User:Eliora/Phi to the phi

Interval information

Expression	[math]\displaystyle{ \varphi^{\varphi} }[/math]
Size in cents	1347.968¢
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.

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.