If you know the chromaticity coordinates of your display's primaries and its white you can compute the linear transformation easily. The YIQ color solid is formed by a linear transformation of the RGB cube. It was for an aesthetic purpose, accessing color by family, purety and intensity rather than by its component. The H value is a 360 degree value through color families. Greater is S, the purest is the color.
More V is great, more the color is close to white.
The HLS model is in some fashion a boosted HSV model. It forms a dodecahedron formed by two Hexcone base to base, with one shrap point black, and with the other white.