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==========================================

You asked for more color sets. These are all of the named colors recognized by the multiple browsers that I checked. They can be split into sets in so many different ways that it would be almost impossible for someone else to provide sets exactly as you want them. I hoped that you could group similar names to provide what you want.

Alternately, you could group by first, second, or third pair in their hex codes and sort by what's left to sequence through similar colors.

It might be better to cycle through HSI codes instead of RGB if you want similar colors in each group. 
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