Initial analysis of interaural temporal disparities (ITDs), a cue for sound localization, occurs in the superior olivary complex. The medial superior olive (MSO) receives excitatory input from the left and right cochlear nuclei. Its neurons are believed to be coincidence detectors, discharging when input arrives simultaneously from the two sides. Many current psychophysical models assume a strict version of coincidence, in which neurons of the MSO cross correlate their left and right inputs. However, there have been few tests of this assumption. Here we examine data derived from two earlier studies of the MSO and compare the responses to the output of a computational model. We find that the MSO is not an ideal cross correlator. Ideal cross correlation implies a strict relationship between the precision of phase-locking of the inputs and the range of ITDs to which a neuron responds. This relationship does not appear to be met. Instead, the modeling implies that a neuron responds over a wider range of ITDs than expected from the inferred precision of phase-locking of the inputs. The responses are more consistent with a scheme in which the neuron can also be activated by the input from one side alone. Such activation degrades the tuning of neurons in the MSO to ITDs.