Dumb Fibonacci
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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]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