146edo
The 146 edo divides the octave into 146 equal parts of 8.219178 cents each. It has an accurate major third, only 0.012344 cents compressed from just 5/4 interval. 146edo is the denominator of a convergent to log25, after 3, 28 and 59, and before 643. However, it also provides the optimal patent val for the 11-limit newspeak temperament. It tempers out the semicomma, 2109375/2097152 and 129140163/125000000 in the 5-limit; 225/224, 1728/1715, and 100442349/97656250 in the 7-limit; 441/440, 1375/1372, 1944/1925, and 43923/43750 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 1573/1568 in the 13-limit.