49edo: Difference between revisions
Contribution (talk | contribs) |
Contribution (talk | contribs) |
||
| Line 269: | Line 269: | ||
== Acoustic ϕ and ϕ<sup>ϕ<sup>-1</sup></sup> == | == Acoustic ϕ and ϕ<sup>ϕ<sup>-1</sup></sup> == | ||
49edo has a very close approximation of both [[acoustic phi]] and ϕ<sup>ϕ<sup>-1</sup></sup>, a kind of logarithmic phi that divides [[acoustic phi]] logarithmically by phi [[Logarithmic phi|instead of 2/1]]. ϕ<sup>ϕ<sup>-1</sup></sup> has interesting applications as [[Metallic MOS]], and in particular the fractal-like possibilities of self-similar subdivision of musical scales within [[acoustic phi]]. | 49edo has a very close approximation of both [[acoustic phi]] and ϕ<sup>ϕ<sup>-1</sup></sup>, a kind of logarithmic phi that divides [[acoustic phi]] logarithmically by phi [[Logarithmic phi|instead of 2/1]]. ϕ<sup>ϕ<sup>-1</sup></sup> has interesting applications as [[Metallic MOS]], and in particular the fractal-like possibilities of self-similar subdivision of musical scales within [[acoustic phi]]. | ||
Not until [[592edo|592]] do we find a better EDO in terms of relative error on these two intervals. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||