Controlling matinee play rate so it matches up with my world Clock

To clarify, what I’m trying to accomplish is, instead of changing how fast or slow the matinee progresses through the sequence (via adjusting the Play Rate), telling the matinee what percentage through the sequence it should be. So in my case, if it’s noon, i can give the matinee 0.5, as some kind of input, and it can change anything I’ve given it control over to the appropriate state (ie: position of sun, color of certain lights, etc).

I am aware that this can be done with Timelines, but I have much more experience with Matinee and if at all possible, I would like to use it.