6L 13s

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