Logarithmic phi: Difference between revisions

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extracting from golden ratio
 
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'''Logarithmic phi''', or 1200*[[Phi|ϕ]] cents = 1941.6 cents (or, octave-reduced, 741.6 cents) is useful as a generator, for example in [[Erv Wilson]]'s "Golden Horagrams".
'''Logarithmic phi''', or 1200*[[Phi|ϕ]] cents = 1941.6 cents (or, octave-reduced, 741.6 cents) is useful as a generator, for example in [[Erv Wilson]]'s "Golden Horagrams".


== Additional reading ==
== See also ==
 
* The MOS patterns generated by logarithmic phi:
** [[3L 2s]]
** [[5L 3s]]
** [[8L 5s]]
** [[13L 8s]]
** [[21L 13s]]
** ...
* [[Generating a scale through successive divisions of the octave by the Golden Ratio]]
* [[Generating a scale through successive divisions of the octave by the Golden Ratio]]
* [[Golden meantone]]
* [[Golden meantone]]
* [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm 5- to 9-tone, octave-repeating scales from Wilson's Golden Horagrams of the Scale Tree], by [[David Finnamore]]
* [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm 5- to 9-tone, octave-repeating scales from Wilson's Golden Horagrams of the Scale Tree], by [[David Finnamore]]