12L 2s
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Brightest mode
LLLLLLsLLLLLLs
Period
1\2
Range for bright generator
1\14 (85.7¢) to 1\12 (100¢)
Range for dark generator
5\12 (500¢) to 6\14 (514.3¢)
Parent MOS
2L 10s
Sister MOS
2L 12s
Daughter MOSes
14L 12s, 12L 14s
Equal tunings
Supersoft (L:s = 4:3)
4\54 (88.9¢)
Soft (L:s = 3:2)
3\40 (90¢)
Semisoft (L:s = 5:3)
5\66 (90.9¢)
Basic (L:s = 2:1)
2\26 (92.3¢)
Semihard (L:s = 5:2)
5\64 (93.8¢)
Hard (L:s = 3:1)
3\38 (94.7¢)
Superhard (L:s = 4:1)
4\50 (96¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard
↖11L 1s | ↑12L 1s | 13L 1s↗ |
←11L 2s | 12L 2s | 13L 2s→ |
↙11L 3s | ↓12L 3s | 13L 3s↘ |
12L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 2 small steps, with a period of 6 large steps and 1 small step that repeats every 600.0¢, or twice every octave. 12L 2s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 85.7¢ to 100¢, or from 500¢ to 514.3¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
It appears as the mega chromatic scale of injera temperament, meaning that its harmonic entropy is where +4 generators equals 5/4 (simple) or +10 generators equals 5/3 (complex).
Scale tree
Generator (in steps of edo) | Cents | Step ratio | Comments (Every true-MOS tuning produces a proper scale) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
1\14 | 85.714 | 514.286 | 1:1 | 1.000 | Equalized 12L 2s | |||||
6\82 | 87.805 | 512.195 | 6:5 | 1.200 | ||||||
5\68 | 88.235 | 511.765 | 5:4 | 1.250 | ||||||
9\122 | 88.525 | 511.475 | 9:7 | 1.286 | ||||||
4\54 | 88.889 | 511.111 | 4:3 | 1.333 | Supersoft 12L 2s | |||||
11\148 | 89.189 | 510.811 | 11:8 | 1.375 | ||||||
7\94 | 89.362 | 510.638 | 7:5 | 1.400 | ||||||
10\134 | 89.552 | 510.448 | 10:7 | 1.429 | ||||||
3\40 | 90.000 | 510.000 | 3:2 | 1.500 | Soft 12L 2s | |||||
11\146 | 90.411 | 509.589 | 11:7 | 1.571 | ||||||
8\106 | 90.566 | 509.434 | 8:5 | 1.600 | ||||||
13\172 | 90.698 | 509.302 | 13:8 | 1.625 | ||||||
5\66 | 90.909 | 509.091 | 5:3 | 1.667 | Semisoft 12L 2s | |||||
12\158 | 91.139 | 508.861 | 12:7 | 1.714 | ||||||
7\92 | 91.304 | 508.696 | 7:4 | 1.750 | ||||||
9\118 | 91.525 | 508.475 | 9:5 | 1.800 | ||||||
2\26 | 92.308 | 507.692 | 2:1 | 2.000 | Basic 12L 2s | |||||
9\116 | 93.103 | 506.897 | 9:4 | 2.250 | ||||||
7\90 | 93.333 | 506.667 | 7:3 | 2.333 | ||||||
12\154 | 93.506 | 506.494 | 12:5 | 2.400 | ||||||
5\64 | 93.750 | 506.250 | 5:2 | 2.500 | Semihard 12L 2s | |||||
13\166 | 93.976 | 506.024 | 13:5 | 2.600 | ||||||
8\102 | 94.118 | 505.882 | 8:3 | 2.667 | ||||||
11\140 | 94.286 | 505.714 | 11:4 | 2.750 | ||||||
3\38 | 94.737 | 505.263 | 3:1 | 3.000 | Hard 12L 2s Injera | |||||
10\126 | 95.238 | 504.762 | 10:3 | 3.333 | ||||||
7\88 | 95.455 | 504.545 | 7:2 | 3.500 | ||||||
11\138 | 95.652 | 504.348 | 11:3 | 3.667 | ||||||
4\50 | 96.000 | 504.000 | 4:1 | 4.000 | Superhard 12L 2s | |||||
9\112 | 96.429 | 503.571 | 9:2 | 4.500 | ||||||
5\62 | 96.774 | 503.226 | 5:1 | 5.000 | ||||||
6\74 | 97.297 | 502.703 | 6:1 | 6.000 | ||||||
1\12 | 100.000 | 500.000 | 1:0 | → ∞ | Collapsed 12L 2s |