11L 8s

11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9 ¢ to 763.6 ¢, or from 436.4 ¢ to 442.1 ¢.

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

Scale structure
Step pattern	LLsLsLLsLsLsLLsLsLs sLsLsLLsLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	12\19 to 7\11 (757.9 ¢ to 763.6 ¢)
Dark	4\11 to 7\19 (436.4 ¢ to 442.1 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	8L 3s
Sister	8L 11s
Daughters	19L 11s, 11L 19s
Neutralized	3L 16s
2-Flought	30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1)	12\19 (757.9 ¢)
Supersoft (L:s = 4:3)	43\68 (758.8 ¢)
Soft (L:s = 3:2)	31\49 (759.2 ¢)
Semisoft (L:s = 5:3)	50\79 (759.5 ¢)
Basic (L:s = 2:1)	19\30 (760.0 ¢)
Semihard (L:s = 5:2)	45\71 (760.6 ¢)
Hard (L:s = 3:1)	26\41 (761.0 ¢)
Superhard (L:s = 4:1)	33\52 (761.5 ¢)
Collapsed (L:s = 1:0)	7\11 (763.6 ¢)
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Modes

Modes of 11L 8s

UDP	Cyclic order	Step pattern
18|0	1	LLsLsLLsLsLsLLsLsLs
17|1	13	LLsLsLsLLsLsLLsLsLs
16|2	6	LLsLsLsLLsLsLsLLsLs
15|3	18	LsLLsLsLLsLsLsLLsLs
14|4	11	LsLLsLsLsLLsLsLLsLs
13|5	4	LsLLsLsLsLLsLsLsLLs
12|6	16	LsLsLLsLsLLsLsLsLLs
11|7	9	LsLsLLsLsLsLLsLsLLs
10|8	2	LsLsLLsLsLsLLsLsLsL
9|9	14	LsLsLsLLsLsLLsLsLsL
8|10	7	LsLsLsLLsLsLsLLsLsL
7|11	19	sLLsLsLLsLsLsLLsLsL
6|12	12	sLLsLsLsLLsLsLLsLsL
5|13	5	sLLsLsLsLLsLsLsLLsL
4|14	17	sLsLLsLsLLsLsLsLLsL
3|15	10	sLsLLsLsLsLLsLsLLsL
2|16	3	sLsLLsLsLsLLsLsLsLL
1|17	15	sLsLsLLsLsLLsLsLsLL
0|18	8	sLsLsLLsLsLsLLsLsLL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
4\11								1	0		436.364
							35\96	8	1	8.000	437.500
						31\85		7	1	7.000	437.647
							58\159	13	2	6.500	437.736
					27\74			6	1	6.000	437.838
						50\137		11	2	5.500	437.956
				23\63				5	1	5.000	438.095
					42\115			9	2	4.500	438.261
						61\167		13	3	4.333	438.323
			19\52					4	1	4.000	438.462
					53\145			11	3	3.667	438.621
				34\93				7	2	3.500	438.710
					49\134			10	3	3.333	438.806
		15\41						3	1	3.000	439.024
					56\153			11	4	2.750	439.216
				41\112				8	3	2.667	439.286
			26\71					5	2	2.500	439.437
				37\101				7	3	2.333	439.604
					48\131			9	4	2.250	439.695
						59\161		11	5	2.200	439.752
	11\30							2	1	2.000	440.000
						62\169		11	6	1.833	440.237
					51\139			9	5	1.800	440.288
				40\109				7	4	1.750	440.367
			29\79					5	3	1.667	440.506
				47\128				8	5	1.600	440.625
		18\49						3	2	1.500	440.816
					61\166			10	7	1.429	440.964
				43\117				7	5	1.400	441.026
			25\68					4	3	1.333	441.176
					57\155			9	7	1.286	441.290
				32\87				5	4	1.250	441.379
					39\106			6	5	1.200	441.509
						46\125		7	6	1.167	441.600
							53\144	8	7	1.143	441.667
7\19								1	1	1.000	442.105