11L 8s
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Scale structure
Step pattern
LLsLsLLsLsLsLLsLsLs
sLsLsLLsLsLsLLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
12\19 to 7\11 (757.9¢ to 763.6¢)
Dark
4\11 to 7\19 (436.4¢ to 442.1¢)
TAMNAMS information
Descends from
3L 5s (checkertonic)
Ancestor's step ratio range
3:2 to 2:1 (hyposoft)
Related MOS scales
Parent
8L 3s
Sister
8L 11s
Daughters
19L 11s, 11L 19s
Neutralized
3L 16s
2-Flought
30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1)
12\19 (757.9¢)
Supersoft (L:s = 4:3)
43\68 (758.8¢)
Soft (L:s = 3:2)
31\49 (759.2¢)
Semisoft (L:s = 5:3)
50\79 (759.5¢)
Basic (L:s = 2:1)
19\30 (760.0¢)
Semihard (L:s = 5:2)
45\71 (760.6¢)
Hard (L:s = 3:1)
26\41 (761.0¢)
Superhard (L:s = 4:1)
33\52 (761.5¢)
Collapsed (L:s = 1:0)
7\11 (763.6¢)
| ↖ 10L 7s | ↑ 11L 7s | 12L 7s ↗ |
| ← 10L 8s | 11L 8s | 12L 8s → |
| ↙ 10L 9s | ↓ 11L 9s | 12L 9s ↘ |
┌╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║│║║│║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLLsLsLsLLsLsLL
11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9¢ to 763.6¢, or from 436.4¢ to 442.1¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LLsLsLLsLsLsLLsLsLs |
| 17|1 | 13 | LLsLsLsLLsLsLLsLsLs |
| 16|2 | 6 | LLsLsLsLLsLsLsLLsLs |
| 15|3 | 18 | LsLLsLsLLsLsLsLLsLs |
| 14|4 | 11 | LsLLsLsLsLLsLsLLsLs |
| 13|5 | 4 | LsLLsLsLsLLsLsLsLLs |
| 12|6 | 16 | LsLsLLsLsLLsLsLsLLs |
| 11|7 | 9 | LsLsLLsLsLsLLsLsLLs |
| 10|8 | 2 | LsLsLLsLsLsLLsLsLsL |
| 9|9 | 14 | LsLsLsLLsLsLLsLsLsL |
| 8|10 | 7 | LsLsLsLLsLsLsLLsLsL |
| 7|11 | 19 | sLLsLsLLsLsLsLLsLsL |
| 6|12 | 12 | sLLsLsLsLLsLsLLsLsL |
| 5|13 | 5 | sLLsLsLsLLsLsLsLLsL |
| 4|14 | 17 | sLsLLsLsLLsLsLsLLsL |
| 3|15 | 10 | sLsLLsLsLsLLsLsLLsL |
| 2|16 | 3 | sLsLLsLsLsLLsLsLsLL |
| 1|17 | 15 | sLsLsLLsLsLLsLsLsLL |
| 0|18 | 8 | sLsLsLLsLsLsLLsLsLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 12\19 | 757.895 | 442.105 | 1:1 | 1.000 | Equalized 11L 8s | |||||
| 67\106 | 758.491 | 441.509 | 6:5 | 1.200 | ||||||
| 55\87 | 758.621 | 441.379 | 5:4 | 1.250 | ||||||
| 98\155 | 758.710 | 441.290 | 9:7 | 1.286 | ||||||
| 43\68 | 758.824 | 441.176 | 4:3 | 1.333 | Supersoft 11L 8s | |||||
| 117\185 | 758.919 | 441.081 | 11:8 | 1.375 | ||||||
| 74\117 | 758.974 | 441.026 | 7:5 | 1.400 | ||||||
| 105\166 | 759.036 | 440.964 | 10:7 | 1.429 | ||||||
| 31\49 | 759.184 | 440.816 | 3:2 | 1.500 | Soft 11L 8s | |||||
| 112\177 | 759.322 | 440.678 | 11:7 | 1.571 | ||||||
| 81\128 | 759.375 | 440.625 | 8:5 | 1.600 | ||||||
| 131\207 | 759.420 | 440.580 | 13:8 | 1.625 | ||||||
| 50\79 | 759.494 | 440.506 | 5:3 | 1.667 | Semisoft 11L 8s | |||||
| 119\188 | 759.574 | 440.426 | 12:7 | 1.714 | ||||||
| 69\109 | 759.633 | 440.367 | 7:4 | 1.750 | ||||||
| 88\139 | 759.712 | 440.288 | 9:5 | 1.800 | ||||||
| 19\30 | 760.000 | 440.000 | 2:1 | 2.000 | Basic 11L 8s Scales with tunings softer than this are proper | |||||
| 83\131 | 760.305 | 439.695 | 9:4 | 2.250 | ||||||
| 64\101 | 760.396 | 439.604 | 7:3 | 2.333 | ||||||
| 109\172 | 760.465 | 439.535 | 12:5 | 2.400 | ||||||
| 45\71 | 760.563 | 439.437 | 5:2 | 2.500 | Semihard 11L 8s | |||||
| 116\183 | 760.656 | 439.344 | 13:5 | 2.600 | ||||||
| 71\112 | 760.714 | 439.286 | 8:3 | 2.667 | ||||||
| 97\153 | 760.784 | 439.216 | 11:4 | 2.750 | ||||||
| 26\41 | 760.976 | 439.024 | 3:1 | 3.000 | Hard 11L 8s | |||||
| 85\134 | 761.194 | 438.806 | 10:3 | 3.333 | ||||||
| 59\93 | 761.290 | 438.710 | 7:2 | 3.500 | ||||||
| 92\145 | 761.379 | 438.621 | 11:3 | 3.667 | ||||||
| 33\52 | 761.538 | 438.462 | 4:1 | 4.000 | Superhard 11L 8s | |||||
| 73\115 | 761.739 | 438.261 | 9:2 | 4.500 | ||||||
| 40\63 | 761.905 | 438.095 | 5:1 | 5.000 | ||||||
| 47\74 | 762.162 | 437.838 | 6:1 | 6.000 | ||||||
| 7\11 | 763.636 | 436.364 | 1:0 | → ∞ | Collapsed 11L 8s | |||||
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