  We prove that all gentle 2-Calabi-Yau tilted algebras (over an algebraically
closed field) are Jacobian, moreover their bound quiver can be obtained via
block decomposition. Related families of gentle $(m+1)$-Calabi-Yau tilted
algebras are the $m$-cluster-tilted algebras of type $\mathbb{A}$ and
$\widetilde{\mathbb{A}}$. For these algebras we prove that a module $M$ is
stable Cohen-Macaulay if and only if $\Omega^{m+1} \tau M \simeq M$.
