13L 8s

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↖ 12L 7s ↑13L 7s 14L 7s ↗
← 12L 8s13L 8s 14L 8s →
↙ 12L 9s ↓13L 9s 14L 9s ↘
┌╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬╥╥┬╥┬┐
│║║│║║│║│║║│║║│║│║║│║││
│││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLsLLsLLsLsLLsLs
sLsLLsLsLLsLLsLsLLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 8\21 to 5\13 (457.1¢ to 461.5¢)
Dark 8\13 to 13\21 (738.5¢ to 742.9¢)
TAMNAMS information
Descends from 5L 3s (oneirotonic)
Ancestor's step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 5s
Sister 8L 13s
Daughters 21L 13s, 13L 21s
Neutralized 5L 16s
2-Flought 34L 8s, 13L 29s
Equal tunings
Equalized (L:s = 1:1) 8\21 (457.1¢)
Supersoft (L:s = 4:3) 29\76 (457.9¢)
Soft (L:s = 3:2) 21\55 (458.2¢)
Semisoft (L:s = 5:3) 34\89 (458.4¢)
Basic (L:s = 2:1) 13\34 (458.8¢)
Semihard (L:s = 5:2) 31\81 (459.3¢)
Hard (L:s = 3:1) 18\47 (459.6¢)
Superhard (L:s = 4:1) 23\60 (460.0¢)
Collapsed (L:s = 1:0) 5\13 (461.5¢)

13L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 8 small steps, repeating every octave. 13L 8s is a grandchild scale of 5L 3s, expanding it by 13 tones. Generators that produce this scale range from 457.1¢ to 461.5¢, or from 738.5¢ to 742.9¢.

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