15L 2s

↖ 14L 1s	↑ 15L 1s	16L 1s ↗
← 14L 2s	15L 2s	16L 2s →
↙ 14L 3s	↓ 15L 3s	16L 3s ↘

Scale structure
Step pattern	LLLLLLLLsLLLLLLLs sLLLLLLLsLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\17 to 8\15 (635.3 ¢ to 640.0 ¢)
Dark	7\15 to 8\17 (560.0 ¢ to 564.7 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	4:1 to 5:1
Related MOS scales
Parent	2L 13s
Sister	2L 15s
Daughters	17L 15s, 15L 17s
Neutralized	13L 4s
2-Flought	32L 2s, 15L 19s
Equal tunings
Equalized (L:s = 1:1)	9\17 (635.3 ¢)
Supersoft (L:s = 4:3)	35\66 (636.4 ¢)
Soft (L:s = 3:2)	26\49 (636.7 ¢)
Semisoft (L:s = 5:3)	43\81 (637.0 ¢)
Basic (L:s = 2:1)	17\32 (637.5 ¢)
Semihard (L:s = 5:2)	42\79 (638.0 ¢)
Hard (L:s = 3:1)	25\47 (638.3 ¢)
Superhard (L:s = 4:1)	33\62 (638.7 ¢)
Collapsed (L:s = 1:0)	8\15 (640.0 ¢)
View • Talk • Edit

15L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 2 small steps, repeating every octave. 15L 2s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 635.3 ¢ to 640 ¢, or from 560 ¢ to 564.7 ¢.

Modes

Modes of 15L 2s

UDP	Cyclic order	Step pattern
16|0	1	LLLLLLLLsLLLLLLLs
15|1	10	LLLLLLLsLLLLLLLLs
14|2	2	LLLLLLLsLLLLLLLsL
13|3	11	LLLLLLsLLLLLLLLsL
12|4	3	LLLLLLsLLLLLLLsLL
11|5	12	LLLLLsLLLLLLLLsLL
10|6	4	LLLLLsLLLLLLLsLLL
9|7	13	LLLLsLLLLLLLLsLLL
8|8	5	LLLLsLLLLLLLsLLLL
7|9	14	LLLsLLLLLLLLsLLLL
6|10	6	LLLsLLLLLLLsLLLLL
5|11	15	LLsLLLLLLLLsLLLLL
4|12	7	LLsLLLLLLLsLLLLLL
3|13	16	LsLLLLLLLLsLLLLLL
2|14	8	LsLLLLLLLsLLLLLLL
1|15	17	sLLLLLLLLsLLLLLLL
0|16	9	sLLLLLLLsLLLLLLLL

Tuning spectrum

generator							L	s	L/s	gen (cents)	comment
7\15							1	0		560.000
						57\122	8	1	8.000	560.656
					50\107		7	1	7.000	560.748
						43\92	6	1	6.000	560.870
				36\77			5	1	5.000	561.039
					65\139		9	2	4.500	561.151
			29\62				4	1	4.000	561.290
				51\109			7	2	3.500	561.468
					73\156		10	3	3.333	561.538
		22\47					3	1	3.000	561.702
				59\126			8	3	2.667	561.905
			37\79				5	2	2.500	562.025
				52\111			7	3	2.333	562.162
					67\143		9	4	2.250	562.238
	15\32						2	1	2.000	562.500
					68\145		9	5	1.800	562.759
				53\113			7	4	1.750	562.832
			38\81				5	3	1.667	562.963
				61\130			8	5	1.600	563.077
		23\49					3	2	1.500	563.265
				54\115			7	5	1.400	563.478
			31\66				4	3	1.333	563.636
					70\149		9	7	1.286	563.758
				39\83			5	4	1.250	563.855
						47\100	6	5	1.200	564.000
					55\117		7	6	1.167	564.103
						63\134	8	7	1.143	564.179
8\17							1	1	1.000	564.706