15L 7s

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

┌╥╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║│║║│║║│║║│║║││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLsLLsLLsLLsLLs sLLsLLsLLsLLsLLsLLsLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	19\22 to 13\15 (1036.4¢ to 1040.0¢)
Dark	2\15 to 3\22 (160.0¢ to 163.6¢)
TAMNAMS information
Descends from	7L 1s (pine)
Ancestor's step ratio range	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	7L 8s
Sister	7L 15s
Daughters	22L 15s, 15L 22s
Neutralized	8L 14s
2-Flought	37L 7s, 15L 29s
Equal tunings
Equalized (L:s = 1:1)	19\22 (1036.4¢)
Supersoft (L:s = 4:3)	70\81 (1037.0¢)
Soft (L:s = 3:2)	51\59 (1037.3¢)
Semisoft (L:s = 5:3)	83\96 (1037.5¢)
Basic (L:s = 2:1)	32\37 (1037.8¢)
Semihard (L:s = 5:2)	77\89 (1038.2¢)
Hard (L:s = 3:1)	45\52 (1038.5¢)
Superhard (L:s = 4:1)	58\67 (1038.8¢)
Collapsed (L:s = 1:0)	13\15 (1040.0¢)

15L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 7 small steps, repeating every octave. 15L 7s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 1036.4¢ to 1040¢, or from 160¢ to 163.6¢.

Modes

Modes of 15L 7s

UDP	Cyclic order	Step pattern
21|0	1	LLLsLLsLLsLLsLLsLLsLLs
20|1	20	LLsLLLsLLsLLsLLsLLsLLs
19|2	17	LLsLLsLLLsLLsLLsLLsLLs
18|3	14	LLsLLsLLsLLLsLLsLLsLLs
17|4	11	LLsLLsLLsLLsLLLsLLsLLs
16|5	8	LLsLLsLLsLLsLLsLLLsLLs
15|6	5	LLsLLsLLsLLsLLsLLsLLLs
14|7	2	LLsLLsLLsLLsLLsLLsLLsL
13|8	21	LsLLLsLLsLLsLLsLLsLLsL
12|9	18	LsLLsLLLsLLsLLsLLsLLsL
11|10	15	LsLLsLLsLLLsLLsLLsLLsL
10|11	12	LsLLsLLsLLsLLLsLLsLLsL
9|12	9	LsLLsLLsLLsLLsLLLsLLsL
8|13	6	LsLLsLLsLLsLLsLLsLLLsL
7|14	3	LsLLsLLsLLsLLsLLsLLsLL
6|15	22	sLLLsLLsLLsLLsLLsLLsLL
5|16	19	sLLsLLLsLLsLLsLLsLLsLL
4|17	16	sLLsLLsLLLsLLsLLsLLsLL
3|18	13	sLLsLLsLLsLLLsLLsLLsLL
2|19	10	sLLsLLsLLsLLsLLLsLLsLL
1|20	7	sLLsLLsLLsLLsLLsLLLsLL
0|21	4	sLLsLLsLLsLLsLLsLLsLLL

Scale tree

Scale Tree and Tuning Spectrum of 15L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
19\22						1036.364	163.636	1:1	1.000	Equalized 15L 7s
					108\125	1036.800	163.200	6:5	1.200
				89\103		1036.893	163.107	5:4	1.250
					159\184	1036.957	163.043	9:7	1.286
			70\81			1037.037	162.963	4:3	1.333	Supersoft 15L 7s
					191\221	1037.104	162.896	11:8	1.375
				121\140		1037.143	162.857	7:5	1.400
					172\199	1037.186	162.814	10:7	1.429
		51\59				1037.288	162.712	3:2	1.500	Soft 15L 7s
					185\214	1037.383	162.617	11:7	1.571
				134\155		1037.419	162.581	8:5	1.600
					217\251	1037.450	162.550	13:8	1.625
			83\96			1037.500	162.500	5:3	1.667	Semisoft 15L 7s
					198\229	1037.555	162.445	12:7	1.714
				115\133		1037.594	162.406	7:4	1.750
					147\170	1037.647	162.353	9:5	1.800
	32\37					1037.838	162.162	2:1	2.000	Basic 15L 7s Scales with tunings softer than this are proper
					141\163	1038.037	161.963	9:4	2.250
				109\126		1038.095	161.905	7:3	2.333
					186\215	1038.140	161.860	12:5	2.400
			77\89			1038.202	161.798	5:2	2.500	Semihard 15L 7s
					199\230	1038.261	161.739	13:5	2.600
				122\141		1038.298	161.702	8:3	2.667
					167\193	1038.342	161.658	11:4	2.750
		45\52				1038.462	161.538	3:1	3.000	Hard 15L 7s
					148\171	1038.596	161.404	10:3	3.333
				103\119		1038.655	161.345	7:2	3.500
					161\186	1038.710	161.290	11:3	3.667
			58\67			1038.806	161.194	4:1	4.000	Superhard 15L 7s
					129\149	1038.926	161.074	9:2	4.500
				71\82		1039.024	160.976	5:1	5.000
					84\97	1039.175	160.825	6:1	6.000
13\15						1040.000	160.000	1:0	→ ∞	Collapsed 15L 7s

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