A gun shop owner once told me modern shotshells are optimized for about 24 in barrels. True? Idk
looking at the numbers 18, 20 , 26 30 , as you get closer to 30 you keep making smaller and smaller gains in velocity so it wouldn't surprize me if 24 was a sweet spot , Mossberg makes all their slug barrels 24 inches
the SAAMI on non magnum rifle cartridge's are all figured on a 24 inch test barrel while it used to be and may still be that shot shells are calculated on a 30 inch test barrel.
much like most semi auto pistol rounds are done from a 4 inch test barrel relaoding manuals typically specify where what they used for the velocity.
some carbine rounds like 300 blackout are SAAMI on a 16 inch barrel it is all what the original designers send it off for testing with.
in looking for velocity info there were several that put it between 4 and 7 fps per inch , I think it is more of a non linear thing probably loose very little between 30 and 26 then a little more per inch between 26 and 22 then a little more per inch as you go shorter yet
one fo the best videos I could find was a guy who had a pile of shotguns all the way down to about 8 inches some were NFA items h didn't have a 30
he used the same bird shot , buck shot and slugs
I think federal 7.5 bird shot , estate 00 buck and Federal true ball slugs
bird buck slug
36 " 1195 1395 1662
26 1143 1317 1570
21.5 1092 1304 1563
19 1081 1277 1529
18 1094 1294 1549
14 1034 1255 1444
these were 5 shot averaged velocities and some of the shot to shot differences were 40-50 fps and it definitely seems the specific barrel matters to get absolutely true numbers you would probably need to get a a barrel and start cutting it down so only the length changed as have been done in some of the best rifle velocity tests.
if you ask me a 8-10 inch shorter barrel in the field is worth the that drop in velocity I think so and the person who did the video took it a step further and calculated foot pounds energy with the rounds and buck and slug for 26-18 inch were basically statistically insignificant the difference was 2390 to 2330 60fpe , when you start with 2300 what the 3rd and 4th digits are really don't make a difference. 2300 was plenty to get it done