19L 5s

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

┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║║│║║║││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLLsLLLLsLLLs sLLLsLLLLsLLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\24 to 4\19 (250.0 ¢ to 252.6 ¢)
Dark	15\19 to 19\24 (947.4 ¢ to 950.0 ¢)
TAMNAMS information
Related to	5L 4s (semiquartal)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	5L 14s
Sister	5L 19s
Daughters	24L 19s, 19L 24s
Neutralized	14L 10s
2-Flought	43L 5s, 19L 29s
Equal tunings
Equalized (L:s = 1:1)	5\24 (250.0 ¢)
Supersoft (L:s = 4:3)	19\91 (250.5 ¢)
Soft (L:s = 3:2)	14\67 (250.7 ¢)
Semisoft (L:s = 5:3)	23\110 (250.9 ¢)
Basic (L:s = 2:1)	9\43 (251.2 ¢)
Semihard (L:s = 5:2)	22\105 (251.4 ¢)
Hard (L:s = 3:1)	13\62 (251.6 ¢)
Superhard (L:s = 4:1)	17\81 (251.9 ¢)
Collapsed (L:s = 1:0)	4\19 (252.6 ¢)

19L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 5 small steps, repeating every octave. 19L 5s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 250 ¢ to 252.6 ¢, or from 947.4 ¢ to 950 ¢.

Modes

Modes of 19L 5s

UDP	Cyclic order	Step pattern
23|0	1	LLLLsLLLLsLLLLsLLLLsLLLs
22|1	6	LLLLsLLLLsLLLLsLLLsLLLLs
21|2	11	LLLLsLLLLsLLLsLLLLsLLLLs
20|3	16	LLLLsLLLsLLLLsLLLLsLLLLs
19|4	21	LLLsLLLLsLLLLsLLLLsLLLLs
18|5	2	LLLsLLLLsLLLLsLLLLsLLLsL
17|6	7	LLLsLLLLsLLLLsLLLsLLLLsL
16|7	12	LLLsLLLLsLLLsLLLLsLLLLsL
15|8	17	LLLsLLLsLLLLsLLLLsLLLLsL
14|9	22	LLsLLLLsLLLLsLLLLsLLLLsL
13|10	3	LLsLLLLsLLLLsLLLLsLLLsLL
12|11	8	LLsLLLLsLLLLsLLLsLLLLsLL
11|12	13	LLsLLLLsLLLsLLLLsLLLLsLL
10|13	18	LLsLLLsLLLLsLLLLsLLLLsLL
9|14	23	LsLLLLsLLLLsLLLLsLLLLsLL
8|15	4	LsLLLLsLLLLsLLLLsLLLsLLL
7|16	9	LsLLLLsLLLLsLLLsLLLLsLLL
6|17	14	LsLLLLsLLLsLLLLsLLLLsLLL
5|18	19	LsLLLsLLLLsLLLLsLLLLsLLL
4|19	24	sLLLLsLLLLsLLLLsLLLLsLLL
3|20	5	sLLLLsLLLLsLLLLsLLLsLLLL
2|21	10	sLLLLsLLLLsLLLsLLLLsLLLL
1|22	15	sLLLLsLLLsLLLLsLLLLsLLLL
0|23	20	sLLLsLLLLsLLLLsLLLLsLLLL

Intervals

Intervals of 19L 5s

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 63.2 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	63.2 ¢ to 100.0 ¢
	Major 2-mosstep	M2ms	2L	100.0 ¢ to 126.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	126.3 ¢ to 150.0 ¢
	Major 3-mosstep	M3ms	3L	150.0 ¢ to 189.5 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	189.5 ¢ to 200.0 ¢
	Major 4-mosstep	M4ms	4L	200.0 ¢ to 252.6 ¢
5-mosstep	Diminished 5-mosstep	d5ms	3L + 2s	189.5 ¢ to 250.0 ¢
	Perfect 5-mosstep	P5ms	4L + s	250.0 ¢ to 252.6 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	252.6 ¢ to 300.0 ¢
	Major 6-mosstep	M6ms	5L + s	300.0 ¢ to 315.8 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	315.8 ¢ to 350.0 ¢
	Major 7-mosstep	M7ms	6L + s	350.0 ¢ to 378.9 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	378.9 ¢ to 400.0 ¢
	Major 8-mosstep	M8ms	7L + s	400.0 ¢ to 442.1 ¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	442.1 ¢ to 450.0 ¢
	Major 9-mosstep	M9ms	8L + s	450.0 ¢ to 505.3 ¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	442.1 ¢ to 500.0 ¢
	Major 10-mosstep	M10ms	8L + 2s	500.0 ¢ to 505.3 ¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	505.3 ¢ to 550.0 ¢
	Major 11-mosstep	M11ms	9L + 2s	550.0 ¢ to 568.4 ¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	568.4 ¢ to 600.0 ¢
	Major 12-mosstep	M12ms	10L + 2s	600.0 ¢ to 631.6 ¢
13-mosstep	Minor 13-mosstep	m13ms	10L + 3s	631.6 ¢ to 650.0 ¢
	Major 13-mosstep	M13ms	11L + 2s	650.0 ¢ to 694.7 ¢
14-mosstep	Minor 14-mosstep	m14ms	11L + 3s	694.7 ¢ to 700.0 ¢
	Major 14-mosstep	M14ms	12L + 2s	700.0 ¢ to 757.9 ¢
15-mosstep	Minor 15-mosstep	m15ms	11L + 4s	694.7 ¢ to 750.0 ¢
	Major 15-mosstep	M15ms	12L + 3s	750.0 ¢ to 757.9 ¢
16-mosstep	Minor 16-mosstep	m16ms	12L + 4s	757.9 ¢ to 800.0 ¢
	Major 16-mosstep	M16ms	13L + 3s	800.0 ¢ to 821.1 ¢
17-mosstep	Minor 17-mosstep	m17ms	13L + 4s	821.1 ¢ to 850.0 ¢
	Major 17-mosstep	M17ms	14L + 3s	850.0 ¢ to 884.2 ¢
18-mosstep	Minor 18-mosstep	m18ms	14L + 4s	884.2 ¢ to 900.0 ¢
	Major 18-mosstep	M18ms	15L + 3s	900.0 ¢ to 947.4 ¢
19-mosstep	Perfect 19-mosstep	P19ms	15L + 4s	947.4 ¢ to 950.0 ¢
	Augmented 19-mosstep	A19ms	16L + 3s	950.0 ¢ to 1010.5 ¢
20-mosstep	Minor 20-mosstep	m20ms	15L + 5s	947.4 ¢ to 1000.0 ¢
	Major 20-mosstep	M20ms	16L + 4s	1000.0 ¢ to 1010.5 ¢
21-mosstep	Minor 21-mosstep	m21ms	16L + 5s	1010.5 ¢ to 1050.0 ¢
	Major 21-mosstep	M21ms	17L + 4s	1050.0 ¢ to 1073.7 ¢
22-mosstep	Minor 22-mosstep	m22ms	17L + 5s	1073.7 ¢ to 1100.0 ¢
	Major 22-mosstep	M22ms	18L + 4s	1100.0 ¢ to 1136.8 ¢
23-mosstep	Minor 23-mosstep	m23ms	18L + 5s	1136.8 ¢ to 1150.0 ¢
	Major 23-mosstep	M23ms	19L + 4s	1150.0 ¢ to 1200.0 ¢
24-mosstep	Perfect 24-mosstep	P24ms	19L + 5s	1200.0 ¢

Scale tree

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