Tamed symplectic forms and generalized geometry

We show that symplectic forms taming complex structures on compact manifolds are related to special types of almost generalized Kähler structures. By considering the commutator QQ of the two associated almost complex structures J±J±, we prove that if either the manifold is 4-dimensional or the distribution ImQ is involutive, then the manifold can be expressed locally as a disjoint union of twisted Poisson leaves.