And, this led me to the startling realization that all patterns, on average, are the same......So, if you look at two patterns from widely differing chokes and shot at the distances where the patterns have equal diameter, you will find the patterns are indistinguishable.
Don, That is an excellent post. All of it. I quote just a couple sentences because "experts" on another board make far too much of the first point, and ignore the second. The second sentence better spells out correct application of the first.
Miller, Don's correct about central thickening. The .410 ratio you observed reflects small payload, not gauge magic. Remember, your ratios use linear measure terms (inches). The distribution formulas express in terms of standard deviations from some mean/center.
BTW, my full M-42 throws a near-70% pattern at.....40 yds......using 3" Rem #6. Interestingly, every single pellet typically falls within the 20" circle (ratio = infinity). This isn't central thickening.
Praying for you, Miller. Get well!