Music Theory and Mathematics (eBook, PDF)

Chords, Collections, and Transformations
Redaktion: Douthett, Jack; Smith, Charles J.; Hyde, Martha

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, D ausgeliefert werden.

Produktdetails

• Verlag: Abingdon Press
• Seitenzahl: 278
• Erscheinungstermin: 1. Februar 2008
• Englisch
• ISBN-13: 9781580467476
• Artikelnr.: 63918609

Inhaltsangabe

Introduction by Normal Carey, Jack Douthett, and Martha M. Hyde Preface by Charles J. Smith "Cardinality Equals Variety for Chords" in Well
Formed Scales, with a Note on the Twin Primes Conjecture
David Clampitt Flip
Flop Circles and Their Groups
John Clough Pitch
Time Analogies and Transformations in Bartók's Sonata for Two Pianos and Percussion
Richard Cohn Filtered Point
Symmetry and Dynamical Voice
Leading
Jack Douthett The "Over
Determined" Triad as a Source of Discord: Nascent Groups and the Emergent Chromatic Tonality in Nineteenth
Century German Harmonic Theory Nineteenth
Century German Harmonic Theory
Nora Engebretsen Signature Transformations
Julian Hook Some Pedagogical Implications of Diatonic and Neo
Riemannian Theory
Timothy Johnson A Parsimony Metric for Diatonic Sequences
Jonathan Kochavi Transformational Considerations in Schoenberg's Opus 23, Number 3
David Lewin Transformational Etudes: Basic Principles and Applications of Interval String Theory
Stephen Soderberg