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¢)
Step size ranges
Large	1\24 to 1\5 (50.0¢ to 240.0¢)
Small	0\5 to 1\24 (0.0¢ to 50.0¢)
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
Descends from	5L 4s (semiquartal)
Related MOS scales
Parent	5L 14s
Sister	19L 5s
Daughters	24L 5s 5L 24s
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	Rotational 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

Scale tree

Scale tree and tuning spectrum of 5L 19s

Generator (in steps of edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
19\24						950.000	250.000	1:1	1.000	Equalized 5L 19s
					99\125	950.400	249.600	6:5	1.200
				80\101		950.495	249.505	5:4	1.250
					141\178	950.562	249.438	9:7	1.286
			61\77			950.649	249.351	4:3	1.333	Supersoft 5L 19s
					164\207	950.725	249.275	11:8	1.375
				103\130		950.769	249.231	7:5	1.400
					145\183	950.820	249.180	10:7	1.429
		42\53				950.943	249.057	3:2	1.500	Soft 5L 19s
					149\188	951.064	248.936	11:7	1.571
				107\135		951.111	248.889	8:5	1.600
					172\217	951.152	248.848	13:8	1.625
			65\82			951.220	248.780	5:3	1.667	Semisoft 5L 19s
					153\193	951.295	248.705	12:7	1.714
				88\111		951.351	248.649	7:4	1.750
					111\140	951.429	248.571	9:5	1.800
	23\29					951.724	248.276	2:1	2.000	Basic 5L 19s Scales with tunings softer than this are proper
					96\121	952.066	247.934	9:4	2.250
				73\92		952.174	247.826	7:3	2.333
					123\155	952.258	247.742	12:5	2.400
			50\63			952.381	247.619	5:2	2.500	Semihard 5L 19s
					127\160	952.500	247.500	13:5	2.600
				77\97		952.577	247.423	8:3	2.667
					104\131	952.672	247.328	11:4	2.750
		27\34				952.941	247.059	3:1	3.000	Hard 5L 19s
					85\107	953.271	246.729	10:3	3.333
				58\73		953.425	246.575	7:2	3.500
					89\112	953.571	246.429	11:3	3.667
			31\39			953.846	246.154	4:1	4.000	Superhard 5L 19s
					66\83	954.217	245.783	9:2	4.500
				35\44		954.545	245.455	5:1	5.000
					39\49	955.102	244.898	6:1	6.000
4\5						960.000	240.000	1:0	→ ∞	Collapsed 5L 19s

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