Dumb Fibonacci

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This page presents a niche topic.

While not arbitrary, it may contain ideas whose practical applications in music are unknown or narrow in scope.

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The Dumb Fibonacci series is a subset of the overtone series: only the harmonics which are Fibonacci numbers. It begins:

[math]\displaystyle{ 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... }[/math]

This like any harmonic series -like tuning, could be octave-reduced, and/or subsets of pitches could be taken to form scales.

See also: Xenharmonic series