5585edo: Difference between revisions
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The 5585 division divides the octave into 5585 equal parts of 0.21486 cents each. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], which has to do with the fact that it is a strong 13-limit division, with a lower 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller edo, though [[6079edo|6079]], only slightly larger, beats it. A basis for its 13-limit commas is {123201/123200, 151263/151250, 8858304/8857805, 8859375/8859136, 62752536/62748517}. | The '''5585 division''' divides the octave into 5585 equal parts of 0.21486 cents each. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], which has to do with the fact that it is a strong 13-limit division, with a lower 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller edo, though [[6079edo|6079]], only slightly larger, beats it. A basis for its 13-limit commas is {123201/123200, 151263/151250, 8858304/8857805, 8859375/8859136, 62752536/62748517}. | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
Revision as of 01:33, 4 July 2022
The 5585 division divides the octave into 5585 equal parts of 0.21486 cents each. It is a zeta peak edo, which has to do with the fact that it is a strong 13-limit division, with a lower 13-limit relative error than any smaller edo, though 6079, only slightly larger, beats it. A basis for its 13-limit commas is {123201/123200, 151263/151250, 8858304/8857805, 8859375/8859136, 62752536/62748517}.