Mathematics and Music

Edited by Gerard Assayag, Hans Georg Feichtinger and Jose Francisco Rodrigues

in Springer Books from Springer

Date: 2002
ISBN: 978-3-662-04927-3
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Chapters in this book:

Ch 1 Proportions in Ancient and Medieval Music

Manuel Pedro Ferreira

Ch 2 The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler

Eberhard Knobloch

Ch 3 The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale

Benedetto Scimemi

Ch 4 Lagrange, “Working Mathematician” on Music Considered as a Source for Science

Jean Dhombres

Ch 5 Musical Patterns

Wilfrid Hodges and Robin J. Wilson

Ch 6 Questions of Logic: Writing, Dialectics and Musical Strategies

F. Nicolas

Ch 7 The Formalization of Logic and the Issue of Meaning

Marie-José Durand-Richard

Ch 8 Musical Analysis Using Mathematical Proceedings in the XXth Century

Laurent Fichet

Ch 9 Universal Prediction Applied to Stylistic Music Generation

Shlomo Dubnov and Gérard Assayag

Ch 10 Ethnomusicology, Ethnomathematics. The Logic Underlying Orally Transmitted Artistic Practices

Marc Chemillier

Ch 11 Expressing Coherence of Musical Perception in Formal Logic

Marc Leman

Ch 12 The Topos Geometry of Musical Logic

Guerino Mazzola

Ch 13 Computing Musical Sound

Jean-Claude Risset

Ch 14 The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments

Erich Neuwirth

Ch 15 The Musical Communication Chain and its Modeling

Xavier Serra

Ch 16 Computational Models for Musical Sound Sources

Giovanni De Poli and Davide Rocchesso

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DOI: 10.1007/978-3-662-04927-3

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