4L 18s
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Scale structure
Step pattern
LssssLsssssLssssLsssss
sssssLssssLsssssLssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
5\22 to 1\4 (272.7¢ to 300.0¢)
Dark
1\4 to 6\22 (300.0¢ to 327.3¢)
TAMNAMS information
Descends from
4L 6s (lime)
Ancestor's step ratio range
4:1 to 1:0 (ultrahard)
Related MOS scales
Parent
4L 14s
Sister
18L 4s
Daughters
22L 4s, 4L 22s
Neutralized
8L 14s
2-Flought
26L 18s, 4L 40s
Equal tunings
Equalized (L:s = 1:1)
5\22 (272.7¢)
Supersoft (L:s = 4:3)
16\70 (274.3¢)
Soft (L:s = 3:2)
11\48 (275.0¢)
Semisoft (L:s = 5:3)
17\74 (275.7¢)
Basic (L:s = 2:1)
6\26 (276.9¢)
Semihard (L:s = 5:2)
13\56 (278.6¢)
Hard (L:s = 3:1)
7\30 (280.0¢)
Superhard (L:s = 4:1)
8\34 (282.4¢)
Collapsed (L:s = 1:0)
1\4 (300.0¢)
| ↖ 3L 17s | ↑ 4L 17s | 5L 17s ↗ |
| ← 3L 18s | 4L 18s | 5L 18s → |
| ↙ 3L 19s | ↓ 4L 19s | 5L 19s ↘ |
┌╥┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║│││││║││││║││││││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssLssssLsssssLssssL
4L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 18 small steps, with a period of 2 large steps and 9 small steps that repeats every 600.0¢, or twice every octave. 4L 18s is a great-grandchild scale of 4L 6s, expanding it by 12 tones. Generators that produce this scale range from 272.7¢ to 300¢, or from 300¢ to 327.3¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 20|0(2) | 1 | LssssLsssssLssssLsssss |
| 18|2(2) | 6 | LsssssLssssLsssssLssss |
| 16|4(2) | 11 | sLssssLsssssLssssLssss |
| 14|6(2) | 5 | sLsssssLssssLsssssLsss |
| 12|8(2) | 10 | ssLssssLsssssLssssLsss |
| 10|10(2) | 4 | ssLsssssLssssLsssssLss |
| 8|12(2) | 9 | sssLssssLsssssLssssLss |
| 6|14(2) | 3 | sssLsssssLssssLsssssLs |
| 4|16(2) | 8 | ssssLssssLsssssLssssLs |
| 2|18(2) | 2 | ssssLsssssLssssLsssssL |
| 0|20(2) | 7 | sssssLssssLsssssLssssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\22 | 272.727 | 327.273 | 1:1 | 1.000 | Equalized 4L 18s | |||||
| 26\114 | 273.684 | 326.316 | 6:5 | 1.200 | ||||||
| 21\92 | 273.913 | 326.087 | 5:4 | 1.250 | ||||||
| 37\162 | 274.074 | 325.926 | 9:7 | 1.286 | ||||||
| 16\70 | 274.286 | 325.714 | 4:3 | 1.333 | Supersoft 4L 18s | |||||
| 43\188 | 274.468 | 325.532 | 11:8 | 1.375 | ||||||
| 27\118 | 274.576 | 325.424 | 7:5 | 1.400 | ||||||
| 38\166 | 274.699 | 325.301 | 10:7 | 1.429 | ||||||
| 11\48 | 275.000 | 325.000 | 3:2 | 1.500 | Soft 4L 18s | |||||
| 39\170 | 275.294 | 324.706 | 11:7 | 1.571 | ||||||
| 28\122 | 275.410 | 324.590 | 8:5 | 1.600 | ||||||
| 45\196 | 275.510 | 324.490 | 13:8 | 1.625 | ||||||
| 17\74 | 275.676 | 324.324 | 5:3 | 1.667 | Semisoft 4L 18s | |||||
| 40\174 | 275.862 | 324.138 | 12:7 | 1.714 | ||||||
| 23\100 | 276.000 | 324.000 | 7:4 | 1.750 | ||||||
| 29\126 | 276.190 | 323.810 | 9:5 | 1.800 | ||||||
| 6\26 | 276.923 | 323.077 | 2:1 | 2.000 | Basic 4L 18s Scales with tunings softer than this are proper | |||||
| 25\108 | 277.778 | 322.222 | 9:4 | 2.250 | ||||||
| 19\82 | 278.049 | 321.951 | 7:3 | 2.333 | ||||||
| 32\138 | 278.261 | 321.739 | 12:5 | 2.400 | ||||||
| 13\56 | 278.571 | 321.429 | 5:2 | 2.500 | Semihard 4L 18s | |||||
| 33\142 | 278.873 | 321.127 | 13:5 | 2.600 | ||||||
| 20\86 | 279.070 | 320.930 | 8:3 | 2.667 | ||||||
| 27\116 | 279.310 | 320.690 | 11:4 | 2.750 | ||||||
| 7\30 | 280.000 | 320.000 | 3:1 | 3.000 | Hard 4L 18s | |||||
| 22\94 | 280.851 | 319.149 | 10:3 | 3.333 | ||||||
| 15\64 | 281.250 | 318.750 | 7:2 | 3.500 | ||||||
| 23\98 | 281.633 | 318.367 | 11:3 | 3.667 | ||||||
| 8\34 | 282.353 | 317.647 | 4:1 | 4.000 | Superhard 4L 18s | |||||
| 17\72 | 283.333 | 316.667 | 9:2 | 4.500 | ||||||
| 9\38 | 284.211 | 315.789 | 5:1 | 5.000 | ||||||
| 10\42 | 285.714 | 314.286 | 6:1 | 6.000 | ||||||
| 1\4 | 300.000 | 300.000 | 1:0 | → ∞ | Collapsed 4L 18s | |||||