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Good question. I’m inclined to think it was style and tradition.  Most (orig) rifles have oct. and most smooth and shotguns I’ve seen have round or partially round barrels.  Though most military rifles had round. 

I looked a little in Greener’s book “The Gun and it’s development”. He Has a lot of info on barrel making from the very earliest hand cannon to cartridge guns. But nothing on reasons for shape, I could see.  Octagon allows for more stiffness for the same weight barrel, which might allow less harmonics in a rifle.


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