We need two things to have audio parameters representing pitch: the frequency of each harmonic, and a bandwidth to compute a filter arround them.
harmonic frequencies are calculated as follow:
We choose to have a bandwidth of an half-tone arround each harmonic frequency. That means we will have:
The problem is that this model is instrument depending, and for each harmonic band will we have to determine a factor in order to have an harmonic filter that corresponds to the instrument which is playing.