539edo: Difference between revisions

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-{{novelty}}{{stub}}{{Infobox ET}}
+{{Infobox ET}}
-The '''539 equal division''' divides the octave into 539 equal parts of 2.227 cents each. It tempers out the sensipent comma, 78732/78125, and provides the [[Optimal_patent_val|optimal patent val]] for the 5-limit sensipent temperament.
+{{ED intro}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo is in[[consistent]] to the [[5-odd-limit]]. If [[harmonic]] [[5/1|5]] is used at all, the 539c [[val]] has better overall accuracy than the [[patent val]]. Meanwhile, the patent val [[tempering out|tempers out]] the [[sensipent comma]], 78732/78125, and provides the [[optimal patent val]] for the 5-limit [[sensipent]] temperament, tuning it more accurate than 65et by a tiny margin.
+=== Odd harmonics ===
+{{Harmonics in equal|539}}
+=== Subsets and supersets ===
+Since 539 factors into {{factorization|539}}, 539edo has subset edos {{EDOs| 7, 11, 49, and 77 }}.
+[[Category:Sensipent]]