11L 7s

↖ 10L 6s	↑ 11L 6s	12L 6s ↗
← 10L 7s	11L 7s	12L 7s →
↙ 10L 8s	↓ 11L 8s	12L 8s ↘

┌╥╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐ │║║│║║│║│║║│║│║║│║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLsLLsLsLLsLs sLsLLsLsLLsLsLLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	13\18 to 8\11 (866.7¢ to 872.7¢)
Dark	3\11 to 5\18 (327.3¢ to 333.3¢)
TAMNAMS information
Descends from	4L 3s
Ancestor's step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	7L 4s
Sister	7L 11s
Daughters	18L 11s, 11L 18s
Neutralized	4L 14s
2-Flought	29L 7s, 11L 25s
Equal tunings
Equalized (L:s = 1:1)	13\18 (866.7¢)
Supersoft (L:s = 4:3)	47\65 (867.7¢)
Soft (L:s = 3:2)	34\47 (868.1¢)
Semisoft (L:s = 5:3)	55\76 (868.4¢)
Basic (L:s = 2:1)	21\29 (869.0¢)
Semihard (L:s = 5:2)	50\69 (869.6¢)
Hard (L:s = 3:1)	29\40 (870.0¢)
Superhard (L:s = 4:1)	37\51 (870.6¢)
Collapsed (L:s = 1:0)	8\11 (872.7¢)

11L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 7 small steps, repeating every octave. 11L 7s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 866.7¢ to 872.7¢, or from 327.3¢ to 333.3¢.

Modes

Modes of 11L 7s

UDP	Cyclic order	Step pattern
17|0	1	LLsLLsLsLLsLsLLsLs
16|1	14	LLsLsLLsLLsLsLLsLs
15|2	9	LLsLsLLsLsLLsLLsLs
14|3	4	LLsLsLLsLsLLsLsLLs
13|4	17	LsLLsLLsLsLLsLsLLs
12|5	12	LsLLsLsLLsLLsLsLLs
11|6	7	LsLLsLsLLsLsLLsLLs
10|7	2	LsLLsLsLLsLsLLsLsL
9|8	15	LsLsLLsLLsLsLLsLsL
8|9	10	LsLsLLsLsLLsLLsLsL
7|10	5	LsLsLLsLsLLsLsLLsL
6|11	18	sLLsLLsLsLLsLsLLsL
5|12	13	sLLsLsLLsLLsLsLLsL
4|13	8	sLLsLsLLsLsLLsLLsL
3|14	3	sLLsLsLLsLsLLsLsLL
2|15	16	sLsLLsLLsLsLLsLsLL
1|16	11	sLsLLsLsLLsLLsLsLL
0|17	6	sLsLLsLsLLsLsLLsLL

Intervals

Intervals of 11L 7s

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 66.7¢
	Major 1-mosstep	M1ms	L	66.7¢ to 109.1¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1¢ to 133.3¢
	Major 2-mosstep	M2ms	2L	133.3¢ to 218.2¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	109.1¢ to 200.0¢
	Major 3-mosstep	M3ms	2L + s	200.0¢ to 218.2¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2¢ to 266.7¢
	Major 4-mosstep	M4ms	3L + s	266.7¢ to 327.3¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	327.3¢ to 333.3¢
	Augmented 5-mosstep	A5ms	4L + s	333.3¢ to 436.4¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	327.3¢ to 400.0¢
	Major 6-mosstep	M6ms	4L + 2s	400.0¢ to 436.4¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	436.4¢ to 466.7¢
	Major 7-mosstep	M7ms	5L + 2s	466.7¢ to 545.5¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	436.4¢ to 533.3¢
	Major 8-mosstep	M8ms	5L + 3s	533.3¢ to 545.5¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	545.5¢ to 600.0¢
	Major 9-mosstep	M9ms	6L + 3s	600.0¢ to 654.5¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	654.5¢ to 666.7¢
	Major 10-mosstep	M10ms	7L + 3s	666.7¢ to 763.6¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	654.5¢ to 733.3¢
	Major 11-mosstep	M11ms	7L + 4s	733.3¢ to 763.6¢
12-mosstep	Minor 12-mosstep	m12ms	7L + 5s	763.6¢ to 800.0¢
	Major 12-mosstep	M12ms	8L + 4s	800.0¢ to 872.7¢
13-mosstep	Diminished 13-mosstep	d13ms	7L + 6s	763.6¢ to 866.7¢
	Perfect 13-mosstep	P13ms	8L + 5s	866.7¢ to 872.7¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	872.7¢ to 933.3¢
	Major 14-mosstep	M14ms	9L + 5s	933.3¢ to 981.8¢
15-mosstep	Minor 15-mosstep	m15ms	9L + 6s	981.8¢ to 1000.0¢
	Major 15-mosstep	M15ms	10L + 5s	1000.0¢ to 1090.9¢
16-mosstep	Minor 16-mosstep	m16ms	9L + 7s	981.8¢ to 1066.7¢
	Major 16-mosstep	M16ms	10L + 6s	1066.7¢ to 1090.9¢
17-mosstep	Minor 17-mosstep	m17ms	10L + 7s	1090.9¢ to 1133.3¢
	Major 17-mosstep	M17ms	11L + 6s	1133.3¢ to 1200.0¢
18-mosstep	Perfect 18-mosstep	P18ms	11L + 7s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 11L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
13\18						866.667	333.333	1:1	1.000	Equalized 11L 7s
					73\101	867.327	332.673	6:5	1.200
				60\83		867.470	332.530	5:4	1.250
					107\148	867.568	332.432	9:7	1.286
			47\65			867.692	332.308	4:3	1.333	Supersoft 11L 7s
					128\177	867.797	332.203	11:8	1.375
				81\112		867.857	332.143	7:5	1.400
					115\159	867.925	332.075	10:7	1.429
		34\47				868.085	331.915	3:2	1.500	Soft 11L 7s
					123\170	868.235	331.765	11:7	1.571
				89\123		868.293	331.707	8:5	1.600
					144\199	868.342	331.658	13:8	1.625
			55\76			868.421	331.579	5:3	1.667	Semisoft 11L 7s
					131\181	868.508	331.492	12:7	1.714
				76\105		868.571	331.429	7:4	1.750
					97\134	868.657	331.343	9:5	1.800
	21\29					868.966	331.034	2:1	2.000	Basic 11L 7s Scales with tunings softer than this are proper
					92\127	869.291	330.709	9:4	2.250
				71\98		869.388	330.612	7:3	2.333
					121\167	869.461	330.539	12:5	2.400
			50\69			869.565	330.435	5:2	2.500	Semihard 11L 7s
					129\178	869.663	330.337	13:5	2.600
				79\109		869.725	330.275	8:3	2.667
					108\149	869.799	330.201	11:4	2.750
		29\40				870.000	330.000	3:1	3.000	Hard 11L 7s
					95\131	870.229	329.771	10:3	3.333
				66\91		870.330	329.670	7:2	3.500
					103\142	870.423	329.577	11:3	3.667
			37\51			870.588	329.412	4:1	4.000	Superhard 11L 7s
					82\113	870.796	329.204	9:2	4.500
				45\62		870.968	329.032	5:1	5.000
					53\73	871.233	328.767	6:1	6.000
8\11						872.727	327.273	1:0	→ ∞	Collapsed 11L 7s

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