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A103922

Continued fraction expansion of the twelfth root of two, 2^(1/12).

1, 16, 1, 4, 2, 7, 1, 1, 2, 2, 7, 4, 1, 2, 1, 60, 1, 3, 1, 2, 8, 5, 1, 2, 1, 1, 1, 5, 1, 1, 3, 5, 1, 1, 1, 2, 3, 1, 1, 1, 73, 3, 5, 1, 1, 1, 2, 26, 2, 1, 1, 2, 7, 2, 1, 1, 2, 3, 1, 1, 1, 14, 1, 2, 1, 4, 1, 19, 8, 3, 6, 5, 1, 2, 1, 1, 1, 5, 1, 4, 1, 1, 3, 10, 1, 1, 4, 4, 9, 4, 4, 1, 1, 1, 4, 1, 19, 16, 13

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OFFSET

0,2

COMMENTS

Successive note frequencies in the twelve-tone equal temperament chromatic scale are 2^(1/12) higher than their predecessor.

LINKS

Table of n, a(n) for n=0..98.

Michael Rubinstein, University of Waterloo, The Conspiracy of Equal Temperament

Eric Weisstein's World of Mathematics, Continued Fractions

Wikipedia, Equal Temperament

MATHEMATICA

ContinuedFraction[2^(1/12), 100]