11L 1s


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

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│║║║║║║║║║║║││
││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┘

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

Equal tunings

Equalized (L:s = 1:1)

1\12 (100.0 ¢)

Supersoft (L:s = 4:3)

4\47 (102.1 ¢)

3\35 (102.9 ¢)

5\58 (103.4 ¢)

2\23 (104.3 ¢)

5\57 (105.3 ¢)

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

Scale tree

Generator		Cents	2g	3g	Comments
1\12		100.000	200.000	300.000	Ripple
5\59		101.695	203.390	305.085
	9\106	101.887	203.774	305.660
	13\153	101.961	203.922	305.882
	17\200	102.000	204.000	306.000
4\47		102.128	204.255	306.383
	7\82	102.439	204.878	307.317
	10\117	102.564	205.128	307.692
	13\152	102.632	205.263	307.895
	16\187	102.674	205.348	308.021
	19\222	102.703	205.405	308.108
3\35		102.857	205.714	308.571
	20\233	103.004	206.009	309.013
	17\198	103.030	206.061	309.091
	14\163	103.067	206.135	309.202
		103.123	206.246	309.368
	11\128	103.125	206.250	309.375
	8\93	103.226	206.452	309.677
		103.288	206.575	309.863
	5\58	103.448	206.897	310.345
		103.651	207.301	310.952
	7\81	103.703	207.407	311.111
	9\104	103.846	207.692	311.538
	11\127	103.937	207.874	311.811
	13\150	104.000	208.000	312.000
2\23		104.348	208.969	313.043	Ripple
	11\126	104.762	209.524	314.286
	9\103	104.854	209.709	314.563
	7\80	105.000	210.000	315.000
	5\57	105.263	210.526	315.789
		105.430	210.860	316.290
	8\91	105.495	210.989	316.484
		105.561	211.121	316.682
	11\125	105.600	211.200	316.800
3\34		105.822	211.765	317.647
		106.023	212.046	318.069
	7\79	106.329	212.658	318.987
	11\124	106.452	212.903	319.355
4\45		106.667	213.333	320.000
5\56		107.143	214.286	321.429
1\11		109.091	218.182	327.273