|
|
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
|
|
|
MATHEMATICA
|
Rest[Denominator[Convergents[(Log[5]/(4 Log[2])), 50]]] (* Peter J. C. Moses, Oct 05 2014 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|