On what factors does the frequency of sound depend in wind instruments?
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When working with waves the wavelength and frequency (pitch) are inversely related. Sound waves have the relation frequency times wavelength equal the speed of sound. Wind instruments are using the longitudinal dimension of air in the instrument as a medium like a "string". In both the string and wind instruments, shorter wavelengths in the excited medium (string or column of air) emit higher frequencies. The exact notes are determined by the choice of valves causing different resonances, much like the action of fingers on the string changing the effective length of the strings.
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