I'm pretty sure the fixed B&L scopes were called Balfor, and the variables were Balvar.
Thirty plus years ago I bought a pristine M722 in 257R with a Balvar A and the B&L external adjustable mounts. Kuharsky also made external adjustable mounts for those type of scopes. Still have that rifle. The widow of the owner of that rifle told me he never hunted with the rifle and it was his backup gun that was shot every few years to make sure it was still sighted in.and then put away.
Year after I got it I hunted one afternoon with the rifle and killed an elk and have never hunted with it since. So I've decided the rifle and scope's success rate is 100%.........
Now that I think of it, I believe there was another scope with a slightly different name also, just can't remember it anymore.......
The fix power/magnification Bal- series scopes had names related to the specific magnification;
Baltur = 2.5x
Balfor = 4x
Balsix = 6x
Baleight =8x
I've only seen the Baleight in the A series that were externally adjusted. In the early 1990's I hooked up with the late Fred Warren from Cleveland, OH, who was widely regarded as the leading expert on B&L scopes and mounts at that time. Fred recommended that I should buy all of the Bal- series scopes that I could find at a fair price and send them to B&L's repair center in Compton, CA, for free, expect for shipping, servicing or replacement, since they had an unqualified lifetime warranty. That all came to an abrupt end when the Rodney King riots burned out the B&L facility, destroying all of the repair parts, and Bushnell consolidated repair/replacement activities in Overland Park, KS.