Contemporary music is often thought of in terms of musical objects where tonic notes, appropriately clustered, give a mass corresponding to height and tessitura criteria. A mathematical characterization of a musical phrase permits various visualization techniques of the figure. In accord with philosophical concepts, the pattern is perfectly represented by an envelope which is a tangent surface at a set of notes in a polyphonic score. Two image models are discussed in this paper. The first is based on the B-spline surfaces smoothing a discrete musical event set in the space: height-durationtimbre. The second performs the Discrete Fourier Transform signature of the digital musical signal.
- Michel Naranjo, France, Clermont-Ferrand University