12L 4s

↖ 11L 3s	↑ 12L 3s	13L 3s ↗
← 11L 4s	12L 4s	13L 4s →
↙ 11L 5s	↓ 12L 5s	13L 5s ↘

┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐ │║║║│║║║│║║║│║║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLLsLLLs sLLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	1\16 to 1\12 (75.0 ¢ to 100.0 ¢)
Dark	2\12 to 3\16 (200.0 ¢ to 225.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	4L 8s
Sister	4L 12s
Daughters	16L 12s, 12L 16s
Neutralized	8L 8s
2-Flought	28L 4s, 12L 20s
Equal tunings
Equalized (L:s = 1:1)	1\16 (75.0 ¢)
Supersoft (L:s = 4:3)	4\60 (80.0 ¢)
Soft (L:s = 3:2)	3\44 (81.8 ¢)
Semisoft (L:s = 5:3)	5\72 (83.3 ¢)
Basic (L:s = 2:1)	2\28 (85.7 ¢)
Semihard (L:s = 5:2)	5\68 (88.2 ¢)
Hard (L:s = 3:1)	3\40 (90.0 ¢)
Superhard (L:s = 4:1)	4\52 (92.3 ¢)
Collapsed (L:s = 1:0)	1\12 (100.0 ¢)

12L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 4 small steps, with a period of 3 large steps and 1 small step that repeats every 300.0 ¢, or 4 times every octave. 12L 4s is a grandchild scale of 4L 4s, expanding it by 8 tones. Generators that produce this scale range from 75 ¢ to 100 ¢, or from 200 ¢ to 225 ¢. 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 12L 4s

UDP	Cyclic order	Step pattern
12|0(4)	1	LLLsLLLsLLLsLLLs
8|4(4)	2	LLsLLLsLLLsLLLsL
4|8(4)	3	LsLLLsLLLsLLLsLL
0|12(4)	4	sLLLsLLLsLLLsLLL