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Search: id:A071831
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| A071831 |
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Frequency ratios for notes of C-major scale starting at c = 1 (numerators). |
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+0
6
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| 1, 9, 5, 4, 3, 5, 15, 2, 9, 5, 8, 3, 10, 15, 4, 9, 5, 16, 6, 20, 15, 8, 9, 10, 32, 12, 40, 15, 16, 18, 20, 64, 24, 80, 30, 32, 36, 40, 128, 48, 160, 60, 64, 72, 80, 256, 96, 320, 120, 128, 144, 160, 512, 192, 640, 240, 256, 288, 320, 1024, 384, 1280, 480, 512, 576, 640, 2048
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n+7) = 2*a(n) for n >= 21. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 06 2006
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EXAMPLE
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The ratios are 1 (c), 9/8 (d), 5/4 (e), 4/3 (f), 3/2 (g), 5/3 (a), 15/8 (b); followed by these 7 numbers multiplied by successive powers of 2.
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PROGRAM
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(PARI) r=[1, 9/8, 5/4, 4/3, 3/2, 5/3, 15/8]; for(n=0, 10, a=2^n*r; for(m=1, 7, print1(numerator(a[m]), ", "))) - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 06 2006
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CROSSREFS
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Cf. A071832, A071833.
Adjacent sequences: A071828 A071829 A071830 this_sequence A071832 A071833 A071834
Sequence in context: A013678 A139604 A104139 this_sequence A110894 A089491 A019882
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KEYWORD
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nonn,frac,easy,nice
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AUTHOR
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njas, Jun 10 2002
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EXTENSIONS
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More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 06 2006
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