By applying a propagation model which combines Rayleigh fast fading with typical, prescribed delay power profiles, we analyze intersymbol interference error performance of a single-bit differential detector. We assume a quadrature modulation with +/-pi/2 phase rotation within one symbol period, which is the case for MSK. We derive an analytic expression for the error probability as a function of the ratio of the average energies of the relevant symbol and the preceding interfering symbols. This interference is caused by the channel time dispersion. The error probability lies between an upper and a lower bound with a margin that never exceeds 3 dB. The upper bound error probability turns out to be almost identical to the cochannel interference as calculated by Hirade's model. Using typical delay power profiles of European propagation environments, we calculate error probability versus symbol duration. For bad-urban and hilly-terrain cases, in which error bursts may last for a few milliseconds, several tens to several hundreds of successive symbols will be corrupted, unless proper signal recovery measures are taken.