Translate

Sunday, August 18, 2019

266. THE ANCIENT 1ST CIVILIZATIONAL GENERATION MUSIC MELODIC TYPE OF IMPROVISATION

Here is about how improvisation was carried out in ancient times and is still carried our by the lovers of the 1st civilizational generation music (see post 265).

THE KEY-WORD HERE IN THE 4TH GENERATION DIGITAL MUSIC FOR THE MUSICAL-THEORETIC IDEAS OF THIS   POST (AS FAR AS MORDEN SOFTWARE FOR MUSIC MAKING IS ) IS MELODY-SEQUENCERS AND ARPEGGIATORS

THE TERM  SEQUENCER MEANS HERE A LOOP OR RHYTHMIC CYCLE OF   A  MELODIC THEME THAT IS VARIATED INTERACTIVELY BY THE USER  IN A MELODIC SEQUENCER.

THERE MANY GOOD SOFTWARE PROGRAMS FOR THIS COMPOSITION AND IMPROVISATION LIKE FUGUE MACHINE, YAMAHA MOBILE SEQUENCER, THUMPJAM ETC. ALSO ARPIO  AND ARPEGGIONOME FOR GENERAL ARPEGGIOS ALTERNATED WITH MELODIC IMPROVISATIONS


1) THE RHYTHMIC THEME  (A PERCUSSION INSTRUMENT)

In addition  to the percussion instrument we may have a morphological rhythmic pattern E.g. A1 B1 B2 B3 or A1 A2 A3 B1 , which shows how the melodic theme is repeated or varied by translation inversion , expansion/contraction and rotation-mutation.

2) THE 5 OR 6 OR 7 NOTES SCALES


3) THE NOTES THAT THE MELODY STAYS MUCH LONGER (CENTERS THAT MAKE THE SIMPLICIAL SUB-MELODY)


4) ALTERING THE SCALE TO CREATE SCALES PROGRESSION



5) REPETITION PATTERNS IN THE  SCALES PROGRESSION


6) ISOCRATIC NOTES 



7) ISOCRATIC NOTES IN STRING INSTRUMENTS WITH FRET BOARD AND TUNING BY 5THS OR 8THS AND COMBINATIONS


8) NO UNDERLYING CHORDS AND NO  INSTRUMENT PLAYING ANY ACCOMPANYING CHORD.


9) BEST INSTRUMENTS FOR THIS  TYPE OF IMPROVISATION. THE HARP WITH LEVERS AND.OR PEDALS. 



IF THE CENTRAL  ENTITY IN HARMONY IS THE TRIAD CHORD THE CENTRAL ENTITY IN MELODY IS THE MELODIC THEME AND IN PARTICULAR THE OVERSIMPLIFIED VERSION OF SIMPLE MELODIC MOVE BY AN INTERVAL AS  TRACED IN SIMPLIFIED WAY BY THE SIMPLICIAL SUBMELODY.




Based on the above, the themes in the simplicial sub-melody as simple moves are of two polarities up (+) or down (-) and of three sizes Chromatic (symbol C) by intervals of 2nds, Melodic (symbol M) by intervals of 3rd and Harmonic (symbol H) by intervals of 4th, 5th, 8th or higher. Then the progression of the simplicial melodic themes in the song will have a symbolic form like E.g.

H(+)M(-)H(-)M(+)C(-)M(+)H(+).......etc

The translation/transposition  of a simplicial melodic theme retains its cahracter as chromatic , melodic or harmonic.
The inversion of a simplicial melodic theme inverses the + to - andthe - to +
The expansion/contraction of a simplicial melodic theme e.g. an expansion changes a chromatic to a melodic or harmonic and a melodic to an harmonic. A contraction changes an harmonic to a melodic or chromatic and a melodic to a chromatic.


265. THE 4 CIVILIZATIONAL GENERATIONS OF MUSIC. MONOPHONIC (MELODIC SCALES) POLYPHONIC (HARMONIC CLASSICAL MUSIC) IMPROVISATIONAL (JAZZ AND FOLK) DIGITAL (ELECTRONIC )


Thursday, August 15, 2019

264. A NEW BOWED STRING INSTRUMENT THE METRIC (FRETTED) LYRA OR FRET-LIN (OR...BOWED DULCIMER)


FRETBOARD VIOLIN (FRET-LIN OR METRIC-LYRA ) PLAYED AS CRETAN LYRA (OR  SMALL CELLO)


Many companies of electric violins manufacture them with frets on the fingerboard.

If we apply on the violin fingerboard ready made auto-sticking fretboards, we still can have tremolo and vibrato and even a type of glissanti while we do not spent so much time  learning the fingerboard. Then if we know fretboard string instruments like mandolin , ukulele, guitar it helps a lot to start playing the violin as an instrument without artificial difficulties.

(Here is such a product from a canadian musician http://www.frettedfiddle.com/ )





In addition it is by far more convenient to play it as they play the folk Lyra in Greece (Crete) and other places in other words like a small cello, on the knees. If we want to have also the bow falling with its own weight in stable way on the strings as in the standard position of the violin we may use simple bow drivers like these here https://www.aliexpress.com/item/32878752247.html?spm=a2g0s.9042311.0.0.21cd4c4deuojvB )

After learning to play adequately in this little violin-Lyra we may put the bow outside the plastic driver and on the site of  the upper side of the fretboard, and let simply this driver be used so that the bow does not get lower than this, and use its own weight to pressure, but still we may have the freedom of moves to turn the bow on its own axis at different angles if we want a more narrow surface of the touch on the strings.



FRENCH AND GERMAN BOW HOLDING

The bow in case of this modification of the violin which is essentially a new instrument that could be called FRET-LIN OR METRIC-LYRA can be either with the German (the hand lower than the bow) or French (the hand over the bow) way in cello. The French way gives more control because of more efficient use of the bones of muscles of wrist for difficult moves of the bow, but the German way is more relaxing. A best result is if we use both ways for difficult bowing the French way and for stand more easy bowing the German way.

CHORDS  IN FRET-LIN

Because the fingerboard is a fretboard, the chords shapes pressed by the fingers is a by far more practical practice than what is the case in violin.


GLISSANDO-GLASS FOR THE BOWED FRETTED-LYRA

By utilizing a sliding glass as in a havaia guitar, at the index or another finger, we may add very nice sounding glissanti melodies especially at t hose pieces of melody that the notes are few and not of very large intervals (2nds or 3rds)






ALTERNATIVE  TUNINGS FOR THE FRET-LIN OR METRIC-LYRA


1) As we wrote in post 209, there is a system of melodic improvisation based on drone (isocratic) interval of  an octave and melodies derived by alternating intervals 5th and 4rth so as to create successive power-5 chords among octaves. But this requires alo in string instruments special tuning and a space of 3 to 4 octaves.

happily for the violin have been created the octave-violin strings which are one octave lower from the standard. So instead of  G3-D4-A4-E5 these strings will tune the violin to G2-D3-A3-E4.

See e.g. https://www.youtube.com/watch?v=BgZdlEBpIBI


This allows for  mixed low-standard tunings of the violin for melodic improvisations as inpost 209 that are 8-5-8 meaning that the 1st-2nd string are one octave apart , the 2nd-3rd one fifth apart and the 3rd-4th one octave apart E.g.

G2-G3-D4-D5 (utilizing strings octave G2, standard G3, octave D3, standard E4 for the D5 ) or

A2-A3-E4-E5 (utilizing strings octave G2 for A2 , standard A3, octave E4, standard E5)

The 2nd requires one tone loosening one standard string and the 1st one octave string and one standard string tightening by one tone.


OTHER  ALTERNATIVE TUNINGS


1) HARMONIC TUNING FOR 4-STRINGS

(These  tunings are not only mainly for playing arpeggios and simplicial submelody, when another ,usually wind , instrument is playing the solo, but also when the Lyra is playing solo)


This is an alternating minor-major 3rds tuning that has open chords in normal position per consecutive 3 strings and also a 7nth open chord in normal position for all 4-strings (see post 90 )

It is the tuning

E4-G4-B4-D5

It is an open E minor 7nth chord

We use for the D5 the E5 violin string. For the B4 the A4 violin string. For the G4 the A4 violin string For the E4 the D4 violin string.

This tuning has the maximum number of chord shapes per number of frets, and also all the melodies are quite compact close when changing from string to string.

Because the tuning by 3rds has less total range to increase it we may have the 1st two strings one octave lower by using octave violin strings. In other words


E3-G3-B4-D5

Then the E3 is by the D3 octave violin string, and the G3 by the normal G3 violin string.

The above harmonic tuning has privileged scale the G major. For folk sings and jazz songs we may have also as privileged scale the F major as follows:

D4-F4-A4-C5

It is an open D minor 7nth chord

We use for the C5 the E5 violin string. For the A4 the A4 violin string. For the F4 the A4 violin string For the D4 the D4 violin string.



2) UKULELE TUNING

Of course an alternative tuning for many chords but not in normal position is the ukulele tuning.

It is the tuning

D4-G4-B4-E5

We use for the E5 the E5 violin string. For the B4 the A4 violin string. For the G4 the A4 violin string For the D4 the D4 violin string.


3) THE OCTAVES 3 STRING TUNING:

This is utilizing again the D3 octave string of the violin and it is simply the

D3-D4-D5

For the D5 we use obviously the E5 string

The advantage is obviously very easy grasping of the notes on the fingerboard , as known one strings is known all the violin.

4) THE PANDURI OR OPEN MAJOR CHORD  3 STRING TUNING:

These tunings have less range than the tunings by 5ths , but also other advantages that we describe here

These PANDURI tunings are not only mainly for playing arpeggios and simplicial submelody, when another ,usually wind , instrument is playing the solo but advantageous, as we explain below when the Lyra is playing solo too.

For solos, the tunings below have the characteristic that we can easily-readily play the 2nd or 3rd voice on the other 2 strings. In addition as the strings are  close and differ only at an interval of 3rd, and as most melodies have a span of 1-2 octaves, then all of the  melody  they can be played in  one only of the 3 strings which is quite intuitive in its linear pitch order, as in harp or panflute (except here chromatically not diatonically).

This is not utilizing octave strings of the violin and it is simply the open G3 major chord. The advantage is obviously very easy arpeggios (harpisms) on all chords of the (G major) diatonic scale.

G4-B4-D5

For the D5 we use obviously the E5 string and for the B4 the A4 string of the violin.

For the G4 we use the A4 string of the violin

Or we can set the

F4-A4-C5

For the C5 we use obviously the E5 string and for the A4 the A4 string of the violin.

For the F4 we use the A4 string of the violin

The above tuning is best for familiar sound of chords.

If we want ab octave lower such tuning, in other words

F3-A3-C4

Then we utilize a G3 string for the F3, an octave violin A3 string or a standard violin G3 string again, and for the C4 the standard violin D4 string.

There is also a similar open major chord (panduri) tuning which is a 4th higher (for arpeggione and simplicial sub-melody to the solo melody played by another instrument ) but still in a diatonic scale fitting the brass winds the clarinet and the saxophone in Bb

Bb4-D5-F5

For the F5 we use obviously the E5 string and for the D4 the E4 string of the violin.

For the Bb4 we use the A4 string of the violin


If we want a larger range  version of the open major chord tuning,then we may utilize the D3  string of the violin and an octave G2 string of the violin and have the tuning by jumping an octave between the notes as follows:

G2-B3-D5

This 3-string tuning has larger range than the usual 4-strings violin!

Nevertheless because of the octaves between the strings the sound of the chords is not so natural as the previous more narrow range tuning.







A VERSION WITH 2 ONLY STRINGS

For starters it is more convenient to start learning it  with 2 only strings tuned   D4-A4

or D4-D5

We may start with rather cheap chinese violin that start from........30-40 $ or 90-110 $ and if we still like playing the instrument after a year we may proceed with more expensive violin bodies.






HERE IS ANOTHER MUSICIAN (Jirka Hájek)


Jirka Hájek


WHO HAD THE SAME IDEA AND DID THE SAME THING TO HIS VIOLIN

1) HE ADDED FRETS
2) HE IS PLAYING IT LIKE A LYRA WHICH IS MORE EGONOMIC


SEE ALSO A SIMILAR IDEA AT THE BOWED DULCIMER WHICH  MAY BE CONSIDERED A FRETTED VIOLIN, FRETTED VIOLA, FRETTED CELLO










COMPARISON WITH OLDER INSTRUMENTS

We may compare it with the Scandinavian nyckelharpa and the medieval mechanical violin hurdy-gurdy

NYCKELHARPA



HURDY-GURDY






Wednesday, August 14, 2019

263. CHROMATIC TONAL MUSIC DIFFERENTIATED FROM TONAL, MULTI-TONAL AND ATONAL MUSIC.

CHROMATIC TONAL MUSIC COMPARED TO MULTI-TONAL MUSIC OR ATONAL MUSIC.


IN THIS ARRICLE WE DISCUSS HOW STARTING FROM A DIATONIC SCALE
WITH CHORDS IN STEPS 1M-2m-3m-4M-5M-6m-7d-1'M WE PASS TO ALL THE 12-TONES SCALE (WHICH IS AN ADDITIONAL MAJOR PENTATONIC SCALE OF BLUE NOTES 5b-6b-7b-2b-3b)  BY A) CHANGING THE MAJOR CHORDS TO MINOR CHORDS AND VICE-VERSA B) BY ADDING MAJOR OR MINOR OR DIMINISHED CHORDS ON THE CHROMATIC OR BLUE NOTES: 2bM 3bM 5bM 6bM 7bM OR 2bm 3bm 5bm 6bm 7bm OR 2bdim 3bdim 5bdim 6bdim 7bdim.

THIS PASSAGE FROM THE TONAL MUSIC TO AN HARMONY AND MELODY OF ALL 12 NOTES IN A SONG WILL BE CALLED CHROMATIC TONALITY . IT IS THE FULL CHROMATIC TONALITY IF IT PASSES TO ALL12 NOTES OR PARTIAL CHROMATIC TONALITY IF IT ENHANCES TO ONLY SOME OF THE 5 CHROMATIC OR BLUE NOTES

Let us start with:

THE DIFFERENCE OF USING MINOR CHORDS (SADNESS THROUGH BLUE NOTES) IN EARLY WESTERN JAZZ COMPARED TO OTHER POP AND FOLK MUSIC AND EASTERN (GYPSY) JAZZ.


Incorporating minor chords in major chords is of course the way that we feel sadness after or before we  feel happy.


POP OR OTHER FOLK MUSIC METHOD
In most of the usual pop and folk music in various cultures , the use of minor chords ,in a song e.g. which jas as part of major chords the main triad 5M-1M-4M of a diatonic scale (e.g. in C major G major-C major-F major) is to shift the triad of the lower relative minor chords in the same diatonic scale   3m-6m-2m  (e.g. shifting from the triad of  G major-C major-F major to the triad E minor A minor D minor).

EARLY WESTERN JAZZ METHOD
But in early jazz the incorporation of minor chords e.g. in a song which is utilizing the triad of majors 5M-1M-4M of a diatonic scale (e.g. in C major G major-C major-F major) is by shifting to the same root minor chords 5m-1m-4m (e.g.  G minor-C major-F minor). It is not necessary that the are used all 3 minor chords maybe only one or oly two of them. This essentially means that instead of the middle notes of the major chords:  B for G major E for C major and C for F major they are used the 
Bb, Eb , Ab (which by the way are all notes of the Eb major scale). Which is equivalent to the notes 

Bb, Eb G#. Notice that two of them  the Eb and G# are 2 of the first 4 Blue notes of the C major scale as described in post 245.

Notice of course that all the 5 blue notes 2b 3b 5b 6b 7b make a major pentatonic scale with root 5b and main chords 5b major and 3b minor. 

We repeat here the main definitions and concepts of Blue notes which are in total 5 notes and make by their own a pentatonic scale (in the case of the C major scale the black keys of the piano )

We remind the reader that in the online notes here we call a sequence of 7 interval that sum-up to 12 semitones a mode and all cyclic permutations of it as the scale that the mode belongs.

As it was mentioned in post 40 the order of how much harmonic is  an interval (and interval is more harmonic than another means that the two notes have a  greater number of common harmonics or overtones) the order of "harmonicity" is

8th>5th>4th> major 3rd>minor  3rd

The first 4 blue notes of the diatonic scale are  by definition the neighboring by one semitone notes to the interval of 5th c-g thus g# f# around g and c# around c and the same with the best next interval of major 3rd c-e thus d# or c# again . This gives the maximum shift from an harmonic interval to one with dissonance thus chromaticity. 

There cannot be other as first 4 notes other than the above 4 blue notes for the first 2 best intervals (5th and major 3rd) around the roor note .

Obviously a way to add all the 5 chromatic notes to a  diatonic scale is to alter some major chords to minor with the same root or vice versa.

Then the order of the chromatic notes 5#, 4#, 1# , 2#, 6# would give the next order of altering majors to minors or vice versa

3 minor ->3 major or 4 major->4 minor (for 5#) 
2 minor-> 2 major (for 4#)
6 minor -> 6 major (for 1#)
1 major-> 1 minor (for 2#)
5 major-> 5 minor (for 6#)

or in symbols


3m->3M
4M->4m
2m->2M
6m->6M
1M->1m
5M->5m

The 1st blue note (5#) may make also the 4M chord 4m, so making the basic triad 5N 1M 4M, to 5M 1M 4m. Also the 2nd blue note 2# or 3b allows, for a 1 minor chord too. making therefore the triad 5N 1M 4M to  5M 1m 4M  or   5M 1m 4 m. This is met quite often in Early jazz as method to add sad  minor chords to the main happy triad of major chords.

As we mentioned in the full chromatic tonality the major chords 1M 4M 5M may turn to minor chords
1m, 4m, 5m and good ways to do it are the next 1) we may turn the 4M to 4m as invesions of the resulotion 1M->4M, thus 1M-4M->4m->1M (see also post 29) . Similarly the 1M to 1m atthe inversion of the resolution 5M->1M->1m->5M. Finally the 5M is turned to 5m in agood way if we temporarily shift to the 7b major diatonic scale which will  turn the 5M to 5m (as 6m in 7b major) and also turn the 1M to 1m (as 2m in 7b major).

EASTERN (GYPSY) JAZZ METHOD

In this type of jazz, there also used 2 of the 4 first Blue notes of the diatonic scale which are the 2# or 3b and 5#, in other words the same two blue notes of the early Western jazz. Nevertheless the way that they are used is by substituting the 2 with 2# and 5 with 5# , thus creating the double harmonic minor scale 6-7-1-2#-3-4-5#-6 . Therefore they are introduced as a new chromatization of the natural minor scale, which goes with further changes inthe chords of the original diatonic scale.

The 5# makes the 3m to 3M , 
the 2# makes the 7dim to 7M, 


IN SUMMARY BOTH EARLY WESTERN AND EASTERN (GYPSY) JAZZ MAY MAKE THE NEXT 7 TEMPORARY CHANGES IN THE CHORDS OF THE DIATONIC SCALE DUE TO THE 4 FIRST BLUE NOTES 

3m becomes 3M
7dim becomes 7M
5M becomes 5#dim
2m becomes 2M
6m becomes 6M
4M becomes 4m or 4dim
1M becomes 1#dim

We may notice that it resembles a change of tone from the 1 major to 3 major (e.g. C major to E major) but the details are be far different.

Obviously not all of these changes occur necessarily simultaneously in a single song. maybe only few of them. And usually at least 50% of the time the chords are the normal of the diatonic scale. Other ways to organize them and perceive them are as triads of harmonic pairs of chords (see post 215  
IMPROVISATION OVER A PAIR OF CHORDS . TRIADS OF HARMONIC PAIRS OF CHORDS. ). This awareness of these alterations of the normal chords of a diatonic scale (by blue notes) allows for a consistent and rich system of harmony for composing and improvising early jazz type of jazz.

There are musicians that consieve these changes as modulations say from the C major scale to th Fmajor scale and/or to the A major scale. But the above approach based on the harmonic minor and double harmonic minor seems more correct.

Triads of chromatic tonality that are often met and are based in one of the chromatic 7-notes scales the harmonic minor, the meapolitan and the double chromatic minor are the next

3M7-6m-2m  (harmonic minor)

7M7-3m-6m (Neapolitian)

6M7-2m-5m (harmonic minor)

All the three above triads (double harmonic minor)

2M7-5m-1m

5M7-1m-4m

1M7-4m-7m

4M7-7m-3m

Chromatic shifts of them by an interval of 2nd are e.g. the next

7M7-3m-6m->
1M7-4m-7m

Or 

1M7-4m-7m->
2M7-5m-1m

Or 

6M7-2m-5m->
1M7-3m-6m

Etc

Cycles of 6 chords in harmonic relations are the next 7

1M7-4m-7m->
3M-6M-2M

2M7-5m-1m->
4M-7M-3M

3M7-6m-2m->
5M-1M-4M

4M7-7m-3m->
6M-2M-5M

5M7-1m-4m->
7M-3M-6M

6M7-2m-5m->
1M-4M-7M

7M7-3m-6m->
2M-5M-1M




1ST CHROMATIC TONALITY 7-CHORD-SCALE OR 7-CHORD CYCLE  

THEREFORE IT IS A VERY COMMON IN WESTERN JAZZ GYPSY JAZZ (e.g. "For Wesley") CLASSICAL MUSIC (e.g. "Moon light sonata" of Beethoven) ANDEAN MUSIC ETC THE NEXT CYCLE OF CHORDS OR SCALE OF CHORDS THAT CAN BE CALLED  1ST CHROMATIC TONALITY 7-CHORD-SCALE OR 7-CHORD CYCLE  THE NEXT

6m->2m->5M->1M->4M->7M->3M->6m

or with 7nths in Jazz

6m7->2m7->5maj7->1maj7->4maj7->7M7->3M7->6m7

There are even pocket chord-harmonicas (e.g. tombo pocket-chord harmonica) designed to play exactly this cycle of chords

AS WE MAY NOTICE THIS SYSTEM OF HARMONY WITH THE FIRST 4 BLUE NOTES (AND  5TH BLUE NOT 6#=7b  MAY BE ADDED) IS ESSENTIALLY A METHOD TO PLAY SOONER OR LATER IN THE MELODY ALL THE 12 NOTES OF THE FULL CHROMATIC SCALE STARTING FROM THE 7 NOTES OF THE DIATONIC SCALE AND RETURNING TO THEM AGAIN.

CONVERSELY ANY MELODY WHICH STARTS AS MELODY OF A DIATONIC SCALE AND THEN EVOLVES WITH ANY TURN AND ANY MOVE INSIDE THE 12-NOTES FULL CHROMATIC SCALE CAN BE COVERED OR ACCOMPANIED WITH THE NEXT ALTERNATIONS OF THE CHORDS OF THE DIATONIC SCALE. IN WESTERN JAZZ IT IS CONCEIVED AS ALTERATIONS DUE TO THE BLUE NOTES WHILE IN EASTERN JAZZ AS ALTERATIONS DUE TEMPORARY CHANGE OF THE NATURAL MINOR TO ONE OF THE CHROMATIC MINORS (HARMONIC, DOUBLE HARMONIC , NEAPOLITAN , PARACHROMATIC MINORS ETC) THIS MAY BE CALLED CHROMATIC TONAL MUSICAS CONTRASTED TO MULTI-TONAL MUSIC OR ATONAL MUSIC.


THE JAZZ AND CHROMATIC TONAL MUSIC, HARMONIC PERSONALITY


Steps of the chromatic scale/Harmonic Personality
1
1#
2
2#
3
4
4#
5
5#
6
6#
7

JAZZ PERSONALITY
1M(ajor) or 1m
1#Dim or 6M
2m(inor) or 2M(ajor)7
7M
3or 3M(ajor)7
4or 4m or 4Dim
2M7
5M7 or 5m
5#Dim or 3M7
6or 6M7
5m
7Dim or    7Major7


Another way to order the chords is as an arc in the wheel by 4ths

1) 7Dim or    7Major7
then
2) 3or 3M(ajor)7
then
3) 6or 6M7
then
4) 2m(inor) or 2M(ajor)7
then
5) 5M7 or 5m
then
6) 1M(ajor) or 1m
then
7) 4or 4m or 4Dim

Then based on the above we may have chord progressions in the chromatic tonality E.G. as following:



(a)       5M 1M 2m 5M 1m 4M 7dim 3M 6M 2m 5M 1M....etc







IF THE CENTRAL  ENTITY IN HARMONY IS THE TRIAD CHORD THE CENTRAL ENTITY IN MELODY IS THE MELODIC THEME AND IN PARTICULAR THE OVERSIMPLIFIED VERSION OF SIMPLE MELODIC MOVE BY AN INTERVAL AS  TRACED IN SIMPLIFIED WAY BY THE SIMPLICIAL SUBMELODY.

Based on the above, the themes in the simplicial sub-melody as simple moves are of two polarities up (+) or down (-) and of three sizes Chromatic (symbol C) by intervals of 2nds, Melodic (symbol M) by intervals of 3rd and Harmonic (symbol H) by intervals of 4th, 5th, 8th or higher. Then the progression of the simplicial melodic themes in the song will have a symbolic form like E.g.

(b)      H(+)M(-)H(-)M(+)C(-)M(+)H(+).......etc


E.g. if we take one note the middle note of each chord in the chromatic tonality chord progression (a) above, and take as simplicial melodic themes the moves created by the chord transition, then we may produce such a progression of melodic moves as following

H(e) M(e) H(e)H(e)C(e) H(e) H(e) H(e) H(e) C(e) He() ......etc

where e=+ or -



See also about   the 4 basic minor scales

https://www.youtube.com/watch?v=kobgAsDZxsw


HARMONIZING ALL 5 BLUE NOTES OR CHROMATIC NOTES (2b  3b   5b   6b and 7b)  FROM THE 7 NOTES OF THE DIATONIC SCALE TO THE 12 NOTES OF THE FULL WESTERN MUSICAL (CHROMATIC) UNIVERSE

According to musicologists of Jazz and Ethnic music (as appearing e.g. in music arrangement software like the music machines of Microsoft), the next scales of chords (that cover the steps of the chromatic 12-tone scale) correspond to the next chromatic harmonic personalities.

I BELIEVE THAT THE MAIN USE OF THIS CONCEPT IS IN JAZZ WHERE THE ROLE OF  THE DIATONIC SCALE (TONALITY) IS RATHER LOOSE,IN THE SENSE THAT IT IS REQUIRED AT LEAST 50% OF THE TIME THE NOTES OF THE MELODY AND CHORDS TO BE IN THOSE OF THE DIATONIC SCALE AND THE REST OF THE TIME IN THE 12-NOTES FULL CHROMATIC SCALE. THUS THE TYPES OFTHE CHORDS WITH ROOTS ON THE REST OF THE NOTES OF THE 12-NOTES CHROMATIC SCALE COMPARED TO THE 7-NOTES DIATONIC SCALE IS SO AS TO APPLY FOR THE REST OF THE MELODY AND ITS CHORDS. E.G. THE SOFTWARE MIDI-GUITAR ALLOWS WITH AN ARPEGGIATOR TO ACCOMPANY AUTOMATICALLY ANY MELODY WITH CHORDS OVER THE MELODY'S NOTES, THAT IN PRACTICE ARE CHORDS THAT  SOUND ONLY FOR THE CENTERS OF THE MELODY THAT ARE NOTES THAT SOUND LONGER. 
THERE ARE THOUGH OTHER USES OF THIS 12-NOTES SCHEME OF HARMONIC PERSONALITIES.

As we see in the harmonic personality of Righteous(Major) and Honest (major) the perturbation of the 7-notes  diatonic scale to the 12-notes fully chromatic scale is by diminished 7nth chords.


Steps of the chromatic scale/Harmonic Personality
1
1#
2
2#
3
4
4#
5
5#
6
6#
7

Righteous(Major)
M(ajor)
Dim7
m(inor)
Dim7
m
M
Dim7
7
Dim7
m
4,2
Dim7

Honest (major)
M
Dim7
m
Dim7
m
M
Dim7
7
Dim7
m
M
dim

Hopeful (Mixolydian)
M
M
m
M
dim
M
m
m
M
m
M
dim

Serious (Phrygian)
m
M
6,3
M
6,3
m
6,3
dim
M
6,5
m
6,5

Upbeat(Mixolydian)
M
M
m
M
m
M
M
M
M
m
M
dim

Searching(Dorian)
m
M
m
M
dim
M
dim
m
M
dim
M
dim

Lonely (major)
7
Dim7
m7
Dim7
7
7
Dim7
7
7
7
7
7

Funky(Mixolydan)
7#9
7
m7
9
m7
9
7
7
7
m7
6,3
7

Sad(minor)
m7
M
6,3
M7
6,3
m7
6,3
m7
M7
6,5
M
6,5

Romantic(major)
M
6,3
m7
6,3
m7
M7
6,3
9s
6,3
m7
M
m7b5

Boogie(major)
7
Dim7
7
Dim7
7
7
Dim7
7
Dim7
7
7
7

Noble(major)
M
6,3
m
6,3
6,3
M
6,3
M
4,3
6,3
4,2
6,3

Bittersweet(Harmonic minor)
m
6,5
m7b5
M
Dim7
m
Dim7
7
M
m7b5
M
dim7

Adventurous(H-minor)
m
M
6,3
M
6,3
m
6,3
m
M
6,5
M
6,5

Striving(minor)
M7
M
6,3
M7
6,3
m7
6,3
m7
M7
6,5
M
6,5

Sophisticated(major)
6,9
Dim7
m11
Dim9
m7
M9#11
Dim7
13
Dim7
m11
9#11
Dim9

Miserable(mixolydian)
13
Dim7
m11
Dim9
m11
13
Dim7
13
Dim7
m11
9#11
Dim9

Complex(major)
2
6,3
m11
Dim7
m6,7
2M7
6,3
9s
2M7
6,3
2
6,3









Examples of chord progressions  in chromatic tonality in Portugues guitar folk music (E.g. Jorge Fontes https://www.youtube.com/watch?v=A6c34JP3JsE&t=150s&ab_channel=tbanjotbanjo)

1) 
triad of major chords=5M 1M 4M

cycle of chords with minors=1M-4m-7bm

2) 

triad of major chords=5M 1M 4M

cycle of chords with minors=6M-2m-5M

3) 
triad of major chords=5M 1M 4M

cycle of chords with minors=5M-1M-4m

4) 

triad of major chords=5M 1M 4M

cycle of chords with minors=5M-1m-4m

5) 
triad of major chords=5M 1M 4M

cycle of chords with minors=2M-5m

6) 
triad of major chords=5M 1M 4M

cycle of chords with minors=3M-6m-2m

7) The 5) and 6) together

1st triad of major chords=5M 1M 4M
1st cycle of chords with minors=7M7-3M-6m-2m (double harmonic minor)

2nd triad of majors  7M7-3M7-6M       (shifts in the upper relative major scale) 
2nd cycle of chords with minors=4#M7-7m (as if harmonic minor in in   2 major scale) 

8) 

triad of major chords=5M 1M 4M

cycle of chords with minors=6m-2m-5M

9) 

1st triad of major chords=5M 1M 4M

1st cycle of chords with minors=3M-6m-2m

2nd triad of major chords=7M7 3M7 6M  (upper relative major scale) 

2nd cycle of chords with minors=4#m-7m-3M-6M

10) 

1st triad of major chords=5M 1M 4M

1st cycle of chords with minors=1M-4m-7bm

2nd cycle of chords with minors=2M-5m