6L 18s
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Scale structure
Step pattern
LsssLsssLsssLsssLsssLsss
sssLsssLsssLsssLsssLsssL
Equave
2/1 (1200.0¢)
Period
1\6 (200.0¢)
Generator size
Bright
3\24 to 1\6 (150.0¢ to 200.0¢)
Dark
0\6 to 1\24 (0.0¢ to 50.0¢)
TAMNAMS information
Descends from
6L 6s
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
6L 12s
Sister
18L 6s
Daughters
24L 6s, 6L 24s
Neutralized
12L 12s
2-Flought
30L 18s, 6L 42s
Equal tunings
Equalized (L:s = 1:1)
3\24 (150.0¢)
Supersoft (L:s = 4:3)
10\78 (153.8¢)
Soft (L:s = 3:2)
7\54 (155.6¢)
Semisoft (L:s = 5:3)
11\84 (157.1¢)
Basic (L:s = 2:1)
4\30 (160.0¢)
Semihard (L:s = 5:2)
9\66 (163.6¢)
Hard (L:s = 3:1)
5\36 (166.7¢)
Superhard (L:s = 4:1)
6\42 (171.4¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 17s | ↑ 6L 17s | 7L 17s ↗ |
| ← 5L 18s | 6L 18s | 7L 18s → |
| ↙ 5L 19s | ↓ 6L 19s | 7L 19s ↘ |
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║│││║│││║│││║│││║│││║││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLsssLsssLsssLsssL
6L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 18 small steps, with a period of 1 large step and 3 small steps that repeats every 200.0¢, or 6 times every octave. 6L 18s is a grandchild scale of 6L 6s, expanding it by 12 tones. Generators that produce this scale range from 150¢ to 200¢, or from 0¢ to 50¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0(6) | 1 | LsssLsssLsssLsssLsssLsss |
| 12|6(6) | 4 | sLsssLsssLsssLsssLsssLss |
| 6|12(6) | 3 | ssLsssLsssLsssLsssLsssLs |
| 0|18(6) | 2 | sssLsssLsssLsssLsssLsssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 3\24 | 150.000 | 50.000 | 1:1 | 1.000 | Equalized 6L 18s | |||||
| 16\126 | 152.381 | 47.619 | 6:5 | 1.200 | ||||||
| 13\102 | 152.941 | 47.059 | 5:4 | 1.250 | ||||||
| 23\180 | 153.333 | 46.667 | 9:7 | 1.286 | ||||||
| 10\78 | 153.846 | 46.154 | 4:3 | 1.333 | Supersoft 6L 18s | |||||
| 27\210 | 154.286 | 45.714 | 11:8 | 1.375 | ||||||
| 17\132 | 154.545 | 45.455 | 7:5 | 1.400 | ||||||
| 24\186 | 154.839 | 45.161 | 10:7 | 1.429 | ||||||
| 7\54 | 155.556 | 44.444 | 3:2 | 1.500 | Soft 6L 18s | |||||
| 25\192 | 156.250 | 43.750 | 11:7 | 1.571 | ||||||
| 18\138 | 156.522 | 43.478 | 8:5 | 1.600 | ||||||
| 29\222 | 156.757 | 43.243 | 13:8 | 1.625 | ||||||
| 11\84 | 157.143 | 42.857 | 5:3 | 1.667 | Semisoft 6L 18s | |||||
| 26\198 | 157.576 | 42.424 | 12:7 | 1.714 | ||||||
| 15\114 | 157.895 | 42.105 | 7:4 | 1.750 | ||||||
| 19\144 | 158.333 | 41.667 | 9:5 | 1.800 | ||||||
| 4\30 | 160.000 | 40.000 | 2:1 | 2.000 | Basic 6L 18s Scales with tunings softer than this are proper | |||||
| 17\126 | 161.905 | 38.095 | 9:4 | 2.250 | ||||||
| 13\96 | 162.500 | 37.500 | 7:3 | 2.333 | ||||||
| 22\162 | 162.963 | 37.037 | 12:5 | 2.400 | ||||||
| 9\66 | 163.636 | 36.364 | 5:2 | 2.500 | Semihard 6L 18s | |||||
| 23\168 | 164.286 | 35.714 | 13:5 | 2.600 | ||||||
| 14\102 | 164.706 | 35.294 | 8:3 | 2.667 | ||||||
| 19\138 | 165.217 | 34.783 | 11:4 | 2.750 | ||||||
| 5\36 | 166.667 | 33.333 | 3:1 | 3.000 | Hard 6L 18s | |||||
| 16\114 | 168.421 | 31.579 | 10:3 | 3.333 | ||||||
| 11\78 | 169.231 | 30.769 | 7:2 | 3.500 | ||||||
| 17\120 | 170.000 | 30.000 | 11:3 | 3.667 | ||||||
| 6\42 | 171.429 | 28.571 | 4:1 | 4.000 | Superhard 6L 18s | |||||
| 13\90 | 173.333 | 26.667 | 9:2 | 4.500 | ||||||
| 7\48 | 175.000 | 25.000 | 5:1 | 5.000 | ||||||
| 8\54 | 177.778 | 22.222 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 0.000 | 1:0 | → ∞ | Collapsed 6L 18s | |||||