Robert van Gend
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 1, Pages 72–77
Full paper (PDF, 414 Kb)
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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
- Grimaldi, Ralph P. Fibonacci and Catalan Numbers: An Introduction. Hoboken, NJ: John Wiley & Sons, 2012.
- Goldennumber.net. Acoustics, 2012. http://www.goldennumber.net/acoustics/
- Yurick, S. Music and the Fibonacci Series and Phi, Goldennumber.net, 2012. http://www.goldennumber.net/music
- Howat, R. Debussy in Proportion: A Musical Analysis. Cambridge: Cambridge UP, 1983. p. 1.
- 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
Van Gend, R. (2014). The Fibonacci sequence and the golden ratio in music. Notes on Number Theory and Discrete Mathematics, 20(1), 72-77.
