Mathematics and music : a Diderot Mathematical Forum / Gerard Assayag, Hans Georg Feichtinger, Jose Francisco Rodrigues (editors).

"Under the auspices of the European Mathematical Society the Fourth Diderot Mathematical Forum took place simultaneously in Lisbon, Paris, and Vienna, in 3-4 December 1999"--P. [V].

Includes bibliographical references.

Proportions in ancient and medieval music / M.P. Ferreira -- Sounding algebra: relations between combinatorics and music from Mersenne to Euler / E. Knobloch -- Use of mechanical devices and numerical algorithms in the 18th century for the equal temperament of the musical scale / B. Scimemi -- Lagrange, "working mathematician" on music considered as a source for science / J. Dhombres -- Musical patterns / W. Hodges, R.J. Wilson -- Questions of logic: writing, dialectics and musical strategies / F. Nicolas -- Formalization of logic and the issue of meaning / M.-J. Durand-Richard -- Musical analysis using mathematical proceedings in the XXth century / L. Fichet -- Universal prediction applied to stylistic music generation / S. Dubnov, G. Assayag -- Ethnomusicology, ethnomathematics. The logic underlying orally transmitted artistic practices / M. Chemillier -- Expressing coherence of musical perception in formal logic / M. Leman -- Topos geometry of musical logic / G. Mazzola -- Computing musical sound / J.-C. Risset -- Mathematics of tuning musical instruments - a simple toolkit for experiments / E. Neuwirth -- Musical communication chain and its modeling / X. Serra -- Computational models for musical sound sources / G. De Poli, D. Rocchesso.