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A103922
Continued fraction expansion of the twelfth root of two, 2^(1/12).
6
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
OFFSET
0,2
COMMENTS
Successive note frequencies in the twelve-tone equal temperament chromatic scale are 2^(1/12) higher than their predecessor.
LINKS
Michael Rubinstein, University of Waterloo, The Conspiracy of Equal Temperament
Eric Weisstein's World of Mathematics, Continued Fractions
MATHEMATICA
ContinuedFraction[2^(1/12), 100]
ContinuedFraction[Surd[2, 12], 120] (* Harvey P. Dale, Jan 02 2019 *)
PROG
(PARI) default(realprecision, 120); contfrac(2^(1/12)) \\ Seiichi Manyama, Feb 05 2021
CROSSREFS
Sequence in context: A040265 A040264 A040266 * A040267 A363917 A040268
KEYWORD
cofr,nice,nonn
AUTHOR
Nicholas A Kooij (nickkooij(AT)hotmail.com), May 02 2005
STATUS
approved