22L 5s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖21L 4s ↑22L 4s 23L 4s↗
←21L 5s22L 5s 23L 5s→
↙21L 6s ↓22L 6s 23L 6s↘
┌╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐
│║║║║║│║║║║│║║║║║│║║║║│║║║║││
│││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLsLLLLsLLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLLsLLLLsLLLLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 11\27 to 9\22 (488.9¢ to 490.9¢)
Dark 13\22 to 16\27 (709.1¢ to 711.1¢)
TAMNAMS information
Descends from 5L 2s (diatonic)
Required step ratio range 4:1 to 5:1
Related MOS scales
Parent 5L 17s
Sister 5L 22s
Daughters 27L 22s, 22L 27s
Neutralized 17L 10s
Equal tunings
Equalized (L:s = 1:1) 11\27 (488.9¢)
Supersoft (L:s = 4:3) 42\103 (489.3¢)
Soft (L:s = 3:2) 31\76 (489.5¢)
Semisoft (L:s = 5:3) 51\125 (489.6¢)
Basic (L:s = 2:1) 20\49 (489.8¢)
Semihard (L:s = 5:2) 49\120 (490.0¢)
Hard (L:s = 3:1) 29\71 (490.1¢)
Superhard (L:s = 4:1) 38\93 (490.3¢)
Collapsed (L:s = 1:0) 9\22 (490.9¢)

22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9¢ to 490.9¢, or from 709.1¢ to 711.1¢.

Modes

Modes of 22L 5s
UDP Rotational order Step pattern
26|0 1 LLLLLsLLLLsLLLLLsLLLLsLLLLs
25|1 12 LLLLLsLLLLsLLLLsLLLLLsLLLLs
24|2 23 LLLLsLLLLLsLLLLsLLLLLsLLLLs
23|3 7 LLLLsLLLLLsLLLLsLLLLsLLLLLs
22|4 18 LLLLsLLLLsLLLLLsLLLLsLLLLLs
21|5 2 LLLLsLLLLsLLLLLsLLLLsLLLLsL
20|6 13 LLLLsLLLLsLLLLsLLLLLsLLLLsL
19|7 24 LLLsLLLLLsLLLLsLLLLLsLLLLsL
18|8 8 LLLsLLLLLsLLLLsLLLLsLLLLLsL
17|9 19 LLLsLLLLsLLLLLsLLLLsLLLLLsL
16|10 3 LLLsLLLLsLLLLLsLLLLsLLLLsLL
15|11 14 LLLsLLLLsLLLLsLLLLLsLLLLsLL
14|12 25 LLsLLLLLsLLLLsLLLLLsLLLLsLL
13|13 9 LLsLLLLLsLLLLsLLLLsLLLLLsLL
12|14 20 LLsLLLLsLLLLLsLLLLsLLLLLsLL
11|15 4 LLsLLLLsLLLLLsLLLLsLLLLsLLL
10|16 15 LLsLLLLsLLLLsLLLLLsLLLLsLLL
9|17 26 LsLLLLLsLLLLsLLLLLsLLLLsLLL
8|18 10 LsLLLLLsLLLLsLLLLsLLLLLsLLL
7|19 21 LsLLLLsLLLLLsLLLLsLLLLLsLLL
6|20 5 LsLLLLsLLLLLsLLLLsLLLLsLLLL
5|21 16 LsLLLLsLLLLsLLLLLsLLLLsLLLL
4|22 27 sLLLLLsLLLLsLLLLLsLLLLsLLLL
3|23 11 sLLLLLsLLLLsLLLLsLLLLLsLLLL
2|24 22 sLLLLsLLLLLsLLLLsLLLLLsLLLL
1|25 6 sLLLLsLLLLLsLLLLsLLLLsLLLLL
0|26 17 sLLLLsLLLLsLLLLLsLLLLsLLLLL

Scale tree

Scale Tree and Tuning Spectrum of 22L 5s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
11\27 488.889 711.111 1:1 1.000 Equalized 22L 5s
64\157 489.172 710.828 6:5 1.200
53\130 489.231 710.769 5:4 1.250
95\233 489.270 710.730 9:7 1.286
42\103 489.320 710.680 4:3 1.333 Supersoft 22L 5s
115\282 489.362 710.638 11:8 1.375
73\179 489.385 710.615 7:5 1.400
104\255 489.412 710.588 10:7 1.429
31\76 489.474 710.526 3:2 1.500 Soft 22L 5s
113\277 489.531 710.469 11:7 1.571
82\201 489.552 710.448 8:5 1.600
133\326 489.571 710.429 13:8 1.625
51\125 489.600 710.400 5:3 1.667 Semisoft 22L 5s
122\299 489.632 710.368 12:7 1.714
71\174 489.655 710.345 7:4 1.750
91\223 489.686 710.314 9:5 1.800
20\49 489.796 710.204 2:1 2.000 Basic 22L 5s
Scales with tunings softer than this are proper
89\218 489.908 710.092 9:4 2.250
69\169 489.941 710.059 7:3 2.333
118\289 489.965 710.035 12:5 2.400
49\120 490.000 710.000 5:2 2.500 Semihard 22L 5s
127\311 490.032 709.968 13:5 2.600
78\191 490.052 709.948 8:3 2.667
107\262 490.076 709.924 11:4 2.750
29\71 490.141 709.859 3:1 3.000 Hard 22L 5s
96\235 490.213 709.787 10:3 3.333
67\164 490.244 709.756 7:2 3.500
105\257 490.272 709.728 11:3 3.667
38\93 490.323 709.677 4:1 4.000 Superhard 22L 5s
85\208 490.385 709.615 9:2 4.500
47\115 490.435 709.565 5:1 5.000
56\137 490.511 709.489 6:1 6.000
9\22 490.909 709.091 1:0 → ∞ Collapsed 22L 5s
Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.