458edo: Difference between revisions

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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.
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.


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

Revision as of 21:56, 4 October 2022

← 457edo 458edo 459edo →
Prime factorization 2 × 229
Step size 2.62009 ¢ 
Fifth 268\458 (702.183 ¢) (→ 134\229)
Semitones (A1:m2) 44:34 (115.3 ¢ : 89.08 ¢)
Consistency limit 3
Distinct consistency limit 3

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 for the 5-limit planar kleismic temperament.