  We generalize the Tamari lattice by extending the notions of $231$-avoiding
permutations, noncrossing set partitions, and nonnesting set partitions to
parabolic quotients of the symmetric group $\mathfrak{S}_{n}$. We show
bijectively that these three objects are equinumerous. We show how to extend
these constructions to parabolic quotients of any finite Coxeter group. The
main ingredient is a certain aligned condition of inversion sets; a concept
which can in fact be generalized to any reduced expression of any element in
any (not necessarily finite) Coxeter group.
