Music Theory and Mathematics: Chords, Collections, and Transformations

Book

Music Theory and Mathematics

Chords, Collections, and Transformations

Edited by: Jack Douthett , Martha Hyde and Charles J. Smith
With contributions by: David Clampitt , David Lewin , Jack Douthett , John Clough , Jonathan Kochavi , Julian Hook , Nora Engebretsen , Richard Cohn , Stephen Soderberg and Timothy Johnson

Language: English

Published/Copyright: 2008

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This book is in the series

Volume 50 | Eastman Studies in Music

About this book

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

Topics

Cultural Studies Genres and Media in Cultural Studies Music

Frontmatter Publicly Available Download PDF	i
Contents Publicly Available Download PDF	v
Preface Publicly Available Download PDF	vii
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter One “Cardinality Equals Variety for Chords” in Well-Formed Scales, with a Note on the Twin Primes Conjecture David Clampitt Requires Authentication Unlicensed Licensed Download PDF	9
Chapter Two. Flip-Flop Circles and Their Groups John Clough Requires Authentication Unlicensed Licensed Download PDF	23
Chapter Three. Pitch-Time Analogies and Transformations in Bartók’s Sonata for Two Pianos and Percussion Richard Cohn Requires Authentication Unlicensed Licensed Download PDF	49
Chapter Four. Filtered Point-Symmetry and Dynamical Voice-Leading Jack Douthett Requires Authentication Unlicensed Licensed Download PDF	72
Chapter Five The “Over-Determined” Triad as a Source of Discord: Nascent Groups and the Emergent Chromatic Tonality in Nineteenth-Century German Harmonic Theory Nora Engebretsen Requires Authentication Unlicensed Licensed Download PDF	107
Chapter Six. Signature Transformations Julian Hook Requires Authentication Unlicensed Licensed Download PDF	137
Chapter Seven. Some Pedagogical Implications of Diatonic and Neo-Riemannian Theory Timothy A. Johnson Requires Authentication Unlicensed Licensed Download PDF	161
Chapter Eight. A Parsimony Metric for Diatonic Sequences Jonathan Kochavi Requires Authentication Unlicensed Licensed Download PDF	174
Chapter Nine. Transformational Considerations in Schoenberg’s Opus 23, Number 3 David Lewin Requires Authentication Unlicensed Licensed Download PDF	197
Chapter Ten. Transformational Etudes: Basic Principles and Applications of Interval String Theory Stephen Soderberg Requires Authentication Unlicensed Licensed Download PDF	222
Works Cited Requires Authentication Unlicensed Licensed Download PDF	245
Contributors Requires Authentication Unlicensed Licensed Download PDF	253
Index Requires Authentication Unlicensed Licensed Download PDF	257

Publishing information

Pages and Images/Illustrations in book

eBook published on:

February 1, 2008

eBook ISBN:

9781580467476

Original publisher:

University of Rochester Press

Pages and Images/Illustrations in book

Main content:

278

Other:

114 line illus.

https://doi.org/10.1515/9781580467476

eBook ISBN: 9781580467476

Keywords for this book

Music Theory; Mathematics; diatonic set theory; transformation theory; neo-Riemannian theory; John Clough; David Lewin; Richard Cohn; scholars; music theory; Clough; Lewin; mysticism; tonal theory; palaeographers; Italian scribe

Audience(s) for this book

Professional and scholarly;

Music Theory and Mathematics

Overview

About this book

Topics

Table of contents

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