The subject matter of the study is the Palladian language and especially the language of the Palladian villas as it has proposed by Stiny and Mitchell (1978a) and automated by Grasl and Economou (2014). The goal of the study is to show how a complex design language (sets of designs) can be captured and constructed in a shape grammar interpreter. The output of the computation here is the automated pictorial enumeration of a number of Palladian villas encoded in the Grape software. All designs are based on the complete catalogue of the Palladian partis on the 5 x 3 cell-size (Stiny and Mitchell, 1978b). Clearly for any parti there are several proportional schemes that can apply to it and for any of these proportional schemes there are several architectural designs that can be generated with respect to specific architectural elements used in the production, namely, porticoes, loggias, wall inflections, colonnades and so forth. Out of all these possible designs, only one is chosen here to instantiate each underlying parti.