User:CompactStar/Super-pitch
Super-pitch is a quantity that is equal to the super-logarithm (inverse tetration) of frequency, just as pitch is the logarithm of frequency.
Tetration and super-logarithm
Tetration is iterated exponentiation, like how exponentiation is iterated multiplication. Tetration can be defined recursively as: a↑↑b = 1 if b = 0 a↑↑b = aa↑(b-1) if b > 0 For example, a↑↑1 = a, a↑↑2 = aa, and a↑↑3 = aaa.