Mathematics and Music

1 Proportions in Ancient and Medieval Music.- 2 The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler.- 3 The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale.- 4 Lagrange, “Working Mathematician” on Music Considered as a Source for Science.- 5 Musical Patterns.- 6 Questions of Logic: Writing, Dialectics and Musical Strategies.- 7 The Formalization of Logic and the Issue of Meaning.- 8 Musical Analysis Using Mathematical Proceedings in the XXth Century.- 9 Universal Prediction Applied to Stylistic Music Generation.- 10 Ethnomusicology, Ethnomathematics. The Logic Underlying Orally Transmitted Artistic Practices.- 11 Expressing Coherence of Musical Perception in Formal Logic.- 12 The Topos Geometry of Musical Logic.- 13 Computing Musical Sound.- 14 The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments.- 15 The Musical Communication Chain and its Modeling.- 16 Computational Models for Musical Sound Sources.