7L 15s

↖ 6L 14s	↑ 7L 14s	8L 14s ↗
← 6L 15s	7L 15s	8L 15s →
↙ 6L 16s	↓ 7L 16s	8L 16s ↘

Scale structure
Step pattern	LssLssLssLssLssLssLsss sssLssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\22 to 1\7 (163.6 ¢ to 171.4 ¢)
Dark	6\7 to 19\22 (1028.6 ¢ to 1036.4 ¢)
TAMNAMS information
Related to	7L 1s (pine)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	7L 8s
Sister	15L 7s
Daughters	22L 7s, 7L 22s
Neutralized	14L 8s
2-Flought	29L 15s, 7L 37s
Equal tunings
Equalized (L:s = 1:1)	3\22 (163.6 ¢)
Supersoft (L:s = 4:3)	10\73 (164.4 ¢)
Soft (L:s = 3:2)	7\51 (164.7 ¢)
Semisoft (L:s = 5:3)	11\80 (165.0 ¢)
Basic (L:s = 2:1)	4\29 (165.5 ¢)
Semihard (L:s = 5:2)	9\65 (166.2 ¢)
Hard (L:s = 3:1)	5\36 (166.7 ¢)
Superhard (L:s = 4:1)	6\43 (167.4 ¢)
Collapsed (L:s = 1:0)	1\7 (171.4 ¢)
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7L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 15 small steps, repeating every octave. 7L 15s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 163.6 ¢ to 171.4 ¢, or from 1028.6 ¢ to 1036.4 ¢. It is the enharmonic scale of Coendou temperament.

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.

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

Scale tree

Scale tree and tuning spectrum of 7L 15s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\22						163.636	1036.364	1:1	1.000	Equalized 7L 15s
					16\117	164.103	1035.897	6:5	1.200
				13\95		164.211	1035.789	5:4	1.250
					23\168	164.286	1035.714	9:7	1.286
			10\73			164.384	1035.616	4:3	1.333	Supersoft 7L 15s
					27\197	164.467	1035.533	11:8	1.375
				17\124		164.516	1035.484	7:5	1.400
					24\175	164.571	1035.429	10:7	1.429
		7\51				164.706	1035.294	3:2	1.500	Soft 7L 15s
					25\182	164.835	1035.165	11:7	1.571
				18\131		164.885	1035.115	8:5	1.600
					29\211	164.929	1035.071	13:8	1.625
			11\80			165.000	1035.000	5:3	1.667	Semisoft 7L 15s
					26\189	165.079	1034.921	12:7	1.714
				15\109		165.138	1034.862	7:4	1.750
					19\138	165.217	1034.783	9:5	1.800
	4\29					165.517	1034.483	2:1	2.000	Basic 7L 15s Scales with tunings softer than this are proper
					17\123	165.854	1034.146	9:4	2.250
				13\94		165.957	1034.043	7:3	2.333	Coendou
					22\159	166.038	1033.962	12:5	2.400
			9\65			166.154	1033.846	5:2	2.500	Semihard 7L 15s
					23\166	166.265	1033.735	13:5	2.600
				14\101		166.337	1033.663	8:3	2.667
					19\137	166.423	1033.577	11:4	2.750
		5\36				166.667	1033.333	3:1	3.000	Hard 7L 15s
					16\115	166.957	1033.043	10:3	3.333
				11\79		167.089	1032.911	7:2	3.500
					17\122	167.213	1032.787	11:3	3.667
			6\43			167.442	1032.558	4:1	4.000	Superhard 7L 15s
					13\93	167.742	1032.258	9:2	4.500
				7\50		168.000	1032.000	5:1	5.000
					8\57	168.421	1031.579	6:1	6.000
1\7						171.429	1028.571	1:0	→ ∞	Collapsed 7L 15s

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