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Whiteness scales

Since whiteness is a subjective quality where preferences vary there is difficulty in agreement as to what is the preferred white. However, there are several 'whiteness' scales:

The whiteness index per CIE is equivalent to the whiteness index published in ASTM Method E313 in 1998

WI CIE = Y + 800(xn - x) + 1700(yn - y) = WI ASTM


where Y, x, y are the luminance factor and chromaticity coordinates of the specimen, and xn and yn are the chromaticity coordinates for the standard illuminant and source used. These are given in the table below based on the illuminant and observer used.


Value C/2º D50/2º D65/2º C/10º D50/10º D65/10º
xn 0.3101 0.3457 0.3127 0.3104 0.3477 0.3138
yn 0.3161 0.3585 0.3290 0.3191 0.3595 0.3310


Another way to measure whiteness is to calculate the distance from a 'perfect' white (i.e. Y=100, a=0, b=0) by using a colour difference equation such as CIELab as follows:


where p = CIE purity.  Chemstrand scale