Just made the assumption as was made in Spain for the French Army. I have a digital Caliper I'll take a shot on the calculation!!
Can't really assume anything, when it comes to gun screws. Machine tools were imported from all over, including from the US, in to many European countries, and on top of all the different standards they could have used, like the BA series mentioned above, IIRC, it could also be a total bastard in the truest sense, made to a spec that was decided in the factory, in order that no other screw but a factory or custom made one will work.
Winchester used a lot of screws with a pitch of 31 and 1/2 threads per inch, as one example. It was no big deal, as the factroy machines were set up and pounded out lots at a time, and the holes were threaded with tools made in the same plant. It kept the customer tied to them as a parts source, for one, and it prevented the use of more or less random hardware as a replacement, for the other purpose.
It is always possible that the pitch, the diameter, or both, were completely non-standard, or a mix of different standards (inch pitch on a metric diameter, or vise versa, as an eg.)
One can only be certain by measuring.
Cheers
Trev