A system and method of calibration, screening, and compensation is presented for multiple gray-level digital presses. Unequal quantization of the input range is employed with compensated overlapping of sub-ranges. Multiple instances of bi-level screening algorithms, tone modification functions, and a recombination algorithm are employed to produce calibrated screening on individual tone ranges. The method works with any bi-level screening algorithm and devices with any number of gray-levels. Quality imaging results from high detail, high tonal accuracy, low screening noise, and lack of printed artifacts. Dynamic re-calibration is facilitated. The elimination of the constraint of evenly spaced gray-levels also has advantages of cost and yield for both print head fabricators as well as digital press manufacturers. Multiple implementations of the system and method are given for both hardware and software embodiments of the invention.