  The residual symmetry approach, along with a complex extension for some
flavor invariance, is a powerful tool to uncover the flavor structure of the
$3\times3$ neutrino Majorana mass matrix $M_\nu$ towards gaining insights into
neutrino mixing. We utilize this to propose a complex extension of the real
scaling ansatz for $M_\nu$ which was introduced some years ago. Unlike the
latter, our proposal allows a nonzero mass for each of the three light
neutrinos as well as a nonvanishing $\theta_{13}$. A major result of this
scheme is that leptonic Dirac CP-violation must be maximal while atmospheric
neutrino mixing need not be exactly maximal. Moreover, each of the two allowed
Majorana phases, to be probed by the search for nuclear $0\nu \beta\beta$
decay, has to be at one of its two CP-conserving values. There are other
interesting consequences such as the allowed occurrence of a normal mass
ordering which is not favored by the real scaling ansatz. Our predictions will
be tested in ongoing and future neutrino oscillation experiments at T2K,
NO$\nu$A and DUNE.
