11L 9s

11L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 9 small steps, repeating every octave. 11L 9s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 540 ¢ to 545.5 ¢, or from 654.5 ¢ to 660 ¢.

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

Scale structure
Step pattern	LLsLsLsLsLLsLsLsLsLs sLsLsLsLsLLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\20 to 5\11 (540.0 ¢ to 545.5 ¢)
Dark	6\11 to 11\20 (654.5 ¢ to 660.0 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	9L 2s
Sister	9L 11s
Daughters	20L 11s, 11L 20s
Neutralized	2L 18s
2-Flought	31L 9s, 11L 29s
Equal tunings
Equalized (L:s = 1:1)	9\20 (540.0 ¢)
Supersoft (L:s = 4:3)	32\71 (540.8 ¢)
Soft (L:s = 3:2)	23\51 (541.2 ¢)
Semisoft (L:s = 5:3)	37\82 (541.5 ¢)
Basic (L:s = 2:1)	14\31 (541.9 ¢)
Semihard (L:s = 5:2)	33\73 (542.5 ¢)
Hard (L:s = 3:1)	19\42 (542.9 ¢)
Superhard (L:s = 4:1)	24\53 (543.4 ¢)
Collapsed (L:s = 1:0)	5\11 (545.5 ¢)
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Modes

Modes of 11L 9s

UDP	Cyclic order	Step pattern
19|0	1	LLsLsLsLsLLsLsLsLsLs
18|1	10	LLsLsLsLsLsLLsLsLsLs
17|2	19	LsLLsLsLsLsLLsLsLsLs
16|3	8	LsLLsLsLsLsLsLLsLsLs
15|4	17	LsLsLLsLsLsLsLLsLsLs
14|5	6	LsLsLLsLsLsLsLsLLsLs
13|6	15	LsLsLsLLsLsLsLsLLsLs
12|7	4	LsLsLsLLsLsLsLsLsLLs
11|8	13	LsLsLsLsLLsLsLsLsLLs
10|9	2	LsLsLsLsLLsLsLsLsLsL
9|10	11	LsLsLsLsLsLLsLsLsLsL
8|11	20	sLLsLsLsLsLLsLsLsLsL
7|12	9	sLLsLsLsLsLsLLsLsLsL
6|13	18	sLsLLsLsLsLsLLsLsLsL
5|14	7	sLsLLsLsLsLsLsLLsLsL
4|15	16	sLsLsLLsLsLsLsLLsLsL
3|16	5	sLsLsLLsLsLsLsLsLLsL
2|17	14	sLsLsLsLLsLsLsLsLLsL
1|18	3	sLsLsLsLLsLsLsLsLsLL
0|19	12	sLsLsLsLsLLsLsLsLsLL

Intervals

Intervals of 11L 9s

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 109.1 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	2L	120.0 ¢ to 218.2 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	109.1 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	2L + s	180.0 ¢ to 218.2 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	218.2 ¢ to 240.0 ¢
	Major 4-mosstep	M4ms	3L + s	240.0 ¢ to 327.3 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	218.2 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	300.0 ¢ to 327.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	327.3 ¢ to 360.0 ¢
	Major 6-mosstep	M6ms	4L + 2s	360.0 ¢ to 436.4 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	327.3 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	420.0 ¢ to 436.4 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	436.4 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	5L + 3s	480.0 ¢ to 545.5 ¢
9-mosstep	Diminished 9-mosstep	d9ms	4L + 5s	436.4 ¢ to 540.0 ¢
	Perfect 9-mosstep	P9ms	5L + 4s	540.0 ¢ to 545.5 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	545.5 ¢ to 600.0 ¢
	Major 10-mosstep	M10ms	6L + 4s	600.0 ¢ to 654.5 ¢
11-mosstep	Perfect 11-mosstep	P11ms	6L + 5s	654.5 ¢ to 660.0 ¢
	Augmented 11-mosstep	A11ms	7L + 4s	660.0 ¢ to 763.6 ¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	654.5 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	7L + 5s	720.0 ¢ to 763.6 ¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	763.6 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	8L + 5s	780.0 ¢ to 872.7 ¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	763.6 ¢ to 840.0 ¢
	Major 14-mosstep	M14ms	8L + 6s	840.0 ¢ to 872.7 ¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	872.7 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	9L + 6s	900.0 ¢ to 981.8 ¢
16-mosstep	Minor 16-mosstep	m16ms	8L + 8s	872.7 ¢ to 960.0 ¢
	Major 16-mosstep	M16ms	9L + 7s	960.0 ¢ to 981.8 ¢
17-mosstep	Minor 17-mosstep	m17ms	9L + 8s	981.8 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	10L + 7s	1020.0 ¢ to 1090.9 ¢
18-mosstep	Minor 18-mosstep	m18ms	9L + 9s	981.8 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	10L + 8s	1080.0 ¢ to 1090.9 ¢
19-mosstep	Minor 19-mosstep	m19ms	10L + 9s	1090.9 ¢ to 1140.0 ¢
	Major 19-mosstep	M19ms	11L + 8s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	11L + 9s	1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 11L 9s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\20						540.000	660.000	1:1	1.000	Equalized 11L 9s
					50\111	540.541	659.459	6:5	1.200
				41\91		540.659	659.341	5:4	1.250
					73\162	540.741	659.259	9:7	1.286
			32\71			540.845	659.155	4:3	1.333	Supersoft 11L 9s
					87\193	540.933	659.067	11:8	1.375
				55\122		540.984	659.016	7:5	1.400
					78\173	541.040	658.960	10:7	1.429
		23\51				541.176	658.824	3:2	1.500	Soft 11L 9s
					83\184	541.304	658.696	11:7	1.571
				60\133		541.353	658.647	8:5	1.600
					97\215	541.395	658.605	13:8	1.625
			37\82			541.463	658.537	5:3	1.667	Semisoft 11L 9s
					88\195	541.538	658.462	12:7	1.714
				51\113		541.593	658.407	7:4	1.750
					65\144	541.667	658.333	9:5	1.800
	14\31					541.935	658.065	2:1	2.000	Basic 11L 9s Scales with tunings softer than this are proper
					61\135	542.222	657.778	9:4	2.250
				47\104		542.308	657.692	7:3	2.333
					80\177	542.373	657.627	12:5	2.400
			33\73			542.466	657.534	5:2	2.500	Semihard 11L 9s
					85\188	542.553	657.447	13:5	2.600
				52\115		542.609	657.391	8:3	2.667
					71\157	542.675	657.325	11:4	2.750
		19\42				542.857	657.143	3:1	3.000	Hard 11L 9s
					62\137	543.066	656.934	10:3	3.333
				43\95		543.158	656.842	7:2	3.500
					67\148	543.243	656.757	11:3	3.667
			24\53			543.396	656.604	4:1	4.000	Superhard 11L 9s
					53\117	543.590	656.410	9:2	4.500
				29\64		543.750	656.250	5:1	5.000
					34\75	544.000	656.000	6:1	6.000
5\11						545.455	654.545	1:0	→ ∞	Collapsed 11L 9s

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