12L 11s

↖11L 10s	↑12L 10s	13L 10s↗
←11L 11s	12L 11s	13L 11s→
↙11L 12s	↓12L 12s	13L 12s↘

┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	21\23 to 11\12 (1095.7¢ to 1100.0¢)
Dark	1\12 to 2\23 (100.0¢ to 104.3¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Required step ratio range	5:2 to 3:1 (quasihard)
Related MOS scales
Parent	11L 1s
Sister	11L 12s
Daughters	23L 12s 12L 23s
Neutralized	1L 22s
Equal tunings
Equalized (L:s = 1:1)	21\23 (1095.7¢)
Supersoft (L:s = 4:3)	74\81 (1096.3¢)
Soft (L:s = 3:2)	53\58 (1096.6¢)
Semisoft (L:s = 5:3)	85\93 (1096.8¢)
Basic (L:s = 2:1)	32\35 (1097.1¢)
Semihard (L:s = 5:2)	75\82 (1097.6¢)
Hard (L:s = 3:1)	43\47 (1097.9¢)
Superhard (L:s = 4:1)	54\59 (1098.3¢)
Collapsed (L:s = 1:0)	11\12 (1100.0¢)

12L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 11 small steps, repeating every octave. 12L 11s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 1095.7¢ to 1100¢, or from 100¢ to 104.3¢.

Modes

Modes of 12L 11s

UDP	Rotational order	Step pattern
22|0	1	LLsLsLsLsLsLsLsLsLsLsLs
21|1	22	LsLLsLsLsLsLsLsLsLsLsLs
20|2	20	LsLsLLsLsLsLsLsLsLsLsLs
19|3	18	LsLsLsLLsLsLsLsLsLsLsLs
18|4	16	LsLsLsLsLLsLsLsLsLsLsLs
17|5	14	LsLsLsLsLsLLsLsLsLsLsLs
16|6	12	LsLsLsLsLsLsLLsLsLsLsLs
15|7	10	LsLsLsLsLsLsLsLLsLsLsLs
14|8	8	LsLsLsLsLsLsLsLsLLsLsLs
13|9	6	LsLsLsLsLsLsLsLsLsLLsLs
12|10	4	LsLsLsLsLsLsLsLsLsLsLLs
11|11	2	LsLsLsLsLsLsLsLsLsLsLsL
10|12	23	sLLsLsLsLsLsLsLsLsLsLsL
9|13	21	sLsLLsLsLsLsLsLsLsLsLsL
8|14	19	sLsLsLLsLsLsLsLsLsLsLsL
7|15	17	sLsLsLsLLsLsLsLsLsLsLsL
6|16	15	sLsLsLsLsLLsLsLsLsLsLsL
5|17	13	sLsLsLsLsLsLLsLsLsLsLsL
4|18	11	sLsLsLsLsLsLsLLsLsLsLsL
3|19	9	sLsLsLsLsLsLsLsLLsLsLsL
2|20	7	sLsLsLsLsLsLsLsLsLLsLsL
1|21	5	sLsLsLsLsLsLsLsLsLsLLsL
0|22	3	sLsLsLsLsLsLsLsLsLsLsLL

Scale tree

Scale Tree and Tuning Spectrum of 12L 11s

Generator(edo)						Cents		Step Ratio		Comments
						Bright	Dark	L:s	Hardness
21\23						1095.652	104.348	1:1	1.000	Equalized 12L 11s
					116\127	1096.063	103.937	6:5	1.200
				95\104		1096.154	103.846	5:4	1.250
					169\185	1096.216	103.784	9:7	1.286
			74\81			1096.296	103.704	4:3	1.333	Supersoft 12L 11s
					201\220	1096.364	103.636	11:8	1.375
				127\139		1096.403	103.597	7:5	1.400
					180\197	1096.447	103.553	10:7	1.429
		53\58				1096.552	103.448	3:2	1.500	Soft 12L 11s
					191\209	1096.651	103.349	11:7	1.571
				138\151		1096.689	103.311	8:5	1.600
					223\244	1096.721	103.279	13:8	1.625
			85\93			1096.774	103.226	5:3	1.667	Semisoft 12L 11s
					202\221	1096.833	103.167	12:7	1.714
				117\128		1096.875	103.125	7:4	1.750
					149\163	1096.933	103.067	9:5	1.800
	32\35					1097.143	102.857	2:1	2.000	Basic 12L 11s Scales with tunings softer than this are proper
					139\152	1097.368	102.632	9:4	2.250
				107\117		1097.436	102.564	7:3	2.333
					182\199	1097.487	102.513	12:5	2.400
			75\82			1097.561	102.439	5:2	2.500	Semihard 12L 11s
					193\211	1097.630	102.370	13:5	2.600
				118\129		1097.674	102.326	8:3	2.667
					161\176	1097.727	102.273	11:4	2.750
		43\47				1097.872	102.128	3:1	3.000	Hard 12L 11s
					140\153	1098.039	101.961	10:3	3.333
				97\106		1098.113	101.887	7:2	3.500
					151\165	1098.182	101.818	11:3	3.667
			54\59			1098.305	101.695	4:1	4.000	Superhard 12L 11s
					119\130	1098.462	101.538	9:2	4.500
				65\71		1098.592	101.408	5:1	5.000
					76\83	1098.795	101.205	6:1	6.000
11\12						1100.000	100.000	1:0	→ ∞	Collapsed 12L 11s

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