Tonal Pitch Space

Building on the foundation of Lerdahl and Jackendoff''s influential A Generative Theory of Tonal Music this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners'' intuitions of the relative distances of pitches chords and keys from a given tonic. The model is employed to assign prolongational structure represent paths through the space and compute patterns of tension and attraction as musical events unfold thereby providing a partial basis for understanding musical narration expectation and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music this book will be of interest to music theorists musicologists composers computer musicians and cognitive psychologists.