login
A329218
Decimal expansion of the fundamental frequency of the note B4 in hertz.
10
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.
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 * A373016 A359259 A224953
KEYWORD
nonn,easy,cons
AUTHOR
Jianing Song, Nov 08 2019
STATUS
approved