8L 12s
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Scale structure
Step pattern
LsLssLsLssLsLssLsLss
ssLsLssLsLssLsLssLsL
Equave
2/1 (1200.0¢)
Period
1\4 (300.0¢)
Generator size
Bright
2\20 to 1\8 (120.0¢ to 150.0¢)
Dark
1\8 to 3\20 (150.0¢ to 180.0¢)
TAMNAMS information
Descends from
4L 4s (tetrawood)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
8L 4s
Sister
12L 8s
Daughters
20L 8s, 8L 20s
Neutralized
16L 4s
2-Flought
28L 12s, 8L 32s
Equal tunings
Equalized (L:s = 1:1)
2\20 (120.0¢)
Supersoft (L:s = 4:3)
7\68 (123.5¢)
Soft (L:s = 3:2)
5\48 (125.0¢)
Semisoft (L:s = 5:3)
8\76 (126.3¢)
Basic (L:s = 2:1)
3\28 (128.6¢)
Semihard (L:s = 5:2)
7\64 (131.2¢)
Hard (L:s = 3:1)
4\36 (133.3¢)
Superhard (L:s = 4:1)
5\44 (136.4¢)
Collapsed (L:s = 1:0)
1\8 (150.0¢)
| ↖ 7L 11s | ↑ 8L 11s | 9L 11s ↗ |
| ← 7L 12s | 8L 12s | 9L 12s → |
| ↙ 7L 13s | ↓ 8L 13s | 9L 13s ↘ |
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐ │║│║││║│║││║│║││║│║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLssLsLssLsLssLsL
8L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 12 small steps, with a period of 2 large steps and 3 small steps that repeats every 300.0¢, or 4 times every octave. 8L 12s is a grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 120¢ to 150¢, or from 150¢ to 180¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(4) | 1 | LsLssLsLssLsLssLsLss |
| 12|4(4) | 3 | LssLsLssLsLssLsLssLs |
| 8|8(4) | 5 | sLsLssLsLssLsLssLsLs |
| 4|12(4) | 2 | sLssLsLssLsLssLsLssL |
| 0|16(4) | 4 | ssLsLssLsLssLsLssLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\20 | 120.000 | 180.000 | 1:1 | 1.000 | Equalized 8L 12s | |||||
| 11\108 | 122.222 | 177.778 | 6:5 | 1.200 | ||||||
| 9\88 | 122.727 | 177.273 | 5:4 | 1.250 | ||||||
| 16\156 | 123.077 | 176.923 | 9:7 | 1.286 | ||||||
| 7\68 | 123.529 | 176.471 | 4:3 | 1.333 | Supersoft 8L 12s | |||||
| 19\184 | 123.913 | 176.087 | 11:8 | 1.375 | ||||||
| 12\116 | 124.138 | 175.862 | 7:5 | 1.400 | ||||||
| 17\164 | 124.390 | 175.610 | 10:7 | 1.429 | ||||||
| 5\48 | 125.000 | 175.000 | 3:2 | 1.500 | Soft 8L 12s | |||||
| 18\172 | 125.581 | 174.419 | 11:7 | 1.571 | ||||||
| 13\124 | 125.806 | 174.194 | 8:5 | 1.600 | ||||||
| 21\200 | 126.000 | 174.000 | 13:8 | 1.625 | ||||||
| 8\76 | 126.316 | 173.684 | 5:3 | 1.667 | Semisoft 8L 12s | |||||
| 19\180 | 126.667 | 173.333 | 12:7 | 1.714 | ||||||
| 11\104 | 126.923 | 173.077 | 7:4 | 1.750 | ||||||
| 14\132 | 127.273 | 172.727 | 9:5 | 1.800 | ||||||
| 3\28 | 128.571 | 171.429 | 2:1 | 2.000 | Basic 8L 12s Scales with tunings softer than this are proper | |||||
| 13\120 | 130.000 | 170.000 | 9:4 | 2.250 | ||||||
| 10\92 | 130.435 | 169.565 | 7:3 | 2.333 | ||||||
| 17\156 | 130.769 | 169.231 | 12:5 | 2.400 | ||||||
| 7\64 | 131.250 | 168.750 | 5:2 | 2.500 | Semihard 8L 12s | |||||
| 18\164 | 131.707 | 168.293 | 13:5 | 2.600 | ||||||
| 11\100 | 132.000 | 168.000 | 8:3 | 2.667 | ||||||
| 15\136 | 132.353 | 167.647 | 11:4 | 2.750 | ||||||
| 4\36 | 133.333 | 166.667 | 3:1 | 3.000 | Hard 8L 12s | |||||
| 13\116 | 134.483 | 165.517 | 10:3 | 3.333 | ||||||
| 9\80 | 135.000 | 165.000 | 7:2 | 3.500 | ||||||
| 14\124 | 135.484 | 164.516 | 11:3 | 3.667 | ||||||
| 5\44 | 136.364 | 163.636 | 4:1 | 4.000 | Superhard 8L 12s | |||||
| 11\96 | 137.500 | 162.500 | 9:2 | 4.500 | ||||||
| 6\52 | 138.462 | 161.538 | 5:1 | 5.000 | ||||||
| 7\60 | 140.000 | 160.000 | 6:1 | 6.000 | ||||||
| 1\8 | 150.000 | 150.000 | 1:0 | → ∞ | Collapsed 8L 12s | |||||