15L 6s

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↖ 14L 5s ↑ 15L 5s 16L 5s ↗
← 14L 6s 15L 6s 16L 6s →
↙ 14L 7s ↓ 15L 7s 16L 7s ↘
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐
│║║║│║║│║║║│║║│║║║│║║││
│││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLLsLLsLLLsLLs
sLLsLLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 4\21 to 3\15 (228.6 ¢ to 240.0 ¢)
Dark 2\15 to 3\21 (160.0 ¢ to 171.4 ¢)
TAMNAMS information
Related to 6L 3s (hyrulic)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 6L 9s
Sister 6L 15s
Daughters 21L 15s, 15L 21s
Neutralized 9L 12s
2-Flought 36L 6s, 15L 27s
Equal tunings
Equalized (L:s = 1:1) 4\21 (228.6 ¢)
Supersoft (L:s = 4:3) 15\78 (230.8 ¢)
Soft (L:s = 3:2) 11\57 (231.6 ¢)
Semisoft (L:s = 5:3) 18\93 (232.3 ¢)
Basic (L:s = 2:1) 7\36 (233.3 ¢)
Semihard (L:s = 5:2) 17\87 (234.5 ¢)
Hard (L:s = 3:1) 10\51 (235.3 ¢)
Superhard (L:s = 4:1) 13\66 (236.4 ¢)
Collapsed (L:s = 1:0) 3\15 (240.0 ¢)

15L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 6 small steps, with a period of 5 large steps and 2 small steps that repeats every 400.0 ¢, or 3 times every octave. 15L 6s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 228.6 ¢ to 240 ¢, or from 160 ¢ to 171.4 ¢.

Modes

Modes of 15L 6s
UDP Cyclic
order
Step
pattern
18|0(3) 1 LLLsLLsLLLsLLsLLLsLLs
15|3(3) 5 LLsLLLsLLsLLLsLLsLLLs
12|6(3) 2 LLsLLsLLLsLLsLLLsLLsL
9|9(3) 6 LsLLLsLLsLLLsLLsLLLsL
6|12(3) 3 LsLLsLLLsLLsLLLsLLsLL
3|15(3) 7 sLLLsLLsLLLsLLsLLLsLL
0|18(3) 4 sLLsLLLsLLsLLLsLLsLLL

Scale tree

Template:Scale tree