Sometimes the path of scientific investigation is long and difficult. But every now and again you luck out and find that someone else has already been where you want to go and done the work for you. In this case it is the D'Addario String Co. that has done the work. For some reason they seem to be unique among string manufacturers in that they publish the nominal string tension of every string they make. It is a simple matter to look up this data for each and every string set they produce. If you do that, you'll notice that the tension of each string in a set is pretty much the same. The tension isn't identical mind you, but it is very close across strings in a set. Certainly no side predominates when it comes to string tension. That this should be the case should make sense. A set that varied in tension significantly across the strings would feel strange to the player, with some strings feeling stiffer than others. Also if tension was uniformly higher on one side than on the other, this would tend to bend the neck more on one side than the other which could on some instruments result in a playability problem.

Strings sets from other manufacturers all exhibit this uniformity of string tension across strings, too. There are bound to be odd exceptions of course, based on individual preferences, but as a general rule all strings in a set will be under the same tension when tuned to pitch.