  Exchange $\mu-\tau$ symmetry in the effective Majorana neutrino mass matrix
does predict a maximal mixing for atmospheric neutrino oscillations asides to a
null mixing that cannot be straightforwardly identified with reactor neutrino
oscillations mixing, $\theta_{13}$, unless a specific hierarchy is assumed for
the mass eigenstates. Otherwise, a non zero value for $\theta_{13}$ is
predicted already at the level of an exact $\mu-\tau$ symmetry. In this case,
solar neutrino mixing and scale as well as a corrected atmospheric mixing do
arise from the breaking of the symmetry. I present a mass matrix texture
proposal for normal hierarchy that realizes this scenario, where the smallness
of $\tan\theta_{13}$, is naturally given by the parameter
$\epsilon\approx\sqrt{\Delta m^2_{sol}/\Delta m^2_{ATM}}$. The texture also
allows for the introduction of CP violation within the expected region without
further constrains.
