  We introduce a notion of mutation for $\tau$-exceptional sequences of modules
over arbitrary finite dimensional algebras. For hereditary algebras, we show
that this coincides with the classical mutation of exceptional sequences. For
rank two algebras, we show that mutation of $\tau$-exceptional sequences is
transitive if and only if mutation of support $\tau$-tilting modules in the
sense of Adachi-Iyama-Reiten is transitive.
