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Showing posts with label 394. THE SIMPLE OVERTONES FLUTE AND THE 7-NOTES SCALE DOUBLE HARMONIC MINOR AND 8-NOTES SCALE SHAMBA.. Show all posts
Showing posts with label 394. THE SIMPLE OVERTONES FLUTE AND THE 7-NOTES SCALE DOUBLE HARMONIC MINOR AND 8-NOTES SCALE SHAMBA.. Show all posts

Wednesday, July 7, 2021

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 1Sabach (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 !