I talked to bill about this a couple of years ago and then I spoke with a person who deals in harmonics and he agreed completely with what bill said. Bill may not explain the exact terms properly but it's still easily understandable. One qustion I have for some....why does a tuning fork not need tuning in different atmospheric conditions? Once it is set, it stays that way and that is why if a tuned barrel is right, it does not need adjusting. It is also why with Bills method (the most effective method) the weight has to be past the end of the muzzle. Both before and past the crown (the tuner) will oscillate but the point at the crown will be a dead spot (as bill calls it, Stopped), thus different atmospheric conditions (to a point) will have no effect, just like a tuning fork. Kind of like the harmoic spots on a guitar, why don't they ever change place, even in different atomspheric conditions?
However, there is a lot more to rifle accuracy, even if you remove the wind, than barrel vibrations. Which is why a gun is a system and the barrel is a part of that system.
Many moons ago, back in my really youthful days in the army, I happened to catch a beer bottle in the back of the head. My ears rang pretty consistant for a few days.....so I have always considered myself in tune..
Hovis