3L 15s

↖ 2L 14s	↑ 3L 14s	4L 14s ↗
← 2L 15s	3L 15s	4L 15s →
↙ 2L 16s	↓ 3L 16s	4L 16s ↘

┌╥┬┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬┐ │║│││││║│││││║││││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssssLsssssLsssss sssssLsssssLsssssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	5\18 to 1\3 (333.3 ¢ to 400.0 ¢)
Dark	0\3 to 1\18 (0.0 ¢ to 66.7 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	3L 12s
Sister	15L 3s
Daughters	18L 3s, 3L 18s
Neutralized	6L 12s
2-Flought	21L 15s, 3L 33s
Equal tunings
Equalized (L:s = 1:1)	5\18 (333.3 ¢)
Supersoft (L:s = 4:3)	16\57 (336.8 ¢)
Soft (L:s = 3:2)	11\39 (338.5 ¢)
Semisoft (L:s = 5:3)	17\60 (340.0 ¢)
Basic (L:s = 2:1)	6\21 (342.9 ¢)
Semihard (L:s = 5:2)	13\45 (346.7 ¢)
Hard (L:s = 3:1)	7\24 (350.0 ¢)
Superhard (L:s = 4:1)	8\27 (355.6 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 15 small steps, with a period of 1 large step and 5 small steps that repeats every 400.0 ¢, or 3 times every octave. 3L 15s is a great-grandchild scale of 3L 6s, expanding it by 9 tones. Generators that produce this scale range from 333.3 ¢ to 400 ¢, or from 0 ¢ to 66.7 ¢.

Modes

Modes of 3L 15s

UDP	Cyclic order	Step pattern
15|0(3)	1	LsssssLsssssLsssss
12|3(3)	6	sLsssssLsssssLssss
9|6(3)	5	ssLsssssLsssssLsss
6|9(3)	4	sssLsssssLsssssLss
3|12(3)	3	ssssLsssssLsssssLs
0|15(3)	2	sssssLsssssLsssssL