There are a lot of scripts involved so I'm just going to give a generalized description of the process.
First, a 1x1 square tile is created. Second, that tile is placed out of the way, and 16 x 10 (160) new tiles are created starting at the (0,0) position and building outward in positive numbers. Now, the camera is a 16:10 display. At this point, I wanted to scale up the tiles. If I want to scale the map up I start by scaling the camera by 100, and then I scale the tiles, and align their position (edge to edge). At this point, scaling the tiles by 100 seems logical, but that didn't work correctly, for some reason. Scaling by 50 almost works, but the resolution is no longer a 16:10 grid like it was before the scaling.
What am I doing wrong? I am using Unity.