Subharmonic
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Subharmonic frequencies are frequencies below the fundamental frequency of an oscillator in a ratio of 1 / x. For example, if the fundamental frequency of an oscillator is 440 Hz, sub-harmonics include 220 Hz (1/2) and 110 Hz (1/4). Thus, they are a mirror image of the harmonic series.
Subharmonics can be produced by signal amplification through loudspeakers.[1] They are naturally produced by bells, giving them their distinct sound.
String quartets by composers George Crumb and Daniel James Wolf as well as works by violinist and composer Mari Kimura require string instrument players to bow with sufficient pressure that the string vibrates in modes with frequencies corresponding to subharmonics.[2] It is also possible to produce several subharmonics on the saxophone in a similar way to producing regular harmonics.
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[edit] References
- ^ Barry Truax, ed (1999). Handbook for Acoustic Ecology. World Soundscape Project, Simon Fraser University.
- ^ Edward Rothstein (April 21, 1994). "A Violinist Tests Limits In Music Of Her Time". New York Times. http://homepage.mac.com/marikimura/MAIN/NYTimes1994.html. Retrieved 2008-09-15.
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