I took it off of the rigid heddle and put it on the big loom. I started weaving and it looked great, if I do say so myself.
It ended up looking like this:
The homespun is the colored. The store-bought is a non-plied wool that just. Kept. FRAYING!
Deep breath in.
Deep breath out. I'm better now.
So now I have a really short scarf that I think I will put a button on and market as a neck-warmer.
Now I can put the taquete rug on the big loom.
Lesson learned: Don't use a non-plied yarn as warp. Also, weave thin yarns on the rigid heddle loom.