Reliable classification of spectral peaks as tonal and noise-related is an important stage of hybrid sinusoidal+noise modeling. Spectral peaks of higher harmonics are often missed due to their wide frequency spread resulting from pitch variation. Recently introduced fan-chirp transform allows for compensating the changes of fundamental fre-quency in the process of spectral analysis of speech and harmonic sounds. In case of polyphonic audio the funda-mental is often not unique and/or is hard to estimate. We propose a simple technique for estimation of chirp rates from already detected partials to improve the detection of higher harmonics through the application of frequency warping and fan-chirp analysis.