8L 5s

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8L 5s
Brightest mode LLsLLsLsLLsLs
Period 2/1
Range for bright generator 3\8 (450.0¢) to 5\13 (461.5¢)
Range for dark generator 8\13 (738.5¢) to 5\8 (750.0¢)
Parent MOS 5L 3s
Daughter MOSes 13L 8s, 8L 13s
Sister MOS 5L 8s
Equal tunings
Supersoft (L:s = 4:3) 18\47 (459.6¢)
Soft (L:s = 3:2) 13\34 (458.8¢)
Semisoft (L:s = 5:3) 21\55 (458.2¢)
Basic (L:s = 2:1) 8\21 (457.1¢)
Semihard (L:s = 5:2) 19\50 (456.0¢)
Hard (L:s = 3:1) 11\29 (455.2¢)
Superhard (L:s = 4:1) 14\37 (454.1¢)

8L 5s is a scale pattern that expands on oneirotonic (5L 3s). This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 semisixth, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to logarithmic phi, or even logarithmic phi itself.

cents 2g
3/8 450 900
17/45 453.333 906.667
31/82 453.512 907.024
14/37 454.054 908.108
25/66 454.5455 909.091
454.978 909.956
11/29 455.172 910.345
455.608 911.825
30/79 455.696 911.392
455.782 911.563
19/50 456 912
27/71 456.338 912.676
35/92 456.522 913.043
8/21 457.143 914.286
29/76 457.684 915.368
457.955 915.91
21/55 458.182 916.364
458.359 916.718
34/89 458.427 916.854
458.539 917.078
13/34 458.8235 917.647
31/81 459.259 918.5185
18/47 459.5745 919.149
23/60 460 920
5/13 461.5385 923.077