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
Related to	1L 9s (antisinatonic)
With tunings	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

Intervals

Intervals of 1L 11s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 100.0 ¢
	Augmented 1-mosstep	A1ms	L	100.0 ¢ to 1200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 200.0 ¢
	Major 2-mosstep	M2ms	L + s	200.0 ¢ to 1200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 300.0 ¢
	Major 3-mosstep	M3ms	L + 2s	300.0 ¢ to 1200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 400.0 ¢
	Major 4-mosstep	M4ms	L + 3s	400.0 ¢ to 1200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 500.0 ¢
	Major 5-mosstep	M5ms	L + 4s	500.0 ¢ to 1200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 600.0 ¢
	Major 6-mosstep	M6ms	L + 5s	600.0 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 700.0 ¢
	Major 7-mosstep	M7ms	L + 6s	700.0 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 800.0 ¢
	Major 8-mosstep	M8ms	L + 7s	800.0 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 900.0 ¢
	Major 9-mosstep	M9ms	L + 8s	900.0 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0 ¢ to 1000.0 ¢
	Major 10-mosstep	M10ms	L + 9s	1000.0 ¢ to 1200.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	11s	0.0 ¢ to 1100.0 ¢
	Perfect 11-mosstep	P11ms	L + 10s	1100.0 ¢ to 1200.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	L + 11s	1200.0 ¢

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)