urple, yellow and orange make another split complement, which is the basis of this room's color scheme.
It's important not to get too hung up on the letter of these design rules; it's better to think of them as guidelines. Good design starts with the basics like the color wheel, then plays around from there. In the photo above, what started as a split complement veered off into something else when the designer added red above the fireplace. The red draws attention to the architecture above the fireplace, and it works perfectly.