Music Theory and Mathematics

Music Theory and Mathematics PDF

Author: Jack Moser Douthett

Publisher: University Rochester Press

Published: 2008

Total Pages: 282

ISBN-13: 9781580462662

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Essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays in Music Theory and Mathematics: Chords, Collections, and Transformations 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. The essays constitute a close-knit body of work -- a family in the sense of tracing their descentfrom 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. 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 PublicationAward, 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. Contributors: David Clampitt, John Clough, Richard Cohn, Jack Douthett, Nora Engebretsen, Julian Hook, Martha Hyde, Timothy Johnson, Jon Kochavi, David Lewin, Charles J. Smith, and Stephen Soderberg.

The Work of Music Theory

The Work of Music Theory PDF

Author: Thomas Christensen

Publisher: Routledge

Published: 2017-10-23

Total Pages: 404

ISBN-13: 135153940X

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This collection brings together an anthology of articles by Thomas Christensen, one of the leading historians of music theory active today. Published over the span of the past 25 years, the selected articles provide a historical conspectus about a range of vital topics in the history of music theory, focusing in particular upon writings from the seventeenth and eighteenth centuries. Christensen examines a variety of theorists and their arguments within the intellectual and musical contexts of their time, in the process highlighting the diverse and idiosyncratic nature of the discipline of music theory itself. In the first section of the book Christensen offers general reflections on the meaning and interpretation of historical music theories, with especial attention paid to their value for music theorists today. The second section of the book contains a number of articles that consider the catalytic role of the thorough bass in the development of harmonic theory during the seventeenth and eighteenth centuries. In the final two sections of the anthology, focus turns to the writings of several individual music theorists, including Marin Mersenne, Seth Calvisius, Johann Mattheson, Johann Nicolaus Bach, Denis Diderot and Johann Nichelmann. The volume includes essays from hard-to-find publications as well as newly-translated material and the articles are prefaced by a new, wide-ranging autobiographical essay by the author that offers a broad re-assessment of his historical project. This book is essential reading for music theorists and seventeenth- and eighteenth-century musicologists.

The Oxford Handbook of Critical Concepts in Music Theory

The Oxford Handbook of Critical Concepts in Music Theory PDF

Author: Alexander Rehding

Publisher: Oxford University Press, USA

Published: 2019

Total Pages: 849

ISBN-13: 0190454741

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Music Theory operates with a number of fundamental terms that are rarely explored in detail. This book offers in-depth reflections on key concepts from a range of philosophical and critical approaches that reflect the diversity of the contemporary music theory landscape.