13:47 here - they're quite soft and feel a bit like cotton, but sturdy unlike some lightweight flatweave cottons. We have a D&A cotton rug too and I prefer the Propylene one underfoot. We have this one in the DR, though in Navy/Tan:
http://dashandalbert.annieselke.com/Rugs/Diamond-Denim-White-Indoor-Outdoor-Rug/p/RDB098. If you can get to Bethesda easily, Urban Country carries samples of their rugs that you can check out for a few days to try at home.