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}.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+edo is a [[zeta peak edo]], which has to do with the fact that it is a strong [[13-limit]] system, 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}.
+=== Prime harmonics ===
+{{Harmonics in equal|5585|columns=11}}
+{{Harmonics in equal|5585|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 5585edo (continued)}}