  Let $\mathbb{X}$ be a weighted noncommutative regular projective curve over a
field $k$. The category $\operatorname{Qcoh}\mathbb{X}$ of quasicoherent
sheaves is a hereditary, locally noetherian Grothendieck category. We classify
all tilting sheaves which have a non-coherent torsion subsheaf. In case of
nonnegative orbifold Euler characteristic we classify all large (that is,
non-coherent) tilting sheaves and the corresponding resolving classes. In
particular we show that in the elliptic and in the tubular cases every large
tilting sheaf has a well-defined slope.
