5L 19s

↖ 4L 18s	↑ 5L 18s	6L 18s ↗
← 4L 19s	5L 19s	6L 19s →
↙ 4L 20s	↓ 5L 20s	6L 20s ↘

┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║│││║││││║││││║││││║│││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLssssLssssLssssLssss ssssLssssLssssLssssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	19\24 to 4\5 (950.0 ¢ to 960.0 ¢)
Dark	1\5 to 5\24 (240.0 ¢ to 250.0 ¢)
TAMNAMS information
Related to	5L 4s (semiquartal)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	5L 14s
Sister	19L 5s
Daughters	24L 5s, 5L 24s
Neutralized	10L 14s
2-Flought	29L 19s, 5L 43s
Equal tunings
Equalized (L:s = 1:1)	19\24 (950.0 ¢)
Supersoft (L:s = 4:3)	61\77 (950.6 ¢)
Soft (L:s = 3:2)	42\53 (950.9 ¢)
Semisoft (L:s = 5:3)	65\82 (951.2 ¢)
Basic (L:s = 2:1)	23\29 (951.7 ¢)
Semihard (L:s = 5:2)	50\63 (952.4 ¢)
Hard (L:s = 3:1)	27\34 (952.9 ¢)
Superhard (L:s = 4:1)	31\39 (953.8 ¢)
Collapsed (L:s = 1:0)	4\5 (960.0 ¢)

5L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 19 small steps, repeating every octave. 5L 19s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 950 ¢ to 960 ¢, or from 240 ¢ to 250 ¢.

Modes

Modes of 5L 19s

UDP	Cyclic order	Step pattern
23|0	1	LsssLssssLssssLssssLssss
22|1	20	LssssLsssLssssLssssLssss
21|2	15	LssssLssssLsssLssssLssss
20|3	10	LssssLssssLssssLsssLssss
19|4	5	LssssLssssLssssLssssLsss
18|5	24	sLsssLssssLssssLssssLsss
17|6	19	sLssssLsssLssssLssssLsss
16|7	14	sLssssLssssLsssLssssLsss
15|8	9	sLssssLssssLssssLsssLsss
14|9	4	sLssssLssssLssssLssssLss
13|10	23	ssLsssLssssLssssLssssLss
12|11	18	ssLssssLsssLssssLssssLss
11|12	13	ssLssssLssssLsssLssssLss
10|13	8	ssLssssLssssLssssLsssLss
9|14	3	ssLssssLssssLssssLssssLs
8|15	22	sssLsssLssssLssssLssssLs
7|16	17	sssLssssLsssLssssLssssLs
6|17	12	sssLssssLssssLsssLssssLs
5|18	7	sssLssssLssssLssssLsssLs
4|19	2	sssLssssLssssLssssLssssL
3|20	21	ssssLsssLssssLssssLssssL
2|21	16	ssssLssssLsssLssssLssssL
1|22	11	ssssLssssLssssLsssLssssL
0|23	6	ssssLssssLssssLssssLsssL

Intervals

Intervals of 5L 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 50.0 ¢
	Major 1-mosstep	M1ms	L	50.0 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 100.0 ¢
	Major 2-mosstep	M2ms	L + s	100.0 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 150.0 ¢
	Major 3-mosstep	M3ms	L + 2s	150.0 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 200.0 ¢
	Major 4-mosstep	M4ms	L + 3s	200.0 ¢ to 240.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	240.0 ¢ to 250.0 ¢
	Augmented 5-mosstep	A5ms	2L + 3s	250.0 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 300.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	300.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	240.0 ¢ to 350.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	350.0 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	240.0 ¢ to 400.0 ¢
	Major 8-mosstep	M8ms	2L + 6s	400.0 ¢ to 480.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	240.0 ¢ to 450.0 ¢
	Major 9-mosstep	M9ms	2L + 7s	450.0 ¢ to 480.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	480.0 ¢ to 500.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	500.0 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	480.0 ¢ to 550.0 ¢
	Major 11-mosstep	M11ms	3L + 8s	550.0 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	480.0 ¢ to 600.0 ¢
	Major 12-mosstep	M12ms	3L + 9s	600.0 ¢ to 720.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	480.0 ¢ to 650.0 ¢
	Major 13-mosstep	M13ms	3L + 10s	650.0 ¢ to 720.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	2L + 12s	480.0 ¢ to 700.0 ¢
	Major 14-mosstep	M14ms	3L + 11s	700.0 ¢ to 720.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	720.0 ¢ to 750.0 ¢
	Major 15-mosstep	M15ms	4L + 11s	750.0 ¢ to 960.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	720.0 ¢ to 800.0 ¢
	Major 16-mosstep	M16ms	4L + 12s	800.0 ¢ to 960.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	720.0 ¢ to 850.0 ¢
	Major 17-mosstep	M17ms	4L + 13s	850.0 ¢ to 960.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	720.0 ¢ to 900.0 ¢
	Major 18-mosstep	M18ms	4L + 14s	900.0 ¢ to 960.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	3L + 16s	720.0 ¢ to 950.0 ¢
	Perfect 19-mosstep	P19ms	4L + 15s	950.0 ¢ to 960.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	4L + 16s	960.0 ¢ to 1000.0 ¢
	Major 20-mosstep	M20ms	5L + 15s	1000.0 ¢ to 1200.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	4L + 17s	960.0 ¢ to 1050.0 ¢
	Major 21-mosstep	M21ms	5L + 16s	1050.0 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	960.0 ¢ to 1100.0 ¢
	Major 22-mosstep	M22ms	5L + 17s	1100.0 ¢ to 1200.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	4L + 19s	960.0 ¢ to 1150.0 ¢
	Major 23-mosstep	M23ms	5L + 18s	1150.0 ¢ to 1200.0 ¢
24-mosstep	Perfect 24-mosstep	P24ms	5L + 19s	1200.0 ¢

Scale tree

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