Generalized Fibonacci Numbers and Music
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 1
Abstract
Mathematics and music have well documented historical connections. Just as the ordinary Fibonacci numbers have links with the golden ratio, this paper considers generalized Fibonacci numbers developed from generalizations of the golden ratio. It is well known that the Fibonacci sequence of numbers underlie certain musical intervals and compositions but to what extent are these connections accidental or structural, coincidental or natural and do generalized Fibonacci numbers share any of these connections?
Authors and Affiliations
Anthony G Shannon, Irina Klamka, Robert van Gend
Keywords
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- EP ID EP651862
- DOI 10.24297/jam.v14i1.7323
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