9L 18s
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Scale structure
Step pattern
LssLssLssLssLssLssLssLssLss
ssLssLssLssLssLssLssLssLssL
Equave
2/1 (1200.0¢)
Period
1\9 (133.3¢)
Generator size
Bright
2\27 to 1\9 (88.9¢ to 133.3¢)
Dark
0\9 to 1\27 (0.0¢ to 44.4¢)
TAMNAMS information
Descends from
9L 9s
Required step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
9L 9s
Sister
18L 9s
Daughters
27L 9s, 9L 27s
Neutralized
18L 9s
Equal tunings
Equalized (L:s = 1:1)
2\27 (88.9¢)
Supersoft (L:s = 4:3)
7\90 (93.3¢)
Soft (L:s = 3:2)
5\63 (95.2¢)
Semisoft (L:s = 5:3)
8\99 (97.0¢)
Basic (L:s = 2:1)
3\36 (100.0¢)
Semihard (L:s = 5:2)
7\81 (103.7¢)
Hard (L:s = 3:1)
4\45 (106.7¢)
Superhard (L:s = 4:1)
5\54 (111.1¢)
Collapsed (L:s = 1:0)
1\9 (133.3¢)
| ↖8L 17s | ↑9L 17s | 10L 17s↗ |
| ←8L 18s | 9L 18s | 10L 18s→ |
| ↙8L 19s | ↓9L 19s | 10L 19s↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║││║││║││║││║│││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssLssLssLssLssL
9L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 18 small steps, with a period of 1 large step and 2 small steps that repeats every 133.3¢, or 9 times every octave. 9L 18s is a child scale of 9L 9s, expanding it by 9 tones. Generators that produce this scale range from 88.9¢ to 133.3¢, or from 0¢ to 44.4¢.
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\27 | 88.889 | 44.444 | 1:1 | 1.000 | Equalized 9L 18s | |||||
| 11\144 | 91.667 | 41.667 | 6:5 | 1.200 | ||||||
| 9\117 | 92.308 | 41.026 | 5:4 | 1.250 | ||||||
| 16\207 | 92.754 | 40.580 | 9:7 | 1.286 | ||||||
| 7\90 | 93.333 | 40.000 | 4:3 | 1.333 | Supersoft 9L 18s | |||||
| 19\243 | 93.827 | 39.506 | 11:8 | 1.375 | ||||||
| 12\153 | 94.118 | 39.216 | 7:5 | 1.400 | ||||||
| 17\216 | 94.444 | 38.889 | 10:7 | 1.429 | ||||||
| 5\63 | 95.238 | 38.095 | 3:2 | 1.500 | Soft 9L 18s | |||||
| 18\225 | 96.000 | 37.333 | 11:7 | 1.571 | ||||||
| 13\162 | 96.296 | 37.037 | 8:5 | 1.600 | ||||||
| 21\261 | 96.552 | 36.782 | 13:8 | 1.625 | ||||||
| 8\99 | 96.970 | 36.364 | 5:3 | 1.667 | Semisoft 9L 18s | |||||
| 19\234 | 97.436 | 35.897 | 12:7 | 1.714 | ||||||
| 11\135 | 97.778 | 35.556 | 7:4 | 1.750 | ||||||
| 14\171 | 98.246 | 35.088 | 9:5 | 1.800 | ||||||
| 3\36 | 100.000 | 33.333 | 2:1 | 2.000 | Basic 9L 18s Scales with tunings softer than this are proper | |||||
| 13\153 | 101.961 | 31.373 | 9:4 | 2.250 | ||||||
| 10\117 | 102.564 | 30.769 | 7:3 | 2.333 | ||||||
| 17\198 | 103.030 | 30.303 | 12:5 | 2.400 | ||||||
| 7\81 | 103.704 | 29.630 | 5:2 | 2.500 | Semihard 9L 18s | |||||
| 18\207 | 104.348 | 28.986 | 13:5 | 2.600 | ||||||
| 11\126 | 104.762 | 28.571 | 8:3 | 2.667 | ||||||
| 15\171 | 105.263 | 28.070 | 11:4 | 2.750 | ||||||
| 4\45 | 106.667 | 26.667 | 3:1 | 3.000 | Hard 9L 18s | |||||
| 13\144 | 108.333 | 25.000 | 10:3 | 3.333 | ||||||
| 9\99 | 109.091 | 24.242 | 7:2 | 3.500 | ||||||
| 14\153 | 109.804 | 23.529 | 11:3 | 3.667 | ||||||
| 5\54 | 111.111 | 22.222 | 4:1 | 4.000 | Superhard 9L 18s | |||||
| 11\117 | 112.821 | 20.513 | 9:2 | 4.500 | ||||||
| 6\63 | 114.286 | 19.048 | 5:1 | 5.000 | ||||||
| 7\72 | 116.667 | 16.667 | 6:1 | 6.000 | ||||||
| 1\9 | 133.333 | 0.000 | 1:0 | → ∞ | Collapsed 9L 18s | |||||
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