  We report temperature-dependent transport and x-ray diffraction measurements
of the influence of Ti hole doping on the charge density wave (CDW) in
1T-Ta(1-x)Ti(x)S(2). Confirming past studies, we find that even trace
impurities eliminate the low-temperature commensurate (C) phase in this system.
Surprisingly, the magnitude of the in-plane component of the CDW wave vector in
the nearly commensurate (NC) phase does not change significantly with Ti
concentration, as might be expected from a changing Fermi surface volume.
Instead, the angle of the CDW in the basal plane rotates, from 11.9 deg at x=0
to 16.4 deg at x=0.12. Ti substitution also leads to an extended region of
coexistence between incommensurate (IC) and NC phases, indicating heterogeneous
nucleation near the transition. Finally, we explain a resistive anomaly
originally observed by DiSalvo [F. J. DiSalvo, et al., Phys. Rev. B {\bf 12},
2220 (1975)] as arising from pinning of the CDW on the crystal lattice. Our
study highlights the importance of commensuration effects in the NC phase,
particularly at x ~ 0.08.
