Music Theory and Mathematics : Chords, Collections, and Transformations /: Chords, Collections, and Transformations. (2008)

• Record Type: Book
• Further Information: Note: Jack Douthett, Nora Engebretsen, Richard Cohn, Stephen Soderberg, Timothy Johnson, Martha Hyde, Charles J. Smith, David Clampitt, David Lewin, Jack Douthett, John Clough, Jonathan Kochavi, Julian Hook.
• Editors: Douthett, Jack; Hyde, Martha; Smith, Charles J
• Other Names: Engebretsen, Nora contributor.; Cohn, Richard contributor.; Soderberg, Stephen contributor.; Johnson, Timothy contributor.; Clampitt, David contributor.; Lewin, David contributor.; Douthett, Jack contributor.; Clough, John contributor.; Kochavi, Jonathan contributor.; Hook, Julian contributor.
• Contents: 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
• Edition: 1st
• Publisher Details: Rochester : University of Rochester Press
• Publication Date: 2008
• Extent: 1 online resource (278 pages)
• Subjects: MATHEMATICS / Applied; Romantic music (c 1830 to c 1900); Mathematics
• Languages: English
• ISBNs: 9781580467476; 1580467474
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.