We measured responses of macaque retinal ganglion cells to different periodic waveforms (sinusoidal, square, rapid-on and rapid-off sawtooth waveforms) for both luminance and equiluminant chromatic modulation. We analyzed the responses with a peak-to-trough detector. At low frequencies, on-center and off-center magnocellular (MC-) pathway cells showed a ten-fold higher responsivity to the rapid-on and rapid-off sawtooth respectively. Red-on (+L-M) and green-on (+M-L) parvocellular (PC-) pathway cells showed a four-fold greater responsivity to rapid red-on and rapid green-on equiluminant chromatic sawtooth waveforms respectively. At an equivalent retinal eccentricity, we measured psychophysical thresholds for luminance stimuli and chromatic stimuli. We concluded that luminance sawtooth sensitivities from psychophysics are consistent with selective detection through MC-pathway on- and off-center channels in the visual system. The differences between the compound periodic waveforms seen in the PC-pathway cell data did not occur in the psychophysics. In a second analysis, cell responses to sinusoidal modulation were used to predict the linear response to square-wave and sawtooth waveforms. PC-pathway cells showed linear temporal behavior over a wide range of contrasts, but MC-pathway cells displayed linear behavior only for low-contrast luminance modulation. Using these linear fits, we implemented a model incorporating central low-pass filtering in the MC- and PC-pathways before the peak-to-trough detector. This model captured better the time scale and relative sensitivity to periodic waveforms found in the psychophysical data.