This work introduces the recent so called Bravais Moiré theory in the context of two dimensional photonic crystals. In particular, new periodic cells involving commensurable bilayer rotated square alignments of photonic crystals with different permittivity constants are considered. The corresponding band gaps are wider than those usually reported in literature for square lattice dielectric structures, and a practical comparison is carried out in the calculation in order to verify such assert. These photonic gaps can be adjusted by changing different lattice parameters, such as the commensurable angle, and the permittivities involved. © 2019 Elsevier B.V.