3L 11s

↖ 2L 10s	↑ 3L 10s	4L 10s ↗
← 2L 11s	3L 11s	4L 11s →
↙ 2L 12s	↓ 3L 12s	4L 12s ↘

┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║│││║││││║│││││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLssssLssss ssssLssssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\14 to 2\3 (771.4 ¢ to 800.0 ¢)
Dark	1\3 to 5\14 (400.0 ¢ to 428.6 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	3L 8s
Sister	11L 3s
Daughters	14L 3s, 3L 14s
Neutralized	6L 8s
2-Flought	17L 11s, 3L 25s
Equal tunings
Equalized (L:s = 1:1)	9\14 (771.4 ¢)
Supersoft (L:s = 4:3)	29\45 (773.3 ¢)
Soft (L:s = 3:2)	20\31 (774.2 ¢)
Semisoft (L:s = 5:3)	31\48 (775.0 ¢)
Basic (L:s = 2:1)	11\17 (776.5 ¢)
Semihard (L:s = 5:2)	24\37 (778.4 ¢)
Hard (L:s = 3:1)	13\20 (780.0 ¢)
Superhard (L:s = 4:1)	15\23 (782.6 ¢)
Collapsed (L:s = 1:0)	2\3 (800.0 ¢)

3L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 11 small steps, repeating every octave. 3L 11s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 771.4 ¢ to 800 ¢, or from 400 ¢ to 428.6 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 3L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\14						771.429	428.571	1:1	1.000	Equalized 3L 11s
					47\73	772.603	427.397	6:5	1.200
				38\59		772.881	427.119	5:4	1.250
					67\104	773.077	426.923	9:7	1.286
			29\45			773.333	426.667	4:3	1.333	Supersoft 3L 11s
					78\121	773.554	426.446	11:8	1.375
				49\76		773.684	426.316	7:5	1.400
					69\107	773.832	426.168	10:7	1.429
		20\31				774.194	425.806	3:2	1.500	Soft 3L 11s Squares and Sentinel are around here
					71\110	774.545	425.455	11:7	1.571
				51\79		774.684	425.316	8:5	1.600
					82\127	774.803	425.197	13:8	1.625
			31\48			775.000	425.000	5:3	1.667	Semisoft 3L 11s
					73\113	775.221	424.779	12:7	1.714
				42\65		775.385	424.615	7:4	1.750
					53\82	775.610	424.390	9:5	1.800
	11\17					776.471	423.529	2:1	2.000	Basic 3L 11s Scales with tunings softer than this are proper
					46\71	777.465	422.535	9:4	2.250
				35\54		777.778	422.222	7:3	2.333
					59\91	778.022	421.978	12:5	2.400
			24\37			778.378	421.622	5:2	2.500	Semihard 3L 11s
					61\94	778.723	421.277	13:5	2.600
				37\57		778.947	421.053	8:3	2.667
					50\77	779.221	420.779	11:4	2.750	Symbolic is around here
		13\20				780.000	420.000	3:1	3.000	Hard 3L 11s
					41\63	780.952	419.048	10:3	3.333
				28\43		781.395	418.605	7:2	3.500
					43\66	781.818	418.182	11:3	3.667
			15\23			782.609	417.391	4:1	4.000	Superhard 3L 11s
					32\49	783.673	416.327	9:2	4.500
				17\26		784.615	415.385	5:1	5.000
					19\29	786.207	413.793	6:1	6.000
2\3						800.000	400.000	1:0	→ ∞	Collapsed 3L 11s

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