269edo

The 269 equal division divides the octave into 269 equal parts of 4.461 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for catakleismic and marvel temperaments.