19L 11s
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Scale structure
Step pattern
LLsLLsLLsLsLLsLLsLLsLsLLsLLsLs
sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
11\30 to 7\19 (440.0¢ to 442.1¢)
Dark
12\19 to 19\30 (757.9¢ to 760.0¢)
TAMNAMS information
Descends from
3L 5s (checkertonic)
Required step ratio range
3:2 to 5:3 (quasisoft)
Related MOS scales
Parent
11L 8s
Sister
11L 19s
Daughters
30L 19s
19L 30s
Equal tunings
Equalized (L:s = 1:1)
11\30 (440.0¢)
Supersoft (L:s = 4:3)
40\109 (440.4¢)
Soft (L:s = 3:2)
29\79 (440.5¢)
Semisoft (L:s = 5:3)
47\128 (440.6¢)
Basic (L:s = 2:1)
18\49 (440.8¢)
Semihard (L:s = 5:2)
43\117 (441.0¢)
Hard (L:s = 3:1)
25\68 (441.2¢)
Superhard (L:s = 4:1)
32\87 (441.4¢)
Collapsed (L:s = 1:0)
7\19 (442.1¢)
| ↖18L 10s | ↑19L 10s | 20L 10s↗ |
| ←18L 11s | 19L 11s | 20L 11s→ |
| ↙18L 12s | ↓19L 12s | 20L 12s↘ |
┌╥╥┬╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║│║║│║║│║║│║│║║│║║│║││ ││││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL
19L 30s
19L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 11 small steps, repeating every octave. 19L 11s is a great-grandchild scale of 3L 5s, expanding it by 22 tones. Generators that produce this scale range from 440¢ to 442.1¢, or from 757.9¢ to 760¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 29|0 | 1 | LLsLLsLLsLsLLsLLsLLsLsLLsLLsLs |
| 28|1 | 12 | LLsLLsLLsLsLLsLLsLsLLsLLsLLsLs |
| 27|2 | 23 | LLsLLsLsLLsLLsLLsLsLLsLLsLLsLs |
| 26|3 | 4 | LLsLLsLsLLsLLsLLsLsLLsLLsLsLLs |
| 25|4 | 15 | LLsLLsLsLLsLLsLsLLsLLsLLsLsLLs |
| 24|5 | 26 | LLsLsLLsLLsLLsLsLLsLLsLLsLsLLs |
| 23|6 | 7 | LLsLsLLsLLsLLsLsLLsLLsLsLLsLLs |
| 22|7 | 18 | LLsLsLLsLLsLsLLsLLsLLsLsLLsLLs |
| 21|8 | 29 | LsLLsLLsLLsLsLLsLLsLLsLsLLsLLs |
| 20|9 | 10 | LsLLsLLsLLsLsLLsLLsLsLLsLLsLLs |
| 19|10 | 21 | LsLLsLLsLsLLsLLsLLsLsLLsLLsLLs |
| 18|11 | 2 | LsLLsLLsLsLLsLLsLLsLsLLsLLsLsL |
| 17|12 | 13 | LsLLsLLsLsLLsLLsLsLLsLLsLLsLsL |
| 16|13 | 24 | LsLLsLsLLsLLsLLsLsLLsLLsLLsLsL |
| 15|14 | 5 | LsLLsLsLLsLLsLLsLsLLsLLsLsLLsL |
| 14|15 | 16 | LsLLsLsLLsLLsLsLLsLLsLLsLsLLsL |
| 13|16 | 27 | LsLsLLsLLsLLsLsLLsLLsLLsLsLLsL |
| 12|17 | 8 | LsLsLLsLLsLLsLsLLsLLsLsLLsLLsL |
| 11|18 | 19 | LsLsLLsLLsLsLLsLLsLLsLsLLsLLsL |
| 10|19 | 30 | sLLsLLsLLsLsLLsLLsLLsLsLLsLLsL |
| 9|20 | 11 | sLLsLLsLLsLsLLsLLsLsLLsLLsLLsL |
| 8|21 | 22 | sLLsLLsLsLLsLLsLLsLsLLsLLsLLsL |
| 7|22 | 3 | sLLsLLsLsLLsLLsLLsLsLLsLLsLsLL |
| 6|23 | 14 | sLLsLLsLsLLsLLsLsLLsLLsLLsLsLL |
| 5|24 | 25 | sLLsLsLLsLLsLLsLsLLsLLsLLsLsLL |
| 4|25 | 6 | sLLsLsLLsLLsLLsLsLLsLLsLsLLsLL |
| 3|26 | 17 | sLLsLsLLsLLsLsLLsLLsLLsLsLLsLL |
| 2|27 | 28 | sLsLLsLLsLLsLsLLsLLsLLsLsLLsLL |
| 1|28 | 9 | sLsLLsLLsLLsLsLLsLLsLsLLsLLsLL |
| 0|29 | 20 | sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL |
Scale tree
| Generator (edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\30 | 440.000 | 760.000 | 1:1 | 1.000 | Equalized 19L 11s | |||||
| 62\169 | 440.237 | 759.763 | 6:5 | 1.200 | ||||||
| 51\139 | 440.288 | 759.712 | 5:4 | 1.250 | ||||||
| 91\248 | 440.323 | 759.677 | 9:7 | 1.286 | ||||||
| 40\109 | 440.367 | 759.633 | 4:3 | 1.333 | Supersoft 19L 11s | |||||
| 109\297 | 440.404 | 759.596 | 11:8 | 1.375 | ||||||
| 69\188 | 440.426 | 759.574 | 7:5 | 1.400 | ||||||
| 98\267 | 440.449 | 759.551 | 10:7 | 1.429 | ||||||
| 29\79 | 440.506 | 759.494 | 3:2 | 1.500 | Soft 19L 11s | |||||
| 105\286 | 440.559 | 759.441 | 11:7 | 1.571 | ||||||
| 76\207 | 440.580 | 759.420 | 8:5 | 1.600 | ||||||
| 123\335 | 440.597 | 759.403 | 13:8 | 1.625 | ||||||
| 47\128 | 440.625 | 759.375 | 5:3 | 1.667 | Semisoft 19L 11s | |||||
| 112\305 | 440.656 | 759.344 | 12:7 | 1.714 | ||||||
| 65\177 | 440.678 | 759.322 | 7:4 | 1.750 | ||||||
| 83\226 | 440.708 | 759.292 | 9:5 | 1.800 | ||||||
| 18\49 | 440.816 | 759.184 | 2:1 | 2.000 | Basic 19L 11s Scales with tunings softer than this are proper | |||||
| 79\215 | 440.930 | 759.070 | 9:4 | 2.250 | ||||||
| 61\166 | 440.964 | 759.036 | 7:3 | 2.333 | ||||||
| 104\283 | 440.989 | 759.011 | 12:5 | 2.400 | ||||||
| 43\117 | 441.026 | 758.974 | 5:2 | 2.500 | Semihard 19L 11s | |||||
| 111\302 | 441.060 | 758.940 | 13:5 | 2.600 | ||||||
| 68\185 | 441.081 | 758.919 | 8:3 | 2.667 | ||||||
| 93\253 | 441.107 | 758.893 | 11:4 | 2.750 | ||||||
| 25\68 | 441.176 | 758.824 | 3:1 | 3.000 | Hard 19L 11s | |||||
| 82\223 | 441.256 | 758.744 | 10:3 | 3.333 | ||||||
| 57\155 | 441.290 | 758.710 | 7:2 | 3.500 | ||||||
| 89\242 | 441.322 | 758.678 | 11:3 | 3.667 | ||||||
| 32\87 | 441.379 | 758.621 | 4:1 | 4.000 | Superhard 19L 11s | |||||
| 71\193 | 441.451 | 758.549 | 9:2 | 4.500 | ||||||
| 39\106 | 441.509 | 758.491 | 5:1 | 5.000 | ||||||
| 46\125 | 441.600 | 758.400 | 6:1 | 6.000 | ||||||
| 7\19 | 442.105 | 757.895 | 1:0 | → ∞ | Collapsed 19L 11s | |||||
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