Certain aspects of European art music occupy a middle ground between the two cultures described by C. P. Snow almost fifty years ago. Analogies exist not only between mathematics and the ratios underlying musical notation and intervals (i.e., the distance between pitches) but also between computer science and counterpoint (simultaneous melodies): in both cases there is a precise syntax of individual parts within the whole. Music's relationship to the humanities and social sciences is also of considerable interest to bridging Snow's two cultures; trends in music, especially opera, have sometimes seemed to herald events in the social, political, and economic realms. These and other correspondences suggest that rigorous classroom instruction in music, with an emphasis on its links to other disciplines, should be required throughout the school years and on into the undergraduate core. Such a policy, if implemented, might well help future generations to bridge the divide between Snow's two cultures.