12L 6s

12L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 6 small steps, with a period of 2 large steps and 1 small step that repeats every 200.0 ¢, or 6 times every octave. 12L 6s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 66.7 ¢ to 100 ¢, or from 100 ¢ to 133.3 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

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

Scale structure
Step pattern	LLsLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	1\6 (200.0 ¢)
Generator size
Bright	1\18 to 1\12 (66.7 ¢ to 100.0 ¢)
Dark	1\12 to 2\18 (100.0 ¢ to 133.3 ¢)
TAMNAMS information
Related to	6L 6s
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	6L 6s
Sister	6L 12s
Daughters	18L 12s, 12L 18s
Neutralized	6L 12s
2-Flought	30L 6s, 12L 24s
Equal tunings
Equalized (L:s = 1:1)	1\18 (66.7 ¢)
Supersoft (L:s = 4:3)	4\66 (72.7 ¢)
Soft (L:s = 3:2)	3\48 (75.0 ¢)
Semisoft (L:s = 5:3)	5\78 (76.9 ¢)
Basic (L:s = 2:1)	2\30 (80.0 ¢)
Semihard (L:s = 5:2)	5\72 (83.3 ¢)
Hard (L:s = 3:1)	3\42 (85.7 ¢)
Superhard (L:s = 4:1)	4\54 (88.9 ¢)
Collapsed (L:s = 1:0)	1\12 (100.0 ¢)
View • Talk • Edit

Modes

Modes of 12L 6s

UDP	Cyclic order	Step pattern
12|0(6)	1	LLsLLsLLsLLsLLsLLs
6|6(6)	2	LsLLsLLsLLsLLsLLsL
0|12(6)	3	sLLsLLsLLsLLsLLsLL

Intervals

Intervals of 12L 6s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 66.7 ¢
	Perfect 1-mosstep	P1ms	L	66.7 ¢ to 100.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	100.0 ¢ to 133.3 ¢
	Augmented 2-mosstep	A2ms	2L	133.3 ¢ to 200.0 ¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	200.0 ¢
4-mosstep	Diminished 4-mosstep	d4ms	2L + 2s	200.0 ¢ to 266.7 ¢
	Perfect 4-mosstep	P4ms	3L + s	266.7 ¢ to 300.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	300.0 ¢ to 333.3 ¢
	Augmented 5-mosstep	A5ms	4L + s	333.3 ¢ to 400.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	4L + 2s	400.0 ¢
7-mosstep	Diminished 7-mosstep	d7ms	4L + 3s	400.0 ¢ to 466.7 ¢
	Perfect 7-mosstep	P7ms	5L + 2s	466.7 ¢ to 500.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	5L + 3s	500.0 ¢ to 533.3 ¢
	Augmented 8-mosstep	A8ms	6L + 2s	533.3 ¢ to 600.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	6L + 3s	600.0 ¢
10-mosstep	Diminished 10-mosstep	d10ms	6L + 4s	600.0 ¢ to 666.7 ¢
	Perfect 10-mosstep	P10ms	7L + 3s	666.7 ¢ to 700.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	7L + 4s	700.0 ¢ to 733.3 ¢
	Augmented 11-mosstep	A11ms	8L + 3s	733.3 ¢ to 800.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	8L + 4s	800.0 ¢
13-mosstep	Diminished 13-mosstep	d13ms	8L + 5s	800.0 ¢ to 866.7 ¢
	Perfect 13-mosstep	P13ms	9L + 4s	866.7 ¢ to 900.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	9L + 5s	900.0 ¢ to 933.3 ¢
	Augmented 14-mosstep	A14ms	10L + 4s	933.3 ¢ to 1000.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	10L + 5s	1000.0 ¢
16-mosstep	Diminished 16-mosstep	d16ms	10L + 6s	1000.0 ¢ to 1066.7 ¢
	Perfect 16-mosstep	P16ms	11L + 5s	1066.7 ¢ to 1100.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	11L + 6s	1100.0 ¢ to 1133.3 ¢
	Augmented 17-mosstep	A17ms	12L + 5s	1133.3 ¢ to 1200.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	12L + 6s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 12L 6s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\18						66.667	133.333	1:1	1.000	Equalized 12L 6s
					6\102	70.588	129.412	6:5	1.200
				5\84		71.429	128.571	5:4	1.250
					9\150	72.000	128.000	9:7	1.286
			4\66			72.727	127.273	4:3	1.333	Supersoft 12L 6s
					11\180	73.333	126.667	11:8	1.375
				7\114		73.684	126.316	7:5	1.400
					10\162	74.074	125.926	10:7	1.429
		3\48				75.000	125.000	3:2	1.500	Soft 12L 6s
					11\174	75.862	124.138	11:7	1.571
				8\126		76.190	123.810	8:5	1.600
					13\204	76.471	123.529	13:8	1.625
			5\78			76.923	123.077	5:3	1.667	Semisoft 12L 6s
					12\186	77.419	122.581	12:7	1.714
				7\108		77.778	122.222	7:4	1.750
					9\138	78.261	121.739	9:5	1.800
	2\30					80.000	120.000	2:1	2.000	Basic 12L 6s
					9\132	81.818	118.182	9:4	2.250
				7\102		82.353	117.647	7:3	2.333
					12\174	82.759	117.241	12:5	2.400
			5\72			83.333	116.667	5:2	2.500	Semihard 12L 6s
					13\186	83.871	116.129	13:5	2.600
				8\114		84.211	115.789	8:3	2.667
					11\156	84.615	115.385	11:4	2.750
		3\42				85.714	114.286	3:1	3.000	Hard 12L 6s
					10\138	86.957	113.043	10:3	3.333
				7\96		87.500	112.500	7:2	3.500
					11\150	88.000	112.000	11:3	3.667
			4\54			88.889	111.111	4:1	4.000	Superhard 12L 6s
					9\120	90.000	110.000	9:2	4.500
				5\66		90.909	109.091	5:1	5.000
					6\78	92.308	107.692	6:1	6.000
1\12						100.000	100.000	1:0	→ ∞	Collapsed 12L 6s

This page is a stub. You can help the Xenharmonic Wiki by expanding it.