559edo

559EDO is the equal division of the octave into 559 parts of 2.146691 cents each. It tempers out the luna comma, 274877906944/274658203125 and the minortonma, [-16 35 -17⟩ in the 5-limit, as well as the monzisma, [54 -37 2⟩; 4375/4374, 2100875/2097152, and 282475249/281250000 in the 7-limit; 12005/11979, 41503/41472, 160083/160000, and 172032/171875 in the 11-limit. Rank two temperaments it supports include mitonic, lunatic, acrokleismic, monzism, and meridic.