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
Descends from
5L 2s (diatonic)
Required step ratio range
5:1 to 1:0
Related MOS scales
Parent
5L 17s
Sister
22L 5s
Daughters
27L 5s
5L 27s
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¢)
| ↖4L 21s | ↑5L 21s | 6L 21s↗ |
| ←4L 22s | 5L 22s | 6L 22s→ |
| ↙4L 23s | ↓5L 23s | 6L 23s↘ |
┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││║│││││║││││║││││││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssLssssLsssssLssssLssssL
5L 27s
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
| UDP | Rotational 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 |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 16\27 | 711.111 | 488.889 | 1:1 | 1.000 | Equalized 5L 22s | |||||
| 83\140 | 711.429 | 488.571 | 6:5 | 1.200 | ||||||
| 67\113 | 711.504 | 488.496 | 5:4 | 1.250 | ||||||
| 118\199 | 711.558 | 488.442 | 9:7 | 1.286 | ||||||
| 51\86 | 711.628 | 488.372 | 4:3 | 1.333 | Supersoft 5L 22s | |||||
| 137\231 | 711.688 | 488.312 | 11:8 | 1.375 | ||||||
| 86\145 | 711.724 | 488.276 | 7:5 | 1.400 | ||||||
| 121\204 | 711.765 | 488.235 | 10:7 | 1.429 | ||||||
| 35\59 | 711.864 | 488.136 | 3:2 | 1.500 | Soft 5L 22s | |||||
| 124\209 | 711.962 | 488.038 | 11:7 | 1.571 | ||||||
| 89\150 | 712.000 | 488.000 | 8:5 | 1.600 | ||||||
| 143\241 | 712.033 | 487.967 | 13:8 | 1.625 | ||||||
| 54\91 | 712.088 | 487.912 | 5:3 | 1.667 | Semisoft 5L 22s | |||||
| 127\214 | 712.150 | 487.850 | 12:7 | 1.714 | ||||||
| 73\123 | 712.195 | 487.805 | 7:4 | 1.750 | ||||||
| 92\155 | 712.258 | 487.742 | 9:5 | 1.800 | ||||||
| 19\32 | 712.500 | 487.500 | 2:1 | 2.000 | Basic 5L 22s Scales with tunings softer than this are proper | |||||
| 79\133 | 712.782 | 487.218 | 9:4 | 2.250 | ||||||
| 60\101 | 712.871 | 487.129 | 7:3 | 2.333 | ||||||
| 101\170 | 712.941 | 487.059 | 12:5 | 2.400 | ||||||
| 41\69 | 713.043 | 486.957 | 5:2 | 2.500 | Semihard 5L 22s | |||||
| 104\175 | 713.143 | 486.857 | 13:5 | 2.600 | ||||||
| 63\106 | 713.208 | 486.792 | 8:3 | 2.667 | ||||||
| 85\143 | 713.287 | 486.713 | 11:4 | 2.750 | ||||||
| 22\37 | 713.514 | 486.486 | 3:1 | 3.000 | Hard 5L 22s | |||||
| 69\116 | 713.793 | 486.207 | 10:3 | 3.333 | ||||||
| 47\79 | 713.924 | 486.076 | 7:2 | 3.500 | ||||||
| 72\121 | 714.050 | 485.950 | 11:3 | 3.667 | ||||||
| 25\42 | 714.286 | 485.714 | 4:1 | 4.000 | Superhard 5L 22s | |||||
| 53\89 | 714.607 | 485.393 | 9:2 | 4.500 | ||||||
| 28\47 | 714.894 | 485.106 | 5:1 | 5.000 | ||||||
| 31\52 | 715.385 | 484.615 | 6:1 | 6.000 | ||||||
| 3\5 | 720.000 | 480.000 | 1:0 | → ∞ | Collapsed 5L 22s | |||||
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