I expect any equation for a circular membrane would be more complicated given we have modes in two axes. But I have no doubt an approximate equation can similarly be derived relative to (0,1) with sufficient knowledge and skill.
Analyzing a recording of a drum is useless, as there are hundreds...
I have been working on some acoustic synthesis software for modelling several acoustic instruments. I am using the principle of modal synthesis, where every mode of vibration is individually synthesized, generally using a resonant bandpass filter (or sine wave). I have used this approach to get...
