Is there a "correct" way to find the center of a single-color string?

So, I am in an unexpected situation. I bought a bow second-hand, and unsurprisingly, it did not come with a peep. However, more surprisingly, it didn't have the little bit of string for splitting it. And, unhelpfully, the string is a single color.

Is there a way to find which strands should go on which side of the split? Or does it not even matter as long as its split evenly?