7L 17s

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Revision as of 19:56, 29 February 2024 by Ganaram inukshuk (talk | contribs) (Replaced scale tree)
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↖ 6L 16s ↑ 7L 16s 8L 16s ↗
← 6L 17s 7L 17s 8L 17s →
↙ 6L 18s ↓ 7L 18s 8L 18s ↘
┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐
│║││║││║│││║││║│││║││║││││
││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLssLsssLssLsssLssLsss
sssLssLsssLssLsssLssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\24 to 5\7 (850.0 ¢ to 857.1 ¢)
Dark 2\7 to 7\24 (342.9 ¢ to 350.0 ¢)
TAMNAMS information
Related to 7L 3s (dicoid)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 7L 10s
Sister 17L 7s
Daughters 24L 7s, 7L 24s
Neutralized 14L 10s
2-Flought 31L 17s, 7L 41s
Equal tunings
Equalized (L:s = 1:1) 17\24 (850.0 ¢)
Supersoft (L:s = 4:3) 56\79 (850.6 ¢)
Soft (L:s = 3:2) 39\55 (850.9 ¢)
Semisoft (L:s = 5:3) 61\86 (851.2 ¢)
Basic (L:s = 2:1) 22\31 (851.6 ¢)
Semihard (L:s = 5:2) 49\69 (852.2 ¢)
Hard (L:s = 3:1) 27\38 (852.6 ¢)
Superhard (L:s = 4:1) 32\45 (853.3 ¢)
Collapsed (L:s = 1:0) 5\7 (857.1 ¢)

7L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 17 small steps, repeating every octave. 7L 17s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 850 ¢ to 857.1 ¢, or from 342.9 ¢ to 350 ¢. The dark generator serves as an approximate 11/9 (347¢), with 11\38 – the low estimate for the boundary of "practicality" – giving this ratio almost exactly.

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