15L 4s
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Scale structure
Step pattern
LLLLsLLLLsLLLLsLLLs
sLLLsLLLLsLLLLsLLLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\19 to 4\15 (315.8¢ to 320.0¢)
Dark
11\15 to 14\19 (880.0¢ to 884.2¢)
TAMNAMS information
Descends from
4L 3s (smitonic)
Related MOS scales
Parent
4L 11s
Sister
4L 15s
Daughters
19L 15s
15L 19s
Equal tunings
Equalized (L:s = 1:1)
5\19 (315.8¢)
Supersoft (L:s = 4:3)
19\72 (316.7¢)
Soft (L:s = 3:2)
14\53 (317.0¢)
Semisoft (L:s = 5:3)
23\87 (317.2¢)
Basic (L:s = 2:1)
9\34 (317.6¢)
Semihard (L:s = 5:2)
22\83 (318.1¢)
Hard (L:s = 3:1)
13\49 (318.4¢)
Superhard (L:s = 4:1)
17\64 (318.8¢)
Collapsed (L:s = 1:0)
4\15 (320.0¢)
| ↖14L 3s | ↑15L 3s | 16L 3s↗ |
| ←14L 4s | 15L 4s | 16L 4s→ |
| ↙14L 5s | ↓15L 5s | 16L 5s↘ |
┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLsLLLLsLLLLsLLLL
15L 19s
15L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 4 small steps, repeating every octave. 15L 4s is a great-grandchild scale of 4L 3s, expanding it by 12 tones. Generators that produce this scale range from 315.8¢ to 320¢, or from 880¢ to 884.2¢.
It is notable as the MOS scale of Catakleismic[19].
Scale tree
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\19 | 315.789 | 884.211 | 1:1 | 1.000 | Equalized 15L 4s | |||||
| 29\110 | 316.364 | 883.636 | 6:5 | 1.200 | ||||||
| 24\91 | 316.484 | 883.516 | 5:4 | 1.250 | ||||||
| 43\163 | 316.564 | 883.436 | 9:7 | 1.286 | ||||||
| 19\72 | 316.667 | 883.333 | 4:3 | 1.333 | Supersoft 15L 4s | |||||
| 52\197 | 316.751 | 883.249 | 11:8 | 1.375 | Catakleismic | |||||
| 33\125 | 316.800 | 883.200 | 7:5 | 1.400 | ||||||
| 47\178 | 316.854 | 883.146 | 10:7 | 1.429 | ||||||
| 14\53 | 316.981 | 883.019 | 3:2 | 1.500 | Soft 15L 4s | |||||
| 51\193 | 317.098 | 882.902 | 11:7 | 1.571 | ||||||
| 37\140 | 317.143 | 882.857 | 8:5 | 1.600 | ||||||
| 60\227 | 317.181 | 882.819 | 13:8 | 1.625 | ||||||
| 23\87 | 317.241 | 882.759 | 5:3 | 1.667 | Semisoft 15L 4s | |||||
| 55\208 | 317.308 | 882.692 | 12:7 | 1.714 | ||||||
| 32\121 | 317.355 | 882.645 | 7:4 | 1.750 | ||||||
| 41\155 | 317.419 | 882.581 | 9:5 | 1.800 | ||||||
| 9\34 | 317.647 | 882.353 | 2:1 | 2.000 | Basic 15L 4s Scales with tunings softer than this are proper | |||||
| 40\151 | 317.881 | 882.119 | 9:4 | 2.250 | ||||||
| 31\117 | 317.949 | 882.051 | 7:3 | 2.333 | ||||||
| 53\200 | 318.000 | 882.000 | 12:5 | 2.400 | ||||||
| 22\83 | 318.072 | 881.928 | 5:2 | 2.500 | Semihard 15L 4s | |||||
| 57\215 | 318.140 | 881.860 | 13:5 | 2.600 | ||||||
| 35\132 | 318.182 | 881.818 | 8:3 | 2.667 | ||||||
| 48\181 | 318.232 | 881.768 | 11:4 | 2.750 | ||||||
| 13\49 | 318.367 | 881.633 | 3:1 | 3.000 | Hard 15L 4s | |||||
| 43\162 | 318.519 | 881.481 | 10:3 | 3.333 | ||||||
| 30\113 | 318.584 | 881.416 | 7:2 | 3.500 | ||||||
| 47\177 | 318.644 | 881.356 | 11:3 | 3.667 | ||||||
| 17\64 | 318.750 | 881.250 | 4:1 | 4.000 | Superhard 15L 4s | |||||
| 38\143 | 318.881 | 881.119 | 9:2 | 4.500 | ||||||
| 21\79 | 318.987 | 881.013 | 5:1 | 5.000 | ||||||
| 25\94 | 319.149 | 880.851 | 6:1 | 6.000 | ||||||
| 4\15 | 320.000 | 880.000 | 1:0 | → ∞ | Collapsed 15L 4s | |||||