Not to be cantankerous, but is there an explanation on the "science" behind the Hopewell Method? I'm interested, having just acquired a tuner myself, and am now back home after spending the morning playing with it and the Hopewell Method. From what I just experienced, it reads as "Tuning a rimfire is a blind witch hunt, and this is just a way to roll through many tuner settings without burning excessive ammunition." What's to say that the "ideal" setting isn't buried somewhere in one of the "zones" that the Hopewell Method might lead a shooter to gloss over? That's why I want to know if there is some science behind the method, otherwise... We face an arduous task of testing every single setting on the tuner (about 500 on the Harrell), then adding one weight or the other, perhaps both, and this is only for one brand and lot of ammunition

Just a click or two can turn what seems like a good setting into a poor one (or perhaps the good results leading us to more testing in this zone were merely a fluke). Vertical dispersion is the main focus to try and tune out, you may notice at some nodes that horizontal is added, a sure sign of an unstable tuning zone. The calmest conditions possible should be sought, and a chronograph is indispensable. You need to be able to call your shots, or identify an out of spec round that might contaminate your data (a tuner can only do so much with large velocity swings).
It really seems to just boil down to getting out there and burning ammo while spinning the tuner settings and taking detailed notes. Analyze results, repeat test with settings that looked good, move up/down a few clicks from this spot. There's no other way to know if you are "in tune" than to send lead downrange and observe the results... or is there?
I quite like Geoffrey Kolbe's experiment, attaching a sensor to record muzzle movement in the vertical axis and a muzzle gate to determine the exact moment the bullet left the barrel. This allowed him to graph the barrel movement as the bullet exits the muzzle, and a single shot with this apparatus told him whether or not the barrel was in tune. Further, an "ideal" tune is achieved when the muzzle is moving up at the moment of bullet exit, at a certain rate in MOA per second, specific to the distance being targeted, and muzzle velocity. Kolbe's apparatus displays this important information. It is very curios why nobody else seems to have picked up where he left off, confirmed his results, and expanded on it (chart how barrel movement is modulated through all 500 tuner settings, perhaps?). It would be great if the Lapua, RWS and Eley ammo testing centers utilized this equipment to pair their best lots to the shooter's ideal tuner setting. http://www.geoffrey-kolbe.com/articles/rimfire_accuracy/tuning_a_barrel.htm
It's easy to get lost or overwhelmed when hunting for that "perfect" setting, maybe half the magic is knowing when to say "good enough" at a certain point? If you'd like, I can post a pic of my target showing groups shot following the Hopewell Method. I don't know enough at this point to fully and critically analyze it, but it's information and something to compare your own test results to (not in a competition sense, just how groups tighten and disperse with tuner settings).