User:John R. Brews/Fourier series

From Citizendium
< User:John R. Brews
Revision as of 14:12, 3 June 2012 by imported>John R. Brews (→‎Fourier series (music))
Jump to navigation Jump to search

Fourier series (music)

The ideas of Fourier series have interesting application in music, for example, in illuminating the differences in pitch between musical instruments and in the construction of music synthesizers.[1] The frequency spectrum of a musical instrument playing a particular note varies with the instrument and with the way that it is played. The manner of playing determines the sound envelope of a note, and therefore the amplitude of its harmonics.[2]

Some instruments {like the flute or the violin) exhibit a fundamental frequency and its harmonics in varying amplitudes and phase, and others (like the cymbal or the drum) do not.[1][3]

References

  1. 1.0 1.1 Leon Gunther (2011). The Physics of Music and Color. Springer, 47 ff. ISBN 1461405564. 
  2. Cite error: Invalid <ref> tag; no text was provided for refs named Alten
  3. Bart Hopkin (1996). “Figure 2-4”, Musical Instrument Design: Practical Information for Instrument Making. See Sharp Press. ISBN 1884365086.