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Experimenting with musical intervals

Michael C LoPresto 2003 Phys. Educ. 38 309-315   doi: 10.1088/0031-9120/38/4/303  Help

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Michael C LoPresto
Henry Ford Community College, Dearborn, Michigan, MI 48128, USA
E-mail: lopresto@hfcc.net

Abstract. When two tuning forks of different frequency are sounded simultaneously the result is a complex wave with a repetition frequency that is the fundamental of the harmonic series to which both frequencies belong. The ear perceives this 'musical interval' as a single musical pitch with a sound quality produced by the harmonic spectrum responsible for the waveform. This waveform can be captured and displayed with data collection hardware and software. The fundamental frequency can then be calculated and compared with what would be expected from the frequencies of the tuning forks. Also, graphing software can be used to determine equations for the waveforms and predict their shapes. This experiment could be used in an introductory physics or musical acoustics course as a practical lesson in superposition of waves, basic Fourier series and the relationship between some of the ear's subjective perceptions of sound and the physical properties of the waves that cause them.

Keywords: High school, Advanced, Waves/light, Laboratory work

Print publication: Issue 4 (July 2003)
Received 14 February 2003, in final form 12 May 2003

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