Gauging is a system of measuring the bore of the barrel by the number of round balls the diameter of that barrel's bore, that weigh one pound. A .50 cal. barrel is roughly 37 Gauge in size. ( Actually .501"). But if you are shooting a rifle in .50 caliber, you will probably shoot .490 balls, and those will be about 39 gauge( .492").
Here are the Gauges for common calibers of rifles.
.32 cal. ( .320) - 142 gauge.
.36 cal. ( .360) - 100 gauge.
.40 cal. ( .401) - 72 gauge.
.45 cal. ( .450) - 51 gauge.
.50 cal. ( .501) - 37 gauge.
.54 cal. ( .531) - 31 gauge.
.58 cal. ( .579) - 24 gauge.
.62 Cal. ( .615) - 20 gauge.
.66 cal. ( .662) - 16 gauge.
.69 cal. ( .693) - 14 gauge.
.72 cal. ( .729) - 12 gauge.
.75 cal. ( .751) - 11 gauge
.77 cal. ( .775) - 10 gauge.
.83 cal. ( .835) - 8 gauge( or Bore)
.92 cal. ( .919) - 6 gauge( or Bore)
1.0 cal. ( 1.052)- 4 gauge( or Bore)
1.3 cal. ( 1.355)- 2 gauge( or Bore)
1.7 cal. ( 1.669)- 1 Gauge( or Bore)
Now, as I noted above, about what the gun actually shoots being a round ball that is a few thousandths of an inch smaller than the bore diameter being a different gauge holds true for all the calibers listed above. I did not attempt, obviously to list all possible ball diameters you may use in a given caliber rifle, much less a smoothbore of that diameter! If you have a particular gun, and are shooting round ball, the easiest way to determine the " Gauge " is to weight your round ball, measure its diameter with a caliper or micrometer, so that you have a reference to THIS table, then divide 7000 grains( one pound) by the weight of your ball. The result will be the Gauge of that round ball, whatever size it might be. Don't be surprised to get numbers on the right side of the decimal point. If you check my table, the actual diameters of these " gauges " is close, but not exact for each " Caliber ". They are two different systems of measurement. They were not intended to relate to each other.
The system began when guns meant cannons, and cannons were made by casting the barrel around a mandrill or casting form to create the barrel. ( Think Mortars) Much of the early barrel making was done at foundaries that were already making church bells for hundreds of years, so that the similarity between a " bell " and a mortar, and later a cannon is obvious. When they got around to shooting small, single projectiles, that were not hand cut out of stone, they came up with the gauging system. Remember, that there was no agreed system of weights and measurements until the reign of Henry the Second. Gauging was a system created before we had millimeters, or inches, and fractions thereof. We use calibers, which are measured now in both inches, and millimeters, because they give a more precise measurement needed to create a barrel that can handle the kind of pressures we demand of it today.
MY thanks to Musketman for printing this table here on the forum back in February , 2006. ( Post #234540 )