3L 21s

↖ 2L 20s	↑ 3L 20s	4L 20s ↗
← 2L 21s	3L 21s	4L 21s →
↙ 2L 22s	↓ 3L 22s	4L 22s ↘

┌╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┐ │║│││││││║│││││││║││││││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssssssLsssssssLsssssss sssssssLsssssssLsssssssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	7\24 to 1\3 (350.0 ¢ to 400.0 ¢)
Dark	0\3 to 1\24 (0.0 ¢ to 50.0 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	6:1 to 1:0
Related MOS scales
Parent	3L 18s
Sister	21L 3s
Daughters	24L 3s, 3L 24s
Neutralized	6L 18s
2-Flought	27L 21s, 3L 45s
Equal tunings
Equalized (L:s = 1:1)	7\24 (350.0 ¢)
Supersoft (L:s = 4:3)	22\75 (352.0 ¢)
Soft (L:s = 3:2)	15\51 (352.9 ¢)
Semisoft (L:s = 5:3)	23\78 (353.8 ¢)
Basic (L:s = 2:1)	8\27 (355.6 ¢)
Semihard (L:s = 5:2)	17\57 (357.9 ¢)
Hard (L:s = 3:1)	9\30 (360.0 ¢)
Superhard (L:s = 4:1)	10\33 (363.6 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 21 small steps, with a period of 1 large step and 7 small steps that repeats every 400.0 ¢, or 3 times every octave. 3L 21s is related to 3L 6s, expanding it by 15 tones. Generators that produce this scale range from 350 ¢ to 400 ¢, or from 0 ¢ to 50 ¢.

Modes

Modes of 3L 21s

UDP	Cyclic order	Step pattern
21|0(3)	1	LsssssssLsssssssLsssssss
18|3(3)	8	sLsssssssLsssssssLssssss
15|6(3)	7	ssLsssssssLsssssssLsssss
12|9(3)	6	sssLsssssssLsssssssLssss
9|12(3)	5	ssssLsssssssLsssssssLsss
6|15(3)	4	sssssLsssssssLsssssssLss
3|18(3)	3	ssssssLsssssssLsssssssLs
0|21(3)	2	sssssssLsssssssLsssssssL