3L 12s

↖ 2L 11s	↑ 3L 11s	4L 11s ↗
← 2L 12s	3L 12s	4L 12s →
↙ 2L 13s	↓ 3L 13s	4L 13s ↘

┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║││││║││││║│││││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLssssLssss ssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	4\15 to 1\3 (320.0 ¢ to 400.0 ¢)
Dark	0\3 to 1\15 (0.0 ¢ to 80.0 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	3L 9s
Sister	12L 3s
Daughters	15L 3s, 3L 15s
Neutralized	6L 9s
2-Flought	18L 12s, 3L 27s
Equal tunings
Equalized (L:s = 1:1)	4\15 (320.0 ¢)
Supersoft (L:s = 4:3)	13\48 (325.0 ¢)
Soft (L:s = 3:2)	9\33 (327.3 ¢)
Semisoft (L:s = 5:3)	14\51 (329.4 ¢)
Basic (L:s = 2:1)	5\18 (333.3 ¢)
Semihard (L:s = 5:2)	11\39 (338.5 ¢)
Hard (L:s = 3:1)	6\21 (342.9 ¢)
Superhard (L:s = 4:1)	7\24 (350.0 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 12 small steps, with a period of 1 large step and 4 small steps that repeats every 400.0 ¢, or 3 times every octave. 3L 12s is a grandchild scale of 3L 6s, expanding it by 6 tones. Generators that produce this scale range from 320 ¢ to 400 ¢, or from 0 ¢ to 80 ¢. It is the MOS of Inflated[15].

Modes

Modes of 3L 12s

UDP	Cyclic order	Step pattern
12|0(3)	1	LssssLssssLssss
9|3(3)	5	sLssssLssssLsss
6|6(3)	4	ssLssssLssssLss
3|9(3)	3	sssLssssLssssLs
0|12(3)	2	ssssLssssLssssL

Tuning spectrum

Generator					cents
1\12					100
				4\51	94.118
			3\39		92.308
				5\66	90.909
		2\27			88.889
				5\69	86.9565
			3\42		85.714
				4\57	84.2105
	1\15				80
				3\48	75
			2\33		72.727
				3\51	70.588
		1\18			66.667
				2\39	61.5385
			1\21		57.143
				1\24	50
0\3					0