  We present the dual formulation of double field theory at the linearized
level. This is a classically equivalent theory describing the duals of the
dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D)
covariant way. In agreement with previous proposals, the resulting theory
encodes fields in mixed Young-tableau representations, combining them into an
antisymmetric 4-tensor under O(D,D). In contrast to previous proposals, the
theory also requires an antisymmetric 2-tensor and a singlet, which are not all
pure gauge. The need for these additional fields is analogous to a similar
phenomenon for "exotic" dualizations, and we clarify this by comparing with the
dualizations of the component fields. We close with some speculative remarks on
the significance of these observations for the full non-linear theory yet to be
constructed.
