There are proportional formulas on which scale can be based;
The most famous is the Greek "Golden Mean." This is a mathematical formula of great visual elegance. it is arrived at by bisecting a square and using the diagonal of one half of the square as a radius to extend the dimensions of the square to become a "Golden Rectangle." In the proportion arrived at, a:b=c:a. The "Golden Mean" was used by the Greeks to design most of what they built from the classic Greek amphora to the floor plans of the temples and their elevations.

