Are you wanting to notice actual differences in steel tube's vibration frequencies between two different lengths but the same diameters?I have noticed all kinds of theory, but it doesn't seem like there is actual experience in some of these things...What do I know I am just a new guy.
Consider this stuff:
http://www.geoffrey-kolbe.com/articles/rimfire_accuracy/tuning_a_barrel.htm
https://www.varmintal.com/atune.htm
Create your own barrel profile using this site to see how the muzzle axis moves vertically.
http://www.geoffrey-kolbe.com/articles/rimfire_accuracy/barrel_vibrations.htm
Use a 1.2 millisecond barrel time to see the angle.
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