  We construct the general four-dimensional N=2 supergravity theory coupled to
vector and vector-tensor multiplets only. Consistency of the construction
requires the introduction of the vector fields dual to those sitting in the
same supermultiplets as the antisymmetric tensors, as well as the scalar fields
dual to the tensors themselves. Gauge symmetries also involving these
additional fields guarantee the correct counting of the physical degrees of
freedom.
