An improved shingle mask is provided for use on ink jet printers which use multi-pass printing (shingling) to form bitmap images. The shingle mask is derived from a shingle mask density distribution which exhibits a substantially trapezoidal shape; the shingle mask density distribution is derived from an accumulated shingle mask distribution (also referred to as a “banding profile”) having an overall shape of a plateau portion and a substantially smooth decreasing portion, which reduces the number of drops to be printed along the outermost edges of the mask on each swath. This shape reduces banding effects by effectively increasing a number of printed-density bands which are decreased in size, while at the same time not increasing the number of printhead passes over a given area on the print media (which otherwise would negatively impact printed throughput).