User:BudjarnLambeth/Augene18 subsets in 97ed12

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This is a list of augene[18] subset scales in 97ed12, though these scales can also be retuned to pure-octaves 27edo and still work.

97ed12 is 27edo but octave-compressed by about 2.5 cents, which improves its approximations of harmonics 3, 5, 7 and 13 at the expense of 2 and 11. It also improves some other important intervals like 11/6 (the neutral seventh).

97ed12 has an octave of size:

• 1197.451392 cents

Augene[18] scale (9 gens up, 6 down)

Scale pattern

2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2

Intervals

88.7
177.4
221.8
266.1
310.5
399.2
487.9
576.6
620.9
665.3
709.6
798.3
887.
975.7
1020.1
1064.4
1108.8
1197.5

Subsets of the above scale

Moonbeam

Approximated from 16afdo.

Intervals

221.8
310.5
709.6
1108.8
1197.5

Augene[15] neutral 7th mode

Scale pattern

2 2 2 1 2 2 2 2 1 2 2 2 2 1 2

Intervals

88.7
177.4
266.1
310.5
399.2
487.9
576.6
665.3
709.6
798.3
887.0
975.7
1064.4
1108.8
1197.5

(Sub-subsets)

~6afdo

266.1
487.9
709.6
887.0
1064.4
1197.5

~5afdo (rotated)

266.1
487.9
709.6
887.0
1197.5

Otonal Dorian hexatonic

266.1
487.9
709.6
887.0
975.7
1197.5

Otonal Mixolydian hexatonic

399.2
487.9
709.6
887.0
975.7
1197.5

Otonal Mixolydian pentatonic

398.7
487.3
708.8
974.7
1197.5

6/5-4/3-3/2-8/5-2/1

310.5
487.9
709.6
798.3
1197.5