513edo: Difference between revisions

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 {{Infobox ET}}
-'''513EDO''' is the [[EDO|equal division of the octave]] into 513 parts of 2.33918 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.
+{{EDO intro|513}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo divides the steps of [[171edo]] into three. It is [[consistent]] to the [[11-odd-limit]], [[tempering out]] [[4000/3993]], 12005/11979, and 46656/46585 using the [[patent val]]. Using the alternative 513e [[val]], 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.
+=== Prime harmonics ===
+{{Harmonics in equal|513}}
+=== Subsets and supersets ===
+Since 513 factors into 3<sup>3</sup> × 19, 513edo has subset edos {{EDOs| 3, 9, 19, 27, 57, and 171 }}.