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 ¢)
	View • Talk • Edit

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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 5L 19s
Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.	Steps subtended	Range in cents
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 50.0 ¢
1-mosstep	Major 1-mosstep	M1ms	L	50.0 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 100.0 ¢
2-mosstep	Major 2-mosstep	M2ms	L + s	100.0 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 150.0 ¢
3-mosstep	Major 3-mosstep	M3ms	L + 2s	150.0 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 200.0 ¢
4-mosstep	Major 4-mosstep	M4ms	L + 3s	200.0 ¢ to 240.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	240.0 ¢ to 250.0 ¢
5-mosstep	Augmented 5-mosstep	A5ms	2L + 3s	250.0 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 300.0 ¢
6-mosstep	Major 6-mosstep	M6ms	2L + 4s	300.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	240.0 ¢ to 350.0 ¢
7-mosstep	Major 7-mosstep	M7ms	2L + 5s	350.0 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	240.0 ¢ to 400.0 ¢
8-mosstep	Major 8-mosstep	M8ms	2L + 6s	400.0 ¢ to 480.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	240.0 ¢ to 450.0 ¢
9-mosstep	Major 9-mosstep	M9ms	2L + 7s	450.0 ¢ to 480.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	480.0 ¢ to 500.0 ¢
10-mosstep	Major 10-mosstep	M10ms	3L + 7s	500.0 ¢ to 720.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	480.0 ¢ to 550.0 ¢
11-mosstep	Major 11-mosstep	M11ms	3L + 8s	550.0 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	480.0 ¢ to 600.0 ¢
12-mosstep	Major 12-mosstep	M12ms	3L + 9s	600.0 ¢ to 720.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	480.0 ¢ to 650.0 ¢
13-mosstep	Major 13-mosstep	M13ms	3L + 10s	650.0 ¢ to 720.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	2L + 12s	480.0 ¢ to 700.0 ¢
14-mosstep	Major 14-mosstep	M14ms	3L + 11s	700.0 ¢ to 720.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	720.0 ¢ to 750.0 ¢
15-mosstep	Major 15-mosstep	M15ms	4L + 11s	750.0 ¢ to 960.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	720.0 ¢ to 800.0 ¢
16-mosstep	Major 16-mosstep	M16ms	4L + 12s	800.0 ¢ to 960.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	720.0 ¢ to 850.0 ¢
17-mosstep	Major 17-mosstep	M17ms	4L + 13s	850.0 ¢ to 960.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	720.0 ¢ to 900.0 ¢
18-mosstep	Major 18-mosstep	M18ms	4L + 14s	900.0 ¢ to 960.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	3L + 16s	720.0 ¢ to 950.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	4L + 15s	950.0 ¢ to 960.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	4L + 16s	960.0 ¢ to 1000.0 ¢
20-mosstep	Major 20-mosstep	M20ms	5L + 15s	1000.0 ¢ to 1200.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	4L + 17s	960.0 ¢ to 1050.0 ¢
21-mosstep	Major 21-mosstep	M21ms	5L + 16s	1050.0 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	960.0 ¢ to 1100.0 ¢
22-mosstep	Major 22-mosstep	M22ms	5L + 17s	1100.0 ¢ to 1200.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	4L + 19s	960.0 ¢ to 1150.0 ¢
23-mosstep	Major 23-mosstep	M23ms	5L + 18s	1150.0 ¢ to 1200.0 ¢
24-mosstep	Perfect 24-mosstep	P24ms	5L + 19s	1200.0 ¢

Generator chain

Generator chain of 5L 19s
Bright gens	Scale degree	Abbrev.
28	Augmented 4-mosdegree	A4md
27	Augmented 9-mosdegree	A9md
26	Augmented 14-mosdegree	A14md
25	Augmented 19-mosdegree	A19md
24	Augmented 0-mosdegree	A0md
23	Augmented 5-mosdegree	A5md
22	Major 10-mosdegree	M10md
21	Major 15-mosdegree	M15md
20	Major 20-mosdegree	M20md
19	Major 1-mosdegree	M1md
18	Major 6-mosdegree	M6md
17	Major 11-mosdegree	M11md
16	Major 16-mosdegree	M16md
15	Major 21-mosdegree	M21md
14	Major 2-mosdegree	M2md
13	Major 7-mosdegree	M7md
12	Major 12-mosdegree	M12md
11	Major 17-mosdegree	M17md
10	Major 22-mosdegree	M22md
9	Major 3-mosdegree	M3md
8	Major 8-mosdegree	M8md
7	Major 13-mosdegree	M13md
6	Major 18-mosdegree	M18md
5	Major 23-mosdegree	M23md
4	Major 4-mosdegree	M4md
3	Major 9-mosdegree	M9md
2	Major 14-mosdegree	M14md
1	Perfect 19-mosdegree	P19md
0	Perfect 0-mosdegree Perfect 24-mosdegree	P0md P24md
−1	Perfect 5-mosdegree	P5md
−2	Minor 10-mosdegree	m10md
−3	Minor 15-mosdegree	m15md
−4	Minor 20-mosdegree	m20md
−5	Minor 1-mosdegree	m1md
−6	Minor 6-mosdegree	m6md
−7	Minor 11-mosdegree	m11md
−8	Minor 16-mosdegree	m16md
−9	Minor 21-mosdegree	m21md
−10	Minor 2-mosdegree	m2md
−11	Minor 7-mosdegree	m7md
−12	Minor 12-mosdegree	m12md
−13	Minor 17-mosdegree	m17md
−14	Minor 22-mosdegree	m22md
−15	Minor 3-mosdegree	m3md
−16	Minor 8-mosdegree	m8md
−17	Minor 13-mosdegree	m13md
−18	Minor 18-mosdegree	m18md
−19	Minor 23-mosdegree	m23md
−20	Minor 4-mosdegree	m4md
−21	Minor 9-mosdegree	m9md
−22	Minor 14-mosdegree	m14md
−23	Diminished 19-mosdegree	d19md
−24	Diminished 24-mosdegree	d24md
−25	Diminished 5-mosdegree	d5md
−26	Diminished 10-mosdegree	d10md
−27	Diminished 15-mosdegree	d15md
−28	Diminished 20-mosdegree	d20md

Modes

Scale degrees of the modes of 5L 19s
UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
23\|0	1	LsssLssssLssssLssssLssss	Perf.	Maj.	Maj.	Maj.	Maj.	Aug.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.
22\|1	20	LssssLsssLssssLssssLssss	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.
21\|2	15	LssssLssssLsssLssssLssss	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.
20\|3	10	LssssLssssLssssLsssLssss	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.
19\|4	5	LssssLssssLssssLssssLsss	Perf.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.
18\|5	24	sLsssLssssLssssLssssLsss	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.
17\|6	19	sLssssLsssLssssLssssLsss	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.
16\|7	14	sLssssLssssLsssLssssLsss	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Maj.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.
15\|8	9	sLssssLssssLssssLsssLsss	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Perf.
14\|9	4	sLssssLssssLssssLssssLss	Perf.	Min.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Perf.
13\|10	23	ssLsssLssssLssssLssssLss	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Perf.
12\|11	18	ssLssssLsssLssssLssssLss	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Perf.
11\|12	13	ssLssssLssssLsssLssssLss	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Maj.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Perf.
10\|13	8	ssLssssLssssLssssLsssLss	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Perf.
9\|14	3	ssLssssLssssLssssLssssLs	Perf.	Min.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Perf.
8\|15	22	sssLsssLssssLssssLssssLs	Perf.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Perf.
7\|16	17	sssLssssLsssLssssLssssLs	Perf.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Maj.	Maj.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Perf.
6\|17	12	sssLssssLssssLsssLssssLs	Perf.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Perf.
5\|18	7	sssLssssLssssLssssLsssLs	Perf.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Maj.	Perf.
4\|19	2	sssLssssLssssLssssLssssL	Perf.	Min.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Perf.
3\|20	21	ssssLsssLssssLssssLssssL	Perf.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Perf.
2\|21	16	ssssLssssLsssLssssLssssL	Perf.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Perf.
1\|22	11	ssssLssssLssssLsssLssssL	Perf.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Perf.
0\|23	6	ssssLssssLssssLssssLsssL	Perf.	Min.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Dim.	Min.	Min.	Min.	Min.	Perf.

Scale tree

Scale tree and tuning spectrum of 5L 19s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
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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5L 19s

Contents

Scale properties

Intervals

Generator chain

Modes

Scale tree

Navigation menu

5L 19s

Scale properties

Intervals

Generator chain

Modes

Scale tree

Navigation menu

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