I have been putting my own barrels on my x-course rifles and hunting rifles and to my knowledge have never chambered off center, I always use piloted reamers and assumed they would follow the bore perfectly and always have. I picked up a barrel on ebay 28 inches long and chambered in 7br and wanted to chamber it in 284. The barrel had the most interesting case of chamber chatter I have ever seen it probably had 30 serations in the chamber 15 thou deep, It looked like a strange box end wrench. After confering with the reamer maker who thought I could send the 284 reamer in the hole and not suffer any reaccuring chatter so I chose a proper fitting pilot and comenced to chamber the barrel and had no problems with chatter. After putting it on the rifle I looked down the bore with the scope and the chamber is not centered with the bore, one side of the leads are farther out than the other .The only thing I can think of is the chattering chamber went astray and aperently the reamer will follow the old hole with or without a tight fitting pilot. just wanted to let others know so they don't have this problem