6L 19s

6L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 19 small steps, repeating every octave. 6L 19s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 192 ¢ to 200 ¢, or from 1000 ¢ to 1008 ¢.

↖ 5L 18s	↑ 6L 18s	7L 18s ↗
← 5L 19s	6L 19s	7L 19s →
↙ 5L 20s	↓ 6L 20s	7L 20s ↘

Scale structure
Step pattern	LsssLsssLsssLsssLsssLssss ssssLsssLsssLsssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\25 to 1\6 (192.0 ¢ to 200.0 ¢)
Dark	5\6 to 21\25 (1000.0 ¢ to 1008.0 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	6L 13s
Sister	19L 6s
Daughters	25L 6s, 6L 25s
Neutralized	12L 13s
2-Flought	31L 19s, 6L 44s
Equal tunings
Equalized (L:s = 1:1)	4\25 (192.0 ¢)
Supersoft (L:s = 4:3)	13\81 (192.6 ¢)
Soft (L:s = 3:2)	9\56 (192.9 ¢)
Semisoft (L:s = 5:3)	14\87 (193.1 ¢)
Basic (L:s = 2:1)	5\31 (193.5 ¢)
Semihard (L:s = 5:2)	11\68 (194.1 ¢)
Hard (L:s = 3:1)	6\37 (194.6 ¢)
Superhard (L:s = 4:1)	7\43 (195.3 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
View • Talk • Edit

This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).

Modes

Modes of 6L 19s

UDP	Cyclic order	Step pattern
24|0	1	LsssLsssLsssLsssLsssLssss
23|1	5	LsssLsssLsssLsssLssssLsss
22|2	9	LsssLsssLsssLssssLsssLsss
21|3	13	LsssLsssLssssLsssLsssLsss
20|4	17	LsssLssssLsssLsssLsssLsss
19|5	21	LssssLsssLsssLsssLsssLsss
18|6	25	sLsssLsssLsssLsssLsssLsss
17|7	4	sLsssLsssLsssLsssLssssLss
16|8	8	sLsssLsssLsssLssssLsssLss
15|9	12	sLsssLsssLssssLsssLsssLss
14|10	16	sLsssLssssLsssLsssLsssLss
13|11	20	sLssssLsssLsssLsssLsssLss
12|12	24	ssLsssLsssLsssLsssLsssLss
11|13	3	ssLsssLsssLsssLsssLssssLs
10|14	7	ssLsssLsssLsssLssssLsssLs
9|15	11	ssLsssLsssLssssLsssLsssLs
8|16	15	ssLsssLssssLsssLsssLsssLs
7|17	19	ssLssssLsssLsssLsssLsssLs
6|18	23	sssLsssLsssLsssLsssLsssLs
5|19	2	sssLsssLsssLsssLsssLssssL
4|20	6	sssLsssLsssLsssLssssLsssL
3|21	10	sssLsssLsssLssssLsssLsssL
2|22	14	sssLsssLssssLsssLsssLsssL
1|23	18	sssLssssLsssLsssLsssLsssL
0|24	22	ssssLsssLsssLsssLsssLsssL

Scale tree

1/6					200
				8/49	195.918
			7/43		195.349
				13/80	195
					194.716
		6/37			194.596
					194.336
				17/105	194.286
					194.238
			11/68		194.118
				16/99	193.939
	5/31				193.548
				19/118	193.22
					193.1955
			14/87		193.103
					193.033
				23/143	193.007
					192.964
		9/56			192.857
				22/137	192.701
			13/81		192.593
				17/106	192.453
4/25					192