8L 11s
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Scale structure
Step pattern
LsLsLssLsLsLssLsLss
ssLsLssLsLsLssLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
7\19 to 3\8 (442.1¢ to 450.0¢)
Dark
5\8 to 12\19 (750.0¢ to 757.9¢)
TAMNAMS information
Descends from
3L 5s (checkertonic)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
8L 3s
Sister
11L 8s
Daughters
19L 8s, 8L 19s
Neutralized
16L 3s
2-Flought
27L 11s, 8L 30s
Equal tunings
Equalized (L:s = 1:1)
7\19 (442.1¢)
Supersoft (L:s = 4:3)
24\65 (443.1¢)
Soft (L:s = 3:2)
17\46 (443.5¢)
Semisoft (L:s = 5:3)
27\73 (443.8¢)
Basic (L:s = 2:1)
10\27 (444.4¢)
Semihard (L:s = 5:2)
23\62 (445.2¢)
Hard (L:s = 3:1)
13\35 (445.7¢)
Superhard (L:s = 4:1)
16\43 (446.5¢)
Collapsed (L:s = 1:0)
3\8 (450.0¢)
| ↖ 7L 10s | ↑ 8L 10s | 9L 10s ↗ |
| ← 7L 11s | 8L 11s | 9L 11s → |
| ↙ 7L 12s | ↓ 8L 12s | 9L 12s ↘ |
┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬┐ │║│║│║││║│║│║││║│║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLssLsLsLssLsLsL
8L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 11 small steps, repeating every octave. 8L 11s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 442.1¢ to 450¢, or from 750¢ to 757.9¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 18|0 | 1 | LsLsLssLsLsLssLsLss |
| 17|1 | 8 | LsLsLssLsLssLsLsLss |
| 16|2 | 15 | LsLssLsLsLssLsLsLss |
| 15|3 | 3 | LsLssLsLsLssLsLssLs |
| 14|4 | 10 | LsLssLsLssLsLsLssLs |
| 13|5 | 17 | LssLsLsLssLsLsLssLs |
| 12|6 | 5 | LssLsLsLssLsLssLsLs |
| 11|7 | 12 | LssLsLssLsLsLssLsLs |
| 10|8 | 19 | sLsLsLssLsLsLssLsLs |
| 9|9 | 7 | sLsLsLssLsLssLsLsLs |
| 8|10 | 14 | sLsLssLsLsLssLsLsLs |
| 7|11 | 2 | sLsLssLsLsLssLsLssL |
| 6|12 | 9 | sLsLssLsLssLsLsLssL |
| 5|13 | 16 | sLssLsLsLssLsLsLssL |
| 4|14 | 4 | sLssLsLsLssLsLssLsL |
| 3|15 | 11 | sLssLsLssLsLsLssLsL |
| 2|16 | 18 | ssLsLsLssLsLsLssLsL |
| 1|17 | 6 | ssLsLsLssLsLssLsLsL |
| 0|18 | 13 | ssLsLssLsLsLssLsLsL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 7\19 | 442.105 | 757.895 | 1:1 | 1.000 | Equalized 8L 11s | |||||
| 38\103 | 442.718 | 757.282 | 6:5 | 1.200 | ||||||
| 31\84 | 442.857 | 757.143 | 5:4 | 1.250 | ||||||
| 55\149 | 442.953 | 757.047 | 9:7 | 1.286 | ||||||
| 24\65 | 443.077 | 756.923 | 4:3 | 1.333 | Supersoft 8L 11s | |||||
| 65\176 | 443.182 | 756.818 | 11:8 | 1.375 | ||||||
| 41\111 | 443.243 | 756.757 | 7:5 | 1.400 | ||||||
| 58\157 | 443.312 | 756.688 | 10:7 | 1.429 | ||||||
| 17\46 | 443.478 | 756.522 | 3:2 | 1.500 | Soft 8L 11s | |||||
| 61\165 | 443.636 | 756.364 | 11:7 | 1.571 | ||||||
| 44\119 | 443.697 | 756.303 | 8:5 | 1.600 | ||||||
| 71\192 | 443.750 | 756.250 | 13:8 | 1.625 | ||||||
| 27\73 | 443.836 | 756.164 | 5:3 | 1.667 | Semisoft 8L 11s | |||||
| 64\173 | 443.931 | 756.069 | 12:7 | 1.714 | ||||||
| 37\100 | 444.000 | 756.000 | 7:4 | 1.750 | ||||||
| 47\127 | 444.094 | 755.906 | 9:5 | 1.800 | ||||||
| 10\27 | 444.444 | 755.556 | 2:1 | 2.000 | Basic 8L 11s Scales with tunings softer than this are proper | |||||
| 43\116 | 444.828 | 755.172 | 9:4 | 2.250 | ||||||
| 33\89 | 444.944 | 755.056 | 7:3 | 2.333 | ||||||
| 56\151 | 445.033 | 754.967 | 12:5 | 2.400 | ||||||
| 23\62 | 445.161 | 754.839 | 5:2 | 2.500 | Semihard 8L 11s | |||||
| 59\159 | 445.283 | 754.717 | 13:5 | 2.600 | ||||||
| 36\97 | 445.361 | 754.639 | 8:3 | 2.667 | ||||||
| 49\132 | 445.455 | 754.545 | 11:4 | 2.750 | ||||||
| 13\35 | 445.714 | 754.286 | 3:1 | 3.000 | Hard 8L 11s | |||||
| 42\113 | 446.018 | 753.982 | 10:3 | 3.333 | ||||||
| 29\78 | 446.154 | 753.846 | 7:2 | 3.500 | ||||||
| 45\121 | 446.281 | 753.719 | 11:3 | 3.667 | ||||||
| 16\43 | 446.512 | 753.488 | 4:1 | 4.000 | Superhard 8L 11s | |||||
| 35\94 | 446.809 | 753.191 | 9:2 | 4.500 | ||||||
| 19\51 | 447.059 | 752.941 | 5:1 | 5.000 | ||||||
| 22\59 | 447.458 | 752.542 | 6:1 | 6.000 | ||||||
| 3\8 | 450.000 | 750.000 | 1:0 | → ∞ | Collapsed 8L 11s | |||||
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