1BA
O.D. = 0.2087″ — 28.25tpi
3/16″ BSF — O.D. = 0.1875″ — 32tpi
3/16″ BSW — O.D. = 0.1875″ — 24tpi
7/32″ BSF — O.D. = 0.2188″ — 28tpi
While the 7/32″ BSF thread size is documented there is no BSW thread listed in that size.
A 5mm diameter thread is in the same ball park and has, within a “gnat’s nagger”, a 31.5tpi thread.
These are the likely candidates, there are others and it is not unknown for manufacturers to have their own threads just to make life difficult.