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 A060529 A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7. 7
 1, 2, 3, 4, 12, 14, 15, 18, 19, 23, 27, 45, 68, 72, 99, 171, 346, 445, 517, 616, 688, 787, 1133, 1304, 3912, 7136, 8440, 9744, 11048, 12352, 18355, 19659, 20963, 22267, 26795, 28099, 29403, 30707, 40451, 41755, 69854, 71158, 72462, 143620, 216082 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence was found by a computer search of all of the equal divisions of the octave from 1 to over 216082. The self-accumulating nature of this sequence fails once, between the fourth and fifth terms. The sequence therefore does not meet the rigorous definition of 'impeccable' recurrence. The otherwise perfect recurrence in this sequence is of the type 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. LINKS CROSSREFS A054540, A060525, A060526, A060527, A060528, A001149, A000045. Sequence in context: A285618 A062946 A210584 * A048073 A002447 A275067 Adjacent sequences:  A060526 A060527 A060528 * A060530 A060531 A060532 KEYWORD nonn AUTHOR Mark William Rankin (MarkRankin95511(AT)Yahoo.com), Apr 12 2001 STATUS approved

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Last modified December 11 04:29 EST 2018. Contains 318049 sequences. (Running on oeis4.)