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 |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0¢ to 60.0¢ |
| Major 1-mosstep | M1ms | L | 60.0¢ to 120.0¢ | |
| 2-mosstep | Perfect 2-mosstep | P2ms | L + s | 120.0¢ |
| 3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 120.0¢ to 180.0¢ |
| Major 3-mosstep | M3ms | 2L + s | 180.0¢ to 240.0¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | 2L + 2s | 240.0¢ |
| 5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 240.0¢ to 300.0¢ |
| Major 5-mosstep | M5ms | 3L + 2s | 300.0¢ to 360.0¢ | |
| 6-mosstep | Perfect 6-mosstep | P6ms | 3L + 3s | 360.0¢ |
| 7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 360.0¢ to 420.0¢ |
| Major 7-mosstep | M7ms | 4L + 3s | 420.0¢ to 480.0¢ | |
| 8-mosstep | Perfect 8-mosstep | P8ms | 4L + 4s | 480.0¢ |
| 9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 480.0¢ to 540.0¢ |
| Major 9-mosstep | M9ms | 5L + 4s | 540.0¢ to 600.0¢ | |
| 10-mosstep | Perfect 10-mosstep | P10ms | 5L + 5s | 600.0¢ |
| 11-mosstep | Minor 11-mosstep | m11ms | 5L + 6s | 600.0¢ to 660.0¢ |
| Major 11-mosstep | M11ms | 6L + 5s | 660.0¢ to 720.0¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | 6L + 6s | 720.0¢ |
| 13-mosstep | Minor 13-mosstep | m13ms | 6L + 7s | 720.0¢ to 780.0¢ |
| Major 13-mosstep | M13ms | 7L + 6s | 780.0¢ to 840.0¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 7L + 7s | 840.0¢ |
| 15-mosstep | Minor 15-mosstep | m15ms | 7L + 8s | 840.0¢ to 900.0¢ |
| Major 15-mosstep | M15ms | 8L + 7s | 900.0¢ to 960.0¢ | |
| 16-mosstep | Perfect 16-mosstep | P16ms | 8L + 8s | 960.0¢ |
| 17-mosstep | Minor 17-mosstep | m17ms | 8L + 9s | 960.0¢ to 1020.0¢ |
| Major 17-mosstep | M17ms | 9L + 8s | 1020.0¢ to 1080.0¢ | |
| 18-mosstep | Perfect 18-mosstep | P18ms | 9L + 9s | 1080.0¢ |
| 19-mosstep | Minor 19-mosstep | m19ms | 9L + 10s | 1080.0¢ to 1140.0¢ |
| Major 19-mosstep | M19ms | 10L + 9s | 1140.0¢ to 1200.0¢ | |
| 20-mosstep | Perfect 20-mosstep | P20ms | 10L + 10s | 1200.0¢ |
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 | |||||
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