I was just reading Peter’s one-sheet for the Gerassic Organ and it says:
“There are three buttons: 1, 2, and 4. When you have buttons 1 and 2 down, you are playing note 3, which you can tune with trimmer pots 3 and 3.”
This implies that you can play the notes associated with trimmers 3,5,6,7 by playing it like a trumpet, where different combinations of the “keys” play different notes.
Have you tried that at all?