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A112732 Denominators of the convergents to the continued fraction for log_2(5)/4. 2
1, 2, 5, 7, 12, 19, 31, 174, 205, 789, 2572, 3361, 9294, 12655, 97879, 7647217, 15392313, 207747286, 1054128743, 2316004772, 24214176463, 74958534161, 174131244785, 3557583429861, 3731714674646, 14752727453799, 77495351943641 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
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.
LINKS
Tonalsoft Encyclopedia, Quarter-comma meantone
MATHEMATICA
Rest[Denominator[Convergents[(Log[5]/(4 Log[2])), 50]]] (* Peter J. C. Moses, Oct 05 2014 *)
CROSSREFS
Cf. A005664.
Sequence in context: A001060 A042343 A042691 * A331529 A042065 A041793
KEYWORD
nonn
AUTHOR
Gene Ward Smith, Dec 31 2005
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)