  We propose a neutrino mass model with $\mu\tau$-flavored CP symmetry, where
the effective light neutrino Lagrangian enjoys an additional invariance under a
Friedberg-Lee (FL) transformation on the left-handed flavor neutrino fields,
that leads to a highly predictive and testable scenario. While both types of
the light neutrino mass ordering, i.e., Normal Ordering (NO) as well as the
Inverted Ordering (IO) are allowed, the absolute scale of neutrino masses is
fixed by the vanishing determinant of light Majorana neutrino mass matrix
$M_\nu$. We show that for both types of mass ordering, whilst the atmospheric
mixing angle $\theta_{23}$ is in general nonmaximal ($\theta_{23}\neq \pi/4$),
the Dirac CP phase $\delta$ is exactly maximal ($\delta=\pi/2,3\pi/2$) for IO
and nearly maximal for NO owing to $\cos\delta\propto \sin\theta_{13}$. For the
NO, very tiny nonvanishing Majorana CP violation might appear through one of
the Majorana phases $\beta$; otherwise the model predicts vanishing Majorana CP
violation. Thus, despite the fact, that from the measurement of $\theta_{23}$,
it is difficult to rule out the model, any large deviation of $\delta$ from its
maximality, will surely falsify the scenario. For a comprehensive numerical
analysis, beside fitting the neutrino oscillation global fit data, we also
present a study on the $\nu_\mu\rightarrow \nu_e$ oscillation which is expected
to show up Dirac CP violation in different long baseline experiments. Finally,
assuming purely astrophysical sources, we calculate the Ultra High Energy (UHE)
neutrino flavor flux ratios at neutrino telescopes, such as IceCube, from which
statements on the octant of $\theta_{23}$ could be made in our model.
