11L 6s

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 ¢.

↖ 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
Related to	5L 1s (machinoid)
With tunings	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 ¢)
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Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

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 ¢

Generator chain

Generator chain of 11L 6s

Bright gens	Scale degree	Abbrev.
27	Augmented 13-mosdegree	A13md
26	Augmented 10-mosdegree	A10md
25	Augmented 7-mosdegree	A7md
24	Augmented 4-mosdegree	A4md
23	Augmented 1-mosdegree	A1md
22	Augmented 15-mosdegree	A15md
21	Augmented 12-mosdegree	A12md
20	Augmented 9-mosdegree	A9md
19	Augmented 6-mosdegree	A6md
18	Augmented 3-mosdegree	A3md
17	Augmented 0-mosdegree	A0md
16	Augmented 14-mosdegree	A14md
15	Major 11-mosdegree	M11md
14	Major 8-mosdegree	M8md
13	Major 5-mosdegree	M5md
12	Major 2-mosdegree	M2md
11	Major 16-mosdegree	M16md
10	Major 13-mosdegree	M13md
9	Major 10-mosdegree	M10md
8	Major 7-mosdegree	M7md
7	Major 4-mosdegree	M4md
6	Major 1-mosdegree	M1md
5	Major 15-mosdegree	M15md
4	Major 12-mosdegree	M12md
3	Major 9-mosdegree	M9md
2	Major 6-mosdegree	M6md
1	Perfect 3-mosdegree	P3md
0	Perfect 0-mosdegree Perfect 17-mosdegree	P0md P17md
−1	Perfect 14-mosdegree	P14md
−2	Minor 11-mosdegree	m11md
−3	Minor 8-mosdegree	m8md
−4	Minor 5-mosdegree	m5md
−5	Minor 2-mosdegree	m2md
−6	Minor 16-mosdegree	m16md
−7	Minor 13-mosdegree	m13md
−8	Minor 10-mosdegree	m10md
−9	Minor 7-mosdegree	m7md
−10	Minor 4-mosdegree	m4md
−11	Minor 1-mosdegree	m1md
−12	Minor 15-mosdegree	m15md
−13	Minor 12-mosdegree	m12md
−14	Minor 9-mosdegree	m9md
−15	Minor 6-mosdegree	m6md
−16	Diminished 3-mosdegree	d3md
−17	Diminished 17-mosdegree	d17md
−18	Diminished 14-mosdegree	d14md
−19	Diminished 11-mosdegree	d11md
−20	Diminished 8-mosdegree	d8md
−21	Diminished 5-mosdegree	d5md
−22	Diminished 2-mosdegree	d2md
−23	Diminished 16-mosdegree	d16md
−24	Diminished 13-mosdegree	d13md
−25	Diminished 10-mosdegree	d10md
−26	Diminished 7-mosdegree	d7md
−27	Diminished 4-mosdegree	d4md

Modes

Scale degrees of the modes of 11L 6s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
16|0	1	LLsLLsLLsLLsLLsLs	Perf.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Aug.	Maj.	Maj.	Perf.
15|1	4	LLsLLsLLsLLsLsLLs	Perf.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Perf.
14|2	7	LLsLLsLLsLsLLsLLs	Perf.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Perf.	Maj.	Maj.	Perf.
13|3	10	LLsLLsLsLLsLLsLLs	Perf.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Perf.	Maj.	Maj.	Perf.
12|4	13	LLsLsLLsLLsLLsLLs	Perf.	Maj.	Maj.	Perf.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Perf.	Maj.	Maj.	Perf.
11|5	16	LsLLsLLsLLsLLsLLs	Perf.	Maj.	Min.	Perf.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Perf.	Maj.	Maj.	Perf.
10|6	2	LsLLsLLsLLsLLsLsL	Perf.	Maj.	Min.	Perf.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Perf.	Maj.	Min.	Perf.
9|7	5	LsLLsLLsLLsLsLLsL	Perf.	Maj.	Min.	Perf.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Min.	Perf.	Maj.	Min.	Perf.
8|8	8	LsLLsLLsLsLLsLLsL	Perf.	Maj.	Min.	Perf.	Maj.	Min.	Maj.	Maj.	Min.	Maj.	Min.	Min.	Maj.	Min.	Perf.	Maj.	Min.	Perf.
7|9	11	LsLLsLsLLsLLsLLsL	Perf.	Maj.	Min.	Perf.	Maj.	Min.	Maj.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Perf.	Maj.	Min.	Perf.
6|10	14	LsLsLLsLLsLLsLLsL	Perf.	Maj.	Min.	Perf.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Perf.	Maj.	Min.	Perf.
5|11	17	sLLsLLsLLsLLsLLsL	Perf.	Min.	Min.	Perf.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Perf.	Maj.	Min.	Perf.
4|12	3	sLLsLLsLLsLLsLsLL	Perf.	Min.	Min.	Perf.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Perf.	Min.	Min.	Perf.
3|13	6	sLLsLLsLLsLsLLsLL	Perf.	Min.	Min.	Perf.	Min.	Min.	Maj.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Perf.
2|14	9	sLLsLLsLsLLsLLsLL	Perf.	Min.	Min.	Perf.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Perf.
1|15	12	sLLsLsLLsLLsLLsLL	Perf.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Perf.
0|16	15	sLsLLsLLsLLsLLsLL	Perf.	Min.	Min.	Dim.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Perf.

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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