5L 12s

↖ 4L 11s	↑ 5L 11s	6L 11s ↗
← 4L 12s	5L 12s	6L 12s →
↙ 4L 13s	↓ 5L 13s	6L 13s ↘

┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║││││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLsssLssLsss sssLssLsssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	10\17 to 3\5 (705.9 ¢ to 720.0 ¢)
Dark	2\5 to 7\17 (480.0 ¢ to 494.1 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	5L 7s
Sister	12L 5s
Daughters	17L 5s, 5L 17s
Neutralized	10L 7s
2-Flought	22L 12s, 5L 29s
Equal tunings
Equalized (L:s = 1:1)	10\17 (705.9 ¢)
Supersoft (L:s = 4:3)	33\56 (707.1 ¢)
Soft (L:s = 3:2)	23\39 (707.7 ¢)
Semisoft (L:s = 5:3)	36\61 (708.2 ¢)
Basic (L:s = 2:1)	13\22 (709.1 ¢)
Semihard (L:s = 5:2)	29\49 (710.2 ¢)
Hard (L:s = 3:1)	16\27 (711.1 ¢)
Superhard (L:s = 4:1)	19\32 (712.5 ¢)
Collapsed (L:s = 1:0)	3\5 (720.0 ¢)

5L 12s, also called s-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 12 small steps, repeating every octave. 5L 12s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 705.9 ¢ to 720 ¢, or from 480 ¢ to 494.1 ¢. This scale is characterized by having a diesis (the difference between a large step and two small steps) that is larger than the chroma.

The supra/quasisuper version is proper, but the superpyth/ultrapyth version is improper (it does not become proper until you add 5 more notes to form the superpyth 22-note scale).

Modes

Modes of 5L 12s

UDP	Cyclic order	Step pattern
16|0	1	LssLssLsssLssLsss
15|1	11	LssLsssLssLssLsss
14|2	4	LssLsssLssLsssLss
13|3	14	LsssLssLssLsssLss
12|4	7	LsssLssLsssLssLss
11|5	17	sLssLssLsssLssLss
10|6	10	sLssLsssLssLssLss
9|7	3	sLssLsssLssLsssLs
8|8	13	sLsssLssLssLsssLs
7|9	6	sLsssLssLsssLssLs
6|10	16	ssLssLssLsssLssLs
5|11	9	ssLssLsssLssLssLs
4|12	2	ssLssLsssLssLsssL
3|13	12	ssLsssLssLssLsssL
2|14	5	ssLsssLssLsssLssL
1|15	15	sssLssLssLsssLssL
0|16	8	sssLssLsssLssLssL