Abstract
This paper proposes some practices in the field of art music composition. For the type of insights and the approach taken, the theory and practice proposed can only be computational. An introduction to the techniques necessary for the Computer- Aided Algorithm Composition (CAAC) can be found in [5], [1], [10] and [13], with particular reference to Formalized Music by Iannis Xenakis [16].
Founder and Director of Sin[x] Thésis, Group of Multimedia Research and Production (Italy).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Musica est exercitium arithmeticae occultum nescientis se numerare animi.
References
G. Assayag, H. G. Feichtinger, J.F. Rodrigues, Mathematics and Music. Springer, Berlin, 2002.
R. Bod, A Unified Model of Structural Organization in Language and Music. Journal of Artificial Intelligence Research 17: 289–308, 2002.
E. Campbell, Boulez, Music and Philosophy. New York, Cambridge University Press, 2010.
N. Chomsky, Aspects of the Theory of Syntax. Cambridge, MIT Press, 1965.
C. Dodge, T. A. Jerse, Computer Music. New York, Schirmer 1985.
D. Huron, Sweet Anticipation. Cambridge, MIT Press 2006.
V. Jankélévitch, La Musique et l’Ineffable. Paris, Seuil, 1961.
F. Lerdahl, R. Jackendoff, A Generative Theory of Tonal Music. Cambridge, MIT Press, 1983.
G. Ligeti, Wandlungen der musikalischen Form. Die Reihe 7: 5–17, 1960.
G. Mazzola, The Topos of Music. Basel, Birkhäuser, 2002.
D. Marr, Vision. San Francisco: Freeman, 1982.
New Grove Dictionary of Music and Musician, Macmillan, London, 2001, s.v.Sonata Form
G. Nierhaus, Algorithmic Composition. Wien, Springer, 2009.
L. Nono, Luigi Nono candidato del PCI con i lavoratori (1963). In: Scritti e colloqui, vol. 1, Angela Ida De Benedictis and Veniro Rizzardi (eds.). Lucca, LIM, 2001.
C. Rosen, Sonata Forms. New York, Norton, 1980.
I. Xenakis, Formalized Music. Revised edition. New York, Pendragon Press, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Italia
About this chapter
Cite this chapter
Scagliola, F. (2012). Towards a Rational Practice of Arithmetic. A Model for Musical (and Multimedia) Composition. In: Emmer, M. (eds) Imagine Math. Springer, Milano. https://doi.org/10.1007/978-88-470-2427-4_27
Download citation
DOI: https://doi.org/10.1007/978-88-470-2427-4_27
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2426-7
Online ISBN: 978-88-470-2427-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)