4L 14s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsssLssssLsssLssss
ssssLsssLssssLsssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
4\18 to 1\4 (266.7¢ to 300.0¢)
Dark
1\4 to 5\18 (300.0¢ to 333.3¢)
TAMNAMS information
Descends from
4L 6s (lime)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
4L 10s
Sister
14L 4s
Daughters
18L 4s, 4L 18s
Neutralized
8L 10s
2-Flought
22L 14s, 4L 32s
Equal tunings
Equalized (L:s = 1:1)
4\18 (266.7¢)
Supersoft (L:s = 4:3)
13\58 (269.0¢)
Soft (L:s = 3:2)
9\40 (270.0¢)
Semisoft (L:s = 5:3)
14\62 (271.0¢)
Basic (L:s = 2:1)
5\22 (272.7¢)
Semihard (L:s = 5:2)
11\48 (275.0¢)
Hard (L:s = 3:1)
6\26 (276.9¢)
Superhard (L:s = 4:1)
7\30 (280.0¢)
Collapsed (L:s = 1:0)
1\4 (300.0¢)
| ↖ 3L 13s | ↑ 4L 13s | 5L 13s ↗ |
| ← 3L 14s | 4L 14s | 5L 14s → |
| ↙ 3L 15s | ↓ 4L 15s | 5L 15s ↘ |
┌╥┬┬┬╥┬┬┬┬╥┬┬┬╥┬┬┬┬┐ │║│││║││││║│││║│││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssLsssLssssLsssL
4L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 14 small steps, with a period of 2 large steps and 7 small steps that repeats every 600.0¢, or twice every octave. 4L 14s is a grandchild scale of 4L 6s, expanding it by 8 tones. Generators that produce this scale range from 266.7¢ to 300¢, or from 300¢ to 333.3¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(2) | 1 | LsssLssssLsssLssss |
| 14|2(2) | 5 | LssssLsssLssssLsss |
| 12|4(2) | 9 | sLsssLssssLsssLsss |
| 10|6(2) | 4 | sLssssLsssLssssLss |
| 8|8(2) | 8 | ssLsssLssssLsssLss |
| 6|10(2) | 3 | ssLssssLsssLssssLs |
| 4|12(2) | 7 | sssLsssLssssLsssLs |
| 2|14(2) | 2 | sssLssssLsssLssssL |
| 0|16(2) | 6 | ssssLsssLssssLsssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\18 | 266.667 | 333.333 | 1:1 | 1.000 | Equalized 4L 14s | |||||
| 21\94 | 268.085 | 331.915 | 6:5 | 1.200 | ||||||
| 17\76 | 268.421 | 331.579 | 5:4 | 1.250 | ||||||
| 30\134 | 268.657 | 331.343 | 9:7 | 1.286 | ||||||
| 13\58 | 268.966 | 331.034 | 4:3 | 1.333 | Supersoft 4L 14s | |||||
| 35\156 | 269.231 | 330.769 | 11:8 | 1.375 | ||||||
| 22\98 | 269.388 | 330.612 | 7:5 | 1.400 | ||||||
| 31\138 | 269.565 | 330.435 | 10:7 | 1.429 | ||||||
| 9\40 | 270.000 | 330.000 | 3:2 | 1.500 | Soft 4L 14s | |||||
| 32\142 | 270.423 | 329.577 | 11:7 | 1.571 | ||||||
| 23\102 | 270.588 | 329.412 | 8:5 | 1.600 | ||||||
| 37\164 | 270.732 | 329.268 | 13:8 | 1.625 | ||||||
| 14\62 | 270.968 | 329.032 | 5:3 | 1.667 | Semisoft 4L 14s | |||||
| 33\146 | 271.233 | 328.767 | 12:7 | 1.714 | ||||||
| 19\84 | 271.429 | 328.571 | 7:4 | 1.750 | ||||||
| 24\106 | 271.698 | 328.302 | 9:5 | 1.800 | ||||||
| 5\22 | 272.727 | 327.273 | 2:1 | 2.000 | Basic 4L 14s Scales with tunings softer than this are proper | |||||
| 21\92 | 273.913 | 326.087 | 9:4 | 2.250 | ||||||
| 16\70 | 274.286 | 325.714 | 7:3 | 2.333 | ||||||
| 27\118 | 274.576 | 325.424 | 12:5 | 2.400 | ||||||
| 11\48 | 275.000 | 325.000 | 5:2 | 2.500 | Semihard 4L 14s | |||||
| 28\122 | 275.410 | 324.590 | 13:5 | 2.600 | ||||||
| 17\74 | 275.676 | 324.324 | 8:3 | 2.667 | ||||||
| 23\100 | 276.000 | 324.000 | 11:4 | 2.750 | ||||||
| 6\26 | 276.923 | 323.077 | 3:1 | 3.000 | Hard 4L 14s | |||||
| 19\82 | 278.049 | 321.951 | 10:3 | 3.333 | ||||||
| 13\56 | 278.571 | 321.429 | 7:2 | 3.500 | ||||||
| 20\86 | 279.070 | 320.930 | 11:3 | 3.667 | ||||||
| 7\30 | 280.000 | 320.000 | 4:1 | 4.000 | Superhard 4L 14s | |||||
| 15\64 | 281.250 | 318.750 | 9:2 | 4.500 | ||||||
| 8\34 | 282.353 | 317.647 | 5:1 | 5.000 | ||||||
| 9\38 | 284.211 | 315.789 | 6:1 | 6.000 | ||||||
| 1\4 | 300.000 | 300.000 | 1:0 | → ∞ | Collapsed 4L 14s | |||||