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A103922 Continued fraction expansion of the twelfth root of two, 2^(1/12). 2
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 (list; graph; refs; listen; history; text; internal format)
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]

ContinuedFraction[Surd[2, 12], 120] (* Harvey P. Dale, Jan 02 2019 *)

CROSSREFS

Cf. A010774.

Sequence in context: A040265 A040264 A040266 * A040267 A040268 A321673

Adjacent sequences:  A103919 A103920 A103921 * A103923 A103924 A103925

KEYWORD

cofr,nice,nonn

AUTHOR

Nicholas A Kooij (nickkooij(AT)hotmail.com), May 02 2005

STATUS

approved

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Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)