User:Eliora/Phi to the phi: Difference between revisions
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Expression
[math]\displaystyle{ \varphi^{\varphi} }[/math]
Size in cents
1347.968¢
Name
phi to the phi
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{{Infobox Interval | |||
| Ratio = \varphi^{\varphi} | |||
| Cents = 1347.9684152029295 | |||
| Name = phi to the phi | |||
}} | |||
'''Phi to the phi''' is the interval, which if used as an interval of equivalence, equates [[acoustic phi]] with [[logarithmic phi]]. The interval measures 1347.9684152 cents, making it a neutral ninth. | '''Phi to the phi''' is the interval, which if used as an interval of equivalence, equates [[acoustic phi]] with [[logarithmic phi]]. The interval measures 1347.9684152 cents, making it a neutral ninth. | ||
Revision as of 18:51, 27 October 2022
| Interval information |
Phi to the phi is the interval, which if used as an interval of equivalence, equates acoustic phi with logarithmic phi. The interval measures 1347.9684152 cents, making it a neutral ninth.
Notation proposed by Eliora: Cyrillic ф
Theory
Golden ratio raised to the power of itself is equal to about 2.1784.
Concoctic scales made of two Fibonacci numbers (8&13, 13&21, 21&34, etc.) have both the amount of notes to the period approaching phi. and a generator that increasingly approaches logarithimic phi. When phi to the phi is used as an interval of equivalence, the generator also approaches the acoustic phi.
Useful divisions
8edф, 13edф, 21edф, etc.