RE: Odd vs. Prime and Lattice Diagrams

Joe Monzo wrote,

>Paul Erlich, did you ever consider the fact
>that the relationships between ratios which
>are so elegantly portrayed in your triangular
>lattice diagrams are the result of nothing other
>than prime factorization?

The assertion in that question makes no sense to me, but Paul Hahn
generously replied,

>This doesn't mean all that much--I'm still struggling with the 7-limit,
>but if I were to work in 9-limit or higher, I'd probably prefer to
>diagram the 9s with a separate axis, and have one of the unison vectors
>be (2 0 0 -1), to reflect my odd-limit orientation. Of course this
>would be much easier if I were a five-dimensional being who could buy
>4-dimensional graph paper.

I'd have to agree with Paul H., but wonder if there is something to
Joe's question that he wasn't expressing as well as he would have liked?