8L 15s

↖ 7L 14s	↑ 8L 14s	9L 14s ↗
← 7L 15s	8L 15s	9L 15s →
↙ 7L 16s	↓ 8L 16s	9L 16s ↘

┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║││║││║│││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLssLssLssLssLssLss ssLssLssLssLssLssLssLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	20\23 to 7\8 (1043.5 ¢ to 1050.0 ¢)
Dark	1\8 to 3\23 (150.0 ¢ to 156.5 ¢)
TAMNAMS information
Related to	7L 1s (pine)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	8L 7s
Sister	15L 8s
Daughters	23L 8s, 8L 23s
Neutralized	16L 7s
2-Flought	31L 15s, 8L 38s
Equal tunings
Equalized (L:s = 1:1)	20\23 (1043.5 ¢)
Supersoft (L:s = 4:3)	67\77 (1044.2 ¢)
Soft (L:s = 3:2)	47\54 (1044.4 ¢)
Semisoft (L:s = 5:3)	74\85 (1044.7 ¢)
Basic (L:s = 2:1)	27\31 (1045.2 ¢)
Semihard (L:s = 5:2)	61\70 (1045.7 ¢)
Hard (L:s = 3:1)	34\39 (1046.2 ¢)
Superhard (L:s = 4:1)	41\47 (1046.8 ¢)
Collapsed (L:s = 1:0)	7\8 (1050.0 ¢)

8L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 15 small steps, repeating every octave. 8L 15s is a grandchild scale of 7L 1s, expanding it by 15 tones. Generators that produce this scale range from 1043.5 ¢ to 1050 ¢, or from 150 ¢ to 156.5 ¢.

Modes

Modes of 8L 15s

UDP	Cyclic order	Step pattern
22|0	1	LsLssLssLssLssLssLssLss
21|1	21	LssLsLssLssLssLssLssLss
20|2	18	LssLssLsLssLssLssLssLss
19|3	15	LssLssLssLsLssLssLssLss
18|4	12	LssLssLssLssLsLssLssLss
17|5	9	LssLssLssLssLssLsLssLss
16|6	6	LssLssLssLssLssLssLsLss
15|7	3	LssLssLssLssLssLssLssLs
14|8	23	sLsLssLssLssLssLssLssLs
13|9	20	sLssLsLssLssLssLssLssLs
12|10	17	sLssLssLsLssLssLssLssLs
11|11	14	sLssLssLssLsLssLssLssLs
10|12	11	sLssLssLssLssLsLssLssLs
9|13	8	sLssLssLssLssLssLsLssLs
8|14	5	sLssLssLssLssLssLssLsLs
7|15	2	sLssLssLssLssLssLssLssL
6|16	22	ssLsLssLssLssLssLssLssL
5|17	19	ssLssLsLssLssLssLssLssL
4|18	16	ssLssLssLsLssLssLssLssL
3|19	13	ssLssLssLssLsLssLssLssL
2|20	10	ssLssLssLssLssLsLssLssL
1|21	7	ssLssLssLssLssLssLsLssL
0|22	4	ssLssLssLssLssLssLssLsL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
1\8								1	0		150.000
							10\79	8	1	8.000	151.899
						9\71		7	1	7.000	152.113
							17\134	13	2	6.500	152.239
					8\63			6	1	6.000	152.381
						15\118		11	2	5.500	152.542
				7\55				5	1	5.000	152.727
						20\157		14	3	4.667	152.866
					13\102			9	2	4.500	152.941
						19\149		13	3	4.333	153.020
			6\47					4	1	4.000	153.191
					17\133			11	3	3.667	153.383
				11\86				7	2	3.500	153.488
					16\125			10	3	3.333	153.600
						21\164		13	4	3.250	153.659
		5\39						3	1	3.000	153.846
					19\148			11	4	2.750	154.054
				14\109				8	3	2.667	154.128
			9\70					5	2	2.500	154.286
				13\101				7	3	2.333	154.455
					17\132			9	4	2.250	154.545
						21\163		11	5	2.200	154.601
	4\31							2	1	2.000	154.839
					19\147			9	5	1.800	155.102
				15\116				7	4	1.750	155.172
			11\85					5	3	1.667	155.294
				18\139				8	5	1.600	155.396
		7\54						3	2	1.500	155.556
				17\131				7	5	1.400	155.725
			10\77					4	3	1.333	155.844
				13\100				5	4	1.250	156.000
					16\123			6	5	1.200	156.098
						19\146		7	6	1.167	156.164
							22\169	8	7	1.143	156.213
3\23								1	1	1.000	156.522