Music Theory and Mathematics

The essays in <I>Music Theory and Mathematics: Chords Collections and Transformations</I> define the state of mathematically oriented music theory at the beginning of the twenty-first century. The volume includes essays in diatonic set theory transformation theory and neo-Riemannian theory -- the newest and most exciting fields in music theory today.<BR>The essays constitute a close-knit body of work -- a family in the sense of tracing their descent from a few key breakthroughs by John Clough David Lewin and Richard Cohn in the 1980s and 1990s. They are integrated by the ongoing dialogue they conduct with one another.<BR><BR>The editors are Jack Douthett a mathematician and music theorist who collaborated extensively with Clough; Martha M. Hyde a distinguished scholar of twentieth-century music; and Charles J. Smith a specialist in tonal theory. The contributors are all prominent scholars teaching at institutions such as Harvard Yale Indiana University and the University at Buffalo. Six of them (Clampitt Clough Cohn Douthett Hook and Smith) have received the Society for Music Theory's prestigious Publication Award and one (Hyde) has received the ASCAP Deems Taylor Award. The collection includes the last paper written by Clough before his death as well as the last paper written by David Lewin an important music theorist also recently deceased.<BR><BR>