  As it is very promising to expect a discovery of CP violation in the leptonic
sector, the precision measurement of the Dirac CP phase $\delta_\text{CP}$ is
going to be one of the key interests in the future neutrino oscillation
experiments. In this work, we examine the physics reach of the proposed medium
baseline muon decay experiment MOMENT. In order to identify potential
bottlenecks and opportunities to improve CP precision in MOMENT, we investigate
the effect of statistical error, systematic uncertainties, fraction of the muon
beam polarity, and adjusting the baseline length to match the first or second
oscillation maximum on the precision measurement of $\delta_\text{CP}$. We also
simulate superbeam experiments T2K, NO$\nu$A, T2HK, DUNE and T2HKK in
comparison and complementary to MOMENT. To reach the precision of
$\delta_\text{CP}$ at 12$^\circ$ or better at 1$\sigma$ confidence level, we
find it sufficient to combine the data of MOMENT, DUNE and T2HK.
