Enumerating tame friezes over $\mathbb{Z}\mathrm{/}n\mathbb{Z}$

We use a class of Farey graphs introduced by the final three authors to enumerate the tame friezes over $\mathbb{Z}\mathrm{/}n\mathbb{Z}$. Using the same strategy we enumerate the tame regular friezes over $\mathbb{Z}\mathrm{/}n\mathbb{Z}$, thereby reproving a recent result of Böhmler, Cuntz, and Mabilat.