78005edo: Difference between revisions

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The 78005 division divides the octave into 78005 equal parts of 0.01538 cents each. While it is distinctly consistent through the 21 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 loglfat badness]] than any smaller edo excepting [[4296edo|4296]]. It tempers out |232 -183 25>, |324 8 -145>, |92 191 -170>, |140 -374 195>, the selenia, |-433 -137 280>, and the quark |-573 237 85>.
'''78005EDO''' is the [[EDO|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 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 |232 -183 25>, |324 8 -145>, |92 191 -170>, |140 -374 195>, the selenia |-433 -137 280>, and the quark |-573 237 85>.
 
[[Category:Edo]]
[[Category:Theory]]