  In this paper we study quantum del Pezzo surfaces belonging to a certain
class. In particular we introduce the generalised Sklyanin-Painlev\'e algebra
and characterise its PBW/PHS/Koszul properties. This algebra contains as
limiting cases the generalised Sklyanin algebra, Etingof-Ginzburg and
Etingof-Oblomkov-Rains quantum del Pezzo and the quantum monodromy manifolds of
the Painlev\'e equations.
