10L 12s
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Scale structure
Step pattern
LsLsLsLsLssLsLsLsLsLss
ssLsLsLsLsLssLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
2\22 to 1\10 (109.1¢ to 120.0¢)
Dark
4\10 to 9\22 (480.0¢ to 490.9¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
10L 2s
Sister
12L 10s
Daughters
22L 10s, 10L 22s
Neutralized
20L 2s
2-Flought
32L 12s, 10L 34s
Equal tunings
Equalized (L:s = 1:1)
2\22 (109.1¢)
Supersoft (L:s = 4:3)
7\76 (110.5¢)
Soft (L:s = 3:2)
5\54 (111.1¢)
Semisoft (L:s = 5:3)
8\86 (111.6¢)
Basic (L:s = 2:1)
3\32 (112.5¢)
Semihard (L:s = 5:2)
7\74 (113.5¢)
Hard (L:s = 3:1)
4\42 (114.3¢)
Superhard (L:s = 4:1)
5\52 (115.4¢)
Collapsed (L:s = 1:0)
1\10 (120.0¢)
| ↖ 9L 11s | ↑ 10L 11s | 11L 11s ↗ |
| ← 9L 12s | 10L 12s | 11L 12s → |
| ↙ 9L 13s | ↓ 10L 13s | 11L 13s ↘ |
┌╥┬╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║││║│║│║│║│║│││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsLssLsLsLsLsL
10L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 12 small steps, with a period of 5 large steps and 6 small steps that repeats every 600.0¢, or twice every octave. 10L 12s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 109.1¢ to 120¢, or from 480¢ to 490.9¢.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 20|0(2) | 1 | LsLsLsLsLssLsLsLsLsLss |
| 18|2(2) | 3 | LsLsLsLssLsLsLsLsLssLs |
| 16|4(2) | 5 | LsLsLssLsLsLsLsLssLsLs |
| 14|6(2) | 7 | LsLssLsLsLsLsLssLsLsLs |
| 12|8(2) | 9 | LssLsLsLsLsLssLsLsLsLs |
| 10|10(2) | 11 | sLsLsLsLsLssLsLsLsLsLs |
| 8|12(2) | 2 | sLsLsLsLssLsLsLsLsLssL |
| 6|14(2) | 4 | sLsLsLssLsLsLsLsLssLsL |
| 4|16(2) | 6 | sLsLssLsLsLsLsLssLsLsL |
| 2|18(2) | 8 | sLssLsLsLsLsLssLsLsLsL |
| 0|20(2) | 10 | ssLsLsLsLsLssLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\22 | 109.091 | 490.909 | 1:1 | 1.000 | Equalized 10L 12s | |||||
| 11\120 | 110.000 | 490.000 | 6:5 | 1.200 | ||||||
| 9\98 | 110.204 | 489.796 | 5:4 | 1.250 | ||||||
| 16\174 | 110.345 | 489.655 | 9:7 | 1.286 | ||||||
| 7\76 | 110.526 | 489.474 | 4:3 | 1.333 | Supersoft 10L 12s | |||||
| 19\206 | 110.680 | 489.320 | 11:8 | 1.375 | ||||||
| 12\130 | 110.769 | 489.231 | 7:5 | 1.400 | ||||||
| 17\184 | 110.870 | 489.130 | 10:7 | 1.429 | ||||||
| 5\54 | 111.111 | 488.889 | 3:2 | 1.500 | Soft 10L 12s | |||||
| 18\194 | 111.340 | 488.660 | 11:7 | 1.571 | ||||||
| 13\140 | 111.429 | 488.571 | 8:5 | 1.600 | ||||||
| 21\226 | 111.504 | 488.496 | 13:8 | 1.625 | ||||||
| 8\86 | 111.628 | 488.372 | 5:3 | 1.667 | Semisoft 10L 12s | |||||
| 19\204 | 111.765 | 488.235 | 12:7 | 1.714 | ||||||
| 11\118 | 111.864 | 488.136 | 7:4 | 1.750 | ||||||
| 14\150 | 112.000 | 488.000 | 9:5 | 1.800 | ||||||
| 3\32 | 112.500 | 487.500 | 2:1 | 2.000 | Basic 10L 12s Scales with tunings softer than this are proper | |||||
| 13\138 | 113.043 | 486.957 | 9:4 | 2.250 | ||||||
| 10\106 | 113.208 | 486.792 | 7:3 | 2.333 | ||||||
| 17\180 | 113.333 | 486.667 | 12:5 | 2.400 | ||||||
| 7\74 | 113.514 | 486.486 | 5:2 | 2.500 | Semihard 10L 12s | |||||
| 18\190 | 113.684 | 486.316 | 13:5 | 2.600 | ||||||
| 11\116 | 113.793 | 486.207 | 8:3 | 2.667 | ||||||
| 15\158 | 113.924 | 486.076 | 11:4 | 2.750 | ||||||
| 4\42 | 114.286 | 485.714 | 3:1 | 3.000 | Hard 10L 12s | |||||
| 13\136 | 114.706 | 485.294 | 10:3 | 3.333 | ||||||
| 9\94 | 114.894 | 485.106 | 7:2 | 3.500 | ||||||
| 14\146 | 115.068 | 484.932 | 11:3 | 3.667 | ||||||
| 5\52 | 115.385 | 484.615 | 4:1 | 4.000 | Superhard 10L 12s | |||||
| 11\114 | 115.789 | 484.211 | 9:2 | 4.500 | ||||||
| 6\62 | 116.129 | 483.871 | 5:1 | 5.000 | ||||||
| 7\72 | 116.667 | 483.333 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 480.000 | 1:0 | → ∞ | Collapsed 10L 12s | |||||