14L 4s
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Scale structure
Step pattern
LLLLsLLLsLLLLsLLLs
sLLLsLLLLsLLLsLLLL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
5\18 to 4\14 (333.3¢ to 342.9¢)
Dark
3\14 to 4\18 (257.1¢ to 266.7¢)
TAMNAMS information
Descends from
4L 6s (lime)
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Related MOS scales
Parent
4L 10s
Sister
4L 14s
Daughters
18L 14s, 14L 18s
Neutralized
10L 8s
2-Flought
32L 4s, 14L 22s
Equal tunings
Equalized (L:s = 1:1)
5\18 (333.3¢)
Supersoft (L:s = 4:3)
19\68 (335.3¢)
Soft (L:s = 3:2)
14\50 (336.0¢)
Semisoft (L:s = 5:3)
23\82 (336.6¢)
Basic (L:s = 2:1)
9\32 (337.5¢)
Semihard (L:s = 5:2)
22\78 (338.5¢)
Hard (L:s = 3:1)
13\46 (339.1¢)
Superhard (L:s = 4:1)
17\60 (340.0¢)
Collapsed (L:s = 1:0)
4\14 (342.9¢)
| ↖ 13L 3s | ↑ 14L 3s | 15L 3s ↗ |
| ← 13L 4s | 14L 4s | 15L 4s → |
| ↙ 13L 5s | ↓ 14L 5s | 15L 5s ↘ |
┌╥╥╥╥┬╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║│║║║║│║║║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLsLLLLsLLLsLLLL
14L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 4 small steps, with a period of 7 large steps and 2 small steps that repeats every 600.0¢, or twice every octave. 14L 4s is a grandchild scale of 4L 6s, expanding it by 8 tones. Generators that produce this scale range from 333.3¢ to 342.9¢, or from 257.1¢ to 266.7¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(2) | 1 | LLLLsLLLsLLLLsLLLs |
| 14|2(2) | 6 | LLLsLLLLsLLLsLLLLs |
| 12|4(2) | 2 | LLLsLLLsLLLLsLLLsL |
| 10|6(2) | 7 | LLsLLLLsLLLsLLLLsL |
| 8|8(2) | 3 | LLsLLLsLLLLsLLLsLL |
| 6|10(2) | 8 | LsLLLLsLLLsLLLLsLL |
| 4|12(2) | 4 | LsLLLsLLLLsLLLsLLL |
| 2|14(2) | 9 | sLLLLsLLLsLLLLsLLL |
| 0|16(2) | 5 | sLLLsLLLLsLLLsLLLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\18 | 333.333 | 266.667 | 1:1 | 1.000 | Equalized 14L 4s | |||||
| 29\104 | 334.615 | 265.385 | 6:5 | 1.200 | ||||||
| 24\86 | 334.884 | 265.116 | 5:4 | 1.250 | ||||||
| 43\154 | 335.065 | 264.935 | 9:7 | 1.286 | ||||||
| 19\68 | 335.294 | 264.706 | 4:3 | 1.333 | Supersoft 14L 4s | |||||
| 52\186 | 335.484 | 264.516 | 11:8 | 1.375 | ||||||
| 33\118 | 335.593 | 264.407 | 7:5 | 1.400 | ||||||
| 47\168 | 335.714 | 264.286 | 10:7 | 1.429 | ||||||
| 14\50 | 336.000 | 264.000 | 3:2 | 1.500 | Soft 14L 4s | |||||
| 51\182 | 336.264 | 263.736 | 11:7 | 1.571 | ||||||
| 37\132 | 336.364 | 263.636 | 8:5 | 1.600 | ||||||
| 60\214 | 336.449 | 263.551 | 13:8 | 1.625 | ||||||
| 23\82 | 336.585 | 263.415 | 5:3 | 1.667 | Semisoft 14L 4s | |||||
| 55\196 | 336.735 | 263.265 | 12:7 | 1.714 | ||||||
| 32\114 | 336.842 | 263.158 | 7:4 | 1.750 | ||||||
| 41\146 | 336.986 | 263.014 | 9:5 | 1.800 | ||||||
| 9\32 | 337.500 | 262.500 | 2:1 | 2.000 | Basic 14L 4s Scales with tunings softer than this are proper | |||||
| 40\142 | 338.028 | 261.972 | 9:4 | 2.250 | ||||||
| 31\110 | 338.182 | 261.818 | 7:3 | 2.333 | ||||||
| 53\188 | 338.298 | 261.702 | 12:5 | 2.400 | ||||||
| 22\78 | 338.462 | 261.538 | 5:2 | 2.500 | Semihard 14L 4s | |||||
| 57\202 | 338.614 | 261.386 | 13:5 | 2.600 | ||||||
| 35\124 | 338.710 | 261.290 | 8:3 | 2.667 | ||||||
| 48\170 | 338.824 | 261.176 | 11:4 | 2.750 | ||||||
| 13\46 | 339.130 | 260.870 | 3:1 | 3.000 | Hard 14L 4s | |||||
| 43\152 | 339.474 | 260.526 | 10:3 | 3.333 | ||||||
| 30\106 | 339.623 | 260.377 | 7:2 | 3.500 | ||||||
| 47\166 | 339.759 | 260.241 | 11:3 | 3.667 | ||||||
| 17\60 | 340.000 | 260.000 | 4:1 | 4.000 | Superhard 14L 4s | |||||
| 38\134 | 340.299 | 259.701 | 9:2 | 4.500 | ||||||
| 21\74 | 340.541 | 259.459 | 5:1 | 5.000 | ||||||
| 25\88 | 340.909 | 259.091 | 6:1 | 6.000 | ||||||
| 4\14 | 342.857 | 257.143 | 1:0 | → ∞ | Collapsed 14L 4s | |||||