The detectability of three‐component complexes was measured as a function of the number of interaurally phase‐reversed components, which components were phase‐reversed, and the frequency spacing between the components. The center frequency of the complex was always 750 Hz, and the frequency spacing (Δf) was 20, 50, 100, or 250 Hz. The duration of the signal was 100 ms. All signals were presented against a continuous lowpass noise (2.5‐kHz cutoff frequency) whose noise‐power per unit bandwidth was 41.5 dB. In general, the detectability of a complex improved as the number of antiphasic components increased from one to three. Thresholds measured when all three components were presented but only one was antiphasic were greater than those obtained for single antiphasic tones, even when Δfs were large relative to critical bandwidths. The deleterious effect of homophasic components on detection is consistent with the notion that the binaural system integrates interaural information across ranges of frequency that are considerably wider than the critical bandwidth.