BigEZ77, you may find it helpful to understand how we generally talk about light in the hobby since we tend to flip back and forth between describing light using Kelvins(which is actually a measure of temperature), color, and wavelength/frequency. There is a relationship between them all but it is not generally apparent to newcommers, it wasn't to me anyway.
Color, as our eyes discern it, can be generated by a specific wavelength of light or, a combination of wavelengths that when combined, produce what appears to our eyes as a specific color. So when we talk about 10000k, 20000k 6500k, whatever, we are descibing the overall color appearance of the light from a combination of wavelengths, not a specific single wavelength. 20000k is going to apear blueish, 10000k is whiteish, 6500k is yellowish. We make some general assumptions regrading what wavelength of light is coming from certains kelvin ratings but we can't be sure without looking at a spectral image of the light being produced. two different 10000k lights can have very different combinations of wavelengths.
Ron Reefman notes specific ranges of light wavelengths that are helpful, others refer to kelvin ratings which is description of overall color appearance. Coral growth, as I have read the research, is typcally associated with light in the 400nm - 500nm and 630nm-670nm range which is constsitent with what Ron is saying.
When you ask, "where in the light spectrum would my corals do best", which is a very good question, you are asking a wavelength question. The answer can be different whether you are more concerned about growth or coloration so "best" is a matter of what's most important to you. Of course most of us want both so we try to find a range of wavelengths that produce good color as well as growth while minimizing the wavelengths that are less useful for either of these such as yellow/orange/green.
So in summary, the point I am trying to make is that in my opinion, focusing on the light wavelengths is more useful than focusing on kelvin value.