id:A103922 - OEIS Search Results

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Continued fraction expansion of the twelfth root of two, 2^(1/12). Successive note frequencies in the twelve-tone equal tempermant chromatic scale are 2^(1/12) higher than their predecessor.

+0
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; listen)

	OFFSET	`0,2`
	COMMENT	`Successive note frequencies in the twelve-tone equal tempermant 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` `Wikipedia, Equal Temperament`
	MATHEMATICA	`ContinuedFraction[2^(1/12), 100]`
	CROSSREFS	`Sequence in context: A040265 A040264 A040266 this_sequence A040267 A040268 A040269` `Adjacent sequences: A103919 A103920 A103921 this_sequence A103923 A103924 A103925`
	KEYWORD	`cofr,nice,nonn`
	AUTHOR	`Nicholas A Kooij (nickkooij(AT)hotmail.com), May 02 2005`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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