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
Related to	7L 1s (pine)
With tunings	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 ¢)
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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

Tuning spectrum

generator									L	s	L/s	gen (cents)	comment
2\15									1	0		160.000
								19\142	9	1	9.000	160.563
							17\127		8	1	8.000	160.630
						15\112			7	1	7.000	160.714
					13\97				6	1	6.000	160.825
						24\179			11	2	5.500	160.894
				11\82					5	1	5.000	160.976
					20\149				9	2	4.500	161.074
			9\67						4	1	4.000	161.194
				16\119					7	2	3.500	161.345
					23\171				10	3	3.333	161.404
		7\52							3	1	3.000	161.538
				19\141					8	3	2.667	161.702
			12\89						5	2	2.500	161.798
				17\126					7	3	2.333	161.905
					22\163				9	4	2.250	161.963
	5\37								2	1	2.000	162.162
					23\170				9	5	1.800	162.353
				18\133					7	4	1.750	162.406
			13\96						5	3	1.667	162.500
				21\155					8	5	1.600	162.581
		8\59							3	2	1.500	162.712
				19\140					7	5	1.400	162.857
			11\81						4	3	1.333	162.963
				14\103					5	4	1.250	163.107
					17\125				6	5	1.200	163.200
						20\147			7	6	1.167	163.265
							23\169		8	7	1.143	163.314
								26\191	9	8	1.125	163.351
3\22									1	1	1.000	163.636