Chapter 1 Proportions in Ancient and Medieval Music

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

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

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

Chapter 5 Musical Patterns

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

Chapter 7 The Formalization of Logic and the Issue of Meaning

Chapter 8 Musical Analysis Using Mathematical Proceedings in the XXth Century

Chapter 9 Universal Prediction Applied to Stylistic Music Generation

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

Chapter 11 Expressing Coherence of Musical Perception in Formal Logic

Chapter 12 The Topos Geometry of Musical Logic

Chapter 13 Computing Musical Sound

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

Chapter 16 Computational Models for Musical Sound Sources