6L 12s

6L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 12 small steps, with a period of 1 large step and 2 small steps that repeats every 200.0 ¢, or 6 times every octave. 6L 12s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 133.3 ¢ to 200 ¢, or from 0 ¢ to 66.7 ¢.

↖ 5L 11s	↑ 6L 11s	7L 11s ↗
← 5L 12s	6L 12s	7L 12s →
↙ 5L 13s	↓ 6L 13s	7L 13s ↘

Scale structure
Step pattern	LssLssLssLssLssLss ssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\6 (200.0 ¢)
Generator size
Bright	2\18 to 1\6 (133.3 ¢ to 200.0 ¢)
Dark	0\6 to 1\18 (0.0 ¢ to 66.7 ¢)
TAMNAMS information
Related to	6L 6s
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	6L 6s
Sister	12L 6s
Daughters	18L 6s, 6L 18s
Neutralized	12L 6s
2-Flought	24L 12s, 6L 30s
Equal tunings
Equalized (L:s = 1:1)	2\18 (133.3 ¢)
Supersoft (L:s = 4:3)	7\60 (140.0 ¢)
Soft (L:s = 3:2)	5\42 (142.9 ¢)
Semisoft (L:s = 5:3)	8\66 (145.5 ¢)
Basic (L:s = 2:1)	3\24 (150.0 ¢)
Semihard (L:s = 5:2)	7\54 (155.6 ¢)
Hard (L:s = 3:1)	4\30 (160.0 ¢)
Superhard (L:s = 4:1)	5\36 (166.7 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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Modes

Modes of 6L 12s

UDP	Cyclic order	Step pattern
12|0(6)	1	LssLssLssLssLssLss
6|6(6)	3	sLssLssLssLssLssLs
0|12(6)	2	ssLssLssLssLssLssL

Intervals

Intervals of 6L 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 66.7 ¢
	Augmented 1-mosstep	A1ms	L	66.7 ¢ to 200.0 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 133.3 ¢
	Perfect 2-mosstep	P2ms	L + s	133.3 ¢ to 200.0 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	200.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	200.0 ¢ to 266.7 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	266.7 ¢ to 400.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	200.0 ¢ to 333.3 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	333.3 ¢ to 400.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	2L + 4s	400.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	400.0 ¢ to 466.7 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	466.7 ¢ to 600.0 ¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	400.0 ¢ to 533.3 ¢
	Perfect 8-mosstep	P8ms	3L + 5s	533.3 ¢ to 600.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	3L + 6s	600.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	600.0 ¢ to 666.7 ¢
	Augmented 10-mosstep	A10ms	4L + 6s	666.7 ¢ to 800.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	3L + 8s	600.0 ¢ to 733.3 ¢
	Perfect 11-mosstep	P11ms	4L + 7s	733.3 ¢ to 800.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	4L + 8s	800.0 ¢
13-mosstep	Perfect 13-mosstep	P13ms	4L + 9s	800.0 ¢ to 866.7 ¢
	Augmented 13-mosstep	A13ms	5L + 8s	866.7 ¢ to 1000.0 ¢
14-mosstep	Diminished 14-mosstep	d14ms	4L + 10s	800.0 ¢ to 933.3 ¢
	Perfect 14-mosstep	P14ms	5L + 9s	933.3 ¢ to 1000.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	5L + 10s	1000.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	5L + 11s	1000.0 ¢ to 1066.7 ¢
	Augmented 16-mosstep	A16ms	6L + 10s	1066.7 ¢ to 1200.0 ¢
17-mosstep	Diminished 17-mosstep	d17ms	5L + 12s	1000.0 ¢ to 1133.3 ¢
	Perfect 17-mosstep	P17ms	6L + 11s	1133.3 ¢ to 1200.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	6L + 12s	1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 6L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\18						133.333	66.667	1:1	1.000	Equalized 6L 12s
					11\96	137.500	62.500	6:5	1.200
				9\78		138.462	61.538	5:4	1.250
					16\138	139.130	60.870	9:7	1.286
			7\60			140.000	60.000	4:3	1.333	Supersoft 6L 12s
					19\162	140.741	59.259	11:8	1.375
				12\102		141.176	58.824	7:5	1.400
					17\144	141.667	58.333	10:7	1.429
		5\42				142.857	57.143	3:2	1.500	Soft 6L 12s
					18\150	144.000	56.000	11:7	1.571
				13\108		144.444	55.556	8:5	1.600
					21\174	144.828	55.172	13:8	1.625
			8\66			145.455	54.545	5:3	1.667	Semisoft 6L 12s
					19\156	146.154	53.846	12:7	1.714
				11\90		146.667	53.333	7:4	1.750
					14\114	147.368	52.632	9:5	1.800
	3\24					150.000	50.000	2:1	2.000	Basic 6L 12s Scales with tunings softer than this are proper
					13\102	152.941	47.059	9:4	2.250
				10\78		153.846	46.154	7:3	2.333
					17\132	154.545	45.455	12:5	2.400
			7\54			155.556	44.444	5:2	2.500	Semihard 6L 12s
					18\138	156.522	43.478	13:5	2.600
				11\84		157.143	42.857	8:3	2.667
					15\114	157.895	42.105	11:4	2.750
		4\30				160.000	40.000	3:1	3.000	Hard 6L 12s
					13\96	162.500	37.500	10:3	3.333
				9\66		163.636	36.364	7:2	3.500
					14\102	164.706	35.294	11:3	3.667
			5\36			166.667	33.333	4:1	4.000	Superhard 6L 12s
					11\78	169.231	30.769	9:2	4.500
				6\42		171.429	28.571	5:1	5.000
					7\48	175.000	25.000	6:1	6.000
1\6						200.000	0.000	1:0	→ ∞	Collapsed 6L 12s

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