@Maurygold nowhere did I say scope ring weighting was an ideal tuning method, I said offset mass causes the impulse response that results in tunable vertical stringing relating to barrel exit time (beforeyou introduce muzzle weights). If you are modelling the system it needs to be there and if class requirements are no muzzle tuners/devices it could very well be one of the ways someone can tune a rifle.
You told me I was wrong that that effect was a result of offset mass and have continued referring to this incredibly vague "harmonics". It not harmonics, it's an impulse response, there is no continuous fixed frequency forcing function.
You have also failed to explain where the eccentric force/energy input is developed if not from recoil vs offset mass and why it occurs primarily in the plane of offset mass.
You also just stated shooter input/buttpad force doesn't effect point of impact which is wrong too.
Explain it like there is a university physics department sitting in front of you who will start cutting fingers and toes it you make snake oil references the "harmonics". Explain the mechanism of introducing the energy lateral to the bore if not for the moment around the offset mass.
You are clearly out if your depth.