107edo: Difference between revisions

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'''107edo''' ~~has~~ 11.214953271 cents ~~as its step size~~. It is inconsistent to the 5-limit and higher limit, with ~~three~~ mappings possible for the 5-limit: <107 170 248| (optimal patent val), <107 169 248| (107b), and <107 170 249| (~~107c~~). Using the optimal patent val, it tempers out the [[Magic family|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.

'''107edo''' is the [[EDO|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 [[Magic family|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]].

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	'''107edo''' ~~has~~ 11.214953271 cents ~~as its step size~~. It is inconsistent to the 5-limit and higher limit, with ~~three~~ mappings possible for the 5-limit: <107 170 248\| (optimal patent val), <107 169 248\| (107b), and <107 170 249\| (~~107c~~). Using the optimal patent val, it tempers out the [[Magic family\|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.		'''107edo''' is the [[EDO\|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 [[Magic family\|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]].		It is the 28th [[prime edo]].