5L 11s

↖ 4L 10s	↑ 5L 10s	6L 10s ↗
← 4L 11s	5L 11s	6L 11s →
↙ 4L 12s	↓ 5L 12s	6L 12s ↘

┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││║││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLssLsss sssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\16 to 1\5 (225.0 ¢ to 240.0 ¢)
Dark	4\5 to 13\16 (960.0 ¢ to 975.0 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	5L 6s
Sister	11L 5s
Daughters	16L 5s, 5L 16s
Neutralized	10L 6s
2-Flought	21L 11s, 5L 27s
Equal tunings
Equalized (L:s = 1:1)	3\16 (225.0 ¢)
Supersoft (L:s = 4:3)	10\53 (226.4 ¢)
Soft (L:s = 3:2)	7\37 (227.0 ¢)
Semisoft (L:s = 5:3)	11\58 (227.6 ¢)
Basic (L:s = 2:1)	4\21 (228.6 ¢)
Semihard (L:s = 5:2)	9\47 (229.8 ¢)
Hard (L:s = 3:1)	5\26 (230.8 ¢)
Superhard (L:s = 4:1)	6\31 (232.3 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)

5L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 11 small steps, repeating every octave. 5L 11s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 225 ¢ to 240 ¢, or from 960 ¢ to 975 ¢.

This mos has a large "diatonic" whole tone of 3\16edo (225 ¢) to 1\5edo (240 ¢) as a generator. Converging to 5edo as it becomes ever more improper, it moves from gorgo into slendric (the 2.3.7-subgroup temperament which tempers out the gamelisma of 1029/1024).

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 5L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\16						225.000	975.000	1:1	1.000	Equalized 5L 11s
					16\85	225.882	974.118	6:5	1.200
				13\69		226.087	973.913	5:4	1.250
					23\122	226.230	973.770	9:7	1.286
			10\53			226.415	973.585	4:3	1.333	Supersoft 5L 11s
					27\143	226.573	973.427	11:8	1.375
				17\90		226.667	973.333	7:5	1.400
					24\127	226.772	973.228	10:7	1.429
		7\37				227.027	972.973	3:2	1.500	Soft 5L 11s
					25\132	227.273	972.727	11:7	1.571
				18\95		227.368	972.632	8:5	1.600
					29\153	227.451	972.549	13:8	1.625
			11\58			227.586	972.414	5:3	1.667	Semisoft 5L 11s
					26\137	227.737	972.263	12:7	1.714
				15\79		227.848	972.152	7:4	1.750
					19\100	228.000	972.000	9:5	1.800
	4\21					228.571	971.429	2:1	2.000	Basic 5L 11s Scales with tunings softer than this are proper
					17\89	229.213	970.787	9:4	2.250
				13\68		229.412	970.588	7:3	2.333
					22\115	229.565	970.435	12:5	2.400
			9\47			229.787	970.213	5:2	2.500	Semihard 5L 11s
					23\120	230.000	970.000	13:5	2.600
				14\73		230.137	969.863	8:3	2.667
					19\99	230.303	969.697	11:4	2.750
		5\26				230.769	969.231	3:1	3.000	Hard 5L 11s
					16\83	231.325	968.675	10:3	3.333
				11\57		231.579	968.421	7:2	3.500
					17\88	231.818	968.182	11:3	3.667
			6\31			232.258	967.742	4:1	4.000	Superhard 5L 11s
					13\67	232.836	967.164	9:2	4.500
				7\36		233.333	966.667	5:1	5.000
					8\41	234.146	965.854	6:1	6.000
1\5						240.000	960.000	1:0	→ ∞	Collapsed 5L 11s