338edo: Difference between revisions

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 {{Infobox ET}}
-The '''338 equal division''' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val|optimal patent val]] for [[Breedsmic_temperaments#Hemififths|hemififths temperament]].
+{{ED intro}}
+The equal temperament [[tempering out|tempers out]] {{monzo| 23 6 -14 }} ([[vishnu comma]]) in the [[5-limit]], and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the [[7-limit]]. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the {{nowrap| 99 & 239 }} temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|338}}
+=== Subsets and supersets ===
+Since 338 factors into {{nowrap| 2 × 13<sup>2</sup> }}, 338edo has subset edos {{EDOs| 2, 13, 26, and 169 }}.
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Hemififths]]
-[[Category:Vishnuzma]]