49edo: Difference between revisions
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== 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]]. | ||
{| class="wikitable center-all" | |||
|+Direct mapping | |||
|- | |||
! Interval | |||
! Error (abs, [[Cent|¢]]) | |||
|- | |||
| ϕ<sup>(2-ϕ)</sup> | |||
| 0.155c | |||
|- | |||
| ϕ | |||
| -0.437c | |||
|- | |||
| ϕ<sup>ϕ<sup>-1</sup></sup> | |||
| -0.592 | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||