We study the limit of D-series minimal models when the central charge tends to an irrational value $c \leq 1$. We find that the limit theory's diagonal three-point structure constant differs from that of Liouville theory by a distribution factor, which is given by a divergent Verlinde formula. Nevertheless, in the limit theory, correlation functions that involve both non-diagonal and diagonal fields are smooth functions of the fields' conformal dimensions. The limit theory is a non-trivial example of a non-diagonal, non-rational, solved two-dimensional conformal field theory.