9L 11s

↖ 8L 10s	↑ 9L 10s	10L 10s ↗
← 8L 11s	9L 11s	10L 11s →
↙ 8L 12s	↓ 9L 12s	10L 12s ↘

┌╥┬╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║││║│║│║│║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLssLsLsLsLss ssLsLsLsLssLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\20 to 5\9 (660.0 ¢ to 666.7 ¢)
Dark	4\9 to 9\20 (533.3 ¢ to 540.0 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	9L 2s
Sister	11L 9s
Daughters	20L 9s, 9L 20s
Neutralized	18L 2s
2-Flought	29L 11s, 9L 31s
Equal tunings
Equalized (L:s = 1:1)	11\20 (660.0 ¢)
Supersoft (L:s = 4:3)	38\69 (660.9 ¢)
Soft (L:s = 3:2)	27\49 (661.2 ¢)
Semisoft (L:s = 5:3)	43\78 (661.5 ¢)
Basic (L:s = 2:1)	16\29 (662.1 ¢)
Semihard (L:s = 5:2)	37\67 (662.7 ¢)
Hard (L:s = 3:1)	21\38 (663.2 ¢)
Superhard (L:s = 4:1)	26\47 (663.8 ¢)
Collapsed (L:s = 1:0)	5\9 (666.7 ¢)

9L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 11 small steps, repeating every octave. 9L 11s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 660 ¢ to 666.7 ¢, or from 533.3 ¢ to 540 ¢.

Modes

Modes of 9L 11s

UDP	Cyclic order	Step pattern
19|0	1	LsLsLsLsLssLsLsLsLss
18|1	12	LsLsLsLssLsLsLsLsLss
17|2	3	LsLsLsLssLsLsLsLssLs
16|3	14	LsLsLssLsLsLsLsLssLs
15|4	5	LsLsLssLsLsLsLssLsLs
14|5	16	LsLssLsLsLsLsLssLsLs
13|6	7	LsLssLsLsLsLssLsLsLs
12|7	18	LssLsLsLsLsLssLsLsLs
11|8	9	LssLsLsLsLssLsLsLsLs
10|9	20	sLsLsLsLsLssLsLsLsLs
9|10	11	sLsLsLsLssLsLsLsLsLs
8|11	2	sLsLsLsLssLsLsLsLssL
7|12	13	sLsLsLssLsLsLsLsLssL
6|13	4	sLsLsLssLsLsLsLssLsL
5|14	15	sLsLssLsLsLsLsLssLsL
4|15	6	sLsLssLsLsLsLssLsLsL
3|16	17	sLssLsLsLsLsLssLsLsL
2|17	8	sLssLsLsLsLssLsLsLsL
1|18	19	ssLsLsLsLsLssLsLsLsL
0|19	10	ssLsLsLsLssLsLsLsLsL

Intervals

Intervals of 9L 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 60.0 ¢
	Major 1-mosstep	M1ms	L	60.0 ¢ to 133.3 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	L + s	120.0 ¢ to 133.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	133.3 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	2L + s	180.0 ¢ to 266.7 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	133.3 ¢ to 240.0 ¢
	Major 4-mosstep	M4ms	2L + 2s	240.0 ¢ to 266.7 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	266.7 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	300.0 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	266.7 ¢ to 360.0 ¢
	Major 6-mosstep	M6ms	3L + 3s	360.0 ¢ to 400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	400.0 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	420.0 ¢ to 533.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	400.0 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	4L + 4s	480.0 ¢ to 533.3 ¢
9-mosstep	Perfect 9-mosstep	P9ms	4L + 5s	533.3 ¢ to 540.0 ¢
	Augmented 9-mosstep	A9ms	5L + 4s	540.0 ¢ to 666.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	533.3 ¢ to 600.0 ¢
	Major 10-mosstep	M10ms	5L + 5s	600.0 ¢ to 666.7 ¢
11-mosstep	Diminished 11-mosstep	d11ms	4L + 7s	533.3 ¢ to 660.0 ¢
	Perfect 11-mosstep	P11ms	5L + 6s	660.0 ¢ to 666.7 ¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	666.7 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	6L + 6s	720.0 ¢ to 800.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	666.7 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	6L + 7s	780.0 ¢ to 800.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	800.0 ¢ to 840.0 ¢
	Major 14-mosstep	M14ms	7L + 7s	840.0 ¢ to 933.3 ¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	800.0 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	7L + 8s	900.0 ¢ to 933.3 ¢
16-mosstep	Minor 16-mosstep	m16ms	7L + 9s	933.3 ¢ to 960.0 ¢
	Major 16-mosstep	M16ms	8L + 8s	960.0 ¢ to 1066.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	7L + 10s	933.3 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	8L + 9s	1020.0 ¢ to 1066.7 ¢
18-mosstep	Minor 18-mosstep	m18ms	8L + 10s	1066.7 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	9L + 9s	1080.0 ¢ to 1200.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	8L + 11s	1066.7 ¢ to 1140.0 ¢
	Major 19-mosstep	M19ms	9L + 10s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	9L + 11s	1200.0 ¢

Scale tree

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