  We describe some interesting graded rings which are generated by degree-3
elements inside the Sklyanin algebra S, and prove that they have many good
properties. Geometrically, these rings R correspond to blowups of the Sklyanin
P^2 at 7 or fewer points. We show that the rings R are exactly those
degree-3-generated subrings of S which are maximal orders in the quotient ring
of the 3-Veronese of S.
