User:John R. Brews/Fourier series: Difference between revisions
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==Fourier series (music)== | ==Fourier series (music)== | ||
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. 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.<ref name=Gunther/><ref name=Hopkin/> | 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 (waves)|sound envelope]] of a note, and therefore the amplitude of its harmonics.<ref name=Alten/> | ||
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.<ref name=Gunther/><ref name=Hopkin/> | |||
==References== | ==References== | ||
Revision as of 15:12, 3 June 2012
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
- ↑ 1.0 1.1 Leon Gunther (2011). The Physics of Music and Color. Springer, 47 ff. ISBN 1461405564.
- ↑ Cite error: Invalid
<ref>tag; no text was provided for refs namedAlten - ↑ Bart Hopkin (1996). “Figure 2-4”, Musical Instrument Design: Practical Information for Instrument Making. See Sharp Press. ISBN 1884365086.