113. 2-OCTAVES HARMONIC SCALES (NON-CHROMATIC) WITH MANY CHORDS

2-OCTAVES HARMONIC SCALES (NON-CHROMATIC) WITH MANY CHORDS

Such scales are based on harmonic intervals like those in a chord and its inversions that is 3 or 4 semitones, 4 or 5 semitones  7 semitones etc.

When going up and down or creating order-topological shapes of the Dolphin Language (see post 101 ) in such scales chords are shaped in a natural and direct way by every 3-successive notes . The types of chords are mostly major, minor, diminished, augmented etc.

The melodic corridor as described in post 94 and the geometry of pan-flutes like the Samponas or modern percussion instruments like hand-pans, hung etc  is based on this idea

When such scales are reduced to a single octave may give familiar scales like diatonic , melodic minor  etc.


1) The -4-3-4-3-3-4-3-  which is the diatonic  scale when reduced to a single octave 
and other are the next


2) 3-3-4-4-3-3-4=24 This scale has obviously successive diminished minor , major and augmented chords. It is the melodic minor scale when reduced to a single octave 


3) 3-3-3-4-4-4-3=24

4) 3-5-3-5-3-5=24

5) 3-3-3-5-5-5=24

6) 3-4-3-4-7-7=24

7) 3-7-3-7-4=24

8) 3-3-7-7-4=24

9) 4-5-4-5-4-2=24

10) 4-5-4-5-4-2=24

11) 4-4-5-5-4-2=24

12) 4-4-4-5-5-5-2=24

13) 4-4-4-5-2-5=24

14) 5-7-5-7=24

15) 3-4-5-3-4-5=24

16) 3-4-3-4-5-5=24

17) 3-3-5-4-4=24

18) 4-5-7-4-4=24

19) 3-5-7-3-4-7=24

etc

Also in more than 2 octaves

3-octaves

5-5-5-5-5-5-6-=36

and 4-octaves

7-7-7-7-7-7-6-=48

The last one is close to how one can derive a diatonic scale by exact 5ths (Here the 5ths of 7-semitones are not exact, so the Pythagorean comma becomes a whole semitone)

etc.



(This post has not been completely yet)