638edo: Difference between revisions

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 {{Infobox ET}}
-The '''638 equal temperament''' divides the octave into 638 equal parts of 1.881 cents each. It tempers out the minortone comma, | -16 35 -17 &gt;, in the 5-limit, 4375/4374 in the 7-limit, 43923/43904, 3025/3024, 9801/9800 in the 11-limit, and 625/624, 729/728, 1575/1573, 2200/2197 and 4225/4224 in the 13-limit. It supplies the optimal patent val for [[Ragismic_microtemperaments#Quatracot|quatracot temperament]]. 638 factors as 2*11*29.
+{{EDO intro|638}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament [[tempering out|tempers out]] the minortone comma, {{monzo| -16 35 -17 }}, in the 5-limit, [[4375/4374]] in the 7-limit, [[3025/3024]], [[9801/9800]], and 43923/43904, in the 11-limit; and [[625/624]], [[729/728]], [[1575/1573]], [[2200/2197]] and [[4225/4224]] in the 13-limit. It supplies the [[optimal patent val]] for [[quatracot]], the 224 & 414 temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|638}}
+=== Subsets and supersets ===
+Since 638 factors as 2 × 11 × 29, 638edo has subset edos {{EDOs| 2, 11, 22, 29, 58, and 319 }}.