Much has been written on the relationship between Arthur Schopenhauer and Friedrich Nietzsche. Much remains to be said, however, concerning their respective theories of the sublime. In this article, the author first argues against the traditional, dialectical view of Schopenhauer's theory of the sublime that stresses the crucial role the sublime plays in bridging the wide gap between aesthetics and ethics. Although this traditional interpretation is definitely influenced by Nietzsche, the author does not maintain it is exclusively Nietzschean as such. Second, he offers some points of contention concerning their accounts of the feeling of the sublime. He contends that, although Nietzsche's account of the Apollonian and the Dionysian is highly influenced by Schopenhauer's analysis of the sublime feeling, his analysis of Dionysian intoxication cannot be taken to simply develop out of Schopenhauer's philosophy. Moreover, by way of example, it is shown that Nietzsche's philosophy of music--although highly influenced by Schopenhauer's--cannot as easily be reconciled with Schopenhauer's theory as is commonly believed, due to their differing accounts of the nature of the feeling of the sublime. (Contains 40 notes.)