Skip to main content

Musical Analysis Using Mathematical Proceedings in the XXth Century

  • Chapter
Mathematics and Music
  • 969 Accesses

Abstract

In the twentieth-century, musical theories using mathematical proceedings are different from those of the Renaissance or the Baroque period. Musicians or philosophers such as Mersenne, Descartes, Rameau, D’Alembert, Euler were essentially concerned with the problem of finding out the numerical relationship hidden in music or in sound. Their basic assumption was the direct link between the use of ratio 3/2 or a limited number of simple intervals in the ground bass and a possible rational explanation of music.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Helmholtz, H.: Théorie physiologique de la musique, p. 300. Paris: Masson 1868

    Google Scholar 

  2. Hindemith, P.: Unterweisung im Tonsatz. 260p. Mainz: Schott 1940

    Google Scholar 

  3. Schillinger, J.: The Schillinger system of musical composition. New York: Carl Fischer 1941

    Google Scholar 

  4. Ansermet, E.: Les fondements de la musique dans la conscience humaine. 1119p. Neuchâtel: La Baconnière 1961. New Ed.: Paris: Laffont 1989

    Google Scholar 

  5. Ansermet, E.: Ecrits sur la musique, p. 92 et 107. Neuchâtel: La Baconnière 1971

    Google Scholar 

  6. Fichet, L.: Les théories scientifiques de la musique aux XIXe et XXe siècles. Paris: Vrin 1996

    Google Scholar 

  7. Bent, L: L’analyse musicale. 1998 in France. Ed. MacMillan 1987

    Google Scholar 

  8. Forte, A.: The structure of atonal music. 224p. New Haven: Yale University Press 1977

    Google Scholar 

  9. ; Ibidem, p. 83

    Google Scholar 

  10. Sadaï, Y.: De l’analyse pour l’analyse et du sens de l’intuition. Musurgia 65 (Nov. 1995)

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fichet, L. (2002). Musical Analysis Using Mathematical Proceedings in the XXth Century. In: Assayag, G., Feichtinger, H.G., Rodrigues, J.F. (eds) Mathematics and Music . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04927-3_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04927-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07836-1

  • Online ISBN: 978-3-662-04927-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics