A common texturing technique, for use on any kind of loom, is to change the spacing of your warp threads. You can run extra threads through the same heddle (crammed warp) or you can skip a few (spaced warp).
I did a small sampler with the soya yarn I mentioned in my previous post and you can see I did both spacing and cramming:
The crammed warp gives you raised lines which can be subtle or strong depending on the colour/texture of the yarn/s. Spacing the warp – depending on how spaced you go – will give sort of lacy tracks where the weft appears loopier and looser. Again it can be subtle or strong depending on the yarn combinations.
You can see the result better from a distance, so here is that sampler in full:
I like this warp patterning a lot, because it is straightforward and yet gives a wide range of possible results.