167edo

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.