Logarithmic phi: Difference between revisions

Fredg999 category edits (talk | contribs)
m Categories
Plumtree (talk | contribs)
m Infobox Interval added
Line 1: Line 1:
{{Infobox Interval
| Ratio = 2^{\varphi} {{=}} 2^{\frac{1+\sqrt{5} }{2} }
| Cents = 1941.640786499874
| Name = logarithmic phi
}}
'''Logarithmic phi''', or 1200*[[Phi|<math>\varphi</math>]] cents = 1941.6 cents (or, octave-reduced, 741.6 cents) is useful as a generator, for example in [[Erv Wilson]]'s "Golden Horagrams". As a frequency relation it is <math>2^{\varphi}</math>, or  <math>2^{\varphi - 1} = 2^{1/\varphi}</math> when octave-reduced.
'''Logarithmic phi''', or 1200*[[Phi|<math>\varphi</math>]] cents = 1941.6 cents (or, octave-reduced, 741.6 cents) is useful as a generator, for example in [[Erv Wilson]]'s "Golden Horagrams". As a frequency relation it is <math>2^{\varphi}</math>, or  <math>2^{\varphi - 1} = 2^{1/\varphi}</math> when octave-reduced.


Line 23: Line 28:
* [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm 5- to 9-tone, octave-repeating scales from Wilson's Golden Horagrams of the Scale Tree], by [[David Finnamore]]
* [http://www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm 5- to 9-tone, octave-repeating scales from Wilson's Golden Horagrams of the Scale Tree], by [[David Finnamore]]


[[Category:Irrational intervals]]
[[Category:Golden ratio]]
[[Category:Golden ratio]]