49edo: Difference between revisions
→Music: Add ''weathergirl - FLAVOR FOLEY (microtonal cover in 49edo)'' (2025) by Bryan Deister |
added info regarding the phith root of phi and how well approximated it is |
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== Approximation to irrational intervals == | == Approximation to irrational intervals == | ||
=== 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 dividing 2/1]]). | 49edo has a very close approximation of both [[acoustic phi]] and [[phith root of phi|ϕ<sup>ϕ<sup>-1</sup></sup>]], a kind of logarithmic phi that divides [[acoustic phi]] logarithmically by phi ([[Logarithmic phi|instead of dividing 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]]. | The [[phith root of phi|phith root of phi (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]]. | ||
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