Let T be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring A, and let B be the endomorphism ring of T. In this paper, we prove that if T is good then there exists a ring C
Nearby in the stack
, a homological ring epimorphism
B C
and a recollement among the (unbounded) derived module categories
C
of
C
,
B
of
B
, and
A
of
A
. In particular, the kernel of the total left derived functor
T⊗BL−
is triangle equivalent to the derived module category
C
. Conversely, if the functor
T⊗BL−
admits a fully faithful left adjoint functor, then
T
is a good tilting module. We apply our result to tilting modules arising from ring epimorphisms, and can then describe the rings
C
as coproducts of two relevant rings. Further, in case of commutative rings, we can weaken the condition of being tilting modules, strengthen the rings
C
as tensor products of two commutative rings, and get similar recollements. Consequently, we can produce examples (from commutative algebra and
p
-adic number theory, or Kronecker algebra) to show that two different stratifications of the derived module category of a ring by derived module categories of rings may have completely different derived composition factors (even up to ordering and up to derived equivalence),or different lengths. This shows that the Jordan-Hölder theorem fails even for stratifications by derived module categories, and also answers negatively an open problem by Angeleri-Hügel, König and Liu.