306edo

The 306 equal division divides the octave into 306 equal parts of 3.922 cents each, and thereby provides a very accurate fifth, only 0.006 cents sharp. In the 5-limit, the patent val tempers out 78732/78125, whereas the alternative 306c val tempers out 32805/32768. In the 7-limit the patent val tempers out 6144/6125, whereas 306c tempers out 16875/16807. 306 is the denominator of 179/306, the continued fraction convergent after 31/53 and before 389/665 in the sequence of continued fraction approximations to the log base 2 of 3/2. On the 2*306 subgroup 2.3.25.7.55 it takes the same values as 612edo.