  Taking three right-handed Majorana neutrino masses $M^{}_i$ to be partially
non-degenerate, we make a new analysis of the Fukugita-Tanimoto-Yanagida ansatz
and confront it with current neutrino oscillation data. We determine the
parameter space for cases (A) $M^{}_3 = M^{}_2 \neq M^{}_1$, (B) $M^{}_2 =
M^{}_1 \neq M^{}_3$ and (C) $M^{}_1 = M^{}_3 \neq M^{}_2$, and examine their
respective deviations from the original $M^{}_1 = M^{}_2 = M^{}_3$ case. The
numerical constraints on three light neutrino masses, three neutrino mixing
angles and three CP-violating phases are also obtained, together with the
predictions for the Jarlskog invariant of CP violation and the effective masses
of the tritium beta decay and the neutrinoless double-beta decay.
