Stopping the muzzle
I usually just sit back and listen to those here that are much smarter and more experienced than am I. I am not a competetive benchrest shooter, but am always trying some of the things you folks offer up. I have added commercial and homemade tuners to some of my guns for several years now, and am convinced they make a difference in both rimfire and centerfire applications. Some time ago, a fellow at one of the clubs I belong to asked for a real world, simple example as to how a tuner functions. I searched here and read everything I could. I finally came up with a rather simplistic visual aid that I believe shows how a barrel tuner functions.
I like to use a fly rod because of the length and flexibility. These provide an exaggerated example for the eye to see. Ideally, the best thing to use would be a straight, non-tapered rod because of the more uniform way nodes would be developed. However, standard rods are tapered and this will affect how the nodes develop.
If we take a fly rod, held out horizontally, and using wrist motion whip the grip up and down, you will see nodes develop along the length of the rod. These are naturally occuring points that are derived by a combination of mass and shape along the length of the rod. These points provide pivots where the rod will rotate in the vertical axis. If we then use an iterative process to add mass in increasing amounts at the end of the rod, eventually we will reach a point where the movement of the rod at the end will not be able to overcome the inertia of the added mass, almost as if someone was holding the tip as you continued to move the rod. The end of the rod will become a pivot point and there will be nodal amplitides (one or more) between it and the grip, but the end (muzzle) will not have any vertical travel. This corresponds to the tuner described by Mr. Calfee and its affect. If, once the desired weight is found, you thne vary the speed at which the rod is oscillated, you will see that even with variance in speed, the end stays put. I may be wrong, but I believe this phenomenon illustrates why Mr. Calfee believes that regardless of varying loads being used, the muzzle stops when the ideal weight is found.
I know that tuner theory first required re-tuning when load or ammunition was changed. I believe at that point we as a group just had not observed everything there was to see. This idea continues to be refined as we experiment.
I am not trying to offer anything earthshaking here, as you guys seem to have already figured it out, but I like nice simple visual examples. They tend to take the "black majic" out of these discussions for the casual observer.
I appreciate your indulgence.
Dan