# Logarithmic phi

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**Logarithmic phi**, or 1200*[math]\varphi[/math] cents = 1941.6 cents (or, octave-reduced, 741.6 cents) is useful as a generator, for example in Erv Wilson's "Golden Horagrams". As a frequency relation it is [math]2^{\varphi}[/math], or [math]2^{\varphi - 1} = 2^{1/\varphi}[/math] when octave-reduced.

Logarithmic phi is not to be confused with acoustic phi, which is 833.1¢.

## See also

- Generating a scale through successive divisions of the octave by the Golden Ratio
- Golden meantone
- Metallic MOS

- The MOS patterns generated by logarithmic phi

- Related regular temperaments

- Music