cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A329207 Decimal expansion of the fundamental frequency of the note C4 (middle C) in Hertz.

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%I A329207 #25 Jun 18 2024 11:08:39
%S A329207 2,6,1,6,2,5,5,6,5,3,0,0,5,9,8,6,3,4,6,7,7,8,4,9,9,9,3,5,2,3,3,0,4,7,
%T A329207 0,1,3,6,4,4,5,3,8,6,0,3,4,2,0,3,9,8,3,0,8,6,4,1,8,0,4,8,9,4,3,8,2,8,
%U A329207 2,6,6,7,0,0,9,9,2,1,7,7,5,1,7,1,5,7,1,8,9,5,7,9,8
%N A329207 Decimal expansion of the fundamental frequency of the note C4 (middle C) in Hertz.
%C A329207 In 12-tone equal temperament, when A4 (the fifth A on the Piano keyboard) is tuned to 440 Hz, the frequency of the note C4 (9 semitones below A4) is 440*2^(-9/12) Hz = 261.625... Hz.
%H A329207 Wikipedia, <a href="https://en.wikipedia.org/wiki/Piano_key_frequencies">Piano key frequencies</a>
%H A329207 <a href="/index/Mu#music">Index entries for sequences based on music</a>
%H A329207 <a href="/index/Al#algebraic_04">Index entries for algebraic numbers, degree 4</a>
%F A329207 Equals 220 * 2^(1/4).
%e A329207 Frequencies of notes in an octave (Hz):
%e A329207    >--------------------------------------------------
%e A329207   |
%e A329207   |  C4                  261.6255653005...  (this seq)
%e A329207   |           +---------------------------------------
%e A329207    >----------| C#4/Db4  277.1826309768...  (A329208)
%e A329207   |           +---------------------------------------
%e A329207   |  D4                  293.6647679174...  (A329209)
%e A329207   |           +---------------------------------------
%e A329207    >----------| D#4/Eb4  311.1269837220...  (A329210)
%e A329207   |           +---------------------------------------
%e A329207   |  E4                  329.6275569128...  (A329211)
%e A329207   |
%e A329207    >--------------------------------------------------
%e A329207   |
%e A329207   |  F4                  349.2282314330...  (A329212)
%e A329207   |           +---------------------------------------
%e A329207    >----------| F#4/Gb4  369.9944227116...  (A329213)
%e A329207   |           +---------------------------------------
%e A329207   |  G4                  391.9954359817...  (A329214)
%e A329207   |           +---------------------------------------
%e A329207    >----------| G#4/Ab4  415.3046975799...  (A329215)
%e A329207   |           +---------------------------------------
%e A329207   |  A4                  440.0000000000
%e A329207   |           +---------------------------------------
%e A329207    >----------| A#4/Bb4  466.1637615180...  (A329217)
%e A329207   |           +---------------------------------------
%e A329207   |  B4                  493.8833012561...  (A329218)
%e A329207   |
%e A329207    >--------------------------------------------------
%e A329207 [New layout from _Jon E. Schoenfield_, Nov 08 2019]
%t A329207 First[RealDigits[220*2^(1/4), 10, 100]] (* _Paolo Xausa_, Jun 18 2024 *)
%o A329207 (PARI) default(realprecision, 100); 440 * 2^(-9/12)
%Y A329207 See the Example section above for the fundamental frequency of some other notes.
%K A329207 nonn,easy,cons
%O A329207 3,1
%A A329207 _Jianing Song_, Nov 08 2019
%E A329207 a(93) corrected by _Georg Fischer_, Jul 16 2021