We use Goerss-Hopkins theory to show that if E is a p-local Landweber exact homology theory of height n and p > n^2 + n + 1, then there exists an equivalence hSpE ≃ hD(E∗E) between homotopy categories of E-local spectra and differential E∗E-comodules, generalizing Bousfield’s and Franke’s results to...