I like it. Let me suggest that it be renamed "among" as, grammatically speaking, "between" applies to two things while "among" applies to three or more.
"There is a persistent but unfounded notion that between can be used only of two items and that among must be used for more than two. Between has been used of more than two since Old English; it is especially appropriate to denote a one-to-one relationship, regardless of the number of items."
