Ateco and wilton are the same, Backery crafts is wider. Here there is a German Brand of tips, and the store toldme to worry only on the out diameter size, not in tip numbers. The policarbonate tips are the favorite for chefs, but I don't like them, they are expensive and to big. I prefer metal tips. It's interesting that you want to make a chart of all brands, it would be so useful for that who follow wold wide ideas.