23edo: Difference between revisions

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== Acoustic π and ϕ ==
== Acoustic π and ϕ ==
23edo has a very close approximation of [[11/7#Proximity with π/2|acoustic π/2]] on 15\23 and a very close approximation of [[acoustic phi]] on the step just above (16\23).
23edo has a very close approximation of [[11/7#Proximity with π/2|acoustic π/2]] on 15\23 and a very close approximation of [[acoustic phi]] on the step just above (16\23).
{| class="wikitable center-all"
|+Direct mapping
|-
! Interval, complement
! Error (abs, [[Cent|¢]])
|-
| π
| 0.813
|-
| π/ϕ
| 0.879
|-
| ϕ
| 1.692
|}


Not until [[72edo|72]] do we find a better EDO in terms of absolute error, and not until [[749edo|749]] do we find one in terms of relative error if we also include π/ϕ.
Not until [[72edo|72]] do we find a better EDO in terms of absolute error, and not until [[749edo|749]] do we find one in terms of relative error if we also include π/ϕ.