11L 5s

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

┌╥╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║│║║│║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\16 to 9\11 (975.0 ¢ to 981.8 ¢)
Dark	2\11 to 3\16 (218.2 ¢ to 225.0 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	5L 6s
Sister	5L 11s
Daughters	16L 11s, 11L 16s
Neutralized	6L 10s
2-Flought	27L 5s, 11L 21s
Equal tunings
Equalized (L:s = 1:1)	13\16 (975.0 ¢)
Supersoft (L:s = 4:3)	48\59 (976.3 ¢)
Soft (L:s = 3:2)	35\43 (976.7 ¢)
Semisoft (L:s = 5:3)	57\70 (977.1 ¢)
Basic (L:s = 2:1)	22\27 (977.8 ¢)
Semihard (L:s = 5:2)	53\65 (978.5 ¢)
Hard (L:s = 3:1)	31\38 (978.9 ¢)
Superhard (L:s = 4:1)	40\49 (979.6 ¢)
Collapsed (L:s = 1:0)	9\11 (981.8 ¢)

11L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 5 small steps, repeating every octave. 11L 5s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 975 ¢ to 981.8 ¢, or from 218.2 ¢ to 225 ¢.

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 11L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
13\16						975.000	225.000	1:1	1.000	Equalized 11L 5s
					74\91	975.824	224.176	6:5	1.200
				61\75		976.000	224.000	5:4	1.250
					109\134	976.119	223.881	9:7	1.286
			48\59			976.271	223.729	4:3	1.333	Supersoft 11L 5s
					131\161	976.398	223.602	11:8	1.375
				83\102		976.471	223.529	7:5	1.400
					118\145	976.552	223.448	10:7	1.429
		35\43				976.744	223.256	3:2	1.500	Soft 11L 5s Kumonga
					127\156	976.923	223.077	11:7	1.571
				92\113		976.991	223.009	8:5	1.600
					149\183	977.049	222.951	13:8	1.625
			57\70			977.143	222.857	5:3	1.667	Semisoft 11L 5s
					136\167	977.246	222.754	12:7	1.714
				79\97		977.320	222.680	7:4	1.750
					101\124	977.419	222.581	9:5	1.800
	22\27					977.778	222.222	2:1	2.000	Basic 11L 5s Scales with tunings softer than this are proper
					97\119	978.151	221.849	9:4	2.250
				75\92		978.261	221.739	7:3	2.333
					128\157	978.344	221.656	12:5	2.400
			53\65			978.462	221.538	5:2	2.500	Semihard 11L 5s Fortune
					137\168	978.571	221.429	13:5	2.600
				84\103		978.641	221.359	8:3	2.667
					115\141	978.723	221.277	11:4	2.750
		31\38				978.947	221.053	3:1	3.000	Hard 11L 5s
					102\125	979.200	220.800	10:3	3.333
				71\87		979.310	220.690	7:2	3.500
					111\136	979.412	220.588	11:3	3.667
			40\49			979.592	220.408	4:1	4.000	Superhard 11L 5s
					89\109	979.817	220.183	9:2	4.500
				49\60		980.000	220.000	5:1	5.000
					58\71	980.282	219.718	6:1	6.000
9\11						981.818	218.182	1:0	→ ∞	Collapsed 11L 5s

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