11L 9s

↖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
Descends from	2L 7s (balzano)
Related MOS scales
Parent	9L 2s
Sister	9L 11s
Daughters	20L 11s 11L 20s
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¢)

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¢.

Modes

Modes of 11L 9s

UDP	Rotational 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

Scale tree

Scale tree and tuning spectrum of 11L 9s

Generator (in steps of 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

This page is a stub. You can help the Xenharmonic Wiki by expanding it.