18L 9s
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Scale structure
Step pattern
LLsLLsLLsLLsLLsLLsLLsLLsLLs
sLLsLLsLLsLLsLLsLLsLLsLLsLL
Equave
2/1 (1200.0¢)
Period
1\9 (133.3¢)
Generator size
Bright
1\27 to 1\18 (44.4¢ to 66.7¢)
Dark
1\18 to 2\27 (66.7¢ to 88.9¢)
TAMNAMS information
Descends from
9L 9s
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
9L 9s
Sister
9L 18s
Daughters
27L 18s, 18L 27s
Neutralized
9L 18s
2-Flought
45L 9s, 18L 36s
Equal tunings
Equalized (L:s = 1:1)
1\27 (44.4¢)
Supersoft (L:s = 4:3)
4\99 (48.5¢)
Soft (L:s = 3:2)
3\72 (50.0¢)
Semisoft (L:s = 5:3)
5\117 (51.3¢)
Basic (L:s = 2:1)
2\45 (53.3¢)
Semihard (L:s = 5:2)
5\108 (55.6¢)
Hard (L:s = 3:1)
3\63 (57.1¢)
Superhard (L:s = 4:1)
4\81 (59.3¢)
Collapsed (L:s = 1:0)
1\18 (66.7¢)
| ↖ 17L 8s | ↑ 18L 8s | 19L 8s ↗ |
| ← 17L 9s | 18L 9s | 19L 9s → |
| ↙ 17L 10s | ↓ 18L 10s | 19L 10s ↘ |
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║│║║│║║│║║│║║│║║││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLsLLsLLsLLsLLsLLsLLsLL
18L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 18 large steps and 9 small steps, with a period of 2 large steps and 1 small step that repeats every 133.3¢, or 9 times every octave. 18L 9s is a child scale of 9L 9s, expanding it by 9 tones. Generators that produce this scale range from 44.4¢ to 66.7¢, or from 66.7¢ to 88.9¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\27 | 44.444 | 88.889 | 1:1 | 1.000 | Equalized 18L 9s | |||||
| 6\153 | 47.059 | 86.275 | 6:5 | 1.200 | ||||||
| 5\126 | 47.619 | 85.714 | 5:4 | 1.250 | ||||||
| 9\225 | 48.000 | 85.333 | 9:7 | 1.286 | ||||||
| 4\99 | 48.485 | 84.848 | 4:3 | 1.333 | Supersoft 18L 9s | |||||
| 11\270 | 48.889 | 84.444 | 11:8 | 1.375 | ||||||
| 7\171 | 49.123 | 84.211 | 7:5 | 1.400 | ||||||
| 10\243 | 49.383 | 83.951 | 10:7 | 1.429 | ||||||
| 3\72 | 50.000 | 83.333 | 3:2 | 1.500 | Soft 18L 9s | |||||
| 11\261 | 50.575 | 82.759 | 11:7 | 1.571 | ||||||
| 8\189 | 50.794 | 82.540 | 8:5 | 1.600 | ||||||
| 13\306 | 50.980 | 82.353 | 13:8 | 1.625 | ||||||
| 5\117 | 51.282 | 82.051 | 5:3 | 1.667 | Semisoft 18L 9s | |||||
| 12\279 | 51.613 | 81.720 | 12:7 | 1.714 | ||||||
| 7\162 | 51.852 | 81.481 | 7:4 | 1.750 | ||||||
| 9\207 | 52.174 | 81.159 | 9:5 | 1.800 | ||||||
| 2\45 | 53.333 | 80.000 | 2:1 | 2.000 | Basic 18L 9s | |||||
| 9\198 | 54.545 | 78.788 | 9:4 | 2.250 | ||||||
| 7\153 | 54.902 | 78.431 | 7:3 | 2.333 | ||||||
| 12\261 | 55.172 | 78.161 | 12:5 | 2.400 | ||||||
| 5\108 | 55.556 | 77.778 | 5:2 | 2.500 | Semihard 18L 9s | |||||
| 13\279 | 55.914 | 77.419 | 13:5 | 2.600 | ||||||
| 8\171 | 56.140 | 77.193 | 8:3 | 2.667 | ||||||
| 11\234 | 56.410 | 76.923 | 11:4 | 2.750 | ||||||
| 3\63 | 57.143 | 76.190 | 3:1 | 3.000 | Hard 18L 9s | |||||
| 10\207 | 57.971 | 75.362 | 10:3 | 3.333 | ||||||
| 7\144 | 58.333 | 75.000 | 7:2 | 3.500 | ||||||
| 11\225 | 58.667 | 74.667 | 11:3 | 3.667 | ||||||
| 4\81 | 59.259 | 74.074 | 4:1 | 4.000 | Superhard 18L 9s | |||||
| 9\180 | 60.000 | 73.333 | 9:2 | 4.500 | ||||||
| 5\99 | 60.606 | 72.727 | 5:1 | 5.000 | ||||||
| 6\117 | 61.538 | 71.795 | 6:1 | 6.000 | ||||||
| 1\18 | 66.667 | 66.667 | 1:0 | → ∞ | Collapsed 18L 9s | |||||
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