9Diaschismic-12
28 5 28 5 28 5 5Magic-7
23 5 5 5 23 5 5 23 5 5Magic-10
18 5 5 5 18 5 5 5 18 5 5 5 5Magic-13

105 tone equal modes:

7 10 10 7 10 7 10 7 10 10 7 10Meantone Chromatic (2/9-comma), Rossi-12
17 17 5 17 5 17 5 17 5Godzilla-9
12 5 12 5 5 12 5 5 12 5 5 12 5 5Godzilla-14

106 tone equal modes:

9 8 9 9 9 9 9 8 9 9 9 9Bischismic-12
5 5 14 5 5 5 14 5 5 14 5 5 5 14Fleetwood-14
9 7 7 9 7 7 7 9 7 7 9 7 7 7Hemiamity-14
8 8 8 8 8 5 8 8 8 8 8 8 5 8Injerous-14
11 23 10 18 11 23 10Makam Suzinak II
18 11 26 7 18 8 8 10Makam Nikriz
11 23 10 18 11 23 10Makam Hicazkar I-Kadim
11 23 10 18 11 26 7Makam Hicazkar
14 5 7 11 7 18 8 8 10 18Makam Isfahan II
14 2 10 18 11 23 10 18Makam Karcigar
14 2 10 18 11 5 10 8 10 18Makam Araban
14 2 10 3 15 11 7 8 3 15 11 7Makam Hisar
11 15 18 18 8 18 18Makam Kurdi
11 26 7 18 8 8 10 18Makam Hicaz
11 26 7 18 8 18 18Makam Humayun
11 26 7 18 8 3 15 11 7Makam Sahnaz
19 7 18 18 8 3 15 11 7Makam Buselik
19 15 10 18 16 10 8 10Makam Nisaburek
10 18 11 23 10 18 8 8Makam Huzzam
18 7 18 8 11 7 18 11 8Makam Nisabur

107 tone equal modes:

6 11 11 6 11 6 11 6 11 11 6 11Meantone Chromatic (4/13-comma)
11 2 11 11 2 11 11 2 11 11 11 2 11Laz-13
9 9 9 8 9 9 9 9 9 9 9 9Ripple-12
17 17 17 17 17 17 5Spell-7
12 5 12 5 12 5 12 5 12 5 12 5 5Spell-13
17 7 7 17 7 7 7 17 7 7 7Squares-11
10 7 7 7 10 7 7 7 7 10 7 7 7 7Squares-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 18Ratio 1:2 Soft Chromatic Mixolydian
8 33 4 8 33 18 4Ratio 1:2 Soft Chromatic Lydian
33 4 8 33 18 4 8Ratio 1:2 Soft Chromatic Phrygian
4 8 33 18 4 8 33Ratio 1:2 Soft Chromatic Dorian
8 33 18 4 8 33 4Ratio 1:2 Soft Chromatic Hypolydian
33 18 4 8 33 4 8Ratio 1:2 Soft Chromatic Hypophrygian
18 4 8 33 4 8 33Ratio 1:2 Soft Chromatic Hypodorian
11 17 7 21 7 17 11 17Smith's Nova
7 21 7 21 7 17 11 17Smith's Star
7 7 7 7 7 7 7 7 7 7 7 10 7 7 7Valentine-15

109 tone equal modes:

12 7 7 12 7 12 7 12 7 7 12 7Twelve-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 5Octacot-14
7 7 7 7 7 7 7 7 7 7 7 11 7 7 7Tertiaseptal-15
16 16 16 16 16 16 13Tetracot-7
3 13 3 13 3 13 3 13 13 3 13 3 13Tetracot-13

110 tone equal modes:

21 13 21 21 13 21Lemba-6
13 8 13 8 13 13 8 13 8 13Lemba-10
13 4 13 4 13 4 4 13 4 13 4 13 4 4Secant-14
7 11 7 7 7 11 7 7 7 7 11 7 7 7Sentinel-14
18 7 7 18 7 7 7 18 7 7 7Squares-11
11 7 7 7 11 7 7 7 7 11 7 7 7 7Squares-14

111 tone equal modes:

11 8 8 11 8 11 8 11 8 8 11 8Twelve-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 20Machine-6
9 11 9 11 9 11 9 11 9 11 11Machine-11
9 9 10 9 9 9 10 9 9 9 10 9Misty-12
11 7 11 7 7 11 7 11 7 7 11 7 7Semisept-13
12 12 12 5 12 12 12 5 12 12 5Sensi-11

112 tone equal modes:

7 11 11 7 11 7 11 7 11 11 7 11Meantone Chromatic (7/27-comma), Meanpop-12
5 18 5 5 18 5 5 18 5 5 18 5Blackbirds-12
9 9 9 9 9 11 9 9 9 9 9 11Injera-12
9 9 9 9 9 9 2 9 9 9 9 9 9 2Injera-14
9 7 9 7 9 7 9 7 9 7 9 7 9 7Septimal-14
11 8 11 11 11 8 11 11 8 11 11Stacks-11
13 7 13 13 7 13 13 13 7 13Suhajira-10

113 tone equal modes:

10 9 9 10 9 10 9 10 9 9 10 9Meantone Chromatic (1/20-comma), Melkis-12
17 15 17 15 17 17 15Amity-7
8 8 13 8 13 8 13 8 13 8 13Kumonga-11
11 11 11 11 11 11 11 11 11 14Miracle-10
11 11 11 11 11 11 11 11 11 3 8 3Miracle-12
5 14 14 5 14 14 14 5 14 14Mohajira-10

114 tone equal modes:

13 7 7 13 7 13 7 13 7 7 13 7Twelve-tone Chromatic (2/13-comma positive)
10 10 10 7 10 10 10 10 10 7 10 10Diaschismic-12
11 8 11 8 11 8 11 8 11 8 11 8Hexe-12

115 tone equal modes:

9 10 10 9 10 9 10 9 10 10 9 10Meantone Chromatic (3/23-comma), Preston-12
15 11 15 11 15 11 15 11 11Orwell-9
4 11 11 4 11 11 4 11 11 4 11 11 11Orwell-13
17 7 7 7 7 7 7 7 7 7 7 7 7 7 7Slurpee-15
7 16 7 16 7 16 7 16 7 16Trisedodge-10
7 7 9 7 7 9 7 7 9 7 7 9 7 7 9Trisedodge-15

116 tone equal modes:

5 13 13 5 13 5 13 5 13 13 5 13Meantone 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 13Flattone-12
13 11 11 13 11 11 13 11 11 11Submajor-10
17 17 17 17 17 17 14Tetracot-7
3 14 3 14 3 14 3 14 14 3 14 3 14Tetracot-13

117 tone equal modes:

8 11 11 8 11 8 11 8 11 11 8 11Meantone Chromatic (4/19-comma), Meridetone-12
4 15 15 4 15 15 4 15 15 15Migration-10
4 15 15 4 15 15 15 4 15 15Mohajira-10
21 16 16 16 16 16 16Porky-7

118 tone equal modes:

11 9 9 11 9 11 9 11 9 9 11 9Meantone 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 10Bischismic-12
5 22 5 22 5 5 22 5 22 5Doublewide-10
5 5 17 5 5 17 5 5 5 17 5 5 17 5Doublewide-14
11 5 11 11 5 11 5 11 5 11 11 5 11 5Hedgehog-14
19 19 19 19 19 23Hemithirds-6
19 19 19 19 19 19 4Hemithirds-7
15 4 15 4 15 4 15 4 15 4 15 4 4Hemithirds-13
23 23 23 26 23Rodan-5
20 3 20 3 20 3 20 3 3 20 3Rodan-11
9 11 9 9 11 9 11 9 9 11 9 11Schismic-12
17 7 7 7 7 7 7 17 7 7 7 7 7 7Vishnu-14

119 tone equal modes:

7 12 12 7 12 7 12 7 12 12 7 12Meantone Chromatic (2/7-comma), Zarlino
10 10 10 9 10 10 10 10 10 10 10 10Ripple-12
13 13 13 5 13 13 13 5 13 13 5Sensi-11

120 tone equal modes:

4 23 4 4 23 4 23 4 4 23 4Myna-11
4 4 19 4 4 4 19 4 4 4 19 4 4 19 4Myna-15
11 11 11 5 11 11 11 11 11 5 11 11Pajara-12

121 tone equal modes:

13 8 8 13 8 13 8 13 8 8 13 8Twelve-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 10Golden-10
10 10 7 10 10 10 7 10 10 10 7 10 10Golden-13
7 9 7 9 7 9 7 9 7 9 7 9 7 9 9Hemikleismic-15
7 25 7 25 7 25 25Kleismic-7
7 7 18 7 18 7 7 18 7 7 18Kleismic-11
7 7 7 11 7 7 7 11 7 7 7 11 7 7 11Kleismic-15
19 16 19 16 19 16 16Ptolemy-7

122 tone equal modes:

9 11 11 9 11 9 11 9 11 11 9 11Meantone Chromatic (1/6-comma), Evelyne-12
17 5 17 17 5 17 5 17 17 5Astrology-10
11 11 11 6 11 11 11 11 11 6 11 11Pajara-12

123 tone equal mode:

18 18 5 18 18 5 18 18 5Oodako-9
10 7 7 10 7 10 7 7 10 7 10 7 7 10 7Ternary-15
13 13 8 13 13 8 13 13 8 13 8Wilson Golden-11

124 tone equal mode:

9 9 9 9 9 8 9 9 9 9 9 9 8 9Injerous-14

125 tone equal modes:

11 10 10 11 10 11 10 11 10 10 11 10Meantone Chromatic (1/19-comma)
4 15 15 4 15 4 15 4 15 15 4 15Meantone Chromatic (1/2-comma)
12 9 12 7 12 9 12 12 7 12 9 12"Just" Chromatic
23 23 5 23 23 5 23Iranian Diatonic
7 7 7 12 7 7 7 12 7 7 7 12 7 7 12Catakleismic-15
12 9 12 7 12 9 12 12 12 4 12 12Marvel-12

126 tone equal modes:

7 13 13 7 13 7 13 7 13 13 7 13Meantone Chromatic (5/16-comma)
11 4 11 11 4 11 11 11 4 11 11 4 11 11Anguirus-14
17 6 17 17 6 17 6 17 17 6Astrology-10
11 11 11 8 11 11 11 11 11 8 11 11Diaschismic-12

127 tone equal mode:

10 11 11 10 11 10 11 10 11 11 10 11Meantone Chromatic (4/31-comma)

128 tone equal modes:

13 9 9 13 9 13 9 13 9 9 13 9Twelve-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 17Ptolemy-7
25 25 25 28 25Rodan-5
22 3 22 3 22 3 22 3 3 22 3Rodan-11

130 tone equal modes:

4 9 9 9 9 9 9 9 9 9 9 9 9 9 9Belauensis-15
11 10 11 11 11 11 11 10 11 11 11 11Bischismic-12

131 tone equal modes:

8 13 13 8 13 8 13 8 13 13 8 13Golden Meantone Chromatic
21 17 21 17 21 17 17Mohaha-7

133 tone equal modes:

14 9 9 14 9 14 9 14 9 9 14 9Twelve-tone Chromatic (1/12-comma positive)
13 13 13 13 13 13 13 13 13 16Miracle-10
13 13 13 13 13 13 13 13 13 3 10 3Miracle-12

135 tone equal modes:

13 10 10 13 10 13 10 13 10 10 13 10Twelve-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 13Schismic-12

136 tone equal mode:

9 13 13 9 13 9 13 9 13 13 9 13Meantone Chromatic (5/22-comma), Wallaby-12

137 tone equal modes:

12 11 11 12 11 12 11 12 11 11 12 11Meantone 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 13Orwell-9
5 13 13 5 13 13 5 13 13 5 13 13 13Orwell-13

138 tone equal modes:

4 21 21 4 21 21 4 21 21Terrain-9
4 17 4 17 4 4 17 4 17 4 4 17 4 17 4Terrain-15

139 tone equal modes:

11 12 12 11 12 11 12 11 12 12 11 12Meantone Chromatic (1/8-comma)
9 9 9 9 9 9 9 9 9 9 9 13 9 9 9Valentine-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 17Hemififths-10
8 29 8 29 8 29 29Kleismic-7
8 8 21 8 21 8 8 21 8 8 21Kleismic-11
8 8 8 13 8 8 8 13 8 8 8 13 8 8 13Kleismic-15
9 9 9 9 9 9 9 9 9 9 9 14 9 9 9Tertiaseptal-15
12 12 11 12 12 11 12 12 11 12 12 11Undim-12

141 tone equal modes:

10 13 13 10 13 10 13 10 13 13 10 13Meantone Chromatic (4/21-comma)
5 18 18 5 18 18 18 5 18 18Mohajira-10
9 14 9 9 9 14 9 9 9 9 14 9 9 9Sentinel-14

142 tone equal modes:

13 11 11 13 11 13 11 13 11 11 13 11Meantone Chromatic (1/39-comma), Photia-12
14 9 14 9 9 14 9 14 9 9 14 9 9Semisept-13

143 tone equal mode:

9 14 14 9 14 9 14 9 14 14 9 14Meantone Chromatic (19/75-comma)

144 tone equal modes:

8 13 13 8 13 8 13 13 8 13 13 8 13Phi-12
7 7 19 7 19 7 19 7 7 19 7 19Quasisuper-12

145 tone equal modes:

8 15 15 8 15 8 15 8 15 15 8 15Meantone Chromatic (6/19-comma), Meanenneadecal-12
22 19 22 19 22 22 19Amity-7

146 tone equal mode:

11 13 13 11 13 11 13 11 13 13 11 13Meantone Chromatic (2/13-comma)

147 tone equal modes:

14 11 11 14 11 14 11 14 11 11 14 11Twelve-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 25Baldy-6
22 3 22 3 22 3 22 22 3 22 3Baldy-11

148 tone equal modes:

11 13 13 11 13 13 11 13 13 11 13 13Bidia-12
13 16 16 13 16 13 16 16 13 16Echidnic-10
5 19 19 5 19 19 5 19 19 19Migration-10

149 tone equal modes:

13 12 12 13 12 13 12 13 12 12 13 12Meantone 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 7Morrison Octacot-14

151 tone equal mode:

12 13 13 12 13 12 13 12 13 13 12 13Meantone Chromatic (1/8-comma)

152 tone equal modes:

15 11 11 15 11 15 11 15 11 11 15 11Twelve-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 20Amity-7
11 15 11 11 15 11 15 11 11 15 11 15Schismic-12
13 13 12 13 13 12 13 13 12 13 13 12Undim-12
22 9 9 9 9 9 9 22 9 9 9 9 9 9Vishnu-14

153 tone equal mode:

11 14 14 11 14 11 14 11 14 14 11 14Meantone Chromatic (2/11-comma), Silbermann-12

155 tone equal mode:

17 10 10 17 10 17 10 17 10 10 17 10Twelve-tone Chromatic (3/25-comma positive)

159 tone equal mode:

13 13 16 9 16 11 14 15 11 16 9 16Yarman-12

161 tone equal modes:

14 13 13 14 13 14 13 14 13 13 14 13Meantone 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 13Meantone Chromatic (1/29-comma)
16 12 16 9 16 12 16 16 16 5 16 16Marvel-12
28 25 28 25 28 32Hecatehex

171 tone equal modes:

16 13 13 16 13 16 13 16 13 13 16 13Meantone 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 16Schismic-12
14 14 15 14 14 14 15 14 14 14 15 14Term-12
5 26 26 5 26 26 5 26 26Terrain-9
5 21 5 21 5 5 21 5 21 5 5 21 5 21 5Terrain-15
11 11 11 11 11 11 11 11 11 11 11 17 11 11 11Tertiaseptal-15

176 tone equal modes:

17 13 13 17 13 17 13 17 13 13 17 13Twelve-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 16Meantone Chromatic (9/53-comma)
20 11 11 20 11 20 11 20 11 11 20 11Twelve-tone Chromatic (1/7-comma positive)
13 13 13 13 13 13 13 13 13 13 13 13 13 8Octacot-14

180 tone equal mode:

8 29 8 8 29 8 8 29 8 8 29 8Blackbirds-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 14Meantone 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 15Term-12

185 tone equal mode:

19 10 19 12 17 19 12 17 12 19 17 12Novadene

190 tone equal modes:

18 14 18 11 18 14 18 18 11 18 14 18"Just" Chromatic
37 24 37 13 37 5 37Maxx
24 13 24 13 5 32 5 24 13 24 13Septicyc
13 24 13 24 18 24 13 24 13 24Suzz

197 tone equal modes:

17 16 16 17 16 17 16 17 16 16 17 16Meantone Chromatic (1/15-comma), Minsys-12
44 19 19 33 11 33 19 19Alpharab
19 14 19 11 19 14 19 19 11 22 11 19BlueJI
14 19 11 19 19 14 19 19 11 14 18 20Hexy
11 11 11 19 11 11 11 19 11 11 11 19 11 11 19Catakleismic-15
19 44 19 33 19 44 19Major Gipsy, Double Harmonic Major

200 tone equal modes:

19 15 15 19 15 19 15 19 15 15 19 15Twelve-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 39Oktone

205 tone equal modes:

13 20 13 20 13 20 20 13 20 13 20 20Meantone Chromatic (1/4-comma)
19 16 19 12 19 16 19 19 12 19 16 19"Just" Chromatic
31 27 31 27 31 31 27Amity-7

Monday, May 27, 2019

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.


Sunday, May 26, 2019

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

Saturday, May 25, 2019

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

Friday, May 24, 2019

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.