10L 2s

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Revision as of 11:53, 3 February 2024 by Ganaram inukshuk (talk | contribs) (Mos intro, rothenprop)
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↖ 9L 1s ↑ 10L 1s 11L 1s ↗
← 9L 2s 10L 2s 11L 2s →
↙ 9L 3s ↓ 10L 3s 11L 3s ↘
Scale structure
Step pattern LLLLLsLLLLLs
sLLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\12 to 1\10 (100.0 ¢ to 120.0 ¢)
Dark 4\10 to 5\12 (480.0 ¢ to 500.0 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 2L 8s
Sister 2L 10s
Daughters 12L 10s, 10L 12s
Neutralized 8L 4s
2-Flought 22L 2s, 10L 14s
Equal tunings
Equalized (L:s = 1:1) 1\12 (100.0 ¢)
Supersoft (L:s = 4:3) 4\46 (104.3 ¢)
Soft (L:s = 3:2) 3\34 (105.9 ¢)
Semisoft (L:s = 5:3) 5\56 (107.1 ¢)
Basic (L:s = 2:1) 2\22 (109.1 ¢)
Semihard (L:s = 5:2) 5\54 (111.1 ¢)
Hard (L:s = 3:1) 3\32 (112.5 ¢)
Superhard (L:s = 4:1) 4\42 (114.3 ¢)
Collapsed (L:s = 1:0) 1\10 (120.0 ¢)
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10L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 2 small steps, with a period of 5 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. 10L 2s is a child scale of 2L 8s, expanding it by 2 tones. Generators that produce this scale range from 100 ¢ to 120 ¢, or from 480 ¢ to 500 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. The only significant harmonic entropy minimum with this MOS pattern is srutal/pajara[12], which is simply decatonic with two more notes added in.

Scale tree

Generator Cents Comments
1\12 100
6\70 102.86
5\58 103.45
4\46 104.35
3\34 105.88 Srutal/pajara is around here
106.45
8\90 106.67
106.8
5\56 107.14
107.58
2\22 109.09 Boundary of propriety for near-MOS

Optimal rank range (L/s=2/1) for MOS

5\54 111.11
111.48
8\86 111.63
111.78
3\32 112.5
112.82
4\42 114.29
5\52 115.385
6\62 116.13
1\10 120