5L 22s

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Scale structure
Step pattern	LssssLssssLsssssLssssLsssss sssssLssssLsssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	16\27 to 3\5 (711.1 ¢ to 720.0 ¢)
Dark	2\5 to 11\27 (480.0 ¢ to 488.9 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	5:1 to 1:0
Related MOS scales
Parent	5L 17s
Sister	22L 5s
Daughters	27L 5s, 5L 27s
Neutralized	10L 17s
2-Flought	32L 22s, 5L 49s
Equal tunings
Equalized (L:s = 1:1)	16\27 (711.1 ¢)
Supersoft (L:s = 4:3)	51\86 (711.6 ¢)
Soft (L:s = 3:2)	35\59 (711.9 ¢)
Semisoft (L:s = 5:3)	54\91 (712.1 ¢)
Basic (L:s = 2:1)	19\32 (712.5 ¢)
Semihard (L:s = 5:2)	41\69 (713.0 ¢)
Hard (L:s = 3:1)	22\37 (713.5 ¢)
Superhard (L:s = 4:1)	25\42 (714.3 ¢)
Collapsed (L:s = 1:0)	3\5 (720.0 ¢)

5L 22s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 22 small steps, repeating every octave. 5L 22s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 711.1 ¢ to 720 ¢, or from 480 ¢ to 488.9 ¢.

Modes

Modes of 5L 22s

UDP	Cyclic order	Step pattern
26|0	1	LssssLssssLsssssLssssLsssss
25|1	17	LssssLsssssLssssLssssLsssss
24|2	6	LssssLsssssLssssLsssssLssss
23|3	22	LsssssLssssLssssLsssssLssss
22|4	11	LsssssLssssLsssssLssssLssss
21|5	27	sLssssLssssLsssssLssssLssss
20|6	16	sLssssLsssssLssssLssssLssss
19|7	5	sLssssLsssssLssssLsssssLsss
18|8	21	sLsssssLssssLssssLsssssLsss
17|9	10	sLsssssLssssLsssssLssssLsss
16|10	26	ssLssssLssssLsssssLssssLsss
15|11	15	ssLssssLsssssLssssLssssLsss
14|12	4	ssLssssLsssssLssssLsssssLss
13|13	20	ssLsssssLssssLssssLsssssLss
12|14	9	ssLsssssLssssLsssssLssssLss
11|15	25	sssLssssLssssLsssssLssssLss
10|16	14	sssLssssLsssssLssssLssssLss
9|17	3	sssLssssLsssssLssssLsssssLs
8|18	19	sssLsssssLssssLssssLsssssLs
7|19	8	sssLsssssLssssLsssssLssssLs
6|20	24	ssssLssssLssssLsssssLssssLs
5|21	13	ssssLssssLsssssLssssLssssLs
4|22	2	ssssLssssLsssssLssssLsssssL
3|23	18	ssssLsssssLssssLssssLsssssL
2|24	7	ssssLsssssLssssLsssssLssssL
1|25	23	sssssLssssLssssLsssssLssssL
0|26	12	sssssLssssLsssssLssssLssssL

Intervals

Intervals of 5L 22s

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 44.4 ¢
	Major 1-mosstep	M1ms	L	44.4 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 88.9 ¢
	Major 2-mosstep	M2ms	L + s	88.9 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 133.3 ¢
	Major 3-mosstep	M3ms	L + 2s	133.3 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 177.8 ¢
	Major 4-mosstep	M4ms	L + 3s	177.8 ¢ to 240.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 222.2 ¢
	Major 5-mosstep	M5ms	L + 4s	222.2 ¢ to 240.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 266.7 ¢
	Major 6-mosstep	M6ms	2L + 4s	266.7 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	240.0 ¢ to 311.1 ¢
	Major 7-mosstep	M7ms	2L + 5s	311.1 ¢ to 480.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	240.0 ¢ to 355.6 ¢
	Major 8-mosstep	M8ms	2L + 6s	355.6 ¢ to 480.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	240.0 ¢ to 400.0 ¢
	Major 9-mosstep	M9ms	2L + 7s	400.0 ¢ to 480.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	240.0 ¢ to 444.4 ¢
	Major 10-mosstep	M10ms	2L + 8s	444.4 ¢ to 480.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	2L + 9s	480.0 ¢ to 488.9 ¢
	Augmented 11-mosstep	A11ms	3L + 8s	488.9 ¢ to 720.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	480.0 ¢ to 533.3 ¢
	Major 12-mosstep	M12ms	3L + 9s	533.3 ¢ to 720.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	480.0 ¢ to 577.8 ¢
	Major 13-mosstep	M13ms	3L + 10s	577.8 ¢ to 720.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	2L + 12s	480.0 ¢ to 622.2 ¢
	Major 14-mosstep	M14ms	3L + 11s	622.2 ¢ to 720.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	2L + 13s	480.0 ¢ to 666.7 ¢
	Major 15-mosstep	M15ms	3L + 12s	666.7 ¢ to 720.0 ¢
16-mosstep	Diminished 16-mosstep	d16ms	2L + 14s	480.0 ¢ to 711.1 ¢
	Perfect 16-mosstep	P16ms	3L + 13s	711.1 ¢ to 720.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	720.0 ¢ to 755.6 ¢
	Major 17-mosstep	M17ms	4L + 13s	755.6 ¢ to 960.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	720.0 ¢ to 800.0 ¢
	Major 18-mosstep	M18ms	4L + 14s	800.0 ¢ to 960.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	3L + 16s	720.0 ¢ to 844.4 ¢
	Major 19-mosstep	M19ms	4L + 15s	844.4 ¢ to 960.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	3L + 17s	720.0 ¢ to 888.9 ¢
	Major 20-mosstep	M20ms	4L + 16s	888.9 ¢ to 960.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	3L + 18s	720.0 ¢ to 933.3 ¢
	Major 21-mosstep	M21ms	4L + 17s	933.3 ¢ to 960.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	960.0 ¢ to 977.8 ¢
	Major 22-mosstep	M22ms	5L + 17s	977.8 ¢ to 1200.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	4L + 19s	960.0 ¢ to 1022.2 ¢
	Major 23-mosstep	M23ms	5L + 18s	1022.2 ¢ to 1200.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	4L + 20s	960.0 ¢ to 1066.7 ¢
	Major 24-mosstep	M24ms	5L + 19s	1066.7 ¢ to 1200.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	4L + 21s	960.0 ¢ to 1111.1 ¢
	Major 25-mosstep	M25ms	5L + 20s	1111.1 ¢ to 1200.0 ¢
26-mosstep	Minor 26-mosstep	m26ms	4L + 22s	960.0 ¢ to 1155.6 ¢
	Major 26-mosstep	M26ms	5L + 21s	1155.6 ¢ to 1200.0 ¢
27-mosstep	Perfect 27-mosstep	P27ms	5L + 22s	1200.0 ¢

Scale tree

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