Various scales and chords generation

[oggy22]

Name	min interval	max interval	tones
Major scale, minor scale, melodic minor scale	1	2	7
Harmonic minor	1	3	7
Whole scale	2	2	6
Pentatonic	2	3	5
Major7 (CEGBb)	2	4	4
Minor7 (CEbGBb)	2	4	4
Diminished (CEbGbA)	3	3	4
Augmented	4	4	3
CDEG	2	5	4

Given min&max interval and tones generate all possibilities for scales and chords.

[oggy22]

1,2,7 - Major/minor scale, minor melodic
1,2,8 - C,C#,D#,E,F#,G,A,Bb,C - the only 8tone scale
1,3,6 - 2 augmented triads, ?, ?
1,3,7 - harmonic minor
1,3,8
2,2,6 - whole tone scale
2,3,5 - pentatonic, GBDFA
2,4,5 - whole tone scale minus tone
2,5,3 - Sus CDG
2,5,4 - Major+second CDEG, Minor+second CDEbG
2,6,4 - FGAB
2,4,4 - Augmented triad plus tone CDEG#, major7
3,3,4 - diminished
3,6,3 - diminished
4,4,3 - Augmented CEG#