5L 22s

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← 4L 22s	5L 22s	6L 22s →
↙ 4L 23s	↓ 5L 23s	6L 23s ↘

┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││║│││││║││││║││││││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
2\5								1	0		480.000
							25\62	8	1	8.000	483.871
						23\57		7	1	7.000	484.211
							44\109	13	2	6.500	484.404
					21\52			6	1	6.000	484.615
							61\151	17	3	5.667	484.768
						40\99		11	2	5.500	484.848
							59\146	16	3	5.333	484.932
				19\47				5	1	5.000	485.106
							74\183	19	4	4.750	485.246
						55\136		14	3	4.667	485.294
					36\89			9	2	4.500	485.393
						53\131		13	3	4.333	485.496
							70\173	17	4	4.250	485.549
			17\42					4	1	4.000	485.714
						66\163		15	4	3.750	485.890
					49\121			11	3	3.667	485.950
						81\200		18	5	3.600	486.000
				32\79				7	2	3.500	486.076
						79\195		17	5	3.400	486.154
					47\116			10	3	3.333	486.207
						62\153		13	4	3.250	486.275
							77\190	16	5	3.200	486.316
		15\37						3	1	3.000	486.486
						73\180		14	5	2.800	486.667
					58\143			11	4	2.750	486.713
				43\106				8	3	2.667	486.792
					71\175			13	5	2.600	486.857
			28\69					5	2	2.500	486.957
					69\170			12	5	2.400	487.059
				41\101				7	3	2.333	487.129
					54\133			9	4	2.250	487.218
						67\165		11	5	2.200	487.273
							80\197	13	6	2.167	487.310
	13\32							2	1	2.000	487.500
						76\187		11	6	1.833	487.701
					63\155			9	5	1.800	487.742
				50\123				7	4	1.750	487.805
			37\91					5	3	1.667	487.912
				61\150				8	5	1.600	488.000
		24\59						3	2	1.500	488.136
				59\145				7	5	1.400	488.276
			35\86					4	3	1.333	488.372
					81\199			9	7	1.286	488.442
				46\113				5	4	1.250	488.496
					57\140			6	5	1.200	488.571
						68\167		7	6	1.167	488.623
							79\194	8	7	1.143	488.660
11\27								1	1	1.000	488.889