Adaptation is a very robust feature of sensory processing: when a stimulus is displayed for a prolonged period, or repeatedly, the neural response to it will diminish. This process creates a local change in cortical sensitivity, which is behaviorally evident through worse sensory discrimination of subsequent stimuli which are similar to the adaptor stimulus, but better discrimination of dissimilar ones.
In the visual domain, there is also the concept of an afterimage. If one looks at a green patch for a long time, then a white wall will appear red. If one looks at a curved line for a long time, a straight line will appear to curve the other way. The landscape next to a waterfall will look like its traveling upwards, etc.
Does anything similar exist in the auditory domain? Can adaptation lead to illusory percepts in audition? And if not, why do you think this would be?
I'm particularly interested in the neural level of explanation, and would be very happy to hear all speculations, however far out they are.