The D'Addario (Rico) H ligature would have been the ligature used in the design phase of their mouthpieces. Full disclosure, I'm a D'Addario performing artist. I was there for beta testing on the select jazz mouthpieces, and I think the H Ligature plays great on just about any mouthpiece, especially at that price point. I recently ordered the Rico (student lig), which is half the price of the H lig, just to check it out and see if it was a viable option for my younger students. I thought that it also played great, but not as rich of a sound as the H. It's also an inverted ligature. I play Woodstone/Ishimori ligatures now of most of my saxophones, but I have h ligatures as back ups as well. And, sometimes they just line up better with certain reeds. They are great.