Be careful adjusting the display's CMS, they often do a very bad job. Make sure to run saturation sweeps of the primary and secondary colors before and after. You do not want curves in your saturation sweeps. I have never gotten good results from a display's CMS when adjusting primary or secondary colors.
The adjustment is similar to white point, adjust saturation, tint, and luminance to get the dE as low as possible. If you change them while watching HCFR you can see how each option moves the color.