23edo: Difference between revisions
ArrowHead294 (talk | contribs) No edit summary |
m →Acoustic π and ϕ: -> approximation to irrational intervals. Direct mapping -> direct approximation |
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[[File:Ciclo_Icositrifonía.png|alt=Ciclo Icositrifonía.png|491x490px|link=Harmony_of_23edo]] | [[File:Ciclo_Icositrifonía.png|alt=Ciclo Icositrifonía.png|491x490px|link=Harmony_of_23edo]] | ||
== Acoustic π and ϕ == | == Approximation to irrational intervals == | ||
=== 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" | {| class="wikitable center-all" | ||
|+Direct | |+Direct approximation | ||
|- | |- | ||
! Interval | ! Interval | ||
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|} | |} | ||
Not until [[72edo|72]] do we find a better | 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 == | ||