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Let $C$ be a crystal and $\phi$ be a periodic realization of it in$\mathbb{R}^n$, also let $L$ be the lattice group of $\phi(C)$ which preservesthe covering space nature of crystal lattices. In this article, firstly, wedefine the concept of acoustic spectrum of the crystal lattice C and thenprovide the algebraic formalism of the question of finding the frequencies ofthe torus $\mathbb{R}^n/L$, when the set of acoustic spectrum is known. Ananswer for crystals with uniform atomic force constants is given.

Hearing the Symmetries of Crystal Lattices from the Integrated Acoustic Spectrum