212edo

212 equal temperament divides the octave into 212 equal parts of 5.660 cents each.

Theory

212 = 4 × 53, and it shares the 3rd, 5th, and 13th harmonics with 53edo, but the mapping differs for 7 and 11.

It tempers out the same commas (15625/15552, 32805/32768, 1600000/1594323, etc.) as 53edo in the 5-limit.

In the 7-limit, it tempers out 2401/2400 (breedsma), 390625/388962 (dimcomp comma), and 4802000/4782969 (canousma).

In the 11-limit, 385/384 (keenanisma), 1375/1372 (moctdel comma), 6250/6237 (liganellus comma), 9801/9800 (kalisma) and 14641/14580 (semicanousma).

In the 13-limit, 325/324 (marveltwin comma), 625/624 (tunbarsma), 676/675 (island comma), 1001/1000 (sinbadma), 1716/1715 (lummic comma), 2080/2079 (ibnsinma).

It is distinctly consistent in the 15-odd-limit with harmonics of 3 through 13 all tuned flat. It is the optimal patent val for 7- and 13-limit quadritikleismic temperament, the 7-limit rank-3 kleismic temperament, and the 13-limit rank-3 agni temperament. 212gh val shows some potential beyond 15-odd-limit. Also, using 212bb val (where fifth is flattened by single step, approximately 1/4 comma) gives a tuning almost identical to the POTE tuning for 5-limit meantone.