Skip to main content

“Fuzzy Clouds”: Sfumato versus Chiaroscuro in Music

  • Chapter
On Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 298))

  • 1688 Accesses

Abstract

Interestingly L. Zadeh himself initially conceived Fuzzy Logic (including Fuzzy Set Theory and Soft Computing) in a transdisciplinary fashion: It was meant for application beyond the borders of his discipline. By now there have been numerous attempts and contributions from a great variety of scientific disciplines (Cf. for example [11].) All of this shows the many-fold and productive significance of Fuzzy Logic. Up to 22 November 2008 I myself had made contact with Fuzzy Logic every now and then without even being aware of it. Fuzzy Logic is applied in video cameras or refrigerators etc. Consciously and theoretically I was made aware of this only on the day of R. Seising’s presentation. Some aspects of what interests me, even fascinates me in Fuzzy Logic have been discussed in two publications of mine from 2009/2010 ( [4], [6]). Some further aspects I will briefly sketch here.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. In: Bellman, R. (ed.) Mathematics in Science and Engeneering, vol. 144. Academic Press, New York (1980)

    Google Scholar 

  2. Heister, H.-W., Politik, K.: Religion: Gewalt bei Schönberg. In: Meyer, C. (ed.) Arnold Schönberg und sein Gott / and His God. Bericht zum Symposium, Wien, Juni 26-29, pp. 31–64 (2002, 2003); Journal of the Arnold Schönberg Center, Bd. 5

    Google Scholar 

  3. Heister, H.-W. (with Ines Gellrich, photographies): Un/Endlichkeit. Begegnungen mit György Ligeti 1989-2003. Modo-Verlag, Freiburg (2008)

    Google Scholar 

  4. Heister, H.-W.: Kybernetik, Fuzzy Logic und die Existenzformen der Musik. Ein vorläufiger Entwurf. In: Flender, R., Theede, M. (eds.): Innovation aus Tradition – Festschrift Hermann Rauhe zum 80. Geburtstag, Schott International, Mainz, pp. 93-115 ( 2010)

    Google Scholar 

  5. Heister, H.-W.: “Das ist Polyphonie.” Zur Natur in und von Mahlers Tonsatz. In: Heister, H.-W., Hochstein, W. (eds.) Wo die Schönen Trompeten Blasen - vokale and Instrumentale Semantik im Werk Gustav Mahlers (Musik und. Eine Schriftenreihe der Hochschule für Musik und Theater Hamburg. Neue Folge), vol. 11, pp. 205–228. Weidler Buchverlag, Berlin (2011)

    Google Scholar 

  6. Heister, H.-W.: Invariance and Variance of Motives: A Model of Musical Logic and/as Fuzzy Logic. In: Seising, R., Sanz, V. (eds.) Soft Computing in Humanities and Social Sciences. STUDFUZZ, vol. 273, pp. 423–450. Springer, Heidelberg (2012)

    Google Scholar 

  7. Nono-Schoenberg, N. (ed.): Arnold Schönberg. 1874-1951. Lebensgeschichte in Begegnungen. Verlag Ritter, Klagenfurt (1992)

    Google Scholar 

  8. Popper, K.R.: Of Clouds and Clocks. In: Popper, K.R. (ed.) Objective Knowledge: An Evolutionary Approach, pp. 2–66. Clarendon, Oxford (1972)

    Google Scholar 

  9. Seising, R.: Die Entstehung der Fuzzy Set Theorie und ihrer ersten Anwendungen – Ihre Entwicklung bis in die 70er Jahre des 20. Jahrhunderts, Stuttgart (2005); English as the Fuzzification of Systems: The Genesis of Fuzzy Set Theory and Its Initial Applications – Developments Up to the 1970s, Berlin etc (2007)

    Google Scholar 

  10. Seising, R.: Information - ein Begriff im Fluss. 60 Jahre ’Mathematische Theorie der Kommunikation, Vortrag zum Symposion 1948-2008: 60 Jahre Kybernetik - eine nach wie vor junge Wissenschaft?!, Berlin, November 21-22 (2008) (unpublished)

    Google Scholar 

  11. Seising, R., Sanz González, V. (eds.): Soft Computing in Humanities and Social Sciences. STUDFUZZ, vol. 273. Springer, Heidelberg (2012)

    Google Scholar 

  12. Spielmann, H., Westheider, O. (eds.): Wolkenbilder. Die Entdeckung des Himmels, Hamburg (2004)

    Google Scholar 

  13. Sun, S.-N.: Gustav Mahler’s “Das Lied von der Erde”: An Intellectual Journey Across Cultures and Beyond Life and Death, Florida State University. College of Music. Master Thesis, 116 p (2009), http://etd.lib.fsu.edu/theses/available/etd-04122009-212814/unrestricted/SunSThesis.pdf (January 18, 2009)

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Heister, HW. (2013). “Fuzzy Clouds”: Sfumato versus Chiaroscuro in Music. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35641-4_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35640-7

  • Online ISBN: 978-3-642-35641-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics