12L 10s

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↖ 11L 9s ↑ 12L 9s 13L 9s ↗
← 11L 10s 12L 10s 13L 10s →
↙ 11L 11s ↓ 12L 11s 13L 11s ↘
┌╥╥┬╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬┐
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLsLLsLsLsLsLs
sLsLsLsLsLLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 9\22 to 5\12 (490.9 ¢ to 500.0 ¢)
Dark 1\12 to 2\22 (100.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 10L 2s
Sister 10L 12s
Daughters 22L 12s, 12L 22s
Neutralized 2L 20s
2-Flought 34L 10s, 12L 32s
Equal tunings
Equalized (L:s = 1:1) 9\22 (490.9 ¢)
Supersoft (L:s = 4:3) 32\78 (492.3 ¢)
Soft (L:s = 3:2) 23\56 (492.9 ¢)
Semisoft (L:s = 5:3) 37\90 (493.3 ¢)
Basic (L:s = 2:1) 14\34 (494.1 ¢)
Semihard (L:s = 5:2) 33\80 (495.0 ¢)
Hard (L:s = 3:1) 19\46 (495.7 ¢)
Superhard (L:s = 4:1) 24\58 (496.6 ¢)
Collapsed (L:s = 1:0) 5\12 (500.0 ¢)

12L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 10 small steps, with a period of 6 large steps and 5 small steps that repeats every 600.0 ¢, or twice every octave. 12L 10s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 490.9 ¢ to 500 ¢, or from 100 ¢ to 109.1 ¢. This scale is the quartertone scale of diaschismic temperament with dark generators above 100¢ (around the upper range of a diatonic semitone). This maps 5/4 (386¢) to one period (600¢) minus two dark generators.

Modes

Modes of 12L 10s
UDP Cyclic
order
Step
pattern
20|0(2) 1 LLsLsLsLsLsLLsLsLsLsLs
18|2(2) 10 LsLLsLsLsLsLsLLsLsLsLs
16|4(2) 8 LsLsLLsLsLsLsLsLLsLsLs
14|6(2) 6 LsLsLsLLsLsLsLsLsLLsLs
12|8(2) 4 LsLsLsLsLLsLsLsLsLsLLs
10|10(2) 2 LsLsLsLsLsLLsLsLsLsLsL
8|12(2) 11 sLLsLsLsLsLsLLsLsLsLsL
6|14(2) 9 sLsLLsLsLsLsLsLLsLsLsL
4|16(2) 7 sLsLsLLsLsLsLsLsLLsLsL
2|18(2) 5 sLsLsLsLLsLsLsLsLsLLsL
0|20(2) 3 sLsLsLsLsLLsLsLsLsLsLL

Scale tree

Template:Scale tree