  In this short paper, we study $n$-representation-finite algebras from the
viewpoint of the fractionally Calabi-Yau property. We shall show that all
$n$-representation-finite algebras are twisted fractionally Calabi-Yau. We also
show that for any $\ell>0$, twisted $\frac{n(\ell-1)}{\ell}$-Calabi-Yau
algebras of global dimension at most $n$ are $n$-representation-finite. As an
application, we give a construction of $n$-representation-finite algebras using
the tensor product.
