I think the Kona Snow is the premium muslin. Correct me here if I am wrong. I much prefer the hand of the Kona muslin to that of Kona Cotton. I think it is rough to the touch. I want my quilts to be cuddly, not rough. I know some like the Kona Cotton because it is thicker, but I just don't like it. Washing hasn't ever made it softer for me.