User:John R. Brews/Fourier series: Difference between revisions
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*[http://books.google.com/books?id=rYfqoc1dDmYC&pg=PA4&dq=%22Timbre+or+tone+quality+is+what+enables+us+to+distinguish+among+sounds+from+different+instruments+%22&hl=en&sa=X&ei=dCTMT4_jEYX02QXG6czZCw&ved=0CDoQ6AEwAA#v=onepage&q=%22Timbre%20or%20tone%20quality%20is%20what%20enables%20us%20to%20distinguish%20among%20sounds%20from%20different%20instruments%20%22&f=false timbre] | *[http://books.google.com/books?id=rYfqoc1dDmYC&pg=PA4&dq=%22Timbre+or+tone+quality+is+what+enables+us+to+distinguish+among+sounds+from+different+instruments+%22&hl=en&sa=X&ei=dCTMT4_jEYX02QXG6czZCw&ved=0CDoQ6AEwAA#v=onepage&q=%22Timbre%20or%20tone%20quality%20is%20what%20enables%20us%20to%20distinguish%20among%20sounds%20from%20different%20instruments%20%22&f=false timbre] | ||
*[http://books.google.com/books?id=4ktVwGe_dSMC&pg=PA483&dq=%22Timbre+or+tone+quality+is+what+enables+us+to+distinguish+among+sounds+from+different+instruments+%22&hl=en&sa=X&ei=dCTMT4_jEYX02QXG6czZCw&ved=0CEAQ6AEwAQ#v=onepage&q=%22Timbre%20or%20tone%20quality%20is%20what%20enables%20us%20to%20distinguish%20among%20sounds%20from%20different%20instruments%20%22&f=false timbre] | *[http://books.google.com/books?id=4ktVwGe_dSMC&pg=PA483&dq=%22Timbre+or+tone+quality+is+what+enables+us+to+distinguish+among+sounds+from+different+instruments+%22&hl=en&sa=X&ei=dCTMT4_jEYX02QXG6czZCw&ved=0CEAQ6AEwAQ#v=onepage&q=%22Timbre%20or%20tone%20quality%20is%20what%20enables%20us%20to%20distinguish%20among%20sounds%20from%20different%20instruments%20%22&f=false timbre] | ||
*[http://books.google.com/books?id=4ktVwGe_dSMC&pg=PA630&dq=%22intensity+of+the+first+partial%22&hl=en&sa=X&ei=4yXMT9O4N4PM2AWkzP3ZCw&ved=0CDwQ6AEwAQ#v=onepage&q=%22intensity%20of%20the%20first%20partial%22&f=false first partial] | |||
==References== | ==References== | ||
{{reflist |refs= | {{reflist |refs= |
Revision as of 21:06, 3 June 2012
Fourier series (music)
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(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
- timbre
- timbre
- first partial
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.