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Scales and modes within 22 eq

🔗Chris Miller <vogonpoet@xxxxxxxxxxx.xxxx>

8/25/1999 1:44:54 AM

Does someone have a list of scales and modes found within 22eq?

--
Christopher Miller
vogonpoet@mailandnews.com
--

🔗manuel.op.de.coul@xxx.xxx

8/25/1999 2:16:02 AM

Most or all of these are by Paul Erlich:

2 2 3 2 2 2 3 2 2 2 Standard Pentachordal Major
2 2 3 2 2 2 2 3 2 2 Static Symmetrical Major
2 3 2 2 2 2 2 3 2 2 Alternate Pentachordal Major
2 3 2 2 2 2 3 2 2 2 Dynamic Symmetrical Major
2 2 2 3 2 2 2 2 2 3 Standard Pentachordal Minor
2 2 2 3 2 2 2 2 3 2 Static Symmetrical Minor
2 2 2 2 3 2 2 2 3 2 Alternate Pentachordal Minor
2 2 2 2 3 2 2 2 2 3 Dynamic Symmetrical Minor
4 1 4 4 1 4 4 Sub-minor
4 4 1 4 4 4 1 Super-major
4 3 3 3 3 3 3 Major quasi-equal Heptatonic
3 3 3 4 3 3 3 Minor quasi-equal Heptatonic
4 3 3 4 4 4 Harmonic whole-tone
4 3 2 4 3 4 2 Twenty-two tone Major
4 2 3 4 2 4 3 Twenty-two tone Minor

Manuel Op de Coul coul@ezh.nl

🔗Paul H. Erlich <PErlich@xxxxxxxxxxxxx.xxxx>

8/25/1999 1:31:50 PM

>Most or all of these are by Paul Erlich:

>2 2 3 2 2 2 3 2 2 2 Standard Pentachordal Major
>2 2 3 2 2 2 2 3 2 2 Static Symmetrical Major
>2 3 2 2 2 2 2 3 2 2 Alternate Pentachordal Major
>2 3 2 2 2 2 3 2 2 2 Dynamic Symmetrical Major
>2 2 2 3 2 2 2 2 2 3 Standard Pentachordal Minor
>2 2 2 3 2 2 2 2 3 2 Static Symmetrical Minor
>2 2 2 2 3 2 2 2 3 2 Alternate Pentachordal Minor
>2 2 2 2 3 2 2 2 2 3 Dynamic Symmetrical Minor

Those are decatonic modes, from my paper,
http://www-math.cudenver.edu/~jstarret/22ALL.pdf

>4 1 4 4 1 4 4 Sub-minor
>4 4 1 4 4 4 1 Super-major
>4 3 3 3 3 3 3 Major quasi-equal Heptatonic
>3 3 3 4 3 3 3 Minor quasi-equal Heptatonic
>4 3 3 4 4 4 Harmonic whole-tone
>4 3 2 4 3 4 2 Twenty-two tone Major
>4 2 3 4 2 4 3 Twenty-two tone Minor

I would also add

6 3 1 3 6 3 "blues"
5 4 4 5 4 septimal minor pentatonic

also Greek chromatic and enharmonic modes are pretty straightforward

Good for melody but not for harmony are:

2 2 2 2 2 2 2 2 2 2 2 11-equal
2 3 2 3 2 3 2 3 2 Steve Rezsutek's percussion scale

A great 12-tone subset for a standard keyboard is (starting on C)

2 2 2 2 1 2 2 2 2 2 2 2 1 (a mode of the hexachordal dodecatonic scale)