A329211 Decimal expansion of the fundamental frequency of the note E4 in hertz.

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

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 E4 (5 semitones below A4) is 440*2^(-5/12) Hz = 329.6 Hz.

Also the frequency of the first string of a guitar when standard tuning is used.

Links

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

Wikipedia, Piano key frequencies

Index entries for sequences based on music

Formula

Equals 220 * 2^(7/12).

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...  (this seq)
  |           +---------------------------------------
  |  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...  (A329218)
  |
   >--------------------------------------------------
[New layout from Jon E. Schoenfield, Nov 08 2019]

Prog

(PARI) default(realprecision, 100); 440 * 2^(-5/12)

Crossrefs

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

Sequence in context: A228323 A350831 A140590 * A164279 A289053 A191539

Adjacent sequences: A329208 A329209 A329210 * A329212 A329213 A329214

Keyword

nonn,easy,cons

Author

Jianing Song, Nov 08 2019

Status

approved