Acoustic phi: Difference between revisions

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extract and link to metastable-specific information
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[[Phi]] taken as a musical ratio (ϕ*f where f=1/1) is about 833.1 cents. This is sometimes called '''acoustical phi''', or the phi neutral sixth.
[[Phi]] taken as a musical ratio (ϕ*f where f=1/1) is about 833.1 cents. This [[metastable]] interval is sometimes called '''acoustical phi''', or the phi neutral sixth.


As the ratios of successive terms of the Fibonacci sequence converge on phi, the just intonation intervals 3/2, 5/3, 8/5, 13/8, 21/13, ... converge on ~833.1 cents.
As the ratios of successive terms of the Fibonacci sequence converge on phi, the just intonation intervals 3/2, 5/3, 8/5, 13/8, 21/13, ... converge on ~833.1 cents.
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* [[833 Cent Golden Scale (Bohlen)]]
* [[833 Cent Golden Scale (Bohlen)]]
* [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant: Complex ratios and metastable musical intervals], by [[Margo Schulter]] and [[David Keenan]]
* [[Phi as a Generator]]
* [[Phi as a Generator]]
* [[sqrtphi]], a temperament based on the square root of phi (~416.5 cents) as a generator
* [[sqrtphi]], a temperament based on the square root of phi (~416.5 cents) as a generator