As is generally known, the diameter of the shank of a cornet is smaller than that of a trumpet. Most Schilke models are available for both the trumpet and cornet. In general, a slightly larger cup and throat favors the cornet tone.
One of the more popular mouthpieces, the 14A4a offers a shallow "A" cup, semi-flat #4 rim and tight "a" backbore which allows a player a strong upper register without sacrificing tonal production. Silver Plate Finish