Douthett / Hyde / Smith Music Theory and Mathematics

Chords, Collections, and Transformations
1. Auflage 2008
ISBN: 978-1-58046-747-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 50, 278 Seiten

Reihe: Eastman Studies in Music

Essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today.

Autoren/Hrsg.

Douthett, Jack

Hyde, Martha

Smith, Charles J.

Weitere Mitwirkende

Clampitt, David

Lewin, David

Douthett, Jack

Clough, John

Kochavi, Jonathan

Hook, Julian

Engebretsen, Nora

Cohn, Richard

Soderberg, Stephen

Johnson, Timothy

Fachgebiete

• Geisteswissenschaften Musikwissenschaft Geschichte der Musik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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