A329217 Decimal expansion of the fundamental frequency of the note A#4/Bb4 in hertz.

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

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 A#4/Bb4 (1 semitone above A4) is 440*2^(1/12) Hz = 466.2 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 12

Formula

Equals 440 * 2^(1/12).

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...  (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...  (this seq)
  |           +---------------------------------------
  |  B4                  493.8833012561...  (A329218)
  |
   >--------------------------------------------------
[New layout from Jon E. Schoenfield, Nov 08 2019]

Mathematica

First[RealDigits[440*2^(1/12), 10, 100]] (* Paolo Xausa, Jun 18 2024 *)

Prog

(PARI) default(realprecision, 100); 440 * 2^(1/12)

Crossrefs

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

Sequence in context: A324942 A199161 A373793 * A352592 A119858 A130753

Adjacent sequences: A329214 A329215 A329216 * A329218 A329219 A329220

Keyword

nonn,easy,cons

Author

Jianing Song, Nov 08 2019

Status

approved