26edo: Difference between revisions

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== Approximation to irrational intervals ==
== Approximation to irrational intervals ==
After [[13edo#Phi vibes|13edo]], the weird coïncidences continue: [[11/7#Proximity with π/2|acoustic π/2]] (17\26) is just in between [[13edo#Phi vibes|the ϕ intervals provided by 13edo]] (16\26 for [[Logarithmic phi|logarithmic ϕ]]/2, and 18\26 for [[Acoustic phi|acoustic ϕ]]).
After [[13edo #Approximation to irrational intervals|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 1076edo do we find a better edo in terms of relative error on these intervals (which is not a very relevant edo for logarithmic ϕ, since 1076 does not belong to the Fibonacci sequence).
Not until 1076edo do we find a better edo in terms of relative error on these intervals (which is not a very relevant edo for logarithmic ϕ, since 1076 does not belong to the Fibonacci sequence).


However, it should be noted that [[Logarithmic constants VS acoustic constants|from an acoustic perspective]], acoustic π and acoustic ϕ are both better represented on [[23edo]].
However, it should be noted that [[User:Contribution/Logarithmic constants VS acoustic constants (opinion piece article)|from an acoustic perspective]], acoustic π and acoustic ϕ are both better represented on [[23edo]].


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