Recent psychophysical studies have shown that the detection of an intensity increment superimposed on the center component (1 kHz) of a multitone complex (1,3,7, or 11 components) improves as more components are added outside of the critical band. It has been suggested that this form of intensity discrimination is based on a change in the neural profile. To test this hypothesis, neural profiles were constructed by plotting the degree of phase locking to the 1‐kHz tone as a function of each unit’s characteristic frequency (CF). Neural phase‐locking profile to the 1‐component signal at 1 kHz had a broad peak; however, the neural profile became narrower as the number of components in the signal increased. The just detectable increment for the 1‐component condition was −5 dBre: 1000‐Hz component level (3.86‐dB increment plus component levelre: component level), whereas, for the 3‐, 7‐, and 11‐component conditions, it was −15 dBre: component level (1.42 dB). The neural and psychophysical IDL for the chinchilla were similar for the 1‐component condition. However, the overall trends in the psychophysical and neural data are different. In the psychophysical studies IDL is typically poorest in the 3‐component condition and improves when more components are added. By contrast, the neural IDL was poorest in the 1‐component condition and improved when more components were added. In the multicomponent conditions, units with CFs in 492–1380 Hz were found to be most sensitive in detecting the intensity increment to the 1000‐Hz component.