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].

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 3L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\15						320.000	80.000	1:1	1.000	Equalized 3L 12s
					21\78	323.077	76.923	6:5	1.200
				17\63		323.810	76.190	5:4	1.250
					30\111	324.324	75.676	9:7	1.286
			13\48			325.000	75.000	4:3	1.333	Supersoft 3L 12s
					35\129	325.581	74.419	11:8	1.375
				22\81		325.926	74.074	7:5	1.400
					31\114	326.316	73.684	10:7	1.429
		9\33				327.273	72.727	3:2	1.500	Soft 3L 12s
					32\117	328.205	71.795	11:7	1.571
				23\84		328.571	71.429	8:5	1.600
					37\135	328.889	71.111	13:8	1.625
			14\51			329.412	70.588	5:3	1.667	Semisoft 3L 12s
					33\120	330.000	70.000	12:7	1.714
				19\69		330.435	69.565	7:4	1.750
					24\87	331.034	68.966	9:5	1.800
	5\18					333.333	66.667	2:1	2.000	Basic 3L 12s Scales with tunings softer than this are proper
					21\75	336.000	64.000	9:4	2.250
				16\57		336.842	63.158	7:3	2.333
					27\96	337.500	62.500	12:5	2.400
			11\39			338.462	61.538	5:2	2.500	Semihard 3L 12s
					28\99	339.394	60.606	13:5	2.600
				17\60		340.000	60.000	8:3	2.667
					23\81	340.741	59.259	11:4	2.750
		6\21				342.857	57.143	3:1	3.000	Hard 3L 12s
					19\66	345.455	54.545	10:3	3.333
				13\45		346.667	53.333	7:2	3.500
					20\69	347.826	52.174	11:3	3.667
			7\24			350.000	50.000	4:1	4.000	Superhard 3L 12s
					15\51	352.941	47.059	9:2	4.500
				8\27		355.556	44.444	5:1	5.000
					9\30	360.000	40.000	6:1	6.000
1\3						400.000	0.000	1:0	→ ∞	Collapsed 3L 12s

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