Abstract: Gray scale levels are converted to pseudo halftone print by a pseudo halftone generator which reduces Moire effects. The generator includes a comparator and an incrementing cyclic counting mechanism to compare the gray scale level to the cyclicly generated reference count for each print position in a print line to generate a print signal upon the level being greater than the count. The cyclicly generated count is incremented by a preselected number N for each print position and recycles at the square of that number (N.sup.2). The square value may also be selected as the maximum level of the gray scale range. N adjacent print lines may be grouped together to form a series of (N.times.N) matrices. The reference or lowest count value for each of the lines in a matrix is different and they range from zero to N-1. The arrangement of the lines in the matrix is such as to minimize the difference between the sums of the count element values for any two adjacent print lines.