aaah...right...lets think about this....
unless you have a competition or some shoot that you want your bow in perfect tune for between now and when you change limbs/arrows etc...you have the alternative of not bothering to sort things out right now don't you...waiting and doing the tune once for your new set-up.
Comes across though as if it's doing your brain in right now

???
What is the chance that you can get your center-shot ( button
body Position) back to
exactly where it was before? assuming that you were shooting 'down the line' ie: on gold at all distances? Can you get your button tension similar to previous too? ( cos I just know you'd have tried moving this first )
If you can, then we can sort this dead easy >>>>
(otherwise you're looking at a full basic re-tune)
I'm for the moment convinced that you are just achieving a better release, a cleaner shot from your new tab face...and thats a good thing.
What I propose ( and definitely so-if your 'new tabface groups' are a
little higher per sightmark than your 'old tab-face groups') ...is this:
Mark your limb bolt's current position with a gold paint-pen or similar so that you can always return them to their current position exactly.
Once you've done this...( as the center shot position was probably right previously) >>>>
Slack off your bowstring and then back off
Both your limb bolts
equally a half turn, and resecure them with any locking bolt/nut/plug or whatever...re-string your bow.
Get outside - shoot a group centered around the gold at your shortest competition distance.....then shoot a group at your longest competition distance - is it still centered around the gold?
If so excellent- you're finished! ( except for a walkback test to check all your distances are 'gold centered' and that your button Position is correct)
If your longest distance group is still right - back off the limb bolts another 1/4 turn equally....secure, restring...and shoot again....
Your long range group-center Should now be on the move towards gold.
Adjust until the long range group is spot on- and check that your short range group is still centered around the gold.
let me explain the thinking here:
Before anything was changed- your bow was tuned well enough? shooting gold'ish at all distances yes?
Right- when you changed the tab face , the slicker/ faster face now Allowed the string to come off your fingers quicker>>> that
extra speed went up the back end of your arrow>>>which made it 'appear weaker'..and hence more to the right especially at distance..ie: with your lovely new tab - you now have too much ooomph being transferred into your arrows!( where some of that oomph was being lost due to a crabby old tab face)
Backing off the limb bolts Very effectively lowers the pressure/thrust, call it what you will - to something within the 'arrows ideal parameters' for shooting straight...effectively all you will be doing is 'negating that bit of extra speed that youve gained from a new tabface'....and your arrows should shoot down the line nicely again. You'll be pulling slightly less weight on your fingers- for an arrow 'Speed' that matches what it was previously with the old tabface..and all will be good again!
Finish off your session with a walk-back test to check all your distances are 'centered on the gold'.
Remember when walk-back testing:
A nice straight line down the center of your boss(es) is beautiful!
A straight line with a lean to one side indicates the need for more/less spring tension,
A bend in the line "C" shaped means that your button position is incorrect by a bit. ...a tenth of a turn can be all it takes to get it 'spot on'...it can a very delicate adjustment dependent on the amount of curvature of your "C" shape.
And a kink- or an "S" shape indicates that your button position is wrong a bit AND very likely so is your spring tension.
"All things being equal" following this route should provide you with a bow that reacts exactly as it did before...same sightmarks and everything!!
You should be finished easily within an hour!
.......
Until you get the new limbs/arrows etc and the old tuning conundrum starts all over again
