The ear can discriminate between two transient signals that have identical energy spectra but different phase spectra (hence different waveshapes) as long as the total duration of the signals exceeds about 2 msec. A natural question, but one impossible to answer on the basis of previous work, which used transient signals having a broad energy spectrum, is whether this value for temporal acuity is dependent on the frequency content of the signal. Two types of experiments were conducted to answer this question. In one experiment, the energy spectrum was broad but the temporal cues were restricted to specific regions of the frequency spectra. In the second experiment, two segments of a sinusoid (one 10 dB more intense than the other) was played in one order on the reverse. Both experiments confirm the finding that the value of temporal acuity is about 2 msec and that this value is largely independent of frequency. Also of interest is the fact that for the sinusoidal signals the percentage of correct discriminations of temporal order is a nonmonotonic function of the total duration of the two segments.