Interesting, George. If you used the diameter to the outside of the template, 1.125", the angle comes out to 13.7, which is about 1.5 degrees less. I guess the proper diameter to use is to the outside diameter.
The gears I have made were never small enough to show the error. But I will change that calculation for future gears.
By the way, nice video! I really like the setup using a mill.
Chuck