Psychoacoustic Properties of Fibonacci Sequences

Authors

  • J. Sokoll
  • S. Fingerhuth

DOI:

https://doi.org/10.14311/1027

Keywords:

Fibonacci Sequence, psychoacoustics, listening tests

Abstract

1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones. If such a binary Fibonacci Sequence is played back as an audio file, a very dissonant sound results. This is caused by the “almost-periodic”, “self-similar” property of the binary sequence. The ratio of zeros and ones converges to the golden ratio, as do the primary and secondary spectral components intheir frequencies and amplitudes. These Fibonacci Sequences will be characterized using listening tests and psychoacoustic analyses. 

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Author Biographies

J. Sokoll

S. Fingerhuth

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Published

2008-01-04

How to Cite

Sokoll, J., & Fingerhuth, S. (2008). Psychoacoustic Properties of Fibonacci Sequences. Acta Polytechnica, 48(4). https://doi.org/10.14311/1027

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Section

Articles