296edo

The 296 equal temperament divides the octave into 296 equal parts of 4.054 cents each.

In the 5-limit, 296et not only tempers out the semicomma of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its optimal patent val, and tempers out the minortone comma, [-16 35 -17⟩. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-odd-limit. In the 7-limit it tempers out 4375/4374 and 16875/16807, supporting 7-limit octoid temperament. In the 11-limit, it tempers out 1375/1372, 6250/6237, 540/539, 4000/3993 and 3025/3024, and in the 13-limit 625/624, 729/728, 1575/1573, 1716/1715, 2080/2079, so that it also supports the 11- and 13-limit versions of octoid.

296 is divisible by 2, 4, 8, 37, 74 and 148.