JOHN RAHN

The Swerve and the Flow : Music's Relationship to Mathematics

Abstract

An historical dialog between philosophies of Being and those of Becoming also plays out in the history of music theory. This paper argues that artistic endeavor is bound up with Becoming and the Lucretian Swerve. Music theory has most often been essentialist, focusing on the frame and not the swerve. This is justifiable in compositional theory, but any analytical theory that sings alongside music needs to embody the flow and the swerve of artistic thought and experience. Schenker is paradigmatic in this respect, in spite of (and because of ) his neo-Plotinic mysticism.

Other analytical theories attempt to model musical experience by playing with the syntax/structure model in ways that are often less subtle. American serial theory deriving from Milton Babbitt has been primarily compositional, rather than analytical. Allen Forte has elaborated an atonal analytical theory. David Lewin has formally articulated an important new analytical theory, both using and reacting against phenomenology in favor of a theory of acts and agents, and formally defining networks of transformational acts. The category theory implicit in Lewin's networks has recently been foregrounded by Guerino Mazzola.

Biography of John Rahn