12L 2s

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Revision as of 11:54, 3 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro, rothenprop)
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↖ 11L 1s ↑ 12L 1s 13L 1s ↗
← 11L 2s 12L 2s 13L 2s →
↙ 11L 3s ↓ 12L 3s 13L 3s ↘
Scale structure
Step pattern LLLLLLsLLLLLLs
sLLLLLLsLLLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\14 to 1\12 (85.7 ¢ to 100.0 ¢)
Dark 5\12 to 6\14 (500.0 ¢ to 514.3 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 2L 10s
Sister 2L 12s
Daughters 14L 12s, 12L 14s
Neutralized 10L 4s
2-Flought 26L 2s, 12L 16s
Equal tunings
Equalized (L:s = 1:1) 1\14 (85.7 ¢)
Supersoft (L:s = 4:3) 4\54 (88.9 ¢)
Soft (L:s = 3:2) 3\40 (90.0 ¢)
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 (96.0 ¢)
Collapsed (L:s = 1:0) 1\12 (100.0 ¢)
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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).

Its generator is a neutral semitone of 1\14 (85.714 ¢) to 1\12 (100 ¢).

Scale tree

1/14 85.714
5/68 88.235
4/54 88.889
7/94 89.362
3/40 90
90.4075
8/106 90.566
90.661
5/66 90.909
91.221
7/92 91.304
2/26 92.308
7/90 93.33
94.015
5/64 93.75
94.223
3/38 94.737
94.962
7/88 95.4545
4/50 96
5/62 96.774
1/12 100