1L 11s

	↑ 1L 10s	2L 10s ↗
	1L 11s	2L 11s →
	↓ 1L 12s	2L 12s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lsssssssssss sssssssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	11\12 to 1\1 (1100.0¢ to 1200.0¢)
Dark	0\1 to 1\12 (0.0¢ to 100.0¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Ancestor's step ratio range	3:1 to 1:0 (hard)
Related MOS scales
Parent	1L 10s
Sister	11L 1s
Daughters	12L 1s, 1L 12s
Neutralized	2L 10s
2-Flought	13L 11s, 1L 23s
Equal tunings
Equalized (L:s = 1:1)	11\12 (1100.0¢)
Supersoft (L:s = 4:3)	34\37 (1102.7¢)
Soft (L:s = 3:2)	23\25 (1104.0¢)
Semisoft (L:s = 5:3)	35\38 (1105.3¢)
Basic (L:s = 2:1)	12\13 (1107.7¢)
Semihard (L:s = 5:2)	25\27 (1111.1¢)
Hard (L:s = 3:1)	13\14 (1114.3¢)
Superhard (L:s = 4:1)	14\15 (1120.0¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 11 small steps, repeating every octave. 1L 11s is a grandchild scale of 1L 9s, expanding it by 2 tones. Generators that produce this scale range from 1100¢ to 1200¢, or from 0¢ to 100¢. The simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, or passion (5;4 = +3 generators), and even there it implies a val with warts for 3 and (for the most part) 5.

Modes

Modes of 1L 11s

UDP	Cyclic order	Step pattern
11|0	1	Lsssssssssss
10|1	12	sLssssssssss
9|2	11	ssLsssssssss
8|3	10	sssLssssssss
7|4	9	ssssLsssssss
6|5	8	sssssLssssss
5|6	7	ssssssLsssss
4|7	6	sssssssLssss
3|8	5	ssssssssLsss
2|9	4	sssssssssLss
1|10	3	ssssssssssLs
0|11	2	sssssssssssL

Scale tree

Todo: review Review entries from past page revision and enter them into the scale tree.

Generator ranges:

• Chroma-positive generator: 1100 cents (11\12) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 100 cents (1\12)

Scale Tree and Tuning Spectrum of 1L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
11\12						1100.000	100.000	1:1	1.000	Equalized 1L 11s
					56\61	1101.639	98.361	6:5	1.200
				45\49		1102.041	97.959	5:4	1.250
					79\86	1102.326	97.674	9:7	1.286
			34\37			1102.703	97.297	4:3	1.333	Supersoft 1L 11s
					91\99	1103.030	96.970	11:8	1.375
				57\62		1103.226	96.774	7:5	1.400
					80\87	1103.448	96.552	10:7	1.429
		23\25				1104.000	96.000	3:2	1.500	Soft 1L 11s
					81\88	1104.545	95.455	11:7	1.571
				58\63		1104.762	95.238	8:5	1.600
					93\101	1104.950	95.050	13:8	1.625
			35\38			1105.263	94.737	5:3	1.667	Semisoft 1L 11s
					82\89	1105.618	94.382	12:7	1.714
				47\51		1105.882	94.118	7:4	1.750
					59\64	1106.250	93.750	9:5	1.800
	12\13					1107.692	92.308	2:1	2.000	Basic 1L 11s Scales with tunings softer than this are proper
					49\53	1109.434	90.566	9:4	2.250
				37\40		1110.000	90.000	7:3	2.333
					62\67	1110.448	89.552	12:5	2.400
			25\27			1111.111	88.889	5:2	2.500	Semihard 1L 11s
					63\68	1111.765	88.235	13:5	2.600
				38\41		1112.195	87.805	8:3	2.667
					51\55	1112.727	87.273	11:4	2.750
		13\14				1114.286	85.714	3:1	3.000	Hard 1L 11s
					40\43	1116.279	83.721	10:3	3.333
				27\29		1117.241	82.759	7:2	3.500
					41\44	1118.182	81.818	11:3	3.667
			14\15			1120.000	80.000	4:1	4.000	Superhard 1L 11s
					29\31	1122.581	77.419	9:2	4.500
				15\16		1125.000	75.000	5:1	5.000
					16\17	1129.412	70.588	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 11s