If you look closely you will see that my octagon barrels have a short round cylinder section at the breech. I design and draw each barrel specific to the project and have them machined from a rifled blank to my specs. The one on the Low Wall is lighter than a #2 Winchester profile and is 24" long.
It has been a challenge to find folks to machine the blanks and there is no one I could suggest, even in the US at the moment. I'm open to suggestions of someone that is currently offering octagon barrel contouring.
As I remember a #3 Winchester profile is something near an inch across the flats at the breech and makes a very heavy barrel as was the norm in the era of the gun's manufacture.
Another Low Wall with a similar contour.