Acoustic phi: Difference between revisions
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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)]] | ||
* [[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 | ||
Revision as of 20:39, 1 April 2021
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.
Additional reading
- 833 Cent Golden Scale (Bohlen)
- Phi as a Generator
- sqrtphi, a temperament based on the square root of phi (~416.5 cents) as a generator