3L 22s

↖ 2L 21s	↑ 3L 21s	4L 21s ↗
← 2L 22s	3L 22s	4L 22s →
↙ 2L 23s	↓ 3L 23s	4L 23s ↘

Scale structure
Step pattern	LsssssssLsssssssLssssssss ssssssssLsssssssLsssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\25 to 1\3 (384.0 ¢ to 400.0 ¢)
Dark	2\3 to 17\25 (800.0 ¢ to 816.0 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	6:1 to 1:0
Related MOS scales
Parent	3L 19s
Sister	22L 3s
Daughters	25L 3s, 3L 25s
Neutralized	6L 19s
2-Flought	28L 22s, 3L 47s
Equal tunings
Equalized (L:s = 1:1)	8\25 (384.0 ¢)
Supersoft (L:s = 4:3)	25\78 (384.6 ¢)
Soft (L:s = 3:2)	17\53 (384.9 ¢)
Semisoft (L:s = 5:3)	26\81 (385.2 ¢)
Basic (L:s = 2:1)	9\28 (385.7 ¢)
Semihard (L:s = 5:2)	19\59 (386.4 ¢)
Hard (L:s = 3:1)	10\31 (387.1 ¢)
Superhard (L:s = 4:1)	11\34 (388.2 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)
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3L 22s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 22 small steps, repeating every octave. 3L 22s is related to 3L 7s, expanding it by 15 tones. Generators that produce this scale range from 384 ¢ to 400 ¢, or from 800 ¢ to 816 ¢.

Modes

Modes of 3L 22s

UDP	Cyclic order	Step pattern
24|0	1	LsssssssLsssssssLssssssss
23|1	9	LsssssssLssssssssLsssssss
22|2	17	LssssssssLsssssssLsssssss
21|3	25	sLsssssssLsssssssLsssssss
20|4	8	sLsssssssLssssssssLssssss
19|5	16	sLssssssssLsssssssLssssss
18|6	24	ssLsssssssLsssssssLssssss
17|7	7	ssLsssssssLssssssssLsssss
16|8	15	ssLssssssssLsssssssLsssss
15|9	23	sssLsssssssLsssssssLsssss
14|10	6	sssLsssssssLssssssssLssss
13|11	14	sssLssssssssLsssssssLssss
12|12	22	ssssLsssssssLsssssssLssss
11|13	5	ssssLsssssssLssssssssLsss
10|14	13	ssssLssssssssLsssssssLsss
9|15	21	sssssLsssssssLsssssssLsss
8|16	4	sssssLsssssssLssssssssLss
7|17	12	sssssLssssssssLsssssssLss
6|18	20	ssssssLsssssssLsssssssLss
5|19	3	ssssssLsssssssLssssssssLs
4|20	11	ssssssLssssssssLsssssssLs
3|21	19	sssssssLsssssssLsssssssLs
2|22	2	sssssssLsssssssLssssssssL
1|23	10	sssssssLssssssssLsssssssL
0|24	18	ssssssssLsssssssLsssssssL

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 3L 22s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
8\25						384.000	816.000	1:1	1.000	Equalized 3L 22s
					41\128	384.375	815.625	6:5	1.200
				33\103		384.466	815.534	5:4	1.250
					58\181	384.530	815.470	9:7	1.286
			25\78			384.615	815.385	4:3	1.333	Supersoft 3L 22s
					67\209	384.689	815.311	11:8	1.375
				42\131		384.733	815.267	7:5	1.400
					59\184	384.783	815.217	10:7	1.429
		17\53				384.906	815.094	3:2	1.500	Soft 3L 22s
					60\187	385.027	814.973	11:7	1.571
				43\134		385.075	814.925	8:5	1.600
					69\215	385.116	814.884	13:8	1.625
			26\81			385.185	814.815	5:3	1.667	Semisoft 3L 22s
					61\190	385.263	814.737	12:7	1.714
				35\109		385.321	814.679	7:4	1.750
					44\137	385.401	814.599	9:5	1.800
	9\28					385.714	814.286	2:1	2.000	Basic 3L 22s Scales with tunings softer than this are proper
					37\115	386.087	813.913	9:4	2.250
				28\87		386.207	813.793	7:3	2.333
					47\146	386.301	813.699	12:5	2.400
			19\59			386.441	813.559	5:2	2.500	Semihard 3L 22s
					48\149	386.577	813.423	13:5	2.600
				29\90		386.667	813.333	8:3	2.667
					39\121	386.777	813.223	11:4	2.750
		10\31				387.097	812.903	3:1	3.000	Hard 3L 22s
					31\96	387.500	812.500	10:3	3.333
				21\65		387.692	812.308	7:2	3.500
					32\99	387.879	812.121	11:3	3.667
			11\34			388.235	811.765	4:1	4.000	Superhard 3L 22s
					23\71	388.732	811.268	9:2	4.500
				12\37		389.189	810.811	5:1	5.000
					13\40	390.000	810.000	6:1	6.000
1\3						400.000	800.000	1:0	→ ∞	Collapsed 3L 22s