2L 12s
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Scale structure
Step pattern
LssssssLssssss
ssssssLssssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
6\14 to 1\2 (514.3¢ to 600.0¢)
Dark
0\2 to 1\14 (0.0¢ to 85.7¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
2L 10s
Sister
12L 2s
Daughters
14L 2s, 2L 14s
Neutralized
4L 10s
2-Flought
16L 12s, 2L 26s
Equal tunings
Equalized (L:s = 1:1)
6\14 (514.3¢)
Supersoft (L:s = 4:3)
19\44 (518.2¢)
Soft (L:s = 3:2)
13\30 (520.0¢)
Semisoft (L:s = 5:3)
20\46 (521.7¢)
Basic (L:s = 2:1)
7\16 (525.0¢)
Semihard (L:s = 5:2)
15\34 (529.4¢)
Hard (L:s = 3:1)
8\18 (533.3¢)
Superhard (L:s = 4:1)
9\20 (540.0¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
↖ 1L 11s | ↑ 2L 11s | 3L 11s ↗ |
← 1L 12s | 2L 12s | 3L 12s → |
↙ 1L 13s | ↓ 2L 13s | 3L 13s ↘ |
┌╥┬┬┬┬┬┬╥┬┬┬┬┬┬┐ │║││││││║│││││││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssLssssssL
2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3¢ to 600¢, or from 0¢ to 85.7¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
12|0(2) | 1 | LssssssLssssss |
10|2(2) | 7 | sLssssssLsssss |
8|4(2) | 6 | ssLssssssLssss |
6|6(2) | 5 | sssLssssssLsss |
4|8(2) | 4 | ssssLssssssLss |
2|10(2) | 3 | sssssLssssssLs |
0|12(2) | 2 | ssssssLssssssL |
Tuning spectrum
Bipelog range.
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
6\14 | 514.286 | 85.714 | 1:1 | 1.000 | Equalized 2L 12s | |||||
31\72 | 516.667 | 83.333 | 6:5 | 1.200 | ||||||
25\58 | 517.241 | 82.759 | 5:4 | 1.250 | ||||||
44\102 | 517.647 | 82.353 | 9:7 | 1.286 | ||||||
19\44 | 518.182 | 81.818 | 4:3 | 1.333 | Supersoft 2L 12s | |||||
51\118 | 518.644 | 81.356 | 11:8 | 1.375 | ||||||
32\74 | 518.919 | 81.081 | 7:5 | 1.400 | ||||||
45\104 | 519.231 | 80.769 | 10:7 | 1.429 | ||||||
13\30 | 520.000 | 80.000 | 3:2 | 1.500 | Soft 2L 12s | |||||
46\106 | 520.755 | 79.245 | 11:7 | 1.571 | ||||||
33\76 | 521.053 | 78.947 | 8:5 | 1.600 | ||||||
53\122 | 521.311 | 78.689 | 13:8 | 1.625 | ||||||
20\46 | 521.739 | 78.261 | 5:3 | 1.667 | Semisoft 2L 12s | |||||
47\108 | 522.222 | 77.778 | 12:7 | 1.714 | ||||||
27\62 | 522.581 | 77.419 | 7:4 | 1.750 | ||||||
34\78 | 523.077 | 76.923 | 9:5 | 1.800 | ||||||
7\16 | 525.000 | 75.000 | 2:1 | 2.000 | Basic 2L 12s Scales with tunings softer than this are proper | |||||
29\66 | 527.273 | 72.727 | 9:4 | 2.250 | ||||||
22\50 | 528.000 | 72.000 | 7:3 | 2.333 | ||||||
37\84 | 528.571 | 71.429 | 12:5 | 2.400 | ||||||
15\34 | 529.412 | 70.588 | 5:2 | 2.500 | Semihard 2L 12s | |||||
38\86 | 530.233 | 69.767 | 13:5 | 2.600 | ||||||
23\52 | 530.769 | 69.231 | 8:3 | 2.667 | ||||||
31\70 | 531.429 | 68.571 | 11:4 | 2.750 | ||||||
8\18 | 533.333 | 66.667 | 3:1 | 3.000 | Hard 2L 12s | |||||
25\56 | 535.714 | 64.286 | 10:3 | 3.333 | ||||||
17\38 | 536.842 | 63.158 | 7:2 | 3.500 | ||||||
26\58 | 537.931 | 62.069 | 11:3 | 3.667 | ||||||
9\20 | 540.000 | 60.000 | 4:1 | 4.000 | Superhard 2L 12s | |||||
19\42 | 542.857 | 57.143 | 9:2 | 4.500 | ||||||
10\22 | 545.455 | 54.545 | 5:1 | 5.000 | ||||||
11\24 | 550.000 | 50.000 | 6:1 | 6.000 | ||||||
1\2 | 600.000 | 0.000 | 1:0 | → ∞ | Collapsed 2L 12s |