23edo: Difference between revisions

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== Approximation to irrational intervals ==
== Approximation to irrational intervals ==
=== Acoustic π and ϕ ===
23edo has good approximations of [[acoustic phi]] on 16\23, and [[pi]] on 38\23. 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.
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).


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{| class="wikitable center-all"
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| 1.692
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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.


== Regular temperament properties ==
== Regular temperament properties ==