9L 10s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\19 to 1\9 (126.3¢ to 133.3¢)
Dark
8\9 to 17\19 (1066.7¢ to 1073.7¢)
TAMNAMS information
Descends from
9L 1s (sinatonic)
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
9L 1s
Sister
10L 9s
Daughters
19L 9s, 9L 19s
Neutralized
18L 1s
2-Flought
28L 10s, 9L 29s
Equal tunings
Equalized (L:s = 1:1)
2\19 (126.3¢)
Supersoft (L:s = 4:3)
7\66 (127.3¢)
Soft (L:s = 3:2)
5\47 (127.7¢)
Semisoft (L:s = 5:3)
8\75 (128.0¢)
Basic (L:s = 2:1)
3\28 (128.6¢)
Semihard (L:s = 5:2)
7\65 (129.2¢)
Hard (L:s = 3:1)
4\37 (129.7¢)
Superhard (L:s = 4:1)
5\46 (130.4¢)
Collapsed (L:s = 1:0)
1\9 (133.3¢)
| ↖ 8L 9s | ↑ 9L 9s | 10L 9s ↗ |
| ← 8L 10s | 9L 10s | 10L 10s → |
| ↙ 8L 11s | ↓ 9L 11s | 10L 11s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLsLsLsLsL
9L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 10 small steps, repeating every octave. 9L 10s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 126.3¢ to 133.3¢, or from 1066.7¢ to 1073.7¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LsLsLsLsLsLsLsLsLss |
| 17|1 | 3 | LsLsLsLsLsLsLsLssLs |
| 16|2 | 5 | LsLsLsLsLsLsLssLsLs |
| 15|3 | 7 | LsLsLsLsLsLssLsLsLs |
| 14|4 | 9 | LsLsLsLsLssLsLsLsLs |
| 13|5 | 11 | LsLsLsLssLsLsLsLsLs |
| 12|6 | 13 | LsLsLssLsLsLsLsLsLs |
| 11|7 | 15 | LsLssLsLsLsLsLsLsLs |
| 10|8 | 17 | LssLsLsLsLsLsLsLsLs |
| 9|9 | 19 | sLsLsLsLsLsLsLsLsLs |
| 8|10 | 2 | sLsLsLsLsLsLsLsLssL |
| 7|11 | 4 | sLsLsLsLsLsLsLssLsL |
| 6|12 | 6 | sLsLsLsLsLsLssLsLsL |
| 5|13 | 8 | sLsLsLsLsLssLsLsLsL |
| 4|14 | 10 | sLsLsLsLssLsLsLsLsL |
| 3|15 | 12 | sLsLsLssLsLsLsLsLsL |
| 2|16 | 14 | sLsLssLsLsLsLsLsLsL |
| 1|17 | 16 | sLssLsLsLsLsLsLsLsL |
| 0|18 | 18 | ssLsLsLsLsLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\19 | 126.316 | 1073.684 | 1:1 | 1.000 | Equalized 9L 10s | |||||
| 11\104 | 126.923 | 1073.077 | 6:5 | 1.200 | ||||||
| 9\85 | 127.059 | 1072.941 | 5:4 | 1.250 | ||||||
| 16\151 | 127.152 | 1072.848 | 9:7 | 1.286 | ||||||
| 7\66 | 127.273 | 1072.727 | 4:3 | 1.333 | Supersoft 9L 10s | |||||
| 19\179 | 127.374 | 1072.626 | 11:8 | 1.375 | ||||||
| 12\113 | 127.434 | 1072.566 | 7:5 | 1.400 | ||||||
| 17\160 | 127.500 | 1072.500 | 10:7 | 1.429 | ||||||
| 5\47 | 127.660 | 1072.340 | 3:2 | 1.500 | Soft 9L 10s | |||||
| 18\169 | 127.811 | 1072.189 | 11:7 | 1.571 | ||||||
| 13\122 | 127.869 | 1072.131 | 8:5 | 1.600 | ||||||
| 21\197 | 127.919 | 1072.081 | 13:8 | 1.625 | ||||||
| 8\75 | 128.000 | 1072.000 | 5:3 | 1.667 | Semisoft 9L 10s | |||||
| 19\178 | 128.090 | 1071.910 | 12:7 | 1.714 | ||||||
| 11\103 | 128.155 | 1071.845 | 7:4 | 1.750 | ||||||
| 14\131 | 128.244 | 1071.756 | 9:5 | 1.800 | ||||||
| 3\28 | 128.571 | 1071.429 | 2:1 | 2.000 | Basic 9L 10s Scales with tunings softer than this are proper | |||||
| 13\121 | 128.926 | 1071.074 | 9:4 | 2.250 | ||||||
| 10\93 | 129.032 | 1070.968 | 7:3 | 2.333 | ||||||
| 17\158 | 129.114 | 1070.886 | 12:5 | 2.400 | ||||||
| 7\65 | 129.231 | 1070.769 | 5:2 | 2.500 | Semihard 9L 10s | |||||
| 18\167 | 129.341 | 1070.659 | 13:5 | 2.600 | ||||||
| 11\102 | 129.412 | 1070.588 | 8:3 | 2.667 | ||||||
| 15\139 | 129.496 | 1070.504 | 11:4 | 2.750 | ||||||
| 4\37 | 129.730 | 1070.270 | 3:1 | 3.000 | Hard 9L 10s | |||||
| 13\120 | 130.000 | 1070.000 | 10:3 | 3.333 | ||||||
| 9\83 | 130.120 | 1069.880 | 7:2 | 3.500 | ||||||
| 14\129 | 130.233 | 1069.767 | 11:3 | 3.667 | ||||||
| 5\46 | 130.435 | 1069.565 | 4:1 | 4.000 | Superhard 9L 10s | |||||
| 11\101 | 130.693 | 1069.307 | 9:2 | 4.500 | ||||||
| 6\55 | 130.909 | 1069.091 | 5:1 | 5.000 | ||||||
| 7\64 | 131.250 | 1068.750 | 6:1 | 6.000 | ||||||
| 1\9 | 133.333 | 1066.667 | 1:0 | → ∞ | Collapsed 9L 10s | |||||
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