Talking about target shooting.
From what I read the Minute of Angle. Or the vibration of the barrel determines how the tip of the barrel moves when the bullet exits it. The less the vibration, the better the accuracy.
Or if the fps is faster for the bullet. The M.O.A. has less time to react. This is why .223 wssm is considered more accurate than .223 win.
From Wiki, so it may or may not be correct, but it looks about right: "Minute of angle (MOA) is the measurement (in fractions of degrees) of a ballistic round's deviation from its initial heading due to gravity and/or the effect of air resistance on velocity. Informally known as a "Bullet's Trajectory" or "the rainbow effect". Long range weapons must account for this effect because a fired round falls at a quadratic rate. "
This is considered to be exterior ballistics.
What you are addressing is interior ballistics.
So, I am not sure what that would have to do with barrel harmonics. One of the best explainations on barrel harmonics, was also the most simple. Picture an old school radio tower with guy wires on it. Stand at the bottom of one of those wires, and shake it, once. A pulse will go up the wire, hit the end, and come back down. The longer the wire, the longer the time for the pulse to return, the shorter, the faster.
This is the same in a gun barrel. The trick is to determine the optimum time for the barrel, when the pulse is flat, as the bullet exits the barrel. This depends on the length. The diameter of the barrel has little to no effect on this measurement.
The most common way to determine this is a ladder test, where a bunch of different loads are made up, shot, and either measured over a chronograph, or in absence of a chrony, group size measured. The former being more accurate.
I run a proven calculation that gives me a barrel time in miliseconds. This time is then compared to load data in Quickload, and a velocity is determined. I then make loads up in order to find this velocity. The chronograph then determines velocity and dispersion. When the dispersion is at its smallest, say a spread of 15 to 25fps, or prefferably less, then the node is found. This is the same as the ladder test, except that less rounds are loaded in order to find the node.
As I said, every barrel, regardless of length, has it's time, or node. Length, in a rifle application, should not be a determining factor in accuracy.
R.