A rope has a braided sheath that includes a spiraling strand having a greater pitch in comparison with a pitch exhibited by other strands of a coverbraid that encloses that rope's strength member core. The rope is useful for forming pelagic trawl mesh, and is stronger for a given amount of material, has less drag, and exhibits the same or bettered lift when towed through water at trawl mesh angles of attack. The rope also is less costly to manufacture in comparison to known helix rope costructions.