152edo

The 152 equal division divides the octave into 152 equally sized parts of 7.895 cents each. It is a strong 11-limit system, with the 3, 5, 7, and 11 slightly sharp. It provides the optimal patent val for the 11-limit grendel and kwai linear temperaments, the 13-limit rank two temperament octopus, the planar temperament laka, and the rank five temperament tempering out 169/168. It tempers out 1600000/1594323, the amity comma, in the 5-limit; 4375/4374, 5120/5103, 6144/6125 and 16875/15807 in the 7-limit; 540/539, 1375/1372, 4000/3993, 5632/5625 and 9801/9800 in the 11-limit, and 169/168, 325/324, 351/350, 364/363, 1001/1000, and 4096/4095 in the 13-limit.

Paul Erlich has suggested that 152 could be considered a sort of universal tuning.

152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76. It fuses 94edo and 58edo.