  In the context of remnant CP transformations, I briefly discuss a generalized
$\mu-\tau$ reflection symmetry, where the "Majorana" phases have CP conserving
values, which are directly related with the CP parities of neutrino states.
Also, one finds that the "Dirac-like" CP violation phase is correlated with the
atmospheric mixing angle, giving important phenomenological implications for
current and future long baseline oscillation neutrino experiments.
