3L 11s

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↖ 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 ¢.

Modes

Modes of 3L 11s

UDP	Cyclic order	Step pattern
13|0	1	LsssLssssLssss
12|1	10	LssssLsssLssss
11|2	5	LssssLssssLsss
10|3	14	sLsssLssssLsss
9|4	9	sLssssLsssLsss
8|5	4	sLssssLssssLss
7|6	13	ssLsssLssssLss
6|7	8	ssLssssLsssLss
5|8	3	ssLssssLssssLs
4|9	12	sssLsssLssssLs
3|10	7	sssLssssLsssLs
2|11	2	sssLssssLssssL
1|12	11	ssssLsssLssssL
0|13	6	ssssLssssLsssL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
1\3								1	0		400.000
							12\35	8	1	8.000	411.429
						11\32		7	1	7.000	412.500
					10\29			6	1	6.000	413.793
						19\55		11	2	5.500	414.545
				9\26				5	1	5.000	415.385
						26\75		14	3	4.667	416.000
					17\49			9	2	4.500	416.327
						25\72		13	3	4.333	416.667	Sqrtphi is around here
			8\23					4	1	4.000	417.391
						31\89		15	4	3.750	417.978
					23\66			11	3	3.667	418.182
				15\43				7	2	3.500	418.605
					22\63			10	3	3.333	419.048
						29\83		13	4	3.250	419.277
		7\20						3	1	3.000	420.000
						34\97		14	5	2.800	420.619
					27\77			11	4	2.750	420.779	Symbolic is around here
				20\57				8	3	2.667	421.053
					33\94			13	5	2.600	421.277
			13\37					5	2	2.500	421.622
					32\91			12	5	2.400	421.978
				19\54				7	3	2.333	422.222
					25\71			9	4	2.250	422.535
						31\88		11	5	2.200	422.727
	6\17							2	1	2.000	423.529
						35\99		11	6	1.833	424.242
					29\82			9	5	1.800	424.390
				23\65				7	4	1.750	424.615
			17\48					5	3	1.667	425.000
				28\79				8	5	1.600	425.316
		11\31						3	2	1.500	425.806	Squares and Sentinel are around here
				27\76				7	5	1.400	426.316
			16\45					4	3	1.333	426.667
				21\59				5	4	1.250	427.119
					26\73			6	5	1.200	427.397
						31\87		7	6	1.167	427.586
							36\101	8	7	1.143	427.723
5\14								1	1	1.000	428.571