During most the year I keep my tarp ridge line over the tarp. But in the winter around here (Central Oregon) we have snow and not so much rain. In a snow situation, in order to give the tarp a bit more support, I run the ridge line under the tarp. There is no concern about water running down the cord, but a heavy snow can load up the tarp.
I was thinking about the main concern - beside water path - of wear against the seam sealer and remembered that a lot of the climber webbing is hollow. You usually don't see it that way because they seal it when they cut it. But you could ask them to seal it "open", and get a piece about the length of your tarp ridge line. You could run your ridge line cord through it and it would be flatter - less wear - against the underside to the tarp.
Then I thought - why bother with that at all. I could just buy some narrow flat webbing (think climbing slings) and size it so I can connect it end to end under the tarp in the winter. Now I can rig the tarp as usual - with the cord above - but in the winter I can also attach this length of narrow webbing under the tarp ridge line. It will give more support to the tarp in case of snow load, but being flat, will will not be so abrasive to the seam seal.
That's the idea at least. Any material scientists out there want to chime in - is the abrasion difference between the flat webbing vs round negligible?
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