This paper continues the presentation of data describing detection performance in the monaural detection with contralateral cue (MDCC) situation. Subjects detected a monaural sinusoid burst masked by continuous white noise, either with or without an unmasked contralateral cue. The cue, presented in both intervals of each two‐interval forced‐choice trial, was a sinusoid of the same frequency and duration as the signal, but its phase and intensity were experimentally varied. In three preliminary experiments it was shown that: (1) when the cue nominally matched the signal in phase and intensity, it improved detection for frequencies below about 1200 Hz and was detrimental at frequencies above about 1400 Hz; (2) at 500 Hz, cue phase strongly affected detection performance, some phases resulting in performance much worse than without the cue; (3) at 500 Hz, the effect of cue intensity was small for the cue phase giving best performance (good phase), but increasing the cue intensity was detrimental to performance with a bad phase. With very loud cues, regardless of phase, performance declined with increasing cue intensity. The main experiment was a factorial study to examine the interactions of frequency, cue phase, and cue intensity. Phase was again found to be important at frequencies below about 1200 Hz, and to be more important the louder the cue. Worst performance at midfrequencies was found for the phase representing a cue lead of about 700 μsec. The phase and the related interaural time difference giving best performance were functions of both cue intensity and of cue frequency. No theoretical interpretation is attempted.