49edo: Difference between revisions
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== Approximation to irrational intervals == | == Approximation to irrational intervals == | ||
=== Acoustic ϕ and ϕ<sup>ϕ<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 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]]). | ||
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! #\49 | ! #\49 | ||
|- | |- | ||
| ϕ / ϕ<sup>ϕ<sup> | | {{nowrap|ϕ / ϕ<sup>ϕ<sup>−1</sup></sup> {{=}} ϕ<sup>(2 − ϕ)</sup>}} | ||
| 0.155 | | 0.155 | ||
| 13 | | 13 | ||
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| 34 | | 34 | ||
|- | |- | ||
| ϕ<sup>ϕ<sup> | | ϕ<sup>ϕ<sup>−1</sup></sup> | ||
| −0.592 | | −0.592 | ||
| 21 | | 21 | ||