Band calculations for the hole-doped La2CuO4 system show that artificial periodicities of Ba dopants can give the material different properties than from a uniform distribution of dopants. A periodicity within the planes make static pseudogaps, which could be tuned to raise the density-of-states at EF and the superconducting TC. A periodic doping dependence perpendicular to the CuO planes can increase the matrix element for spin fluctuations.