368edo
368edo is the equal division of the octave into 368 parts of 3.26087 cents each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.
Related regular temperaments
368edo supports the 11-limit octoid temperament. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.
368edo is very nearly the POTE tuning of 23-limit icositritonic temperament (46&161, named by Xenllium), which is supported by 46edo, 115edo, 161edo, 207edo, and the 368ci val.
Related scales
Icositritonic scales