Unlikely to be BSB since this 26 tpi for all sizes.
If it is not a special, some possibles might be:
Cycle thread 5/32 x 32 tpi, Whit form. CEI is 60 degree.
It might be an undersize 8 – 32 UNC (0.164 OD x 32 tpi ) again 60 degree form.
M4 would approximate to 0.157 x 36 tpi so unlikely
3 BA is 4.1 mm ( 0.161 0 OD ) x 0.73 mm (34.8 tpi approx ) Pitch. 47.5 degree form.
Howard