Acoustic phi: Difference between revisions
Jump to navigation
Jump to search
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) |
Cmloegcmluin (talk | contribs) add another name |
||
| Line 1: | Line 1: | ||
[[Phi]] taken as a musical ratio (ϕ*f where f=1/1) is about 833.1 cents. This is sometimes called '''acoustical phi'''. | [[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. | ||
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. | ||
Revision as of 20:02, 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, 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)
- 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