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. It should be noted that super-logarithms are traditionally only defined for integer outputs, and there are various extensions of it for non-integer outputs (most commonly the linear and quadratic approximations, as mentioned on the Wikipedia article) which have differing definitions.
If super-pitch is used instead of pitch, equivalence works differently. For example, in a pitch-based system, the frequency x would be octave-equivalent to 2*x, 2*2*x, etc. and x/2, x/2/2, etc. But in a super-pitch based system, it would be octave-equivalent to 22x, etc. and log2(x), log2(log2(x)), etc.