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

Intervals

Intervals of 3L 12s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 80.0 ¢
	Augmented 1-mosstep	A1ms	L	80.0 ¢ to 400.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 160.0 ¢
	Major 2-mosstep	M2ms	L + s	160.0 ¢ to 400.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 240.0 ¢
	Major 3-mosstep	M3ms	L + 2s	240.0 ¢ to 400.0 ¢
4-mosstep	Diminished 4-mosstep	d4ms	4s	0.0 ¢ to 320.0 ¢
	Perfect 4-mosstep	P4ms	L + 3s	320.0 ¢ to 400.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	400.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	L + 5s	400.0 ¢ to 480.0 ¢
	Augmented 6-mosstep	A6ms	2L + 4s	480.0 ¢ to 800.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	400.0 ¢ to 560.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	560.0 ¢ to 800.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	400.0 ¢ to 640.0 ¢
	Major 8-mosstep	M8ms	2L + 6s	640.0 ¢ to 800.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	L + 8s	400.0 ¢ to 720.0 ¢
	Perfect 9-mosstep	P9ms	2L + 7s	720.0 ¢ to 800.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	2L + 8s	800.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	2L + 9s	800.0 ¢ to 880.0 ¢
	Augmented 11-mosstep	A11ms	3L + 8s	880.0 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	800.0 ¢ to 960.0 ¢
	Major 12-mosstep	M12ms	3L + 9s	960.0 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	800.0 ¢ to 1040.0 ¢
	Major 13-mosstep	M13ms	3L + 10s	1040.0 ¢ to 1200.0 ¢
14-mosstep	Diminished 14-mosstep	d14ms	2L + 12s	800.0 ¢ to 1120.0 ¢
	Perfect 14-mosstep	P14ms	3L + 11s	1120.0 ¢ to 1200.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	3L + 12s	1200.0 ¢

Scale tree

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