Mathematics and music : a Diderot Mathematical Forum /

"In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found...

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Bibliographic Details
Corporate Authors: Diderot Mathematical Forum, SpringerLink (Online service), European Mathematical Society (sponsoring body.)
Other Authors: Assayag, Gérard (Editor), Feichtinger, Hans G., 1951- (Editor), Rodrigues, José-Francisco (Editor)
Format: Conference Proceeding eBook
Language:English
Published: Berlin : Springer-Verlag, [2002]
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.