  Many neutrino mixing scenarios that have \mu-\tau symmetry with \theta_{13}=0
are in disagreement with recent experimental results that indicate a nonzero
value for \theta_{13}. We investigate the effect of small perturbations on
Majorana mass matrices with \mu-\tau symmetry and derive analytic formulae for
the corrections to the mixing angles. We find that since m_1 and m_2 are nearly
degenerate, \mu-\tau symmetry mixing scenarios are able to explain the
experimental data with about the same size perturbation for most values of
\theta_{12}. This suggests that the underlying unperturbed mixing need not have
\theta_{12} close to the experimentally preferred value. One consequence of
this is that a new class of models with \mu-\tau symmetry is possible, with
unperturbed \theta_{12} equal to zero or 90 degrees for arbitrary unperturbed
\theta_{13}.
