Disclosed is a method for organizing a substantially uniform system of colorimetry comprising the steps of (i) taking a pseudoinverse of a matrix containing intensity values for an existing non-uniform color-matching functions; (ii) optionally normalizing the pseudoinverse matrix from step (i); (iii) empirically determining an opponency transformation matrix based on a plurality of substantially uniformly spaced color standards; (iv) transforming the matrix from step (ii) to a color opponency color coordinate utilizing the opponency transformation matrix from step (iii) to obtain a Red-Green, Yellow-Blue and Lightness (RG, YB and LT) color matching functions; and (v) transforming the RG, YB and LT color matching functions from step (iv) non-linearly to color matching functions that produce colors recognizable as being uniform by human vision; wherein after step (v) the existing non-uniform color matching functions are transformed into substantially uniform color matching functions.