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 A060233 A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11. 5
 1, 2, 3, 4, 6, 7, 9, 10, 15, 19, 22, 24, 26, 31, 37, 41, 46, 50, 53, 72, 84, 87, 130, 137, 140, 171, 183, 217, 224, 270, 494, 764, 851, 1038, 1282, 1308, 1578, 2190, 2684, 3395, 4843, 5004, 5585, 6079, 8269, 14124, 14618, 17302, 20203, 22887, 31737 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence was found by a computer search of all the equal divisions of the octave from 1 to over 31737. The numerical value of each term represents a musical scale based on an equal division of the octave. 19, for example, signifies the scale which is formed by dividing the octave into 19 equal parts. LINKS FORMULA Recurrence: The next term equals the current term plus one or more of the previous terms: a(n+1) = a(n) + a(n-x)... + a(n-y)... + a(n-z), etc. EXAMPLE 6 = 4 + the previous term 2. Again, 48545 = 46625 + the previous terms (1578 + 270 + 72). CROSSREFS A054540, A060525, A060526, A060527, A060528, A060529, A001149, A000045. Sequence in context: A071689 A187092 A076679 * A235203 A187102 A191991 Adjacent sequences:  A060230 A060231 A060232 * A060234 A060235 A060236 KEYWORD nonn AUTHOR Mark William Rankin (MarkRankin95511(AT)Yahoo.com), Apr 14 2001 STATUS approved

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Last modified October 15 10:15 EDT 2019. Contains 328026 sequences. (Running on oeis4.)