With all due respect, I do not consider a 4" group at 50 yds. noteworthy at all, no matter what slug you are shooting. I have shot Winchester Shotgun slugs( Old, Foster Style) out of my slug barrel into one hole at 50 yards, and off-hand have fired 5 rounds into a group that was no more than 3"AT 50 YDS.
There are serious problems shooting the " wasp waist" slugs out of most shotguns. The Early- VERY EXPENSIVE- Versions were made too hard, and had sharp corners, that caused about 1/3 of the slug to break in mid flight. I have seen more recent versions that have a nicer curves or "radius" to those " corners", and I am told that these new designs are much less likely to break up. I don't know if the alloy has been changed.
I am told they shoot better from a rifled barrel, but that they have to have one of those plastic "shoes"-we don't discuss on this forum-- around them to get them down the barrel. After seeing their performance on deer- or rather non performance-- as the .50 cal. slugs zip right through and do not mushroom at all-- I stopped having anything more to do with them. This is 20-25 years ago, now.
I am assuming that regard the powder charge, you are trying to say, 1 1/4 OZ. "Equivalent By Volume", or did I misunderstand you? A 1 1/4 oz. volume of BP would be 3 drams, or approx. 82 grains. Since pyrodex is much lighter in weight, The Actual weight of an equivalent volume load of Pryodex in a 1 1/4 oz. dipper, or measure would be about 64 grains by weight.
We don't weight powder in BP guns, altho we use grain weight to refer to the volume loads we do use. This is the result of the transition of BP rifles from MLers, to Breechloaders, and the restrictions that using Copper or Brass casings to hold both the powder charge and the ball or bullet put on how much powder could fit in a given size casing. Before Cartridges, powder loads(charges) were referred to by Drams, a volume measurement.
This piece of historical trivia only comes in a " need to know that " concern, if you happen to read accounts in very old books that describe guns, and the loads they shot. "Dram Equivalents" still hang around on modern Cartridge boxes for shotgun shells, and that is the reason to mention this here. :hmm: