The intensity dependence of signal processing in the cat cochlea was studied in responses of single auditory‐nerve fibers for harmonic complexes having various amplitude and phase spectra. Analyses were based on information present in temporal discharge cadences, and they consisted of assessing Fourier spectra of period histograms synchronized to the period of the waveform fundamental. At low intensities, response spectra resembled filtered versions of the stimulus spectrum, with the amounts of filtering being determined by fibers’ tuning curves. At high intensities, response spectra exhibited nonlinear behavior and could differ dramatically from spectra obtained at low intensities. The high‐intensity response typically emphasized one or more aspects of the stimulus spectrum. When the stimulus possessed equal component amplitudes and phases, the features that were emphasized at high intensities were the high‐ and low‐frequency edges of the spectrum, and when the component at fiber CF was changed in phase or amplitude relative to the others, fibers primarily signaled the presence of the phase‐ or amplitude‐shifted component. Many of the intensity‐dependent changes in response spectra are accounted for by considering the effects of the compressive input–output nonlinearity operating at or peripheral to the hair‐cell level on the temporal waveform.