22 Hornet Rechamber
Tommy, you are right. The .22 Savage uses either .227" or .228" bullets. Finding factory brass will be tough, but it can be formed from other cases (.30-30, for one, if memory serves). When you do this, the neck will often get a little thick for .228" bullets, but will hold .224" bullets with better tension. .22 Hornet uses .223" or .224" bullets (almost all post 1950 guns are .224").
Even if a guy wanted to use .227" or .228" bullets, it could be done in a .224" bore, though you would have to work up loads slowly and watch for pressure signs. The bullet would swage down to the size of the bore and seal off tighter than a bullet of optimum diameter (.224" in this case).
Don't believe me? One day I was at the range and a guy (accidentally) fired a .308 Win. round through his .270 Win. It blew the shoulder of the case completely out, cratered the primer, and split the neck, but the bullet hit paper. The POI was close to the POA, too. I don't advise that you try this, but the difference here is much greater than the difference between a .224" and .228" bullet (.004" vs. .038").