  Let $T_R$ be a right $n$-tilting module over an arbitrary associative ring
$R$. In this paper we prove that there exists a $n$-tilting module $T'_R$
equivalent to $T_R$ which induces a derived equivalence between the unbounded
derived category $\D(R)$ and a triangulated subcategory $\mathcal E_{\perp}$ of
$\D(\End(T'))$ equivalent to the quotient category of $\D(\End(T'))$ modulo the
kernel of the total left derived functor $-\otimes^{\mathbb L}_{S'}T'$. In case
$T_R$ is a classical $n$-tilting module, we get again the Cline-Parshall-Scott
and Happel's results.
