9L 12s

↖ 8L 11s	↑ 9L 11s	10L 11s ↗
← 8L 12s	9L 12s	10L 12s →
↙ 8L 13s	↓ 9L 13s	10L 13s ↘

┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐ │║│║│║││║│║│║││║│║│║│││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLssLsLsLssLsLsLss ssLsLsLssLsLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	2\21 to 1\9 (114.3 ¢ to 133.3 ¢)
Dark	2\9 to 5\21 (266.7 ¢ to 285.7 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	9L 3s
Sister	12L 9s
Daughters	21L 9s, 9L 21s
Neutralized	18L 3s
2-Flought	30L 12s, 9L 33s
Equal tunings
Equalized (L:s = 1:1)	2\21 (114.3 ¢)
Supersoft (L:s = 4:3)	7\72 (116.7 ¢)
Soft (L:s = 3:2)	5\51 (117.6 ¢)
Semisoft (L:s = 5:3)	8\81 (118.5 ¢)
Basic (L:s = 2:1)	3\30 (120.0 ¢)
Semihard (L:s = 5:2)	7\69 (121.7 ¢)
Hard (L:s = 3:1)	4\39 (123.1 ¢)
Superhard (L:s = 4:1)	5\48 (125.0 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)

9L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 12 small steps, with a period of 3 large steps and 4 small steps that repeats every 400.0 ¢, or 3 times every octave. 9L 12s is a grandchild scale of 3L 6s, expanding it by 12 tones. Generators that produce this scale range from 114.3 ¢ to 133.3 ¢, or from 266.7 ¢ to 285.7 ¢.

Modes

Modes of 9L 12s

UDP	Cyclic order	Step pattern
18|0(3)	1	LsLsLssLsLsLssLsLsLss
15|3(3)	3	LsLssLsLsLssLsLsLssLs
12|6(3)	5	LssLsLsLssLsLsLssLsLs
9|9(3)	7	sLsLsLssLsLsLssLsLsLs
6|12(3)	2	sLsLssLsLsLssLsLsLssL
3|15(3)	4	sLssLsLsLssLsLsLssLsL
0|18(3)	6	ssLsLsLssLsLsLssLsLsL