9L 11s

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 ¢.

↖ 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 ¢)
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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

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 9L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
11\20						660.000	540.000	1:1	1.000	Equalized 9L 11s
					60\109	660.550	539.450	6:5	1.200
				49\89		660.674	539.326	5:4	1.250
					87\158	660.759	539.241	9:7	1.286
			38\69			660.870	539.130	4:3	1.333	Supersoft 9L 11s
					103\187	660.963	539.037	11:8	1.375
				65\118		661.017	538.983	7:5	1.400
					92\167	661.078	538.922	10:7	1.429
		27\49				661.224	538.776	3:2	1.500	Soft 9L 11s
					97\176	661.364	538.636	11:7	1.571
				70\127		661.417	538.583	8:5	1.600
					113\205	661.463	538.537	13:8	1.625
			43\78			661.538	538.462	5:3	1.667	Semisoft 9L 11s
					102\185	661.622	538.378	12:7	1.714
				59\107		661.682	538.318	7:4	1.750
					75\136	661.765	538.235	9:5	1.800
	16\29					662.069	537.931	2:1	2.000	Basic 9L 11s Scales with tunings softer than this are proper
					69\125	662.400	537.600	9:4	2.250
				53\96		662.500	537.500	7:3	2.333
					90\163	662.577	537.423	12:5	2.400
			37\67			662.687	537.313	5:2	2.500	Semihard 9L 11s
					95\172	662.791	537.209	13:5	2.600
				58\105		662.857	537.143	8:3	2.667
					79\143	662.937	537.063	11:4	2.750
		21\38				663.158	536.842	3:1	3.000	Hard 9L 11s
					68\123	663.415	536.585	10:3	3.333
				47\85		663.529	536.471	7:2	3.500
					73\132	663.636	536.364	11:3	3.667
			26\47			663.830	536.170	4:1	4.000	Superhard 9L 11s
					57\103	664.078	535.922	9:2	4.500
				31\56		664.286	535.714	5:1	5.000
					36\65	664.615	535.385	6:1	6.000
5\9						666.667	533.333	1:0	→ ∞	Collapsed 9L 11s

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