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Search: id:A101285
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| A101285 |
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Rounded frequencies in Hertz of the notes of the C major music scale beginning at A. |
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+0
1
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| 55, 62, 65, 73, 82, 87, 98, 110, 123, 131, 147, 165, 175, 196, 220, 247, 262, 294, 330, 349, 392, 440, 494, 523, 587, 659, 698, 784, 880, 988, 1047, 1175, 1319, 1397, 1568, 1760, 1976, 2093, 2349, 2637, 2794, 3136, 3520, 3951, 4186, 4699, 5274, 5588, 6272
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The scale is equal-tempered ("Wohltemperiert"), introduced by Johann Sebastian Bach.
Subsequence of A101286, obtained by removal of the 5 black key's frequencies in each block of 12 keys. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 12 2008
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LINKS
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T. Yahaya Abdullah, Music Scales, part of Synthesizers, Music and Television.
Wikipedia, Equal temperament
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FORMULA
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a(7n) = round(55*2^(n-1/6)). a(7n+1) = 55*2^n. a(7n+2) = round(55*2^(n+1/6)). a(7n+3) = round(55*2^(n+1/4)). a(7n+4) = round(55*2^(n+5/12)). a(7n+5) = round(110*2^(n-5/12)). a(7n+6) = round(110*2^(n-1/3)). - David Wasserman (dwasserm(AT)earthlink.net), Mar 17 2008
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MAPLE
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A101286x := proc(n) 55*2.0^((n-1)/12.0) ; end: A101285x := proc(n) if n >= 8 then 2*A101285x(n-7) ; else A101286x(op(n, [1, 3, 4, 6, 8, 9, 11])) ; fi ; end: A101285 := proc(n) round(A101285x(n)) ; end: seq(A101285(n), n=1..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 12 2008
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PROGRAM
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(PARI) forstep(i = 0, 100, [2, 1, 2, 2, 1, 2, 2], print(round(55*2^(i/12)))) - David Wasserman (dwasserm(AT)earthlink.net), Mar 17 2008
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CROSSREFS
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Cf. A071831, A071832, A071833.
Sequence in context: A042511 A020282 A101286 this_sequence A159024 A039356 A043179
Adjacent sequences: A101282 A101283 A101284 this_sequence A101286 A101287 A101288
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KEYWORD
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nonn
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AUTHOR
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Angela Johansson (angvi798(AT)student.liu.se), Dec 20 2004
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EXTENSIONS
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More terms from Jonathan R. Love (japanada11(AT)yahoo.ca) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 08 2007
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