Motivated by recent developments in the computation of periods for str
ing compactifications with c = 9, we develop a complementary method wh
ich also produces a convenient basis for related calculations. The mod
els are realized as Calabi-Yau hypersurfaces in weighted projective sp
aces of dimension four or as Landau-Ginzburg vacua. The calculation re
produces known results and also allows a treatment of Landau-Ginzburg
orbifolds with more than five fields.