8L 9s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\17 to 1\8 (141.2¢ to 150.0¢)
Dark
7\8 to 15\17 (1050.0¢ to 1058.8¢)
TAMNAMS information
Descends from
8L 1s (subneutralic)
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
8L 1s
Sister
9L 8s
Daughters
17L 8s, 8L 17s
Neutralized
16L 1s
2-Flought
25L 9s, 8L 26s
Equal tunings
Equalized (L:s = 1:1)
2\17 (141.2¢)
Supersoft (L:s = 4:3)
7\59 (142.4¢)
Soft (L:s = 3:2)
5\42 (142.9¢)
Semisoft (L:s = 5:3)
8\67 (143.3¢)
Basic (L:s = 2:1)
3\25 (144.0¢)
Semihard (L:s = 5:2)
7\58 (144.8¢)
Hard (L:s = 3:1)
4\33 (145.5¢)
Superhard (L:s = 4:1)
5\41 (146.3¢)
Collapsed (L:s = 1:0)
1\8 (150.0¢)
| ↖ 7L 8s | ↑ 8L 8s | 9L 8s ↗ |
| ← 7L 9s | 8L 9s | 9L 9s → |
| ↙ 7L 10s | ↓ 8L 10s | 9L 10s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│││ │││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLsLsLsL
8L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 9 small steps, repeating every octave. 8L 9s is a child scale of 8L 1s, expanding it by 8 tones. Generators that produce this scale range from 141.2¢ to 150¢, or from 1050¢ to 1058.8¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0 | 1 | LsLsLsLsLsLsLsLss |
| 15|1 | 3 | LsLsLsLsLsLsLssLs |
| 14|2 | 5 | LsLsLsLsLsLssLsLs |
| 13|3 | 7 | LsLsLsLsLssLsLsLs |
| 12|4 | 9 | LsLsLsLssLsLsLsLs |
| 11|5 | 11 | LsLsLssLsLsLsLsLs |
| 10|6 | 13 | LsLssLsLsLsLsLsLs |
| 9|7 | 15 | LssLsLsLsLsLsLsLs |
| 8|8 | 17 | sLsLsLsLsLsLsLsLs |
| 7|9 | 2 | sLsLsLsLsLsLsLssL |
| 6|10 | 4 | sLsLsLsLsLsLssLsL |
| 5|11 | 6 | sLsLsLsLsLssLsLsL |
| 4|12 | 8 | sLsLsLsLssLsLsLsL |
| 3|13 | 10 | sLsLsLssLsLsLsLsL |
| 2|14 | 12 | sLsLssLsLsLsLsLsL |
| 1|15 | 14 | sLssLsLsLsLsLsLsL |
| 0|16 | 16 | ssLsLsLsLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\17 | 141.176 | 1058.824 | 1:1 | 1.000 | Equalized 8L 9s | |||||
| 11\93 | 141.935 | 1058.065 | 6:5 | 1.200 | ||||||
| 9\76 | 142.105 | 1057.895 | 5:4 | 1.250 | ||||||
| 16\135 | 142.222 | 1057.778 | 9:7 | 1.286 | ||||||
| 7\59 | 142.373 | 1057.627 | 4:3 | 1.333 | Supersoft 8L 9s | |||||
| 19\160 | 142.500 | 1057.500 | 11:8 | 1.375 | ||||||
| 12\101 | 142.574 | 1057.426 | 7:5 | 1.400 | ||||||
| 17\143 | 142.657 | 1057.343 | 10:7 | 1.429 | ||||||
| 5\42 | 142.857 | 1057.143 | 3:2 | 1.500 | Soft 8L 9s | |||||
| 18\151 | 143.046 | 1056.954 | 11:7 | 1.571 | ||||||
| 13\109 | 143.119 | 1056.881 | 8:5 | 1.600 | ||||||
| 21\176 | 143.182 | 1056.818 | 13:8 | 1.625 | ||||||
| 8\67 | 143.284 | 1056.716 | 5:3 | 1.667 | Semisoft 8L 9s | |||||
| 19\159 | 143.396 | 1056.604 | 12:7 | 1.714 | ||||||
| 11\92 | 143.478 | 1056.522 | 7:4 | 1.750 | ||||||
| 14\117 | 143.590 | 1056.410 | 9:5 | 1.800 | ||||||
| 3\25 | 144.000 | 1056.000 | 2:1 | 2.000 | Basic 8L 9s Scales with tunings softer than this are proper | |||||
| 13\108 | 144.444 | 1055.556 | 9:4 | 2.250 | ||||||
| 10\83 | 144.578 | 1055.422 | 7:3 | 2.333 | ||||||
| 17\141 | 144.681 | 1055.319 | 12:5 | 2.400 | ||||||
| 7\58 | 144.828 | 1055.172 | 5:2 | 2.500 | Semihard 8L 9s | |||||
| 18\149 | 144.966 | 1055.034 | 13:5 | 2.600 | ||||||
| 11\91 | 145.055 | 1054.945 | 8:3 | 2.667 | ||||||
| 15\124 | 145.161 | 1054.839 | 11:4 | 2.750 | ||||||
| 4\33 | 145.455 | 1054.545 | 3:1 | 3.000 | Hard 8L 9s | |||||
| 13\107 | 145.794 | 1054.206 | 10:3 | 3.333 | ||||||
| 9\74 | 145.946 | 1054.054 | 7:2 | 3.500 | ||||||
| 14\115 | 146.087 | 1053.913 | 11:3 | 3.667 | ||||||
| 5\41 | 146.341 | 1053.659 | 4:1 | 4.000 | Superhard 8L 9s Bohpier | |||||
| 11\90 | 146.667 | 1053.333 | 9:2 | 4.500 | ||||||
| 6\49 | 146.939 | 1053.061 | 5:1 | 5.000 | ||||||
| 7\57 | 147.368 | 1052.632 | 6:1 | 6.000 | Indium | |||||
| 1\8 | 150.000 | 1050.000 | 1:0 | → ∞ | Collapsed 8L 9s | |||||