Could it be an Alpa? I think it is a SLR mount because I dont see any rangefinder coupling.. But I dont know if the timing is correct for that type on lens on an alpa.
I'd try to put the lens on a bellows with a ground glass back and try to measure the register length when the lens focuses to infinity. That will help figure it out.
Well since I don't have an Exakta, I'll be posting it for sale soon enough. I'll get some more pics. Hopefully someone will want it. Thanks for all the help!