Abstract: An optoelectronic incremental measuring system for measuring lengths or angles comprises a scale member provided with an incremental scale and a scanning unit, which is adjustable along the scale and comprises scanning grids, which are spaced apart by an integral multiple and a fractional part of a scale increment, a plurality of optoelectronic receivers associated with respective ones of such grids, and a plurality of light-emitting diodes, which are associated with the respective grids and adapted to illuminate the associated receiver via the scale and the associated scanning grid. In such a system a movement of the scanning unit and the scale relative to each other will cause the receivers to generate phase-displaced sine signals having periods in a number depending on the number of scale increments traversed by the scanning unit.