As usual another Robert Stern instituted migraine but interesting reading none the less.
Yes, on my .25 Synrod, I do screw my shroud down very tight against the receiver. I use an O-ring between them to offset any part that is not perfectly square on the end of the shroud. I also use a Hill barrel band that holds the front of the shroud fairly steady, but does allow the smallest of movement too. It is only tighten down after the shroud is in place. I have the baffle spring compressed tightly as well. All of this seems to work better than the loose fit OEM design. I can clean the barrel with a pull through without POI shift and groups seem to hold steady day to day with these changes. I would definitely like to add a CF sleeve to make the barrel even more rigid.
It's even easier than that.... Simply turn it a turn at a time and watch the group size.... When you find a spot that has the smallest group, try a turn either side of that, moving it about 30 deg. at a time.... When you find the best spot, try even smaller adjustments to see if you can refine it further.... Don't worry about the POI, just look for the smallest groups.... When done, resight it....If you change the pellet or velocity, double check it.... I'm guessing it will be within a turn either way, unless you make a huge change in ammo.... but on the other hand I haven't tried it yet.... Chris Alls, who won the 2015 EBR with my .308 cal 200 gr. BBT "Whiteout" told me that adjustments of just a few thou might double the group size, or cut it in half.... He was astounded how small the final adjustments were....Bob
Barrels tend to oscillate mostly in one plane.... The only way to make sure your barrel oscillates in the vertical plane is to test it and index it.... Putting a weight on the end of a free floating barrel will bend it downwards somewhat due to gravity, and accentuate the vertical movement.... Even if the barrel vibrates sideways, you should still be able to find an adjustment that improves the group size....Yes, tensioning the barrel helps tame harmonics because it increases the frequency and decreases the amplitude.... Having the outer tube / shroud mounted rigidly to the receiver.... or at least having it fit on a snug shoulder, will help as well, because then the barrel acts like a larger OD where it meets the receiver....Bob