KJP,
Standard jar threads are 5, 6, 8, and 12 threads per inch. The different threads are not geometrically similar. You probably are looking at the standard narrow mouth canning jar. It is 5tpi.
The height of the 5 tpi thread is 0.060". The radius of the thread top is 0.044". The radius of the base corner roots is 0.030" max. The sides of the threads are thirty degrees from vertical.
I suggest you follow winchman's suggestion. They are a bear to turn.
By the way, Mom worked in a glass house (factory) for 35 years. Dad was in a glass house for 46 years. I worked there until the entire industry was legislated to death, and sold out. It is called a house because it is your home. I would walk barefoot over hot coals to go back to that hell of a glass house. The work was insane, but it beats making televisions. The people that worked there were also much better. Political corectness was not tolerated in our little hell on earth. After a while you have no fear of hell. You work there, get a decent paycheck, and you know just what the boss is. Everything else just falls in to place.