A329218 Decimal expansion of the fundamental frequency of the note B4 in hertz.

4, 9, 3, 8, 8, 3, 3, 0, 1, 2, 5, 6, 1, 2, 4, 1, 1, 1, 8, 3, 0, 7, 5, 4, 5, 4, 1, 8, 5, 8, 8, 3, 8, 9, 8, 7, 1, 4, 2, 2, 6, 0, 8, 8, 8, 6, 7, 0, 1, 5, 4, 1, 7, 1, 5, 1, 3, 7, 8, 0, 2, 0, 0, 1, 8, 8, 4, 7, 7, 7, 6, 2, 4, 4, 8, 9, 7, 8, 9, 4, 8, 7, 1, 8, 6, 8, 6, 2, 1, 9, 9

Offset

3,1

Comments

In 12-tone equal temperament, when A4 (the fifth A on the Piano keyboard) is tuned to 440 Hz, the frequency of the note B4 (2 semitones above A4) is 440*2^(2/12) Hz = 493.9 Hz.

Links

Table of n, a(n) for n=3..93.

Wikipedia, Piano key frequencies

Index entries for sequences based on music

Index entries for algebraic numbers, degree 6

Formula

Equals 440 * 2^(1/6).

Example

Frequencies of notes in an octave (Hz):
   >--------------------------------------------------
  |
  |  C4                  261.6255653005...  (A329207)
  |           +---------------------------------------
   >----------| C#4/Db4  277.1826309768...  (A329208)
  |           +---------------------------------------
  |  D4                  293.6647679174...  (A329209)
  |           +---------------------------------------
   >----------| D#4/Eb4  311.1269837220...  (A329210)
  |           +---------------------------------------
  |  E4                  329.6275569128...  (A329211)
  |
   >--------------------------------------------------
  |
  |  F4                  349.2282314330...  (A329212)
  |           +---------------------------------------
   >----------| F#4/Gb4  369.9944227116...  (A329213)
  |           +---------------------------------------
  |  G4                  391.9954359817...  (A329214)
  |           +---------------------------------------
   >----------| G#4/Ab4  415.3046975799...  (A329215)
  |           +---------------------------------------
  |  A4                  440.0000000000
  |           +---------------------------------------
   >----------| A#4/Bb4  466.1637615180...  (A329217)
  |           +---------------------------------------
  |  B4                  493.8833012561...  (this seq)
  |
   >--------------------------------------------------
[New layout from Jon E. Schoenfield, Nov 08 2019]

Mathematica

RealDigits[440 Surd[2, 6], 10, 120][[1]] (* Harvey P. Dale, Oct 16 2022 *)

Prog

(PARI) default(realprecision, 100); 440 * 2^(1/6)

Crossrefs

See the Example section above for the fundamental frequency of some other notes.

Sequence in context: A200369 A226094 A292340 * A359259 A224953 A120869

Adjacent sequences: A329215 A329216 A329217 * A329219 A329220 A329221

Keyword

nonn,easy,cons

Author

Jianing Song, Nov 08 2019

Status

approved