15L 3s

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

┌╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║│║║║║║│║║║║║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLsLLLLLsLLLLLs sLLLLLsLLLLLsLLLLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	1\18 to 1\15 (66.7 ¢ to 80.0 ¢)
Dark	4\15 to 5\18 (320.0 ¢ to 333.3 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	3L 12s
Sister	3L 15s
Daughters	18L 15s, 15L 18s
Neutralized	12L 6s
2-Flought	33L 3s, 15L 21s
Equal tunings
Equalized (L:s = 1:1)	1\18 (66.7 ¢)
Supersoft (L:s = 4:3)	4\69 (69.6 ¢)
Soft (L:s = 3:2)	3\51 (70.6 ¢)
Semisoft (L:s = 5:3)	5\84 (71.4 ¢)
Basic (L:s = 2:1)	2\33 (72.7 ¢)
Semihard (L:s = 5:2)	5\81 (74.1 ¢)
Hard (L:s = 3:1)	3\48 (75.0 ¢)
Superhard (L:s = 4:1)	4\63 (76.2 ¢)
Collapsed (L:s = 1:0)	1\15 (80.0 ¢)

15L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 3 small steps, with a period of 5 large steps and 1 small step that repeats every 400.0 ¢, or 3 times every octave. 15L 3s is a great-grandchild scale of 3L 6s, expanding it by 9 tones. Generators that produce this scale range from 66.7 ¢ to 80 ¢, or from 320 ¢ to 333.3 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 15L 3s

UDP	Cyclic order	Step pattern
15|0(3)	1	LLLLLsLLLLLsLLLLLs
12|3(3)	2	LLLLsLLLLLsLLLLLsL
9|6(3)	3	LLLsLLLLLsLLLLLsLL
6|9(3)	4	LLsLLLLLsLLLLLsLLL
3|12(3)	5	LsLLLLLsLLLLLsLLLL
0|15(3)	6	sLLLLLsLLLLLsLLLLL