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Denominators of the convergents to the continued fraction for log_2(5)/4.
2

%I #9 Jun 26 2021 21:41:15

%S 1,2,5,7,12,19,31,174,205,789,2572,3361,9294,12655,97879,7647217,

%T 15392313,207747286,1054128743,2316004772,24214176463,74958534161,

%U 174131244785,3557583429861,3731714674646,14752727453799,77495351943641

%N Denominators of the convergents to the continued fraction for log_2(5)/4.

%C This is the fifth of 1/4-comma meantone temperament and hence of significance in music theory, as these represent equal divisions of the octave in which the circle of fifths nearly closes. The sequence is therefore closely related to A005664.

%H Tonalsoft Encyclopedia, <a href="http://www.tonalsoft.com/enc/number/1-4cmt.aspx">Quarter-comma meantone</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Quarter-comma_meantone">Quarter-comma meantone</a>

%t Rest[Denominator[Convergents[(Log[5]/(4 Log[2])),50]]] (* _Peter J. C. Moses_, Oct 05 2014 *)

%Y Cf. A005664.

%K nonn

%O 0,2

%A _Gene Ward Smith_, Dec 31 2005