You say that you are putting a circle patch on a rod? You mean jag?
The rod should be able to freely enter the barrel.
Some say that you shouldnt use a 22cal rod in a 30 cal barrel because it can bend and deflect that much more and to keep it a tight fit. I say screw that, Ill buy one 22 cal rod and just use it in everything I have. My point is that the rod shouldnt be what is introducing resistance.
If you meant j dewey jag, do you have the pointy style?
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The pointy style you can (
should) stick the
properly sized circle patch in the middle and go.
Or the rounded parker hale style?
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The rounded type is intended to wrap the patch around as if you were rolling a cigarette.
Personally, I use the parker hale and roll the square patch around. I bought 30 cal square patches, they are too tight in my smaller barrels but I can just cut a 1/4-1/2" off, however much is needed, to fit in the smaller caliber barrels.
Really though all you need to do is cover the brass jags that are sharp and pointy so that they dont scrape on the barrel, the patch should be what is actually making contact with the barrel. How you get to that point is different for every person depending on what they bought and what they actually needed.