Motivated by questions of unique ergodicity of translation flows, we extend the parallels between Teichmuller dynamics and diophantine approximation by devising generalized logarithmic laws for Teichmuller geodesics and computing the Hausdorff dimension of geodesics with certain escape rates as well as for geodesics with bounded orbits. No knowledge of flat surfaces will be assumed. This is joint work with Luca Marchese (Paris) and Steffen Weil (Tel Aviv).