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A060528 A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of two tones of musical harmony: the perfect 4th, 4/3 and its complement the perfect 5th, 3/2. 6
1, 2, 3, 5, 7, 12, 29, 41, 53, 200, 253, 306, 359, 665, 8286, 8951, 9616, 10281, 10946, 11611, 12276, 12941, 13606, 14271, 14936, 15601, 31867, 79335, 111202, 190537, 571611, 5446238, 5636775, 5827312, 6017849, 6208386, 6398923, 6589460 (list; graph; refs; listen; history; text; internal format)



The sequence was found by a computer search of all the equal divisions of the octave from 1 to over 6589460. This is not a perfect recurrent sequence because its self-accumulating nature fails between the 9th and 10th terms, between the 14th and 15th terms, between the 30th and 31st terms and between the 31st and 32nd terms. The examples of recurrence which are present in this sequence are of the same type that is seen in sequences A054540, A060526 and A060527. The numerical value of each term represents a musical scale based on an equal division of the octave. 12, for example, signifies the scale which is formed by dividing the octave into 12 equal parts.


Table of n, a(n) for n=1..38.


A054540, A060525, A060526, A060527.

Sequence in context: A235153 A177968 A024784 * A117593 A209192 A052021

Adjacent sequences:  A060525 A060526 A060527 * A060529 A060530 A060531




Mark William Rankin (MarkRankin95511(AT)Yahoo.com), Apr 12 2001



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Last modified December 22 22:37 EST 2014. Contains 252372 sequences.