The Fibonacci sequence and the golden ratio in music

Robert van Gend
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 1, Pages 72—77
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Authors and affiliations

Robert van Gend
Campion College
PO Box 3052, Toongabbie East, NSW 2146, Australia

Abstract

This paper presents an original composition based on Fibonacci numbers, to explore the inherent aesthetic appeal of the Fibonacci sequence. It also notes the use of the golden ratio in certain musical works by Debussy and in the proportions of violins created by Stradivarius.

Keywords

  • Fibonacci sequence
  • Golden ratio
  • Musical composition

AMS Classification

  • 11B39
  • 00A65

References

  1. Grimaldi, Ralph P. Fibonacci and Catalan Numbers: An Introduction. Hoboken, NJ: John Wiley & Sons, 2012.
  2. Goldennumber.net. Acoustics, 2012. http://www.goldennumber.net/acoustics/
  3. Yurick, S. Music and the Fibonacci Series and Phi, Goldennumber.net, 2012. http://www.goldennumber.net/music
  4. Howat, R. Debussy in Proportion: A Musical Analysis. Cambridge: Cambridge UP, 1983. p. 1.
  5. Thomson, D. W. Phi in Quantum Solid State Matter, Goldennumber.net, 2012. http://www.goldennumber.net/quantum-matter

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Cite this paper

APA

Van Gend, R. (2014). The Fibonacci sequence and the golden ratio in music. Notes on Number Theory and Discrete Mathematics, 20(1), 72-77.

Chicago

Van Gend, Robert. “The Fibonacci Sequence and the Golden Ratio in Music.” Notes on Number Theory and Discrete Mathematics 20, no. 1 (2014): 72-77.

MLA

Van Gend, Robert. “The Fibonacci Sequence and the Golden Ratio in Music.” Notes on Number Theory and Discrete Mathematics 20.1 (2014): 72-77. Print.

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