12L 8s
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Scale structure
Step pattern
LLsLsLLsLsLLsLsLLsLs
sLsLLsLsLLsLsLLsLsLL
Equave
2/1 (1200.0¢)
Period
1\4 (300.0¢)
Generator size
Bright
3\20 to 2\12 (180.0¢ to 200.0¢)
Dark
1\12 to 2\20 (100.0¢ to 120.0¢)
TAMNAMS information
Descends from
4L 4s (tetrawood)
Ancestor's step ratio range
3:2 to 2:1 (hyposoft)
Related MOS scales
Parent
8L 4s
Sister
8L 12s
Daughters
20L 12s, 12L 20s
Neutralized
4L 16s
2-Flought
32L 8s, 12L 28s
Equal tunings
Equalized (L:s = 1:1)
3\20 (180.0¢)
Supersoft (L:s = 4:3)
11\72 (183.3¢)
Soft (L:s = 3:2)
8\52 (184.6¢)
Semisoft (L:s = 5:3)
13\84 (185.7¢)
Basic (L:s = 2:1)
5\32 (187.5¢)
Semihard (L:s = 5:2)
12\76 (189.5¢)
Hard (L:s = 3:1)
7\44 (190.9¢)
Superhard (L:s = 4:1)
9\56 (192.9¢)
Collapsed (L:s = 1:0)
2\12 (200.0¢)
| ↖ 11L 7s | ↑ 12L 7s | 13L 7s ↗ |
| ← 11L 8s | 12L 8s | 13L 8s → |
| ↙ 11L 9s | ↓ 12L 9s | 13L 9s ↘ |
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐ │║║│║│║║│║│║║│║│║║│║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLLsLsLLsLsLLsLsLL
12L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 8 small steps, with a period of 3 large steps and 2 small steps that repeats every 300.0¢, or 4 times every octave. 12L 8s is a grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 180¢ to 200¢, or from 100¢ to 120¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(4) | 1 | LLsLsLLsLsLLsLsLLsLs |
| 12|4(4) | 4 | LsLLsLsLLsLsLLsLsLLs |
| 8|8(4) | 2 | LsLsLLsLsLLsLsLLsLsL |
| 4|12(4) | 5 | sLLsLsLLsLsLLsLsLLsL |
| 0|16(4) | 3 | sLsLLsLsLLsLsLLsLsLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 3\20 | 180.000 | 120.000 | 1:1 | 1.000 | Equalized 12L 8s | |||||
| 17\112 | 182.143 | 117.857 | 6:5 | 1.200 | ||||||
| 14\92 | 182.609 | 117.391 | 5:4 | 1.250 | ||||||
| 25\164 | 182.927 | 117.073 | 9:7 | 1.286 | ||||||
| 11\72 | 183.333 | 116.667 | 4:3 | 1.333 | Supersoft 12L 8s | |||||
| 30\196 | 183.673 | 116.327 | 11:8 | 1.375 | ||||||
| 19\124 | 183.871 | 116.129 | 7:5 | 1.400 | ||||||
| 27\176 | 184.091 | 115.909 | 10:7 | 1.429 | ||||||
| 8\52 | 184.615 | 115.385 | 3:2 | 1.500 | Soft 12L 8s | |||||
| 29\188 | 185.106 | 114.894 | 11:7 | 1.571 | ||||||
| 21\136 | 185.294 | 114.706 | 8:5 | 1.600 | ||||||
| 34\220 | 185.455 | 114.545 | 13:8 | 1.625 | ||||||
| 13\84 | 185.714 | 114.286 | 5:3 | 1.667 | Semisoft 12L 8s | |||||
| 31\200 | 186.000 | 114.000 | 12:7 | 1.714 | ||||||
| 18\116 | 186.207 | 113.793 | 7:4 | 1.750 | ||||||
| 23\148 | 186.486 | 113.514 | 9:5 | 1.800 | ||||||
| 5\32 | 187.500 | 112.500 | 2:1 | 2.000 | Basic 12L 8s Scales with tunings softer than this are proper | |||||
| 22\140 | 188.571 | 111.429 | 9:4 | 2.250 | ||||||
| 17\108 | 188.889 | 111.111 | 7:3 | 2.333 | ||||||
| 29\184 | 189.130 | 110.870 | 12:5 | 2.400 | ||||||
| 12\76 | 189.474 | 110.526 | 5:2 | 2.500 | Semihard 12L 8s | |||||
| 31\196 | 189.796 | 110.204 | 13:5 | 2.600 | ||||||
| 19\120 | 190.000 | 110.000 | 8:3 | 2.667 | ||||||
| 26\164 | 190.244 | 109.756 | 11:4 | 2.750 | ||||||
| 7\44 | 190.909 | 109.091 | 3:1 | 3.000 | Hard 12L 8s | |||||
| 23\144 | 191.667 | 108.333 | 10:3 | 3.333 | ||||||
| 16\100 | 192.000 | 108.000 | 7:2 | 3.500 | ||||||
| 25\156 | 192.308 | 107.692 | 11:3 | 3.667 | ||||||
| 9\56 | 192.857 | 107.143 | 4:1 | 4.000 | Superhard 12L 8s | |||||
| 20\124 | 193.548 | 106.452 | 9:2 | 4.500 | ||||||
| 11\68 | 194.118 | 105.882 | 5:1 | 5.000 | ||||||
| 13\80 | 195.000 | 105.000 | 6:1 | 6.000 | ||||||
| 2\12 | 200.000 | 100.000 | 1:0 | → ∞ | Collapsed 12L 8s | |||||