A112732 Denominators of the convergents to the continued fraction for log_2(5)/4.

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

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

Table of n, a(n) for n=0..26.

Tonalsoft Encyclopedia, Quarter-comma meantone

Wikipedia, 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

Adjacent sequences: A112729 A112730 A112731 * A112733 A112734 A112735

Keyword

nonn

Author

Gene Ward Smith, Dec 31 2005

Status

approved