458edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''458 equal division''' divides the octave into 458 equal parts of 2.620 cents each. It tempers out the kleisma, 15625/15552, in the 5-limit and provides the [[Optimal_patent_val|optimal patent val]] for the 5-limit planar kleismic temperament.
{{ED intro}}
 
458edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[5/1|5]] is about halfway between its steps. It is most notable for [[tempering out]] the kleisma, [[15625/15552]], in the 5-limit and provides the [[optimal patent val]] for the 5-limit [[kleismic]] temperament.
 
=== Odd harmonics ===
{{Harmonics in equal|458}}
 
=== Subsets and supersets ===
Since 458 factors into {{factorization|458}}, 458edo contains [[2edo]] and [[229edo]] as subsets.  


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