An assembly including a substrate and a scale held on the substrate, wherein the scale has a measuring graduation, and the scale is held on the substrate by pneumatic suction. The scale is braced on the substrate via two-dimensionally distributed, spaced-apart supports, which are disposed facing a measurement area defined by the measuring graduation and wherein adjacent ones of the supports are spaced apart from one another at a mutual period that is less than a thickness of the scale. In addition, the supports have a structure such that a connection by optical contact bonding between the supports and the scale and/or between the supports and the substrate is prevented at least in the measurement area. A space between the scale and the substrate is sealed off from surroundings by a sealing structure.