6L 19s

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↙ 5L 20s	↓ 6L 20s	7L 20s ↘

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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 ¢)

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 ¢.

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

Intervals

Intervals of 6L 19s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 48.0 ¢
	Major 1-mosstep	M1ms	L	48.0 ¢ to 200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 96.0 ¢
	Major 2-mosstep	M2ms	L + s	96.0 ¢ to 200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 144.0 ¢
	Major 3-mosstep	M3ms	L + 2s	144.0 ¢ to 200.0 ¢
4-mosstep	Diminished 4-mosstep	d4ms	4s	0.0 ¢ to 192.0 ¢
	Perfect 4-mosstep	P4ms	L + 3s	192.0 ¢ to 200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	200.0 ¢ to 240.0 ¢
	Major 5-mosstep	M5ms	2L + 3s	240.0 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	200.0 ¢ to 288.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	288.0 ¢ to 400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	200.0 ¢ to 336.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	336.0 ¢ to 400.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	200.0 ¢ to 384.0 ¢
	Major 8-mosstep	M8ms	2L + 6s	384.0 ¢ to 400.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	400.0 ¢ to 432.0 ¢
	Major 9-mosstep	M9ms	3L + 6s	432.0 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	400.0 ¢ to 480.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	480.0 ¢ to 600.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	400.0 ¢ to 528.0 ¢
	Major 11-mosstep	M11ms	3L + 8s	528.0 ¢ to 600.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	400.0 ¢ to 576.0 ¢
	Major 12-mosstep	M12ms	3L + 9s	576.0 ¢ to 600.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	3L + 10s	600.0 ¢ to 624.0 ¢
	Major 13-mosstep	M13ms	4L + 9s	624.0 ¢ to 800.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	600.0 ¢ to 672.0 ¢
	Major 14-mosstep	M14ms	4L + 10s	672.0 ¢ to 800.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	600.0 ¢ to 720.0 ¢
	Major 15-mosstep	M15ms	4L + 11s	720.0 ¢ to 800.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	600.0 ¢ to 768.0 ¢
	Major 16-mosstep	M16ms	4L + 12s	768.0 ¢ to 800.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	4L + 13s	800.0 ¢ to 816.0 ¢
	Major 17-mosstep	M17ms	5L + 12s	816.0 ¢ to 1000.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	4L + 14s	800.0 ¢ to 864.0 ¢
	Major 18-mosstep	M18ms	5L + 13s	864.0 ¢ to 1000.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	4L + 15s	800.0 ¢ to 912.0 ¢
	Major 19-mosstep	M19ms	5L + 14s	912.0 ¢ to 1000.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	4L + 16s	800.0 ¢ to 960.0 ¢
	Major 20-mosstep	M20ms	5L + 15s	960.0 ¢ to 1000.0 ¢
21-mosstep	Perfect 21-mosstep	P21ms	5L + 16s	1000.0 ¢ to 1008.0 ¢
	Augmented 21-mosstep	A21ms	6L + 15s	1008.0 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	5L + 17s	1000.0 ¢ to 1056.0 ¢
	Major 22-mosstep	M22ms	6L + 16s	1056.0 ¢ to 1200.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	5L + 18s	1000.0 ¢ to 1104.0 ¢
	Major 23-mosstep	M23ms	6L + 17s	1104.0 ¢ to 1200.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	5L + 19s	1000.0 ¢ to 1152.0 ¢
	Major 24-mosstep	M24ms	6L + 18s	1152.0 ¢ to 1200.0 ¢
25-mosstep	Perfect 25-mosstep	P25ms	6L + 19s	1200.0 ¢