John Ayer wrote on Tue, Oct 21, 2014 06:21 PM PDT:
Murray, on page 348, describing Alfonso el Sabio's Grande Acedrex, says that the Aanca (Gryphon) moves one step diagonally, followed by any number orthogonally away from the point of origin. Gollon, on page 92, follows this. I did not find it convenient to go to the library to consult Falkener. If you want to use a piece that moves one step orthogonally, then continues diagonally away from the point of origin, I think it should have a different name.