Title | Mathematics and Music [electronic resource] : A Diderot Mathematical Forum / edited by Gerard Assayag, Hans Georg Feichtinger, Jose Francisco Rodrigues |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-662-04927-3 |
Descript | XVIII, 288 p. online resource |
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, โWorking Mathematicianโ 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 โ a Simple Toolkit for Experiments -- 15 The Musical Communication Chain and its Modeling -- 16 Computational Models for Musical Sound Sources