11L 6s

↖ 10L 5s	↑ 11L 5s	12L 5s ↗
← 10L 6s	11L 6s	12L 6s →
↙ 10L 7s	↓ 11L 7s	12L 7s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║║│║║│║││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLLsLLsLs sLsLLsLLsLLsLLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	3\17 to 2\11 (211.8¢ to 218.2¢)
Dark	9\11 to 14\17 (981.8¢ to 988.2¢)
TAMNAMS information
Descends from	5L 1s
Ancestor's step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	6L 5s
Sister	6L 11s
Daughters	17L 11s, 11L 17s
Neutralized	5L 12s
2-Flought	28L 6s, 11L 23s
Equal tunings
Equalized (L:s = 1:1)	3\17 (211.8¢)
Supersoft (L:s = 4:3)	11\62 (212.9¢)
Soft (L:s = 3:2)	8\45 (213.3¢)
Semisoft (L:s = 5:3)	13\73 (213.7¢)
Basic (L:s = 2:1)	5\28 (214.3¢)
Semihard (L:s = 5:2)	12\67 (214.9¢)
Hard (L:s = 3:1)	7\39 (215.4¢)
Superhard (L:s = 4:1)	9\50 (216.0¢)
Collapsed (L:s = 1:0)	2\11 (218.2¢)

11L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 6 small steps, repeating every octave. 11L 6s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 211.8¢ to 218.2¢, or from 981.8¢ to 988.2¢.

Modes

Modes of 11L 6s

UDP	Cyclic order	Step pattern
16|0	1	LLsLLsLLsLLsLLsLs
15|1	4	LLsLLsLLsLLsLsLLs
14|2	7	LLsLLsLLsLsLLsLLs
13|3	10	LLsLLsLsLLsLLsLLs
12|4	13	LLsLsLLsLLsLLsLLs
11|5	16	LsLLsLLsLLsLLsLLs
10|6	2	LsLLsLLsLLsLLsLsL
9|7	5	LsLLsLLsLLsLsLLsL
8|8	8	LsLLsLLsLsLLsLLsL
7|9	11	LsLLsLsLLsLLsLLsL
6|10	14	LsLsLLsLLsLLsLLsL
5|11	17	sLLsLLsLLsLLsLLsL
4|12	3	sLLsLLsLLsLLsLsLL
3|13	6	sLLsLLsLLsLsLLsLL
2|14	9	sLLsLLsLsLLsLLsLL
1|15	12	sLLsLsLLsLLsLLsLL
0|16	15	sLsLLsLLsLLsLLsLL

Intervals

Intervals of 11L 6s

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 70.6¢
	Major 1-mosstep	M1ms	L	70.6¢ to 109.1¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1¢ to 141.2¢
	Major 2-mosstep	M2ms	2L	141.2¢ to 218.2¢
3-mosstep	Diminished 3-mosstep	d3ms	L + 2s	109.1¢ to 211.8¢
	Perfect 3-mosstep	P3ms	2L + s	211.8¢ to 218.2¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2¢ to 282.4¢
	Major 4-mosstep	M4ms	3L + s	282.4¢ to 327.3¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	327.3¢ to 352.9¢
	Major 5-mosstep	M5ms	4L + s	352.9¢ to 436.4¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	327.3¢ to 423.5¢
	Major 6-mosstep	M6ms	4L + 2s	423.5¢ to 436.4¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	436.4¢ to 494.1¢
	Major 7-mosstep	M7ms	5L + 2s	494.1¢ to 545.5¢
8-mosstep	Minor 8-mosstep	m8ms	5L + 3s	545.5¢ to 564.7¢
	Major 8-mosstep	M8ms	6L + 2s	564.7¢ to 654.5¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	545.5¢ to 635.3¢
	Major 9-mosstep	M9ms	6L + 3s	635.3¢ to 654.5¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	654.5¢ to 705.9¢
	Major 10-mosstep	M10ms	7L + 3s	705.9¢ to 763.6¢
11-mosstep	Minor 11-mosstep	m11ms	7L + 4s	763.6¢ to 776.5¢
	Major 11-mosstep	M11ms	8L + 3s	776.5¢ to 872.7¢
12-mosstep	Minor 12-mosstep	m12ms	7L + 5s	763.6¢ to 847.1¢
	Major 12-mosstep	M12ms	8L + 4s	847.1¢ to 872.7¢
13-mosstep	Minor 13-mosstep	m13ms	8L + 5s	872.7¢ to 917.6¢
	Major 13-mosstep	M13ms	9L + 4s	917.6¢ to 981.8¢
14-mosstep	Perfect 14-mosstep	P14ms	9L + 5s	981.8¢ to 988.2¢
	Augmented 14-mosstep	A14ms	10L + 4s	988.2¢ to 1090.9¢
15-mosstep	Minor 15-mosstep	m15ms	9L + 6s	981.8¢ to 1058.8¢
	Major 15-mosstep	M15ms	10L + 5s	1058.8¢ to 1090.9¢
16-mosstep	Minor 16-mosstep	m16ms	10L + 6s	1090.9¢ to 1129.4¢
	Major 16-mosstep	M16ms	11L + 5s	1129.4¢ to 1200.0¢
17-mosstep	Perfect 17-mosstep	P17ms	11L + 6s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 11L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\17						211.765	988.235	1:1	1.000	Equalized 11L 6s
					17\96	212.500	987.500	6:5	1.200
				14\79		212.658	987.342	5:4	1.250
					25\141	212.766	987.234	9:7	1.286
			11\62			212.903	987.097	4:3	1.333	Supersoft 11L 6s
					30\169	213.018	986.982	11:8	1.375
				19\107		213.084	986.916	7:5	1.400
					27\152	213.158	986.842	10:7	1.429
		8\45				213.333	986.667	3:2	1.500	Soft 11L 6s
					29\163	213.497	986.503	11:7	1.571
				21\118		213.559	986.441	8:5	1.600
					34\191	213.613	986.387	13:8	1.625
			13\73			213.699	986.301	5:3	1.667	Semisoft 11L 6s
					31\174	213.793	986.207	12:7	1.714
				18\101		213.861	986.139	7:4	1.750
					23\129	213.953	986.047	9:5	1.800
	5\28					214.286	985.714	2:1	2.000	Basic 11L 6s Scales with tunings softer than this are proper
					22\123	214.634	985.366	9:4	2.250
				17\95		214.737	985.263	7:3	2.333
					29\162	214.815	985.185	12:5	2.400
			12\67			214.925	985.075	5:2	2.500	Semihard 11L 6s
					31\173	215.029	984.971	13:5	2.600
				19\106		215.094	984.906	8:3	2.667
					26\145	215.172	984.828	11:4	2.750
		7\39				215.385	984.615	3:1	3.000	Hard 11L 6s
					23\128	215.625	984.375	10:3	3.333
				16\89		215.730	984.270	7:2	3.500
					25\139	215.827	984.173	11:3	3.667
			9\50			216.000	984.000	4:1	4.000	Superhard 11L 6s
					20\111	216.216	983.784	9:2	4.500
				11\61		216.393	983.607	5:1	5.000
					13\72	216.667	983.333	6:1	6.000
2\11						218.182	981.818	1:0	→ ∞	Collapsed 11L 6s

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