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Why do high-frequency sound waves have shorter wavelengths?

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Watch a suspended vibrating spring to learn about the propagation of sound waves — sound Learn about the propagation of sound waves from a point source by observing the motion of a suspended vibrating spring.

High-frequency sound waves have shorter wavelengths because of the fundamental relationship between a wave's frequency, its wavelength, and the speed at which it travels through a medium.

The speed of a sound wave ( $S$ ) is constant for a given medium and is defined by the product of its frequency ( $f$ ) and its wavelength ( $λ$ ):
$S = f \times λ$

Because the speed of sound remains constant in a specific medium, frequency and wavelength are inversely proportional. As the frequency increases—meaning more wavelengths pass a specific point per second—the wavelength must decrease to maintain that constant speed. Consequently, high-frequency sounds, which are perceived as having a higher pitch, necessarily correspond to shorter distances between the wave's pressure variations.1