2L 12s

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2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0 ¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3 ¢ to 600 ¢, or from 0 ¢ to 85.7 ¢.

↖ 1L 11s	↑ 2L 11s	3L 11s ↗
← 1L 12s	2L 12s	3L 12s →
↙ 1L 13s	↓ 2L 13s	3L 13s ↘

Scale structure
Step pattern	LssssssLssssss ssssssLssssssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	6\14 to 1\2 (514.3 ¢ to 600.0 ¢)
Dark	0\2 to 1\14 (0.0 ¢ to 85.7 ¢)
TAMNAMS information
Related to	2L 8s (jaric)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	2L 10s
Sister	12L 2s
Daughters	14L 2s, 2L 14s
Neutralized	4L 10s
2-Flought	16L 12s, 2L 26s
Equal tunings
Equalized (L:s = 1:1)	6\14 (514.3 ¢)
Supersoft (L:s = 4:3)	19\44 (518.2 ¢)
Soft (L:s = 3:2)	13\30 (520.0 ¢)
Semisoft (L:s = 5:3)	20\46 (521.7 ¢)
Basic (L:s = 2:1)	7\16 (525.0 ¢)
Semihard (L:s = 5:2)	15\34 (529.4 ¢)
Hard (L:s = 3:1)	8\18 (533.3 ¢)
Superhard (L:s = 4:1)	9\20 (540.0 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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Modes

Modes of 2L 12s

UDP	Cyclic order	Step pattern
12|0(2)	1	LssssssLssssss
10|2(2)	7	sLssssssLsssss
8|4(2)	6	ssLssssssLssss
6|6(2)	5	sssLssssssLsss
4|8(2)	4	ssssLssssssLss
2|10(2)	3	sssssLssssssLs
0|12(2)	2	ssssssLssssssL

Tuning spectrum

Bipelog range.

generator							L	s	L/s	gen (cents)	comment
0\2							1	0		0.000
						1\26	7	1	7.000	46.154
					1\24		6	1	6.000	50.000
						2\46	11	2	5.500	52.174
				1\22			5	1	5.000	54.545
						3\64	14	3	4.667	56.250
					2\42		9	2	4.500	57.143
						3\62	13	3	4.333	58.065
			1\20				4	1	4.000	60.000
						4\78	15	4	3.750	61.538
					3\58		11	3	3.667	62.069
						5\96	18	5	3.600	62.500
				2\38			7	2	3.500	63.158
						5\94	17	5	3.400	63.830
					3\56		10	3	3.333	64.286
						4\74	13	4	3.250	64.865
		1\18					3	1	3.000	66.667
						5\88	14	5	2.800	68.182
					4\70		11	4	2.750	68.571
				3\52			8	3	2.667	69.231
					5\86		13	5	2.600	69.767
			2\34				5	2	2.500	70.588
					5\84		12	5	2.400	71.429
				3\50			7	3	2.333	72.000
					4\66		9	4	2.250	72.727
						5\82	11	5	2.200	73.171
	1\16						2	1	2.000	75.000
						6\94	11	6	1.833	76.596
					5\78		9	5	1.800	76.923
				4\62			7	4	1.750	77.419	Semivalentine is around here
			3\46				5	3	1.667	78.261
				5\76			8	5	1.600	78.947
		2\30					3	2	1.500	80.000
				5\74			7	5	1.400	81.081	Bipelog is optimal around here
			3\44				4	3	1.333	81.818
				4\58			5	4	1.250	82.759
					5\72		6	5	1.200	83.333	Harry is around here
						6\86	7	6	1.167	83.721
1\14							1	1	1.000	85.714