The wavelength and period of sound increase as the frequency of sound increases:

Concept: Period is defined as the time it takes for one complete wave to pass, so $f( \mathrm{Hz})=\frac{1}{T}$As a result, as frequency increases, period decreases.
$\left(\mathrm{s}\right)$
Second, the wave equation, $v=f\times \lambda$, implies that any increase in frequency must result in a decrease in wavelength if v remains constant.
As a result, as frequency increases, the wavelength decreases.