  We show that the cotilting heart associated to a tilting complex $T$ is a
locally coherent and locally coperfect Grothendieck category (i.e. an
Ind-completion of a small artinian abelian category) if and only if $T$ is
product-complete. We then apply this to the specific setting of the derived
category of a commutative noetherian ring $R$. If $\dim(R)<\infty$, we show
that there is a derived duality $\mathcal{D}^b_{fg}(R) \cong
\mathcal{D}^b(\mathcal{B})^{op}$ between $\mathrm{mod} R$ and a noetherian
abelian category $\mathcal{B}$ if and only if $R$ is a homomorphic image of a
Cohen--Macaulay ring. Along the way, we obtain new insights about t-structures
in $\mathcal{D}^b_{fg}(R)$. In the final part, we apply our results to obtain a
new characterization of the class of those finite-dimensional Noetherian rings
that admit a Gorenstein complex.
