Phi as a generator: Difference between revisions

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~~<ul><li>Phi as a Generator</li></ul>~~

Musically, the golden ratio is approximately 833.0903 cents. Just as the ratios of adjacent Fibonacci numbers approximate the golden ratio, the golden ratio in turn may be used to represent those ratios, and, equating whatever subset of these ratios one obtains various commas. Furthermore, the exponents of phi approximate the [http://en.wikipedia.org/wiki/Lucas_number Lucas numbers], closely allied with the Fibonacci numbers, with increasing accuracy, which can be put to good effect in a temperament. Furthermore, the square root of phi, 416.54515, generates the [[Kleismic_family#Sqrtphi|sqrtphi temperament]], a complex, accurate temperament extending into the higher prime limits, and this contains the phi generated temperament within it.

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[[97ed5|97ed5]] (280:347)

[[Category:catalog]]

[[Category:~~phi~~]]

[[Category:Golden]]

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-<ul><li>Phi as a Generator</li></ul>
 Musically, the golden ratio is approximately 833.0903 cents. Just as the ratios of adjacent Fibonacci numbers approximate the golden ratio, the golden ratio in turn may be used to represent those ratios, and, equating whatever subset of these ratios one obtains various commas. Furthermore, the exponents of phi approximate the [http://en.wikipedia.org/wiki/Lucas_number Lucas numbers], closely allied with the Fibonacci numbers, with increasing accuracy, which can be put to good effect in a temperament. Furthermore, the square root of phi, 416.54515, generates the [[Kleismic_family#Sqrtphi|sqrtphi temperament]], a complex, accurate temperament extending into the higher prime limits, and this contains the phi generated temperament within it.
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 [[97ed5|97ed5]] (280:347)
 [[Category:catalog]]
-[[Category:phi]]
+[[Category:Golden]]