User:John R. Brews/Fourier series: Difference between revisions
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*{{cite book |title=Springer Handbook of Acoustics |url=http://books.google.com/books?id=4ktVwGe_dSMC&pg=PA541 |page=p. 541 |author=Thomas D. Rossing |isbn=0387304460 |year=2007 |publisher=Springer}} | *{{cite book |title=Springer Handbook of Acoustics |url=http://books.google.com/books?id=4ktVwGe_dSMC&pg=PA541 |page=p. 541 |author=Thomas D. Rossing |isbn=0387304460 |year=2007 |publisher=Springer}} | ||
*[http://books.google.com/books?id=SgBF0j2OfKMC&printsec=frontcover&dq=%22vibration+and+sound%22&hl=en&sa=X&ei=fCLMT8GRK6Kc2QWrx_CRDg&ved=0CEoQ6AEwAQ#v=onepage&q=music&f=false concert hall design] | |||
==References== | ==References== | ||
Revision as of 20:55, 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]
- Thomas D. Rossing (2007). Springer Handbook of Acoustics. Springer. ISBN 0387304460.
- concert hall design
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.