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Saturation of HSL color space seems a bit unnatural. the color of bright skin points a very high value, even though it looks whitey. maybe Saturation of HSL is just a sub parameter to define Luminosity.

On the contrary, Saturation of HSB seems follow natural sense in my eyes. but Brightness is a bit differ from natural sense. The brightness=255=true white, or the highest saturated color, coz brightness=max(R,G,B).

I suggest to use HSB when your primary thought is Saturation, and use HSL when your primary thought is Luminosity