  We discuss the impact of the true value of the CP phase on the mass
hierarchy, CP violation, and CP precision measurements at neutrino superbeams
and related experiments. We we use a complete statistical experiment simulation
including spectral information, systematics, correlations, and degeneracies to
produce the results. However, since it is very complicated to understand the
results in terms of a complete experiment simulation, we show the corresponding
bi-rate graphs as useful tools to investigate the CP phase-dependencies
qualitatively. Unlike bi-probability graphs, which are based upon oscillation
probabilities, bi-rate graphs use the total event rates of two measurements
simultaneously as a function of the CP phase. Since they allow error bars for
direct quantitative estimates, they can be used for a direct comparison with a
complete statistical experiment simulation. We find that one can describe the
CP phase dependencies of the mentioned measurements at neutrino superbeam
setups, as well as one can understand the role of the $\mathrm{sgn} (\Delta
m_{31}^2)$-degeneracy. As one of the most interesting results, we discuss the
dependence of the CP precision measurement as a function of the CP phase
itself, which leads to ``CP patterns''. It turns out that this dependence is
rather strong, which means that one has to be careful when one is comparing the
CP precisions of different experiments.
