User:John R. Brews/Fourier series: Difference between revisions
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==Fourier series (music)== | ==Fourier series (music)== | ||
{{Image|Sound envelope of a musical note.png|right| | {{Image|Sound envelope of a musical note.png|right|180px|The amplitude of a musical note varies in time according to its sound envelope.<ref name=Alten/>}} | ||
The ideas of [[Fourier series]] have interesting application in [[music]], for example, in illuminating the differences in [[Pitch (music)|pitch]] between [[musical instrument]]s and in the construction of [[music synthesizer]]s.<ref name=Gunther/> 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 [[Envelope function|sound envelope]] of a note, and therefore the amplitude of its harmonics.<ref name=Alten/> | The ideas of [[Fourier series]] have interesting application in [[music]], for example, in illuminating the differences in [[Pitch (music)|pitch]] between [[musical instrument]]s and in the construction of [[music synthesizer]]s.<ref name=Gunther/> 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 [[Envelope function|sound envelope]] of a note, and therefore the amplitude of its harmonics.<ref name=Alten/> | ||
Revision as of 16:49, 3 June 2012
Fourier series (music)
(PD) Image: John R. Brews
The amplitude of a musical note varies in time according to its sound envelope.[1]
The amplitude of a musical note varies in time according to its sound envelope.[1]
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.[2] 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.[1]
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.[2][3]
References
- ↑ 1.0 1.1 Stanley R. Alten (2010). “Sound envelope”, Audio in Media, 12th ed. Cengage Learning. ISBN 049557239X.
- ↑ 2.0 2.1 Leon Gunther (2011). The Physics of Music and Color. Springer, 47 ff. ISBN 1461405564.
- ↑ Bart Hopkin (1996). “Figure 2-4”, Musical Instrument Design: Practical Information for Instrument Making. See Sharp Press. ISBN 1884365086.