12L 10s

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

┌╥╥┬╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║║│║│║│║│║││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLLsLsLsLsLs sLsLsLsLsLLsLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	9\22 to 5\12 (490.9 ¢ to 500.0 ¢)
Dark	1\12 to 2\22 (100.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to	2L 8s (jaric)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	10L 2s
Sister	10L 12s
Daughters	22L 12s, 12L 22s
Neutralized	2L 20s
2-Flought	34L 10s, 12L 32s
Equal tunings
Equalized (L:s = 1:1)	9\22 (490.9 ¢)
Supersoft (L:s = 4:3)	32\78 (492.3 ¢)
Soft (L:s = 3:2)	23\56 (492.9 ¢)
Semisoft (L:s = 5:3)	37\90 (493.3 ¢)
Basic (L:s = 2:1)	14\34 (494.1 ¢)
Semihard (L:s = 5:2)	33\80 (495.0 ¢)
Hard (L:s = 3:1)	19\46 (495.7 ¢)
Superhard (L:s = 4:1)	24\58 (496.6 ¢)
Collapsed (L:s = 1:0)	5\12 (500.0 ¢)

12L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 10 small steps, with a period of 6 large steps and 5 small steps that repeats every 600.0 ¢, or twice every octave. 12L 10s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 490.9 ¢ to 500 ¢, or from 100 ¢ to 109.1 ¢.

It is the quartertone scale of diaschismic temperament and its generator is a diatonic semitone no larger than 1\11 (109.091 ¢), making 5/4 one period minus two generators,

Modes

Modes of 12L 10s

UDP	Cyclic order	Step pattern
20|0(2)	1	LLsLsLsLsLsLLsLsLsLsLs
18|2(2)	10	LsLLsLsLsLsLsLLsLsLsLs
16|4(2)	8	LsLsLLsLsLsLsLsLLsLsLs
14|6(2)	6	LsLsLsLLsLsLsLsLsLLsLs
12|8(2)	4	LsLsLsLsLLsLsLsLsLsLLs
10|10(2)	2	LsLsLsLsLsLLsLsLsLsLsL
8|12(2)	11	sLLsLsLsLsLsLLsLsLsLsL
6|14(2)	9	sLsLLsLsLsLsLsLLsLsLsL
4|16(2)	7	sLsLsLLsLsLsLsLsLLsLsL
2|18(2)	5	sLsLsLsLLsLsLsLsLsLLsL
0|20(2)	3	sLsLsLsLsLLsLsLsLsLsLL

Scale tree

2/22					109.091
				9/100	108
			7/78		107.692
				12/134	107.463
		5/56			107.143
					106.9325
				13/146	106.849
					106.799
			8/90		106.667
					106.497
				11/124	106.452
	3/34				105.882
				10/114	105.263
			7/80		105
					104.829
				11/126	104.762
					104.693
		4/46			104.348
					104.193
				9/104	103.846
			5/58		103.448
				6/70	102.857
1/12					100