Acoustic phi: Difference between revisions
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* [[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. | ||
[[Category: | [[Category:Irrational intervals]] | ||
[[Category:Golden ratio]] | [[Category:Golden ratio]] | ||
Revision as of 03:01, 3 August 2022
Phi taken as a musical ratio (ϕ*f where f=1/1) is about 833.1 cents. This metastable interval is sometimes called acoustic 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.
Acoustic phi is not to be confused with logarithmic phi, which is 741.6¢.
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.