I hope you weren't referring this...
Quote from somewhere on the interweb:
"The spectrum of pink noise has a -3dB/octave slope, or constant energy per octave. It looks flat when using a logarithmic frequency scale. Pink noise is usually used for equalizing rooms because it shows up as a flat line on standard 1/3 octave band analyzers."
https://en.wikipedia.org/wiki/Pink_noise
A hypothesis (referred to as the Tweedie hypothesis) has been proposed to explain the genesis of pink noise on the basis of a mathematical convergence theorem related to the central limit theorem of statistics.[31] The Tweedie convergence theorem[32] describes the convergence of certain statistical processes towards a family of statistical models known as the Tweedie distributions. These distributions are characterized by a variance to mean power law, that have been variously identified in the ecological literature as Taylor's law[33] and in the physics literature as fluctuation scaling.[34] When this variance to mean power law is demonstrated by the method of expanding enumerative bins this implies the presence of pink noise, and vice versa.[31] Both of these effects can be shown to be the consequence of mathematical convergence such as how certain kinds of data will converge towards the normal distribution under the central limit theorem. This hypothesis also provides for an alternative paradigm to explain power law manifestations that have been attributed to self-organized criticality.[35]
Last edited: