10L 10s
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Scale structure
Step pattern
LsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
1\10 (120.0¢)
Generator size
Bright
1\20 to 1\10 (60.0¢ to 120.0¢)
Dark
0\10 to 1\20 (0.0¢ to 60.0¢)
Related MOS scales
Parent
10L 0s
Sister
10L 10s
Daughters
20L 10s, 10L 20s
Neutralized
20L 0s
2-Flought
30L 10s, 10L 30s
Equal tunings
Equalized (L:s = 1:1)
1\20 (60.0¢)
Supersoft (L:s = 4:3)
4\70 (68.6¢)
Soft (L:s = 3:2)
3\50 (72.0¢)
Semisoft (L:s = 5:3)
5\80 (75.0¢)
Basic (L:s = 2:1)
2\30 (80.0¢)
Semihard (L:s = 5:2)
5\70 (85.7¢)
Hard (L:s = 3:1)
3\40 (90.0¢)
Superhard (L:s = 4:1)
4\50 (96.0¢)
Collapsed (L:s = 1:0)
1\10 (120.0¢)
| ↖ 9L 9s | ↑ 10L 9s | 11L 9s ↗ |
| ← 9L 10s | 10L 10s | 11L 10s → |
| ↙ 9L 11s | ↓ 10L 11s | 11L 11s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║│║│║│║│║│║│║│║│║│║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsLsLsLsLsL
10L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 10 small steps, with a period of 1 large step and 1 small step that repeats every 120.0¢, or 10 times every octave. Generators that produce this scale range from 60¢ to 120¢, or from 0¢ to 60¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 10|0(10) | 1 | LsLsLsLsLsLsLsLsLsLs |
| 0|10(10) | 2 | sLsLsLsLsLsLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\20 | 60.000 | 60.000 | 1:1 | 1.000 | Equalized 10L 10s | |||||
| 6\110 | 65.455 | 54.545 | 6:5 | 1.200 | ||||||
| 5\90 | 66.667 | 53.333 | 5:4 | 1.250 | ||||||
| 9\160 | 67.500 | 52.500 | 9:7 | 1.286 | ||||||
| 4\70 | 68.571 | 51.429 | 4:3 | 1.333 | Supersoft 10L 10s | |||||
| 11\190 | 69.474 | 50.526 | 11:8 | 1.375 | ||||||
| 7\120 | 70.000 | 50.000 | 7:5 | 1.400 | ||||||
| 10\170 | 70.588 | 49.412 | 10:7 | 1.429 | ||||||
| 3\50 | 72.000 | 48.000 | 3:2 | 1.500 | Soft 10L 10s | |||||
| 11\180 | 73.333 | 46.667 | 11:7 | 1.571 | ||||||
| 8\130 | 73.846 | 46.154 | 8:5 | 1.600 | ||||||
| 13\210 | 74.286 | 45.714 | 13:8 | 1.625 | ||||||
| 5\80 | 75.000 | 45.000 | 5:3 | 1.667 | Semisoft 10L 10s | |||||
| 12\190 | 75.789 | 44.211 | 12:7 | 1.714 | ||||||
| 7\110 | 76.364 | 43.636 | 7:4 | 1.750 | ||||||
| 9\140 | 77.143 | 42.857 | 9:5 | 1.800 | ||||||
| 2\30 | 80.000 | 40.000 | 2:1 | 2.000 | Basic 10L 10s | |||||
| 9\130 | 83.077 | 36.923 | 9:4 | 2.250 | ||||||
| 7\100 | 84.000 | 36.000 | 7:3 | 2.333 | ||||||
| 12\170 | 84.706 | 35.294 | 12:5 | 2.400 | ||||||
| 5\70 | 85.714 | 34.286 | 5:2 | 2.500 | Semihard 10L 10s | |||||
| 13\180 | 86.667 | 33.333 | 13:5 | 2.600 | ||||||
| 8\110 | 87.273 | 32.727 | 8:3 | 2.667 | ||||||
| 11\150 | 88.000 | 32.000 | 11:4 | 2.750 | ||||||
| 3\40 | 90.000 | 30.000 | 3:1 | 3.000 | Hard 10L 10s | |||||
| 10\130 | 92.308 | 27.692 | 10:3 | 3.333 | ||||||
| 7\90 | 93.333 | 26.667 | 7:2 | 3.500 | ||||||
| 11\140 | 94.286 | 25.714 | 11:3 | 3.667 | ||||||
| 4\50 | 96.000 | 24.000 | 4:1 | 4.000 | Superhard 10L 10s | |||||
| 9\110 | 98.182 | 21.818 | 9:2 | 4.500 | ||||||
| 5\60 | 100.000 | 20.000 | 5:1 | 5.000 | ||||||
| 6\70 | 102.857 | 17.143 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 0.000 | 1:0 | → ∞ | Collapsed 10L 10s | |||||