Acoustic phi: Difference between revisions
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Cmloegcmluin (talk | contribs) extracting from golden ratio |
Cmloegcmluin (talk | contribs) adding links which are about acoustic phi (I assumed they were about logarithmic phi when I first extracted from golden ratio, because they were about generators, but they are actually using acoustic phi or related intervals as generators) |
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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]] | * [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]] | |||
* [[sqrtphi]], a temperament based on the square root of phi (~416.5 cents) as a generator | |||
Revision as of 19:57, 1 April 2021
Phi taken as a musical ratio (ϕ*f where f=1/1) is about 833.1 cents. This is sometimes called acoustical phi.
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)
- The Noble Mediant: Complex ratios and metastable musical intervals, by Margo Schulter and David Keenan
- Phi as a Generator
- sqrtphi, a temperament based on the square root of phi (~416.5 cents) as a generator