This patch allows you to see the effect of different exponents in a formula that maps input values to output values with a power function. Input values between 0 and 1, taken to some power, will always yield output values from 0 to 1, provided that the exponent is greater than or equal to 0. (When the exponent is 0, the output values will all be 1.
As expressed in Fechner's law, our subjective sensation of a phenomenon is often proportional to the logarithm of the empirical measurements of the intensity of the physical event that evokes that sensation. One example of that in musical contexts is that our sensation of changes in musical pitch are proportional to the logarithm of the change in the measured fundamental frequency of a tone.
This patch demonstrates the sound of linear and exponential changes in pitch and amplitude.