Another, more complicated, colour difference formula which is better than DE* for evaluating small colour differences is the CMC colour difference formula.
CMC = [(DL* / lSL)^2 + (DC*ab / cSC)^2 + (DH*ab / SH)^2]^0.5where:
SL = 0.040975L* / (1+0.01765L*) unless L < 16 when SL = 0.511
SC = 0.0638C*ab / (1+0.0131C*ab) + 0.638
SH = (fT + 1 - f)SC
where:
f = [(C*ab)^4 / {(C*ab)^4 + 1900)}]^0.5
T = 0.36 + |0.4 cos(hab + 35)|
unless h is between 164 and 345 degrees when
T = 0.56 + |0.2 cos(hab + 168)|
DL* is delta E star etc.For predicting colour differences, the weights l and c are set to unity, and the colour difference is referred to as the CMC(1:1) difference.