  We show that symplectic forms taming complex structures on compact manifolds
are related to special types of almost generalized K\"ahler structures. By
considering the commutator $Q$ of the two associated almost complex structures
$J_{\pm}$, we prove that if either the manifold is 4-dimensional or the
distribution ${Im} \, Q$ is involutive, then the manifold can be expressed
locally as a disjoint union of twisted Poisson leaves.
