12L 17s

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↖11L 16s↑12L 16s 13L 16s↗
←11L 17s12L 17s13L 17s→
↙11L 18s↓12L 18s 13L 18s↘
Brightest mode LsLsLssLsLssLsLsLssLsLssLsLss
Period 2/1
Range for bright generator 12\29 (496.6¢) to 5\12 (500¢)
Range for dark generator 7\12 (700¢) to 17\29 (703.4¢)
Parent MOS 12L 5s
Sister MOS 17L 12s
Daughter MOSes 29L 12s, 12L 29s
Equal tunings
Supersoft (L:s = 4:3) 41\99 (497¢)
Soft (L:s = 3:2) 29\70 (497.1¢)
Semisoft (L:s = 5:3) 46\111 (497.3¢)
Basic (L:s = 2:1) 17\41 (497.6¢)
Semihard (L:s = 5:2) 39\94 (497.9¢)
Hard (L:s = 3:1) 22\53 (498.1¢)
Superhard (L:s = 4:1) 27\65 (498.5¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard

12L 17s is an octave-equivalent moment of symmetry scale containing 12 large steps and 17 small steps, repeating every octave. 12L 17s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 496.6¢ to 500¢, or from 700¢ to 703.4¢.

Its chroma-positive generator is a near-perfect fourth of no more than 5\12 (500 ¢), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

Scale tree

12/29 496.552
53/128 496.875
41/99 496.97
70/169 497.041
29/70 497.143
497.211
75/181 497.238
497.254
46/111 497.297
497.353
63/152 497.368
17/41 497.561
56/135 497.778
39/94 497.842
497.935
61/147 497.959
497.985
22/53 498.113
498.178
49/118 498.305
27/65 498.4615
32/77 498.701
5/12 500