The visible light spectrum is from roughly 400nm to 700nm. As it increases from 400nm to 700nm the following are the visible spectrum we see in the exact order: violet, blue, green, yellow, orange, red. When we talk about K, that is Kelvin rating. The temperature to which a black object burns in terms of Kelvin rating is the color we actually see. A 6500K bulb is more on the orange/yellow side we see. A 10K bulb is more on the yellow/white side. A 14K is white/blue. 20K is more on the blue spectrum.
Generally speaking bulbs with a lower K value-i.e. 6500K put more PAR(photosynthetically active radiation) into the water. PAR is what makes corals grow. The more PAR the faster they will grow. But generally speaking bulbs with a lower K value don't give corals as much color/fluorescence as a higher K bulb will. A higher K bulb-i.e. 20K will put less PAR into the water(slower growth of corals), but the corals will generally show more colors and fluorescence. So it's really a tradeoff between color and growth, depending on what you want. Also bulbs on the lower end of the K rating generally have a less dramatic spectrum shift over their life, and as such they last longer. I personally run 10K MH's with VHO super actinics.