Detection thresholds were obtained for 2000-Hz tones masked by 100-Hz-wide bands of noise centered at 2000 Hz. On each interval of the two-interval, forced choice (21FC) task, the level of the noise or signal-plus-noise waveform was varied over a range of 0 (no variation), 30, or 60 dB. As has been reported previously [Gilkey, in Auditory Processing of Complex Sounds, edited by W. A. Yost and C. S. Watson (Erlbaum, Hillsdale, NJ, 1987); Kidd et al., J. Acoust. Soc. Am. 86, 1310–1317 (1989)], level variation had a negligible effect. Next, thresholds were determined using equal-energy, but uncorrelated, bands of noise. Performance levels in the equal-energy condition were indistinguishable from those obtained using independent noise samples. Thus neither increasing nor decreasing the across-interval variance in stimulus energy altered the detectability of the tone. In a second experiment, equal-energy maskers had bandwidths that varied from 20 to 320 Hz. For this condition, an energy-based ideal detector yields no effect of bandwidth. For bandwidths ranging from 20–80 Hz, human performance was nearly constant. However, thresholds were relatively elevated when the 160- and 320-Hz bandwidths were employed. [Work supported by the National Institutes of Health.]