Computing systems and methods for estimation and correction of audio pitch variations resulting from eccentric rotation in the playback of phonograph records are disclosed. The methods include simulation of phonograph playback to generate eccentric and non-eccentric time bases for correction. Estimation of eccentricity parameters is done by a parameter optimization through evaluation of a spectral sharpness detection function on time-spectral content of audio data. Candidate audio data are generated using phonograph simulation while conducting an optimal parameter search. The disclosed technology further provides systems and methods to correct audio using such parameters to correct the induced pitch variations from eccentric phonograph record playback in order to improve the pitch stability of audio recordings. In addition, the physical properties of groove radius and playback speed variations in phonograph playback may be estimated from the eccentric record playback.