14L 3s

Revision as of 20:42, 28 February 2024 by Ganaram inukshuk (talk | contribs) (Scale tree, reworded intro (removed redundant generator range))
↖ 13L 2s ↑ 14L 2s 15L 2s ↗
← 13L 3s 14L 3s 15L 3s →
↙ 13L 4s ↓ 14L 4s 15L 4s ↘
┌╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥┬┐
│║║║║║│║║║║║│║║║║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLsLLLLLsLLLLs
sLLLLsLLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 6\17 to 5\14 (423.5 ¢ to 428.6 ¢)
Dark 9\14 to 11\17 (771.4 ¢ to 776.5 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 3L 11s
Sister 3L 14s
Daughters 17L 14s, 14L 17s
Neutralized 11L 6s
2-Flought 31L 3s, 14L 20s
Equal tunings
Equalized (L:s = 1:1) 6\17 (423.5 ¢)
Supersoft (L:s = 4:3) 23\65 (424.6 ¢)
Soft (L:s = 3:2) 17\48 (425.0 ¢)
Semisoft (L:s = 5:3) 28\79 (425.3 ¢)
Basic (L:s = 2:1) 11\31 (425.8 ¢)
Semihard (L:s = 5:2) 27\76 (426.3 ¢)
Hard (L:s = 3:1) 16\45 (426.7 ¢)
Superhard (L:s = 4:1) 21\59 (427.1 ¢)
Collapsed (L:s = 1:0) 5\14 (428.6 ¢)

14L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 3 small steps, repeating every octave. 14L 3s is a great-grandchild scale of 3L 5s, expanding it by 9 tones. Generators that produce this scale range from 423.5 ¢ to 428.6 ¢, or from 771.4 ¢ to 776.5 ¢. This scale is associated with Squares temperament because the number of generators it takes to get to each of the primes 3, 5 and 7 is a square (3=-4 generators, 5=-16, 7=-9).

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