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

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
1\5								1	0		240.000
							12\59	8	1	8.000	244.068
						11\54		7	1	7.000	244.444
							21\103	13	2	6.500	244.660
					10\49			6	1	6.000	244.898
							29\142	17	3	5.667	245.070
						19\93		11	2	5.500	245.161
							28\137	16	3	5.333	245.255
				9\44				5	1	5.000	245.455
						26\127		14	3	4.667	245.669
					17\83			9	2	4.500	245.783
						25\122		13	3	4.333	245.902
			8\39					4	1	4.000	246.154
						31\151		15	4	3.750	246.358
					23\112			11	3	3.667	246.429
				15\73				7	2	3.500	246.575
					22\107			10	3	3.333	246.729
						29\141		13	4	3.250	246.809
		7\34						3	1	3.000	247.059
					27\131			11	4	2.750	247.328
				20\97				8	3	2.667	247.423
					33\160			13	5	2.600	247.500
			13\63					5	2	2.500	247.619
					32\155			12	5	2.400	247.742
				19\92				7	3	2.333	247.826
					25\121			9	4	2.250	247.934
						31\150		11	5	2.200	248.000
	6\29							2	1	2.000	248.276
					29\140			9	5	1.800	248.571
				23\111				7	4	1.750	248.649
			17\82					5	3	1.667	248.780
				28\135				8	5	1.600	248.889
		11\53						3	2	1.500	249.057
				27\130				7	5	1.400	249.231
			16\77					4	3	1.333	249.351
				21\101				5	4	1.250	249.505
					26\125			6	5	1.200	249.600
						31\149		7	6	1.167	249.664
							36\173	8	7	1.143	249.711
5\24								1	1	1.000	250.000