73709edo: Difference between revisions

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'''73709EDO''' is the [[EDO|equal division of the octave]] into 73709 parts of 0.01628024 [[cent]]s each. While it is distinctly consistent through the 11 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller EDO. It tempers out |21 290 -207> and |-573 237 85> (quark) in the 5-limit.
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[[Category:Equal divisions of the octave]]
While it is distinctly [[consistent]] through the 11-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any smaller edo. However, [[78005edo]], only slightly larger, beats it. It tempers out {{monzo| 21 290 -207 }} and {{monzo| -573 237 85 }} (quark) in the 5-limit.
[[Category:Theory]]
 
=== Prime harmonics ===
{{Harmonics in equal|73709}}