8L 11s

8L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 11 small steps, repeating every octave. 8L 11s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 442.1 ¢ to 450 ¢, or from 750 ¢ to 757.9 ¢.

↖ 7L 10s	↑ 8L 10s	9L 10s ↗
← 7L 11s	8L 11s	9L 11s →
↙ 7L 12s	↓ 8L 12s	9L 12s ↘

Scale structure
Step pattern	LsLsLssLsLsLssLsLss ssLsLssLsLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\19 to 3\8 (442.1 ¢ to 450.0 ¢)
Dark	5\8 to 12\19 (750.0 ¢ to 757.9 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	8L 3s
Sister	11L 8s
Daughters	19L 8s, 8L 19s
Neutralized	16L 3s
2-Flought	27L 11s, 8L 30s
Equal tunings
Equalized (L:s = 1:1)	7\19 (442.1 ¢)
Supersoft (L:s = 4:3)	24\65 (443.1 ¢)
Soft (L:s = 3:2)	17\46 (443.5 ¢)
Semisoft (L:s = 5:3)	27\73 (443.8 ¢)
Basic (L:s = 2:1)	10\27 (444.4 ¢)
Semihard (L:s = 5:2)	23\62 (445.2 ¢)
Hard (L:s = 3:1)	13\35 (445.7 ¢)
Superhard (L:s = 4:1)	16\43 (446.5 ¢)
Collapsed (L:s = 1:0)	3\8 (450.0 ¢)
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Modes

Modes of 8L 11s

UDP	Cyclic order	Step pattern
18|0	1	LsLsLssLsLsLssLsLss
17|1	8	LsLsLssLsLssLsLsLss
16|2	15	LsLssLsLsLssLsLsLss
15|3	3	LsLssLsLsLssLsLssLs
14|4	10	LsLssLsLssLsLsLssLs
13|5	17	LssLsLsLssLsLsLssLs
12|6	5	LssLsLsLssLsLssLsLs
11|7	12	LssLsLssLsLsLssLsLs
10|8	19	sLsLsLssLsLsLssLsLs
9|9	7	sLsLsLssLsLssLsLsLs
8|10	14	sLsLssLsLsLssLsLsLs
7|11	2	sLsLssLsLsLssLsLssL
6|12	9	sLsLssLsLssLsLsLssL
5|13	16	sLssLsLsLssLsLsLssL
4|14	4	sLssLsLsLssLsLssLsL
3|15	11	sLssLsLssLsLsLssLsL
2|16	18	ssLsLsLssLsLsLssLsL
1|17	6	ssLsLsLssLsLssLsLsL
0|18	13	ssLsLssLsLsLssLsLsL

Tuning spectrum

This MOS divides its large steps 1-1-2-1-1-2-1-2, like the 11edo octatonic scale, between its small steps. It is generated by a semi-sixth of 7/19edo (442.105) to 3/8edo (450 cents).

3/8					450
				19/51	447.058
			16/43		446.512
				29/78	446.154
					445.849
		13/35			445,714
					445.419
				36/97	445.361
					445.304
			23/62		445.161
				33/89	444.944
	10/27				444,444
				37/100	444
					443.965
			27/73		443.836
					443.7355
				44/119	443.6975
					443.635
		17/46			443.478
				41/111	443,243
			24/65		443.077
				31/84	442.857
7/19					442.105