5L 8s
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Scale structure
Step pattern
LsLssLsLssLss
ssLssLsLssLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\13 to 2\5 (461.5¢ to 480.0¢)
Dark
3\5 to 8\13 (720.0¢ to 738.5¢)
TAMNAMS information
Descends from
5L 3s (oneirotonic)
Related MOS scales
Parent
5L 3s
Sister
8L 5s
Daughters
13L 5s
5L 13s
Equal tunings
Equalized (L:s = 1:1)
5\13 (461.5¢)
Supersoft (L:s = 4:3)
17\44 (463.6¢)
Soft (L:s = 3:2)
12\31 (464.5¢)
Semisoft (L:s = 5:3)
19\49 (465.3¢)
Basic (L:s = 2:1)
7\18 (466.7¢)
Semihard (L:s = 5:2)
16\41 (468.3¢)
Hard (L:s = 3:1)
9\23 (469.6¢)
Superhard (L:s = 4:1)
11\28 (471.4¢)
Collapsed (L:s = 1:0)
2\5 (480.0¢)
| ↖4L 7s | ↑5L 7s | 6L 7s↗ |
| ←4L 8s | 5L 8s | 6L 8s→ |
| ↙4L 9s | ↓5L 9s | 6L 9s↘ |
┌╥┬╥┬┬╥┬╥┬┬╥┬┬┐ │║│║││║│║││║│││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLsLssLsL
5L 13s
5L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 8 small steps, repeating every octave. 5L 8s is a child scale of 5L 3s, expanding it by 5 tones. Generators that produce this scale range from 461.5¢ to 480¢, or from 720¢ to 738.5¢.
5L 8s represents the chromatic scales of Semisept, A-Team and Vulture temperaments.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 12|0 | 1 | LsLssLsLssLss |
| 11|1 | 6 | LsLssLssLsLss |
| 10|2 | 11 | LssLsLssLsLss |
| 9|3 | 3 | LssLsLssLssLs |
| 8|4 | 8 | LssLssLsLssLs |
| 7|5 | 13 | sLsLssLsLssLs |
| 6|6 | 5 | sLsLssLssLsLs |
| 5|7 | 10 | sLssLsLssLsLs |
| 4|8 | 2 | sLssLsLssLssL |
| 3|9 | 7 | sLssLssLsLssL |
| 2|10 | 12 | ssLsLssLsLssL |
| 1|11 | 4 | ssLsLssLssLsL |
| 0|12 | 9 | ssLssLsLssLsL |
Scale tree
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\13 | 461.538 | 738.462 | 1:1 | 1.000 | Equalized 5L 8s | |||||
| 27\70 | 462.857 | 737.143 | 6:5 | 1.200 | ||||||
| 22\57 | 463.158 | 736.842 | 5:4 | 1.250 | ||||||
| 39\101 | 463.366 | 736.634 | 9:7 | 1.286 | ||||||
| 17\44 | 463.636 | 736.364 | 4:3 | 1.333 | Supersoft 5L 8s | |||||
| 46\119 | 463.866 | 736.134 | 11:8 | 1.375 | ||||||
| 29\75 | 464.000 | 736.000 | 7:5 | 1.400 | ||||||
| 41\106 | 464.151 | 735.849 | 10:7 | 1.429 | ||||||
| 12\31 | 464.516 | 735.484 | 3:2 | 1.500 | Soft 5L 8s | |||||
| 43\111 | 464.865 | 735.135 | 11:7 | 1.571 | ||||||
| 31\80 | 465.000 | 735.000 | 8:5 | 1.600 | ||||||
| 50\129 | 465.116 | 734.884 | 13:8 | 1.625 | ||||||
| 19\49 | 465.306 | 734.694 | 5:3 | 1.667 | Semisoft 5L 8s | |||||
| 45\116 | 465.517 | 734.483 | 12:7 | 1.714 | ||||||
| 26\67 | 465.672 | 734.328 | 7:4 | 1.750 | ||||||
| 33\85 | 465.882 | 734.118 | 9:5 | 1.800 | ||||||
| 7\18 | 466.667 | 733.333 | 2:1 | 2.000 | Basic 5L 8s Scales with tunings softer than this are proper | |||||
| 30\77 | 467.532 | 732.468 | 9:4 | 2.250 | ||||||
| 23\59 | 467.797 | 732.203 | 7:3 | 2.333 | ||||||
| 39\100 | 468.000 | 732.000 | 12:5 | 2.400 | ||||||
| 16\41 | 468.293 | 731.707 | 5:2 | 2.500 | Semihard 5L 8s | |||||
| 41\105 | 468.571 | 731.429 | 13:5 | 2.600 | ||||||
| 25\64 | 468.750 | 731.250 | 8:3 | 2.667 | ||||||
| 34\87 | 468.966 | 731.034 | 11:4 | 2.750 | ||||||
| 9\23 | 469.565 | 730.435 | 3:1 | 3.000 | Hard 5L 8s | |||||
| 29\74 | 470.270 | 729.730 | 10:3 | 3.333 | ||||||
| 20\51 | 470.588 | 729.412 | 7:2 | 3.500 | ||||||
| 31\79 | 470.886 | 729.114 | 11:3 | 3.667 | ||||||
| 11\28 | 471.429 | 728.571 | 4:1 | 4.000 | Superhard 5L 8s | |||||
| 24\61 | 472.131 | 727.869 | 9:2 | 4.500 | ||||||
| 13\33 | 472.727 | 727.273 | 5:1 | 5.000 | ||||||
| 15\38 | 473.684 | 726.316 | 6:1 | 6.000 | ||||||
| 2\5 | 480.000 | 720.000 | 1:0 | → ∞ | Collapsed 5L 8s | |||||