6L 13s

↖ 5L 12s	↑ 6L 12s	7L 12s ↗
← 5L 13s	6L 13s	7L 13s →
↙ 5L 14s	↓ 6L 14s	7L 14s ↘

┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││║││║││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLssLssLsss sssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\19 to 1\6 (189.5 ¢ to 200.0 ¢)
Dark	5\6 to 16\19 (1000.0 ¢ to 1010.5 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	6L 7s
Sister	13L 6s
Daughters	19L 6s, 6L 19s
Neutralized	12L 7s
2-Flought	25L 13s, 6L 32s
Equal tunings
Equalized (L:s = 1:1)	3\19 (189.5 ¢)
Supersoft (L:s = 4:3)	10\63 (190.5 ¢)
Soft (L:s = 3:2)	7\44 (190.9 ¢)
Semisoft (L:s = 5:3)	11\69 (191.3 ¢)
Basic (L:s = 2:1)	4\25 (192.0 ¢)
Semihard (L:s = 5:2)	9\56 (192.9 ¢)
Hard (L:s = 3:1)	5\31 (193.5 ¢)
Superhard (L:s = 4:1)	6\37 (194.6 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)

6L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 13 small steps, repeating every octave. 6L 13s is a grandchild scale of 6L 1s, expanding it by 12 tones. Generators that produce this scale range from 189.5 ¢ to 200 ¢, or from 1000 ¢ to 1010.5 ¢. This MOS divides its small steps 2-2-2-2-2-3 like the 13edo hexatonic scale. Its generator is a "neutral" whole tone between 3/19edo (189.474) and 1/6edo (200 cents), making it index 2 in meantone.

Modes

Modes of 6L 13s

UDP	Cyclic order	Step pattern
18|0	1	LssLssLssLssLssLsss
17|1	4	LssLssLssLssLsssLss
16|2	7	LssLssLssLsssLssLss
15|3	10	LssLssLsssLssLssLss
14|4	13	LssLsssLssLssLssLss
13|5	16	LsssLssLssLssLssLss
12|6	19	sLssLssLssLssLssLss
11|7	3	sLssLssLssLssLsssLs
10|8	6	sLssLssLssLsssLssLs
9|9	9	sLssLssLsssLssLssLs
8|10	12	sLssLsssLssLssLssLs
7|11	15	sLsssLssLssLssLssLs
6|12	18	ssLssLssLssLssLssLs
5|13	2	ssLssLssLssLssLsssL
4|14	5	ssLssLssLssLsssLssL
3|15	8	ssLssLssLsssLssLssL
2|16	11	ssLssLsssLssLssLssL
1|17	14	ssLsssLssLssLssLssL
0|18	17	sssLssLssLssLssLssL

Tuning spectrum

1/6					200
				7/43	195.349
			6/37		194.595
				11/68	194.118
					193.7205
		5/31			193.548
					193.176
				14/87	193.103
					193.033
			9/56		192.857
				13/81	192.592
	4/25				192
				15/94	191.489
					191.45
			11/69		191.304
					191.193
				18/113	191.15
					191.081
		7/44			190.909
				17/107	190.654
			10/63		190.476
				13/82	190.244
3/19					189.474