1. A method for calibrating a digital color imaging device to a printing press by determining a plurality of distribution functions for a plurality of multi-hue colorants, the method comprising: printing a test pattern comprising a plurality of patches, each patch comprising a plurality of colorimetric values; measuring a plurality of colorimetric values for each patch including at least a first shade of a colorant and at least one additional shade of said colorant; calculating a first tonal response of said range of hues of said colorant from said measured colorimetric values; calculating at least one additional tonal response of said at least one additional range of hues of said colorant from said measured colorimetric values; calculating a tonal response of said printing press; calculating a first distribution over a first range of input values; calculating a second distribution over a second range of input values; creating a table of tonal responses including said first range of input values and said second range of input value; and calculating a normal distribution including the full range of input values.