This paper explores how the virtuous aesthetic cosmopolitan—one actively engaged in cultivating an authoritative appreciation for culturally unfamiliar works or traditions of art, in a manner informed by moral cosmopolitan principles—engages with the ‘exotic’ artwork in a manner that is both morally responsible and aesthetically discerning. After providing an overview of philosophical cosmopolitanism and the aesthetic cosmopolitan’s project, I consider in depth a particular example: the music of Mauritanian singer Noura Mint Seymali as encountered by an unaccustomed listener. I explore (...) potential problematic responses to the work, including both chauvinistic and exoticizing responses. I then consider possible strategies for alternative responses, informed by the aesthetic and hermeneutic theories of Hume, Gadamer, and Charles Taylor. Having revealed deficiencies with these alternatives, I go on to argue that the cosmopolitan’s best strategy is a mode of appreciation that is ‘conversational’ in nature, an open-ended approach modeled on an exchange between the appreciator and an other-cultural interlocutor. In proposing such a model, I draw on the work of Kwame Appiah and Maria Lugones, as well as Anthony Laden’s recent work on conversational norms. (shrink)