26edo: Difference between revisions

Contribution (talk | contribs)
Contribution (talk | contribs)
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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#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]]).


Not until 1076edo do we find a better EDO in terms of relative error on these intervals.
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 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]].
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]].


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{| class="wikitable center-all"