I received the 1.75" balls. The ones that were supposed to be 2" turned out to be standard, 2.25" balls, and now I'm in a dispute with the seller. eBay: caveat emptor!
One of the objects here is to develop a scale table that plays like a big table. By "plays like," I, of course, mean that the ball rolls similarly, in scale, and that it rebounds similarly from the cushions. But there's also this: how much "space" is there on the table? For example, whne we start scaling a 9' table down to 8' Pro, 8', 7', and so forth, and keep the ball the same at 2 1/4", things start to get crowded at the smaller sizes, and the feel of the expanse of the 9' table is lost.
I aim to have some of that expansive feel. Scaling strictly by ball size, the 1 1/2" ball is 2/3 of the 2 1/4" ball, and the 1 3/4" ball is about 3/4 of the 2 1/4" ball (actually 78%). So for a 50x100" table you scale down to 33 1/3 x 67 2/3", and 37 1/2 x 75", respectively.
To make it easier to visualize the "feeling," I came up with the metric of how many balls fit across the width of the playing field. For a 9' table it's 22.2. Then I made this matrix:
My design goal is the 5' table, hence the outline around that row. You can see how different scaled tables will "feel" by comparing values in the matrix. Some interesting correspondences are highlighted.
So, if I choose 5' for the table, you can see that I can have the feel of an 8' table with the 1 1/2" balls, or that of a 7' table with the 1 3/4" balls.
I now think the 2" balls our out. (Interesting, converting an 8' table to 2" balls would give the feel of a 9' table.)