338edo: Difference between revisions

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m Infobox ET added
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories
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{{Infobox ET}}
{{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]].
{{EDO intro|338}}
 
The equal temperament [[tempering out|tempers out]] {{monzo| 23 6 -14 }} ([[vishnuzma]]) 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 99 & 239 temperament.
 
=== Odd harmonics ===
{{Harmonics in equal|338}}
 
=== Subsets and supersets ===
Since 338 factors into {{factorization|338}}, 338edo has subset edos {{EDOs| 2, 13, 26, and 169 }}.  


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Hemififths]]
[[Category:Hemififths]]
[[Category:Vishnuzma]]
[[Category:Vishnuzmic]]