26edo: Difference between revisions

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-== Logarithmic ϕ, Acoustic π and ϕ ==
+== Acoustic π just in between the ϕ intervals ==
-edo has the very good [[logarithmic phi]] / 2 (16\26) and [[acoustic phi]] (18\26) provided by [[13edo]], and gets a very good [[11/7#Proximity with π/2|acoustic π/2]] just in between these two intervals (17\26), although not as close as the one of [[23edo]].
+After [[13edo]], the weird coïncidences continue: [[11/7#Proximity with π/2|acoustic π/2]] (17\26) is just in between the ϕ intervals provided by [[13edo]] (16\26 for [[Logarithmic phi|logarithmic ϕ]]/2, and 18\26 for [[Acoustic phi|acoustic ϕ]]).
-Not until [[89edo|89]] do we find a better EDO in terms of absolute error on these intervals, and not until [[1076edo|1076]] do we find one in terms of relative error.
+Not until 1076edo do we find a better EDO in terms of relative error on these intervals.
+However, it should be noted that from a musical standpoint, only the acoustic intervals are truly relevant, and from this perspective, acoustic π and acoustic ϕ are both better represented on [[23edo]].
 == Rank two temperaments ==