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Music Theory and Mathematics
Chords, Collections, and Transformations
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Mit Beiträgen von:
Sprache:
Englisch
Veröffentlicht/Copyright:
2008
Über dieses Buch
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 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.
Fachgebiete
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Frontmatter
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Contents
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Preface
vii -
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Introduction
1 -
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Chapter One “Cardinality Equals Variety for Chords” in Well-Formed Scales, with a Note on the Twin Primes Conjecture
9 -
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Chapter Two. Flip-Flop Circles and Their Groups
23 -
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Chapter Three. Pitch-Time Analogies and Transformations in Bartók’s Sonata for Two Pianos and Percussion
49 -
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Chapter Four. Filtered Point-Symmetry and Dynamical Voice-Leading
72 -
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Chapter Five The “Over-Determined” Triad as a Source of Discord: Nascent Groups and the Emergent Chromatic Tonality in Nineteenth-Century German Harmonic Theory
107 -
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Chapter Six. Signature Transformations
137 -
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Chapter Seven. Some Pedagogical Implications of Diatonic and Neo-Riemannian Theory
161 -
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Chapter Eight. A Parsimony Metric for Diatonic Sequences
174 -
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Chapter Nine. Transformational Considerations in Schoenberg’s Opus 23, Number 3
197 -
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Chapter Ten. Transformational Etudes: Basic Principles and Applications of Interval String Theory
222 -
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Works Cited
245 -
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Contributors
253 -
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Index
257
Informationen zur Veröffentlichung
Seiten und Bilder/Illustrationen im Buch
eBook veröffentlicht am:
19. Juni 2024
eBook ISBN:
9781580467476
Ursprünglicher Verlag:
University of Rochester Press
Seiten und Bilder/Illustrationen im Buch
eBook ISBN:
9781580467476
Schlagwörter für dieses Buch
Music
Zielgruppe(n) für dieses Buch
For an expert adult audience, including professional development and academic research
