  In this paper we first study clusters in type $\tilde{\mathbb{A}}$ by
collecting them into a finite number of infinite families given by Dehn twists
of their corresponding triangulations, and show that these families are counted
by the Catalan numbers. We also highlight the similarities and differences
between the annuli diagrams used to study clusters and those used to study
exceptional sets in type $\tilde{\mathbb{A}}$. We then focus on exceptional
collections (sets) of modules over path algebras of quivers by first showing
that the notion of relative projectivity in exceptional sets is well defined.
We finish by counting the number of exceptional sets of representations of type
$\mathbb{A}$ quivers with straight orientation and using this to count the
number of families of exceptional sets of type $\tilde{\mathbb{A}}$ with
straight orientation.
