19L 7s

↖ 18L 6s	↑ 19L 6s	20L 6s ↗
← 18L 7s	19L 7s	20L 7s →
↙ 18L 8s	↓ 19L 8s	20L 8s ↘

┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║│║║║│║║║│║║││ ││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLLsLLsLLLsLLLsLLs sLLsLLLsLLLsLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	15\26 to 11\19 (692.3 ¢ to 694.7 ¢)
Dark	8\19 to 11\26 (505.3 ¢ to 507.7 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	4:3 to 3:2 (parasoft)
Related MOS scales
Parent	7L 12s
Sister	7L 19s
Daughters	26L 19s, 19L 26s
Neutralized	12L 14s
2-Flought	45L 7s, 19L 33s
Equal tunings
Equalized (L:s = 1:1)	15\26 (692.3 ¢)
Supersoft (L:s = 4:3)	56\97 (692.8 ¢)
Soft (L:s = 3:2)	41\71 (693.0 ¢)
Semisoft (L:s = 5:3)	67\116 (693.1 ¢)
Basic (L:s = 2:1)	26\45 (693.3 ¢)
Semihard (L:s = 5:2)	63\109 (693.6 ¢)
Hard (L:s = 3:1)	37\64 (693.8 ¢)
Superhard (L:s = 4:1)	48\83 (694.0 ¢)
Collapsed (L:s = 1:0)	11\19 (694.7 ¢)

19L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 7 small steps, repeating every octave. 19L 7s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 692.3 ¢ to 694.7 ¢, or from 505.3 ¢ to 507.7 ¢.

Temperaments associated with this scale include flattone, whose generator is treated as 3/2, and marfifths, whose generator is treated as 75/56 (marvelous 4th).

Modes

Modes of 19L 7s

UDP	Cyclic order	Step pattern
25|0	1	LLLsLLLsLLLsLLsLLLsLLLsLLs
24|1	16	LLLsLLLsLLsLLLsLLLsLLLsLLs
23|2	5	LLLsLLLsLLsLLLsLLLsLLsLLLs
22|3	20	LLLsLLsLLLsLLLsLLLsLLsLLLs
21|4	9	LLLsLLsLLLsLLLsLLsLLLsLLLs
20|5	24	LLsLLLsLLLsLLLsLLsLLLsLLLs
19|6	13	LLsLLLsLLLsLLsLLLsLLLsLLLs
18|7	2	LLsLLLsLLLsLLsLLLsLLLsLLsL
17|8	17	LLsLLLsLLsLLLsLLLsLLLsLLsL
16|9	6	LLsLLLsLLsLLLsLLLsLLsLLLsL
15|10	21	LLsLLsLLLsLLLsLLLsLLsLLLsL
14|11	10	LLsLLsLLLsLLLsLLsLLLsLLLsL
13|12	25	LsLLLsLLLsLLLsLLsLLLsLLLsL
12|13	14	LsLLLsLLLsLLsLLLsLLLsLLLsL
11|14	3	LsLLLsLLLsLLsLLLsLLLsLLsLL
10|15	18	LsLLLsLLsLLLsLLLsLLLsLLsLL
9|16	7	LsLLLsLLsLLLsLLLsLLsLLLsLL
8|17	22	LsLLsLLLsLLLsLLLsLLsLLLsLL
7|18	11	LsLLsLLLsLLLsLLsLLLsLLLsLL
6|19	26	sLLLsLLLsLLLsLLsLLLsLLLsLL
5|20	15	sLLLsLLLsLLsLLLsLLLsLLLsLL
4|21	4	sLLLsLLLsLLsLLLsLLLsLLsLLL
3|22	19	sLLLsLLsLLLsLLLsLLLsLLsLLL
2|23	8	sLLLsLLsLLLsLLLsLLsLLLsLLL
1|24	23	sLLsLLLsLLLsLLLsLLsLLLsLLL
0|25	12	sLLsLLLsLLLsLLsLLLsLLLsLLL

Intervals

Intervals of 19L 7s

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 46.2 ¢
	Major 1-mosstep	M1ms	L	46.2 ¢ to 63.2 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	63.2 ¢ to 92.3 ¢
	Major 2-mosstep	M2ms	2L	92.3 ¢ to 126.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	126.3 ¢ to 138.5 ¢
	Major 3-mosstep	M3ms	3L	138.5 ¢ to 189.5 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	126.3 ¢ to 184.6 ¢
	Major 4-mosstep	M4ms	3L + s	184.6 ¢ to 189.5 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	189.5 ¢ to 230.8 ¢
	Major 5-mosstep	M5ms	4L + s	230.8 ¢ to 252.6 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	252.6 ¢ to 276.9 ¢
	Major 6-mosstep	M6ms	5L + s	276.9 ¢ to 315.8 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	315.8 ¢ to 323.1 ¢
	Major 7-mosstep	M7ms	6L + s	323.1 ¢ to 378.9 ¢
8-mosstep	Minor 8-mosstep	m8ms	5L + 3s	315.8 ¢ to 369.2 ¢
	Major 8-mosstep	M8ms	6L + 2s	369.2 ¢ to 378.9 ¢
9-mosstep	Minor 9-mosstep	m9ms	6L + 3s	378.9 ¢ to 415.4 ¢
	Major 9-mosstep	M9ms	7L + 2s	415.4 ¢ to 442.1 ¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	442.1 ¢ to 461.5 ¢
	Major 10-mosstep	M10ms	8L + 2s	461.5 ¢ to 505.3 ¢
11-mosstep	Perfect 11-mosstep	P11ms	8L + 3s	505.3 ¢ to 507.7 ¢
	Augmented 11-mosstep	A11ms	9L + 2s	507.7 ¢ to 568.4 ¢
12-mosstep	Minor 12-mosstep	m12ms	8L + 4s	505.3 ¢ to 553.8 ¢
	Major 12-mosstep	M12ms	9L + 3s	553.8 ¢ to 568.4 ¢
13-mosstep	Minor 13-mosstep	m13ms	9L + 4s	568.4 ¢ to 600.0 ¢
	Major 13-mosstep	M13ms	10L + 3s	600.0 ¢ to 631.6 ¢
14-mosstep	Minor 14-mosstep	m14ms	10L + 4s	631.6 ¢ to 646.2 ¢
	Major 14-mosstep	M14ms	11L + 3s	646.2 ¢ to 694.7 ¢
15-mosstep	Diminished 15-mosstep	d15ms	10L + 5s	631.6 ¢ to 692.3 ¢
	Perfect 15-mosstep	P15ms	11L + 4s	692.3 ¢ to 694.7 ¢
16-mosstep	Minor 16-mosstep	m16ms	11L + 5s	694.7 ¢ to 738.5 ¢
	Major 16-mosstep	M16ms	12L + 4s	738.5 ¢ to 757.9 ¢
17-mosstep	Minor 17-mosstep	m17ms	12L + 5s	757.9 ¢ to 784.6 ¢
	Major 17-mosstep	M17ms	13L + 4s	784.6 ¢ to 821.1 ¢
18-mosstep	Minor 18-mosstep	m18ms	13L + 5s	821.1 ¢ to 830.8 ¢
	Major 18-mosstep	M18ms	14L + 4s	830.8 ¢ to 884.2 ¢
19-mosstep	Minor 19-mosstep	m19ms	13L + 6s	821.1 ¢ to 876.9 ¢
	Major 19-mosstep	M19ms	14L + 5s	876.9 ¢ to 884.2 ¢
20-mosstep	Minor 20-mosstep	m20ms	14L + 6s	884.2 ¢ to 923.1 ¢
	Major 20-mosstep	M20ms	15L + 5s	923.1 ¢ to 947.4 ¢
21-mosstep	Minor 21-mosstep	m21ms	15L + 6s	947.4 ¢ to 969.2 ¢
	Major 21-mosstep	M21ms	16L + 5s	969.2 ¢ to 1010.5 ¢
22-mosstep	Minor 22-mosstep	m22ms	16L + 6s	1010.5 ¢ to 1015.4 ¢
	Major 22-mosstep	M22ms	17L + 5s	1015.4 ¢ to 1073.7 ¢
23-mosstep	Minor 23-mosstep	m23ms	16L + 7s	1010.5 ¢ to 1061.5 ¢
	Major 23-mosstep	M23ms	17L + 6s	1061.5 ¢ to 1073.7 ¢
24-mosstep	Minor 24-mosstep	m24ms	17L + 7s	1073.7 ¢ to 1107.7 ¢
	Major 24-mosstep	M24ms	18L + 6s	1107.7 ¢ to 1136.8 ¢
25-mosstep	Minor 25-mosstep	m25ms	18L + 7s	1136.8 ¢ to 1153.8 ¢
	Major 25-mosstep	M25ms	19L + 6s	1153.8 ¢ to 1200.0 ¢
26-mosstep	Perfect 26-mosstep	P26ms	19L + 7s	1200.0 ¢