  We calculated the phase diagram of a continuous system of hard spheres loaded
in a quasi-one dimensional bichromatic optical lattice. The wavelengths of both
lattice-defining lasers were chosen to model an incommensurate arrangement.
Densities of one particle and half a particle per potential well were
considered. Our results can be compared directly to those of the experimental
system [Fallani et al. PRL, {\bf 98} 130404 (2007)] from which our initial
parameters were taken. The phase diagrams for both densities are
significatively different to those obtained by describing the same experimental
setup with a Bose-Hubbard model.
