Just found the Greenwood function, “that describes the relationship between the frequency of a pure tone and the position of the hair cells measured as the fraction of the total length of the cochlear spiral in which it resides” – pretty cool.
R code to make the picture below:
curve(165.4*(10^(0.06*x)-1), 0.3, 35, log = "y", xlab = "mm", ylab = "Frequency", main = "Greenwood function")
