Sulfur adsorbed on Ru(0001) presents a large number of ordered structures. This characteristic makes S/Ru(0001) the ideal system to investigate the effect of different periodicities on the electronic properties of interfaces. We have performed scanning tunneling microscopy/spectroscopy experiments and density functional theory calculations showing that a sulfur adlayer generates interface states inside the Γ directional gap of Ru(0001) and that the position of such states varies monotonically with sulfur coverage. This is the result of the interplay between band folding effects arising from the new periodicity of the system and electron localization on the sulfur monolayer. As a consequence, by varying the amount of sulfur in S/Ru(0001) one can control the electronic properties of these interfacial materials.The structural properties of sulfur adlayers on transition metal surfaces have received a considerable attention due to the very rich phase diagram that results from the substratemediated long-range interaction between the surface adatoms [1][2][3][4]. For sulfur on Ru(0001) (S/Ru(0001)), experimental and theoretical studies [5-11] have reported the existence of different ordered structures of S atoms with commensurate unit cell with the Ru(0001) surface, each one characterized by a well-defined S/Ru ratio and periodicity. In addition to commensurate structures, a plethora of non-commensurate ordered structures, as well as disordered ones, has been found for non-optimal values of the S/Ru ratio. For this reason, S/Ru(0001) surfaces are ideal to analyze the effect of additional periodicities on the electronic properties of interfaces, e.g., through the folding of the electronic bands.Recently, the intercalation of atomic species between epitaxial graphene and various substrates has been used to break the hexagonal symmetry of graphene and to introduce superlattice perturbations to the graphene π electrons in the form of scalar and gauge potentials [15]. This has opened the possibility, e.g., to vary the density and effective