13L 10s

13L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 10 small steps, repeating every octave. 13L 10s is a grandchild scale of 3L 7s, expanding it by 13 tones. Generators that produce this scale range from 365.2 ¢ to 369.2 ¢, or from 830.8 ¢ to 834.8 ¢. The 13L 10s MOS scale has its large steps split 2-1-1-2-1-1-2-1-1-1 between the small steps. It is the major quartertone scale of 3L 7s (sephiroid) and the quartertone scale of unidec temperament.

↖ 12L 9s	↑ 13L 9s	14L 9s ↗
← 12L 10s	13L 10s	14L 10s →
↙ 12L 11s	↓ 13L 11s	14L 11s ↘

Scale structure
Step pattern	LLsLsLsLLsLsLsLLsLsLsLs sLsLsLsLLsLsLsLLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\23 to 4\13 (365.2 ¢ to 369.2 ¢)
Dark	9\13 to 16\23 (830.8 ¢ to 834.8 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	10L 3s
Sister	10L 13s
Daughters	23L 13s, 13L 23s
Neutralized	3L 20s
2-Flought	36L 10s, 13L 33s
Equal tunings
Equalized (L:s = 1:1)	7\23 (365.2 ¢)
Supersoft (L:s = 4:3)	25\82 (365.9 ¢)
Soft (L:s = 3:2)	18\59 (366.1 ¢)
Semisoft (L:s = 5:3)	29\95 (366.3 ¢)
Basic (L:s = 2:1)	11\36 (366.7 ¢)
Semihard (L:s = 5:2)	26\85 (367.1 ¢)
Hard (L:s = 3:1)	15\49 (367.3 ¢)
Superhard (L:s = 4:1)	19\62 (367.7 ¢)
Collapsed (L:s = 1:0)	4\13 (369.2 ¢)
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Scale tree

4/13					369.231
				23/75	368
			19/62		367.742
				34/111	367.568
					367.415
		15/49			367.345
					367.195
				41/134	367.164
					367.1345
			26/85		367.059
				37/121	366.942
	11/36				366.667
				40/131	366.412
					366.392
			29/95		366.316
					366.256
				47/154	366.234
					366.196
		18/59			366.102
				43/141	365.957
			25/82		365.854
				32/105	365.714
7/23					365.217