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A214832
Integer part of A440 piano key frequencies, start with A0 = the 1st key.
5
27, 29, 30, 32, 34, 36, 38, 41, 43, 46, 48, 51, 55, 58, 61, 65, 69, 73, 77, 82, 87, 92, 97, 103, 110, 116, 123, 130, 138, 146, 155, 164, 174, 184, 195, 207, 220, 233, 246, 261, 277, 293, 311, 329, 349, 369, 391, 415, 440, 466, 493, 523, 554, 587, 622, 659, 698, 739, 783, 830, 880, 932, 987, 1046, 1108, 1174, 1244, 1318, 1396, 1479, 1567, 1661, 1760, 1864, 1975, 2093, 2217, 2349, 2489, 2637, 2793, 2959, 3135, 3322, 3520, 3729, 3951, 4186
OFFSET
1,1
COMMENTS
A254531(a(k)) = k, k = 1..88. - Reinhard Zumkeller, Feb 04 2015
FORMULA
a(n) = floor[2^((n-49)/12)*440] (Hz) for 1 <= n <= 88.
EXAMPLE
Middle C is 261.626 Hz so a(40) = 261.
PROG
(JavaScript)
for (i=1; i<=88; i++) document.write(Math.floor(Math.pow(2, (i-49)/12)*440)+", ");
(PARI) a(n)=floor(440*2^((n-49)/12));
(Haskell)
a214832 = floor . (* 440) . (2 **) . (/ 12) . fromIntegral . subtract 49
-- Reinhard Zumkeller, Nov 23 2014
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Jon Perry, Mar 07 2013
STATUS
approved