78005edo: Difference between revisions

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{{novelty}}{{stub}}{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|78005}} While it is distinctly [[consistent]] through the 21-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, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness|TE logflat badness]] than any smaller edo excepting [[4296edo|4296]]. It tempers out {{monzo| 232 -183 25 }}, {{monzo| 324 8 -145 }}, {{monzo| 92 191 -170 }}, {{monzo| 140 -374 195 }}, the selenia {{monzo| -433 -137 280 }}, and the quark {{monzo| -573 237 85 }}.
{{ED intro}}
 
While 78005edo is [[consistency|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is a very strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo|4296]]. The equal temperament [[tempering out|tempers out]] {{monzo| 232 -183 25 }}, {{monzo| 324 8 -145 }}, {{monzo| 92 191 -170 }}, {{monzo| 140 -374 195 }}, the selenia {{monzo| -433 -137 280 }}, and the quark {{monzo| -573 237 85 }}.


=== Prime harmonics ===
=== Prime harmonics ===