The LA TROMBA "P" (piccolo) mouthpieces:

Designed for piccolo trumpets with small so called "Cornet shank".

Available only in light version
Are especially advantageous with Schilke piccolo trumpets and other trumpet designs with small (Cornet-size) mouthpiece receivers. 

The  LA TROMBA "H" (high) H- (minus) and H 2- trumpet mouthpieces:
Available in light, middle and heavy versions

Designed with progessively flatter cups from H>, H->, H2->, to Standard and smaller Back-bores for more support in the high register.

Especially advantageous for piccolo trumpets with large lead pipes