One of the best-known dichotomies in neuroscience is the division of neurons in the mammalian primary visual cortex into simple and complex cells. Simple cells have receptive fields with separate on and off subregions and give phase-sensitive responses to moving gratings, whereas complex cells have uniform receptive fields and are phase invariant. The phase sensitivity of a cell is calculated as the ratio of the first Fourier coefficient ( F 1 ) to the mean time-average ( F 0 ) of the response to moving sinusoidal gratings at 100% contrast. Cells are then classified as simple ( F 1 / F 0 >1) or complex ( F 1 / F 0 <1). We manipulated cell responses by changing the stimulus contrast or through adaptation. The F 1 / F 0 ratios of cells defined as complex at 100% contrast increased at low contrasts and following adaptation. Conversely, the F 1 / F 0 ratios remained constant for cells defined as simple at 100% contrast. The latter cell type was primarily located in thalamorecipient layers 4 and 6. Many cells initially classified as complex exhibit F 1 / F 0 >1 at low contrasts and after adaptation (particularly in layer 4). The results are consistent with the spike-threshold hypothesis, which suggests that the division of cells into two types arises from the nonlinear interaction of spike threshold with membrane potential responses.