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Search: id:A060528
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| A060528 |
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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. |
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7
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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CROSSREFS
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A054540, A060525, A060526, A060527.
Sequence in context: A086108 A052430 A024784 this_sequence A117593 A126057 A126056
Adjacent sequences: A060525 A060526 A060527 this_sequence A060529 A060530 A060531
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KEYWORD
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nonn
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AUTHOR
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Mark William Rankin (MarkRankin95511(AT)Yahoo.com), Apr 12 2001
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