167edo: Difference between revisions
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'''167edo''' is the [[EDO|equal division of the octave]] into 109 parts of 7.18562874251 [[cent]]s each. It [[tempering_out|tempers out]] [[Würschmidt family|Würschmidt comma]], 393216/390625 and 10737418240/10460353203 in the [[5-limit]]; 2401/2400, 3136/3125, and 179200/177147 in the [[7-limit]]; 896/891, 2200/2187, and 3388/3375 in the [[11-limit]]; 325/324, 352/351, 364/363, 1001/1000, and 1716/1715 in the [[13-limit]]; 256/255, 442/441, 595/594, 715/714, and 936/935 in the [[17-limit]]. It provides the [[optimal patent val]] for 11-limit [[Breedsmic temperaments|unthirds temperament]] and 13- and 17-limit [[Porwell temperaments|polypyth temperament]]. | |||
[[Category: | 167edo is the 39th [[prime EDO]]. | ||
[[Category:Edo]] | |||
[[Category:Prime EDO]] | |||
[[Category:Theory]] | |||
Revision as of 08:05, 7 December 2018
167edo is the equal division of the octave into 109 parts of 7.18562874251 cents each. It tempers out Würschmidt comma, 393216/390625 and 10737418240/10460353203 in the 5-limit; 2401/2400, 3136/3125, and 179200/177147 in the 7-limit; 896/891, 2200/2187, and 3388/3375 in the 11-limit; 325/324, 352/351, 364/363, 1001/1000, and 1716/1715 in the 13-limit; 256/255, 442/441, 595/594, 715/714, and 936/935 in the 17-limit. It provides the optimal patent val for 11-limit unthirds temperament and 13- and 17-limit polypyth temperament.
167edo is the 39th prime EDO.