11L 11s

11L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 11 small steps, with a period of 1 large step and 1 small step that repeats every 109.1 ¢, or 11 times every octave. Generators that produce this scale range from 54.5 ¢ to 109.1 ¢, or from 0 ¢ to 54.5 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

↖ 10L 10s	↑ 11L 10s	12L 10s ↗
← 10L 11s	11L 11s	12L 11s →
↙ 10L 12s	↓ 11L 12s	12L 12s ↘

Scale structure
Step pattern	LsLsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\11 (109.1 ¢)
Generator size
Bright	1\22 to 1\11 (54.5 ¢ to 109.1 ¢)
Dark	0\11 to 1\22 (0.0 ¢ to 54.5 ¢)
Related MOS scales
Parent	none
Sister	11L 11s (self)
Daughters	22L 11s, 11L 22s
Neutralized	22edo
2-Flought	33L 11s, 11L 33s
Equal tunings
Equalized (L:s = 1:1)	1\22 (54.5 ¢)
Supersoft (L:s = 4:3)	4\77 (62.3 ¢)
Soft (L:s = 3:2)	3\55 (65.5 ¢)
Semisoft (L:s = 5:3)	5\88 (68.2 ¢)
Basic (L:s = 2:1)	2\33 (72.7 ¢)
Semihard (L:s = 5:2)	5\77 (77.9 ¢)
Hard (L:s = 3:1)	3\44 (81.8 ¢)
Superhard (L:s = 4:1)	4\55 (87.3 ¢)
Collapsed (L:s = 1:0)	1\11 (109.1 ¢)
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Modes

Modes of 11L 11s

UDP	Cyclic order	Step pattern
11|0(11)	1	LsLsLsLsLsLsLsLsLsLsLs
0|11(11)	2	sLsLsLsLsLsLsLsLsLsLsL

Intervals

Intervals of 11L 11s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 54.5 ¢
	Major 1-mosstep	M1ms	L	54.5 ¢ to 109.1 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	109.1 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	109.1 ¢ to 163.6 ¢
	Major 3-mosstep	M3ms	2L + s	163.6 ¢ to 218.2 ¢
4-mosstep	Perfect 4-mosstep	P4ms	2L + 2s	218.2 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	218.2 ¢ to 272.7 ¢
	Major 5-mosstep	M5ms	3L + 2s	272.7 ¢ to 327.3 ¢
6-mosstep	Perfect 6-mosstep	P6ms	3L + 3s	327.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	327.3 ¢ to 381.8 ¢
	Major 7-mosstep	M7ms	4L + 3s	381.8 ¢ to 436.4 ¢
8-mosstep	Perfect 8-mosstep	P8ms	4L + 4s	436.4 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	436.4 ¢ to 490.9 ¢
	Major 9-mosstep	M9ms	5L + 4s	490.9 ¢ to 545.5 ¢
10-mosstep	Perfect 10-mosstep	P10ms	5L + 5s	545.5 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	545.5 ¢ to 600.0 ¢
	Major 11-mosstep	M11ms	6L + 5s	600.0 ¢ to 654.5 ¢
12-mosstep	Perfect 12-mosstep	P12ms	6L + 6s	654.5 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	654.5 ¢ to 709.1 ¢
	Major 13-mosstep	M13ms	7L + 6s	709.1 ¢ to 763.6 ¢
14-mosstep	Perfect 14-mosstep	P14ms	7L + 7s	763.6 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	763.6 ¢ to 818.2 ¢
	Major 15-mosstep	M15ms	8L + 7s	818.2 ¢ to 872.7 ¢
16-mosstep	Perfect 16-mosstep	P16ms	8L + 8s	872.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	872.7 ¢ to 927.3 ¢
	Major 17-mosstep	M17ms	9L + 8s	927.3 ¢ to 981.8 ¢
18-mosstep	Perfect 18-mosstep	P18ms	9L + 9s	981.8 ¢
19-mosstep	Minor 19-mosstep	m19ms	9L + 10s	981.8 ¢ to 1036.4 ¢
	Major 19-mosstep	M19ms	10L + 9s	1036.4 ¢ to 1090.9 ¢
20-mosstep	Perfect 20-mosstep	P20ms	10L + 10s	1090.9 ¢
21-mosstep	Minor 21-mosstep	m21ms	10L + 11s	1090.9 ¢ to 1145.5 ¢
	Major 21-mosstep	M21ms	11L + 10s	1145.5 ¢ to 1200.0 ¢
22-mosstep	Perfect 22-mosstep	P22ms	11L + 11s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 11L 11s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\22						54.545	54.545	1:1	1.000	Equalized 11L 11s
					6\121	59.504	49.587	6:5	1.200
				5\99		60.606	48.485	5:4	1.250
					9\176	61.364	47.727	9:7	1.286
			4\77			62.338	46.753	4:3	1.333	Supersoft 11L 11s
					11\209	63.158	45.933	11:8	1.375
				7\132		63.636	45.455	7:5	1.400
					10\187	64.171	44.920	10:7	1.429
		3\55				65.455	43.636	3:2	1.500	Soft 11L 11s
					11\198	66.667	42.424	11:7	1.571
				8\143		67.133	41.958	8:5	1.600
					13\231	67.532	41.558	13:8	1.625
			5\88			68.182	40.909	5:3	1.667	Semisoft 11L 11s
					12\209	68.900	40.191	12:7	1.714
				7\121		69.421	39.669	7:4	1.750
					9\154	70.130	38.961	9:5	1.800
	2\33					72.727	36.364	2:1	2.000	Basic 11L 11s
					9\143	75.524	33.566	9:4	2.250
				7\110		76.364	32.727	7:3	2.333
					12\187	77.005	32.086	12:5	2.400
			5\77			77.922	31.169	5:2	2.500	Semihard 11L 11s
					13\198	78.788	30.303	13:5	2.600
				8\121		79.339	29.752	8:3	2.667
					11\165	80.000	29.091	11:4	2.750
		3\44				81.818	27.273	3:1	3.000	Hard 11L 11s
					10\143	83.916	25.175	10:3	3.333
				7\99		84.848	24.242	7:2	3.500
					11\154	85.714	23.377	11:3	3.667
			4\55			87.273	21.818	4:1	4.000	Superhard 11L 11s
					9\121	89.256	19.835	9:2	4.500
				5\66		90.909	18.182	5:1	5.000
					6\77	93.506	15.584	6:1	6.000
1\11						109.091	0.000	1:0	→ ∞	Collapsed 11L 11s

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