107edo

107edo is the equal division of the octave into 107 parts of 11.214953271 cents each. It is inconsistent to the 5-limit and higher limit, with four mappings possible for the 7-limit: <107 170 248 300| (optimal patent val), <107 169 248 300| (107b), <107 170 249 300| (107c), and <107 170 249 301| (107cd). Using the optimal patent val, it tempers out the small diesis, 3125/3072 and 33554432000/31381059609 in the 5-limit; 1029/1024, 2240/2187, and 3125/3087 in the 7-limit. Using the 107b val, it tempers out the syntonic comma, 81/80 and |-61, -1, 27> in the 5-limit; 2401/2400, 2430/2401, and 234375/229376 in the 7-limit. Using the 107c val, it tempers out the immunity comma, 1638400/1594323 and the valentine comma, 1990656/1953125 in the 5-limit; 126/125, 1029/1024, and 307328/295245 in the 7-limit. Using the 107cd val, it tempers out 1728/1715, 4000/3969, and 28672/28125 in the 7-limit.

It is the 28th prime edo.