Rmetzger,
I'm going to stick my neck out here and say that this is a 7° included angle taper. From a somewhat limited exposure to these, this is sort of a dividing point between self-locking taper and non-locking.
When I worked with these, we used 7° because the tool would self-lock but took a minimum amount of force to loosen it when changing tools. In other words, a more shallow taper, say 4-5° included would lock so tightly that you might destroy a drift removing them. 10-12° would almost fall out and so needed some sort of retainer.
Griffy