181edo

181edo is the equal division of the octave into 181 parts of 6.6298 cents each. It tempers out 2109375/2097152 (semicomma) and 32000000000/31381059609 in the 5-limit; 2401/2400, 5120/5103, and 390625/387072 in the 7-limit (supporting the hemififths and the cotritone). Using the patent val, it tempers out 385/384, 1375/1372, 2200/2197, and 4000/3993 in the 11-limit; 325/324, 352/351, 847/845, and 1575/1573 in the 13-limit.

181edo is the 42nd prime EDO.

Just approximation

181edo is notable as being low in 19-limit relative error in the 100 to 200 range. It is consistent in the 21-odd-limit and distinctly consistent in the 19-odd-limit.