11L 1s

← 10L 1s	11L 1s	12L 1s →
↙ 10L 2s	↓ 11L 2s	12L 2s ↘

┌╥╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLLLLLLs sLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\12 to 1\11 (100.0 ¢ to 109.1 ¢)
Dark	10\11 to 11\12 (1090.9 ¢ to 1100.0 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	1L 10s
Sister	1L 11s
Daughters	12L 11s, 11L 12s
Neutralized	10L 2s
2-Flought	23L 1s, 11L 13s
Equal tunings
Equalized (L:s = 1:1)	1\12 (100.0 ¢)
Supersoft (L:s = 4:3)	4\47 (102.1 ¢)
Soft (L:s = 3:2)	3\35 (102.9 ¢)
Semisoft (L:s = 5:3)	5\58 (103.4 ¢)
Basic (L:s = 2:1)	2\23 (104.3 ¢)
Semihard (L:s = 5:2)	5\57 (105.3 ¢)
Hard (L:s = 3:1)	3\34 (105.9 ¢)
Superhard (L:s = 4:1)	4\45 (106.7 ¢)
Collapsed (L:s = 1:0)	1\11 (109.1 ¢)

11L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 1 small step, repeating every octave. 11L 1s is a grandchild scale of 1L 9s, expanding it by 2 tones. Generators that produce this scale range from 100 ¢ to 109.1 ¢, or from 1090.9 ¢ to 1100 ¢. Scales of this form are always proper because there is only one small step. The 11L 1s MOS scale, with its diatonic minor second generator, is the dodecatonic scale of ripple (9:8 = +2 generators-6:5 = +3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2\23, where the octave feels like a comma shift of the 12th degree rather than an independent note.

Modes

Modes of 11L 1s

UDP	Cyclic order	Step pattern
11|0	1	LLLLLLLLLLLs
10|1	2	LLLLLLLLLLsL
9|2	3	LLLLLLLLLsLL
8|3	4	LLLLLLLLsLLL
7|4	5	LLLLLLLsLLLL
6|5	6	LLLLLLsLLLLL
5|6	7	LLLLLsLLLLLL
4|7	8	LLLLsLLLLLLL
3|8	9	LLLsLLLLLLLL
2|9	10	LLsLLLLLLLLL
1|10	11	LsLLLLLLLLLL
0|11	12	sLLLLLLLLLLL

Intervals

Intervals of 11L 1s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 100.0 ¢
	Perfect 1-mosstep	P1ms	L	100.0 ¢ to 109.1 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1 ¢ to 200.0 ¢
	Major 2-mosstep	M2ms	2L	200.0 ¢ to 218.2 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	218.2 ¢ to 300.0 ¢
	Major 3-mosstep	M3ms	3L	300.0 ¢ to 327.3 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	327.3 ¢ to 400.0 ¢
	Major 4-mosstep	M4ms	4L	400.0 ¢ to 436.4 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	436.4 ¢ to 500.0 ¢
	Major 5-mosstep	M5ms	5L	500.0 ¢ to 545.5 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	545.5 ¢ to 600.0 ¢
	Major 6-mosstep	M6ms	6L	600.0 ¢ to 654.5 ¢
7-mosstep	Minor 7-mosstep	m7ms	6L + s	654.5 ¢ to 700.0 ¢
	Major 7-mosstep	M7ms	7L	700.0 ¢ to 763.6 ¢
8-mosstep	Minor 8-mosstep	m8ms	7L + s	763.6 ¢ to 800.0 ¢
	Major 8-mosstep	M8ms	8L	800.0 ¢ to 872.7 ¢
9-mosstep	Minor 9-mosstep	m9ms	8L + s	872.7 ¢ to 900.0 ¢
	Major 9-mosstep	M9ms	9L	900.0 ¢ to 981.8 ¢
10-mosstep	Minor 10-mosstep	m10ms	9L + s	981.8 ¢ to 1000.0 ¢
	Major 10-mosstep	M10ms	10L	1000.0 ¢ to 1090.9 ¢
11-mosstep	Perfect 11-mosstep	P11ms	10L + s	1090.9 ¢ to 1100.0 ¢
	Augmented 11-mosstep	A11ms	11L	1100.0 ¢ to 1200.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	11L + s	1200.0 ¢