How are frequency and wavelength related in a sound wave?

In physics, the frequency ($f$) and wavelength ($\lambda$) of a sound wave are inversely related. This relationship is governed by the speed of the wave ($S$) in a given medium, expressed by the equation:21

$$S=f\times \lambda$$

Because the speed of sound remains constant in a specific medium under uniform conditions, an increase in frequency must result in a proportional decrease in wavelength, and vice versa. Consequently, high-frequency sounds have short wavelengths, while low-frequency sounds have long wavelengths.21

Frequency, measured in hertz, represents the number of wave cycles passing a fixed point per second, which humans perceive as pitch. Because of this inverse relationship, low-frequency sounds with their longer wavelengths are often capable of traveling over greater distances.213