13L 5s

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↖12L 4s↑13L 4s 14L 4s↗
←12L 5s13L 5s14L 5s→
↙12L 6s↓13L 6s 14L 6s↘
Brightest mode LLLsLLLsLLsLLLsLLs
Period 2/1
Range for bright generator 11\18 (733.3¢) to 8\13 (738.5¢)
Range for dark generator 5\13 (461.5¢) to 7\18 (466.7¢)
Parent MOS 5L 8s
Sister MOS 5L 13s
Daughter MOSes 18L 13s, 13L 18s
Equal tunings
Supersoft (L:s = 4:3) 41\67 (734.3¢)
Soft (L:s = 3:2) 30\49 (734.7¢)
Semisoft (L:s = 5:3) 49\80 (735¢)
Basic (L:s = 2:1) 19\31 (735.5¢)
Semihard (L:s = 5:2) 46\75 (736¢)
Hard (L:s = 3:1) 27\44 (736.4¢)
Superhard (L:s = 4:1) 35\57 (736.8¢)

13L 5s is an octave-equivalent moment of symmetry scale containing 13 large steps and 5 small steps, repeating every octave. Modes of this scale are rotations of the step pattern LLLsLLLsLLsLLLsLLs. Generators that produce this scale range from 733.333¢ to 738.462¢, or from 461.538¢ to 466.667¢.

Table

generator L s L/s gen (cents) comment
5\13 1 0 461.538
42\109 8 1 8.000 462.385
37\96 7 1 7.000 462.500
32\83 6 1 6.000 462.651
27\70 5 1 5.000 462.857
49\127 9 2 4.500 462.992
22\57 4 1 4.000 463.158
39\101 7 2 3.500 463.366
56\145 10 3 3.333 463.448
17\44 3 1 3.000 463.636
46\119 8 3 2.667 463.866
29\75 5 2 2.500 464.000
41\106 7 3 2.333 464.151
53\137 9 4 2.250 464.234
12\31 2 1 2.000 464.516
55\142 9 5 1.800 464.789
43\111 7 4 1.750 464.865
31\80 5 3 1.667 465.000
50\129 8 5 1.600 465.116
19\49 3 2 1.500 465.306
45\116 7 5 1.400 465.517
26\67 4 3 1.333 465.672
33\85 5 4 1.250 465.882
40\103 6 5 1.200 466.019
47\121 7 6 1.167 466.116
54\139 8 7 1.143 466.187
7\18 1 1 1.000 466.667