395. RANDOMIZING THE SEQUENCE OF AN HARMONIC CYCLE OF CHORDS BY INTERPOLATING MELODIC AND SUPERCHROMATIC CHORD TRANSITIONS BY MAJOR CHORDS .60% harmonic chord transitions, 30% melodic transitions, 10% superchromatic transitions.

 RANDOMIZING THE  SEQUENCE OF THE CYCLE BY INTERPOLATING MELODIC AND  SUPERCHROMATIC CHORD TRANSITIONS. 60% harmonic chord transitions, 30% melodic transitions, 10% superchromatic transitions. 

When we are as above ina harmonic 6 cycle or 7 cycle or 8 cycle , instead of runningthe cycle with its harmonic sequence order, we may randomize the sequencing by utlizing 

a) Super-chromatic transitions, in other words transition that the roots  of the chord diffe by a semitone onle (thus only 2 such transitions possible)

b) Melodic trasnitions, in other words transitions that the roots of the chords differ by a mior or major 3rd. In such melodic trasnitions the musical effect is more exciting when both chords are of major type.

An example of such a nice harmony is  the song "song for two Pamelas" by David Grisman and Tony Rice.

https://www.youtube.com/watch?v=w9YdcbzcL6Y&ab_channel=TonyRice-Topic

Here the 7 cycle is 7M7-> 3M7-> 6m (6M7)-> 2m (2M7)-> 5M7-> 1M-> 4M

and the red pairs are melodic transitions while the blue pair superchromatic transitions

In other words we avoid the simple chromatic and not super chromatic, transitions. 

6m  4M  3M7

6m 6M7 2m

5M7  1M  4M

4M7 3M7 6m

6M7 1M7 4M 

4M7 2M7  5M7 

5M7 3M7 6m

4M7 3M7 2m 

4M7 6M

6m 2m 7M7

7M7 3M7 6m

6M7 2m

5M7 1M 

Another example is a piece of Gypsy jaz with the following 3 parts of chord progressions

The  t=n is the measures and each measure has two beats. The Beats are fast 220 per minute.

A    6m t=4   2m t=4

      3M7 t=4   6m t=4

B   4M t=2  5M7 t=2

      3m  t=2 6M7 t=2

      2M7  t=4 5M7 t=4

C  1M t=8

     4M  t=2 5M7 t=2

     3m t=2  6M7 t=2

     2m t=2 5M7 t=2

    1M  t=2 6M7 t=2

     2M7 t=4 5M7 t=4 

It is based on the harmonic 6 cycle of chords 3->6->2->5->1->4 

And it has 66% harmonic transitions 17% chromatic transitions ans 17% melodic transitions

CHROMATIC TONALITY OVER THE  RHYTMIC AND HARMONIC PATTERN  OF 12-BARS BLUES.

In the blues (that may be somehow considered a type of rapsody concept collective composition and improvisation) the rhythm is  also standardized to e.g. 12-bars blues, which corelated the rhyrhmic measures with the sequence and duration of the 3 chords 1M, 4M 5M or  1M 2m 5M.

1M 1M 1M 1M 4M 4M 1M 1M 5M 5M 1M 1M    It is standard in tonal harmony that we may substitute a chord with another which is usually one of its minor relative chords. Thus here in this pattern we may substitute 1M  with 6m or 3m 4M with 6m or 2m  e.g. if we substitute 4M with 2m then  1M 1M 1M 1M 2m 2m 1M 1M 5M 5M 1M 1M

And we may subtitute 

5M with 3m or  7d

But more generally in chromatic tonality we may substitute one of the basic 3chords with some ofthe chords of the chromatic tonality thus we may substitute

1M  with 3M or 6M (besides 3m, 6m)

4M with 2M or 6 M (Besides 2m, 6m)

5M with 3M or 7M. (besides, 3m, 7d) 

e.g. 

1M	1M	1M	1M
2m	2M	6M	6M
3M	5M	1M	1M

394. THE SIMPLE OVERTONES FLUTE AND THE 7-NOTES SCALE DOUBLE HARMONIC MINOR AND 8-NOTES SCALE SHAMBA.

 Normally an overtone flute plays a major chord with 7nth with the overtones

The overtones 2-3-4-5-6-7-8 are as steps in diatonic scale the

1-5-1'-3'-5'-7'-1''

Now by closing half the only end hole of  the overtone flute we may get the 7 major chord 

7-4#-7'-2'#-4'#-7'b-7'' 

When closing fully the only one end hole we get the same notes of the initial major chord but with one octave lower. 

From a simple point of view the 1 major chord together with  and 7 major chord givea  hexatonic scale which is a subscale ofthe 7-notrs double harmonic minor scale! 

Furthermore as the root chord is with a 7nth 1-5-1'-3'-5'-7'-1'', actually a 7-note scale is defined

1-2#-3-4#-5-7b-7-1'  with interval structure in semitones  3-1-2-1-3-1-1, which is nothing else than the double harmonic minor ! (In this book, a scale is a mode with all  its cyclic permutations) .

But there is also another insteresting complication. 

For some reason which is that the overones in the various octaves do not fall exactly upon the notes of the piano or bach scale, instead of 3 note with a close hole weget a 2 note . This in total

we get an 8-notes scale  the 

1-2-2#-3-4#-5-7b-7-1'  which isnothong else than the INVERSE SAMBA SCALE (8 notes scale) .

In semitones the Shambach scale is 2 1 1 3 1 2 1 1

Sabach (Sambah): Greece

See post 227

In the post 375 we discuss how by opening 6+1 new holes we get all the 12-notes chromatic scale and the fully chromatic overtones flute ! 

393.INNOVATIONS ON TRADITIONAL INSTRUMENTS 13: THE GUITAR-CELLO ON THE BODY OF A CLASSICAL ACCOUSTIC GUITAR-BASS

392.INNOVATIONS ON TRADITIONAL INSTRUMENTS 12: NEW OVERONES TUNINGS FOR THE CHARANGO

391.INNOVATIONS ON TRADITIONAL INSTRUMENTS 11: MODES OF THE HARMONIC MINOR AND DOUBLE HARMONIC MINOR (MODES OF REBETICA) AS FLUTES

390.INNOVATIONS ON TRADITIONAL INSTRUMENTS 10: REDESIGHNING THE NEY AND THE CHROMATIC OVERTONE FLUTES

389.INNOVATIONS ON TRADITIONAL INSTRUMENTS 9: CHROMATIC CIRCULAR HARMONICAS AND 6-TONIC HARMONICAS