248edo

The 248 equal division divides the octave into 248 equal parts of 4.389 cents each. It tempers out 32805/32768 in the 5-limit; 3136/3125 and 420175/419904 in the 7-limit; 441/440 and 8019/8000 in the 11-limit; 729/728, 847/845, 1001/1000, 1575/1573 and 2200/2197 in the 13-limit. It supports bischismic temperament, providing the optimal patent val for 11-limit bischismic, and excellent tunings in the 7 and 13-limits. It also provides the optimal patent val for essence temperament. It is notable for its combination of precise intonation with an abundance of essentially tempered chords. 248 has divisors 2, 4, 8, 31, 62, and 124.