10L 9s
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Scale structure
Step pattern
LLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Step size ranges
Large
1\19 to 1\10 (63.2¢ to 120.0¢)
Small
0\10 to 1\19 (0.0¢ to 63.2¢)
Generator size
Bright
17\19 to 9\10 (1073.7¢ to 1080.0¢)
Dark
1\10 to 2\19 (120.0¢ to 126.3¢)
TAMNAMS information
Descends from
9L 1s (sinatonic)
Related MOS scales
Parent
9L 1s
Sister
9L 10s
Daughters
19L 10s
10L 19s
Equal tunings
Equalized (L:s = 1:1)
17\19 (1073.7¢)
Supersoft (L:s = 4:3)
60\67 (1074.6¢)
Soft (L:s = 3:2)
43\48 (1075.0¢)
Semisoft (L:s = 5:3)
69\77 (1075.3¢)
Basic (L:s = 2:1)
26\29 (1075.9¢)
Semihard (L:s = 5:2)
61\68 (1076.5¢)
Hard (L:s = 3:1)
35\39 (1076.9¢)
Superhard (L:s = 4:1)
44\49 (1077.6¢)
Collapsed (L:s = 1:0)
9\10 (1080.0¢)
| ↖9L 8s | ↑10L 8s | 11L 8s↗ |
| ←9L 9s | 10L 9s | 11L 9s→ |
| ↙9L 10s | ↓10L 10s | 11L 10s↘ |
┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLsLL
10L 19s
10L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 9 small steps, repeating every octave. 10L 9s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 1073.7¢ to 1080¢, or from 120¢ to 126.3¢.
Scale tree
| Generator (in steps of edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 17\19 | 1073.684 | 126.316 | 1:1 | 1.000 | Equalized 10L 9s | |||||
| 94\105 | 1074.286 | 125.714 | 6:5 | 1.200 | ||||||
| 77\86 | 1074.419 | 125.581 | 5:4 | 1.250 | ||||||
| 137\153 | 1074.510 | 125.490 | 9:7 | 1.286 | ||||||
| 60\67 | 1074.627 | 125.373 | 4:3 | 1.333 | Supersoft 10L 9s | |||||
| 163\182 | 1074.725 | 125.275 | 11:8 | 1.375 | ||||||
| 103\115 | 1074.783 | 125.217 | 7:5 | 1.400 | ||||||
| 146\163 | 1074.847 | 125.153 | 10:7 | 1.429 | ||||||
| 43\48 | 1075.000 | 125.000 | 3:2 | 1.500 | Soft 10L 9s | |||||
| 155\173 | 1075.145 | 124.855 | 11:7 | 1.571 | ||||||
| 112\125 | 1075.200 | 124.800 | 8:5 | 1.600 | ||||||
| 181\202 | 1075.248 | 124.752 | 13:8 | 1.625 | ||||||
| 69\77 | 1075.325 | 124.675 | 5:3 | 1.667 | Semisoft 10L 9s | |||||
| 164\183 | 1075.410 | 124.590 | 12:7 | 1.714 | ||||||
| 95\106 | 1075.472 | 124.528 | 7:4 | 1.750 | ||||||
| 121\135 | 1075.556 | 124.444 | 9:5 | 1.800 | ||||||
| 26\29 | 1075.862 | 124.138 | 2:1 | 2.000 | Basic 10L 9s Scales with tunings softer than this are proper | |||||
| 113\126 | 1076.190 | 123.810 | 9:4 | 2.250 | ||||||
| 87\97 | 1076.289 | 123.711 | 7:3 | 2.333 | ||||||
| 148\165 | 1076.364 | 123.636 | 12:5 | 2.400 | ||||||
| 61\68 | 1076.471 | 123.529 | 5:2 | 2.500 | Semihard 10L 9s | |||||
| 157\175 | 1076.571 | 123.429 | 13:5 | 2.600 | ||||||
| 96\107 | 1076.636 | 123.364 | 8:3 | 2.667 | ||||||
| 131\146 | 1076.712 | 123.288 | 11:4 | 2.750 | ||||||
| 35\39 | 1076.923 | 123.077 | 3:1 | 3.000 | Hard 10L 9s | |||||
| 114\127 | 1077.165 | 122.835 | 10:3 | 3.333 | ||||||
| 79\88 | 1077.273 | 122.727 | 7:2 | 3.500 | ||||||
| 123\137 | 1077.372 | 122.628 | 11:3 | 3.667 | ||||||
| 44\49 | 1077.551 | 122.449 | 4:1 | 4.000 | Superhard 10L 9s | |||||
| 97\108 | 1077.778 | 122.222 | 9:2 | 4.500 | ||||||
| 53\59 | 1077.966 | 122.034 | 5:1 | 5.000 | ||||||
| 62\69 | 1078.261 | 121.739 | 6:1 | 6.000 | ||||||
| 9\10 | 1080.000 | 120.000 | 1:0 | → ∞ | Collapsed 10L 9s | |||||
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