217edo

The 217 equal division divides the octave into 217 equal parts of 5.530 cents each. It is a strong 19-limit system, the smallest uniquely consistent in the 19-limit and consistent to the 21-limit. In the 5-limit it tempers out the parakleisma, |8 14 -13>, and the escapade comma, |32 -7 -9>; in the 7-limit 10976/10935, 3136/3125 and 4375/4374; in the 11-limit 441/440, 4000/3993 and 5632/5625; in the 13-limit 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079; in 17-limit 595/594, 833/832, 936/935, 1156/1155, 1225/1224, 1701/1700; in the 19-limit 343/342, 476/475, 969/968, 1216/1215, 1445/1444, 1521/1520 and 1540/1539.