Wittgenstein's remarks about music have motivated philosophers to build a comprehensive picture of his philosophy of music, concentrating on the central issues of musical meaning. It is often claimed that, according to Wittgenstein, understanding music consist in grasping the internal relationships between musical events. Musical practice, however, is naturally saturated with what philosophers often call extra-musical meanings. The present study, by considering a musical issue in Haydn's instrumental music, attempts to show that musical language games in the Wittgensteinian sense involve explanations of music that enhance the listener's ability to understand music by broadening his musical competence. Nevertheless, constituting understanding of music, these explanations might use professional musical terms as well as non-musical terms, comparisons, gestures and so on. Thus, though music does not goes beyond itself in the sense of being understood through correlations between purely musical "concepts" and extra-musical contents, it does go beyond itself in musical practice, which involves understanding music through explanations and descriptions of music using various kinds of terms and images.