The question is of course an extremely interesting one, but also unsolved. Nobody I am aware of has ever made any real progress with this question or similar ones, because they deal with qualia, the subjective correlates of objective stimuli, which are totally bizarre and mysterious.
The one thing I will say is that colour is not inherent to wavelengths. That is to say, if we suddenly gained capable eyes and underwent the necessary neural rewiring so that we experienced, for example, wavelengths of light five times those we can currently see (these would be heat rays; note this implies we would no longer be able to see "visible light"), there is no reason to think we wouldn't experience the same colours that we do now, purple for the heat with the shortest wavelength, red for the highest, because functionally the situation is the same. If everything in the universe were twice as small and moved twice as slowly, would you feel smaller? Does this question even make sense?
Then again, there's no way of knowing if it's even valid to compare qualia in different instances, or what on Earth they even are or why something so apparently superfluous exists.
 Originally Posted by LikesToTrip
Colored noise is completely unrelated. Colors of noise are combinations of many different frequencies, and they are named with colors based on their properties. However, this naming is just an arbitrary way to differentiate between them. Colors of noise - Wikipedia, the free encyclopedia
Neither black, nor white appear on either end of the visible light spectrum. Black is the absence of light, and white is a combination of multiple different light frequencies. Neither appear in the spectrum at all. The ends are simply nothingness. We can not perceive them, so to us they are nothing.
I don't know why you keep trying to say that the sequence repeats, when you can clearly see that it is not the case.
To answer your initial inquiry. Light outside of the visible light spectrum looks like nothing. It's pretty elementary really.
Light and sound are both waves. Pretty much any quality to can allocate to sound you can also allocate to light. What you're doing is conflating subjective experiences and objective facts. Objectively, light repeats in exactly the same way that sound repeats; sound wavelengths actually get shorter and shorter (physically) as they get higher and higher (mentally), but within the basic difference we also perceive a certain definite sameness in quality as we rise, i.e. a repetition (which we associate with a letter): the objective basis of this is that the wavelength has halved, and this causes resonance. You say that this does not happen with light but there is no empirical basis for that, because compared to sound, the range of light wavelengths we can perceive is much smaller: in fact, it does not double within that range. If it did, subject to the mechanism of sense, we may well experience an element of looping back. There may be a medium red, a high red, a higher red, and so on. Indeed, if you look at the two opposite ends of the spectrum, they do look similar; certainly more alike to each other than they are to green, yet if we only consider how high the wavelength is, it should be the other way around.
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