Music Theory and Mathematics: Chords, Collections, and Transformations

doi:10.1017/9781580467476

Music Theory and Mathematics

Chords, Collections, and Transformations

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Cited by 11
Cited by
- 11
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Douthett, Jack and Krantz, Richard 2007. Maximally even sets and configurations: common threads in mathematics, physics, and music. Journal of Combinatorial Optimization, Vol. 14, Issue. 4, p. 385.

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Clampitt, David 2007. The legacy of John Clough in mathematical music theory. Journal of Mathematics and Music, Vol. 1, Issue. 2, p. 73.

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Cannon, Steven 2009. Mathematics and Computation in Music. Vol. 38, Issue. , p. 43.

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Straus, Joseph N. 2011. Contextual-Inversion Spaces. Journal of Music Theory, Vol. 55, Issue. 1, p. 43.

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Plotkin, Richard 2011. Mathematics and Computation in Music. Vol. 6726, Issue. , p. 207.

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Popoff, Alexandre 2013. Building generalized neo-Riemannian groups of musical transformations as extensions. Journal of Mathematics and Music, Vol. 7, Issue. 1, p. 55.

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Noll, Thomas 2015. Mathematics and Computation in Music. Vol. 9110, Issue. , p. 373.

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Harasim, Daniel Schmidt, Stefan E. and Rohrmeier, Martin 2016. Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Journal of Mathematics and Music, Vol. 10, Issue. 3, p. 193.

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Douthett, Jack Steinbach, Peter Peck, Robert and Krantz, Richard 2022. Partitions, their classes, and multicolour evenness. Journal of Mathematics and Music, Vol. 16, Issue. 3, p. 303.

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Jedrzejewski, Franck 2022. Mathematics and Computation in Music. Vol. 13267, Issue. , p. 14.

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Azaryahu, Libby Ariel, Ido and Leikin, Roza 2024. Interplay between music and mathematics in the eyes of the beholder: focusing on differing types of expertise. Humanities and Social Sciences Communications, Vol. 11, Issue. 1,

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Edited by Jack Douthett, Martha Hyde, Charles J. Smith

Publisher:: Boydell & Brewer
Online publication date:: March 2023
Print publication year:: 2008
Online ISBN:: 9781580467476
DOI:: https://doi.org/10.1017/9781580467476

Series:: Eastman Studies in Music
Subjects:: Music, Music Criticism

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

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Music Theory and Mathematics

Chords, Collections, and Transformations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-x

Introduction
pp 1-8

1 - “Cardinality Equals Variety for Chords” in Well-Formed Scales, with a Note on the Twin Primes Conjecture
pp 9-22

2 - Flip-Flop Circles and Their Groups
pp 23-48

3 - Pitch-Time Analogies and Transformations in Bartók's Sonata for Two Pianos and Percussion
pp 49-71

4 - Filtered Point-Symmetry and Dynamical Voice-Leading
pp 72-106

5 - The “Over-Determined” Triad as a Source of Discord: Nascent Groups and the Emergent Chromatic Tonality in Nineteenth-Century German Harmonic Theory
pp 107-136

6 - Signature Transformations
pp 137-160

7 - Some Pedagogical Implications of Diatonic and Neo-Riemannian Theory
pp 161-173

8 - A Parsimony Metric for Diatonic Sequences
pp 174-196

9 - Transformational Considerations in Schoenberg’s Opus 23, Number 3
pp 197-221

10 - Transformational Etudes:Basic Principles and Applications of Interval String Theory
pp 222-244

Works Cited
pp 245-252

List of Contributors
pp 253-256

Index
pp 257-266

Miscellaneous Frontmatter
pp 267-268

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Music Theory and Mathematics

Chords, Collections, and Transformations

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