  The energy spectrum of a tight-binding Hamiltonian is studied for the
two-dimensional quasiperiodic Rauzy tiling in a perpendicular magnetic field.
This spectrum known as a Hofstadter butterfly displays a very rich pattern of
bulk gaps that are labeled by four integers, instead of two for periodic
systems. The role of phason-flip disorder is also investigated in order to
extract genuinely quasiperiodic properties. This geometric disorder is found to
only preserve main quantum Hall gaps.
