13L 8s

↖12L 7s	↑13L 7s	14L 7s↗
←12L 8s	13L 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)
Required step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	8L 5s
Sister	8L 13s
Daughters	21L 13s 13L 21s
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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