Aesthetic appreciation is looked at with respect to domain generality and domain specificity. Within the classic cognitive paradigm, modality- and domain-specific receptive processes are explored. These are then complemented with central processing structures. These reveal domain-specific as well as domain-general processing. Extending the classic cognitive science approach, the role of emotion in aesthetic appreciation is also explored. While domain-specific models of aesthetic appreciation are clearly called for, there are also numerous domain-general subprocesses and structures.