I like your concept, but I didn't have a domino set to play with...
How do you intend to rotate through the tables? First domino you use 1 to 6, second domino 7 to 12, etc. ?
I like the images you used to illustrate it.
That's exactly the cycling dynamic I had in mind. But it's a teenie little tool, I invite you to make it into whatever you need it to be!