  The Maxwell theory can be written as a first order model with the help of a
two-form auxiliary field, such master action allows the proof of duality
between $1$-form and $D-3$ forms. Here we show that the replacement of the
two-form auxiliary field by an arbitrary (non symmetric) rank-2 tensor leads to
a new massless spin-1 dual theory in terms of a partially antisymmetric rank-3
tensor. In the massive spin-1 case we have a non symmetric generalization of
the massive two-form theory (Kalb-Ramond). The coupling of the massive non
symmetric spin-1 model to matter fields is investigated via master actions.
  We also show that massive models with severe discontinuity in their massless
limit can also be obtained from Kaluza-Klein dimensional reduction of massless
higher rank tensors which become Stueckelberg fields after the reduction.
