3178edo: Difference between revisions

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 {{EDO intro}}
-This edo is quite accurate in the [[23-limit]] and has an exceptional approximation of [[harmonic]] [[13/1|13]]. However, like most edos of this size, it is rather impractical to use. It tempers out several of the smaller 23-limit [[Superparticular ratio|superparticular commas]], including [[28561/28560]], [[28900/28899]], [[43264/43263]], and [[43681/43680]].
+edo is quite accurate in the [[23-limit]], [[consistent]] to the [[27-odd-limit]], and has an exceptional approximation of [[harmonic]] [[13/1|13]]. However, like most edos of this size, it is rather impractical to use. It [[tempering out|tempers out]] several of the smaller 23-limit [[superparticular ratio|superparticular commas]], including [[9801/9800]] in the 11-limit; [[10648/10647]] and [[123201/123200]] in the 13-limit; [[5832/5831]], [[14400/14399]], and [[28561/28560]] in the 17-limit; [[6175/6174]], 10830/10829, 12636/12635, 14080/14079, 14365/14364, 23409/23408, 28900/28899, and 43681/43680 in the 19-limit; 8625/8624, 11271/11270, 12168/12167 and 43264/43263 in the 23-limit.
 === Prime harmonics ===
 {{Harmonics in equal|3178}}