Music theory and mathematics : chords, collections, and transformations / edited by Jack Douthett, Martha M. Hyde, and Charles J. Smith.

Format:

Book

Contributor:

Douthett, Jack M. (Jack Moser)

Hyde, Martha M.

Smith, Charles J., 1950-

Clough, John (John L.)

Series:

Eastman studies in music 1071-9989

Eastman studies in music, 1071-9989

Language:

English

Subjects (All):

Music theory--Mathematics.

Music theory.

Genre:

Festschriften.

Physical Description:

ix, 262 pages : illustrations, music ; 24 cm.

Place of Publication:

Rochester, NY : University of Rochester Press, 2008.

Summary:

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

Contents:

"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 / Nora Engebretsen

Signature transformations / Julian Hook

Some pedagogical implications of diatonic and neo-riemannian theory / Timothy A. 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.

Notes:

Memorial volume for John Clough.

Includes bibliographical references (pages [245]-252) and index.

ISBN:

9781580462662

1580462669

OCLC:

144225465