251edo

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251edo

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Prime factorization	251 (prime)
Step size	4.78088 ¢
Fifth	147\251 (702.789 ¢)
Semitones (A1:m2)	25:18 (119.5 ¢ : 86.06 ¢)
Consistency limit	9
Distinct consistency limit	9

251edo is the equal division of the octave into 251 parts of 4.7809 cents each. It tempers out 1600000/1594323 (amity comma) and 562949953421312/556182861328125 (maquila comma) in the 5-limit; 4375/4374, 5120/5103, and 40500000/40353607 in the 7-limit. Using the patent val, it tempers out 1331/1323, 1375/1372, 16896/16807, and 24057/24010 in the 11-limit; 352/351, 676/675, 847/845, and 1573/1568 in the 13-limit. Using the 251e val, it tempers out 540/539, 5632/5625, 6250/6237, and 12005/11979 in the 11-limit; 364/363, 676/675, 1716/1715, and 3584/3575 in the 13-limit.

251edo is the 54th prime EDO.