How are the CIE coordinates calculated?  

Step 1:

The source spectrum is multiplied by the tristimulus response curves. These may loosely be thought of as the red (x), green (y), and blue (z).

The area under each of the resulting curves is calculated to give tristimulus values (x,y,z).      

The tristimulus values are normalized (force x +y + z = 1) to generate the CIE coordinates.

Step 4:

A line is drawn from the Illuminant E (white light source)  to the x,y coordinates of the emitter then extended through to the CIE locus (edge of the CIE curve). 

Step 5:

The location where the line intersects the CIE locus gives the Dominant wavelength ld.

Step 6:

The ratio between the length of line from Illuminant E to the emitter's x,y coordinates (L') and the length of the line from Illuminant E to the CIE locus (L) gives the color Saturation.

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