From what I have learned here, to shoot long-range with a round ball, you need a slower twist and more powder. For shorter-range shooting, as I do, a faster twist of say 1 in 48, can give fine accuracy and requires less powder. Patch thickness is similarly applied as tight for tight groups and less so for ringing a gong. I can almost see the grey of those who impart this knowledge and appreciate it.
In the typical calibers, under 62. Twists slower than 1:48 are, in my considered opinion, a waste of time. As are grooves deeper than .010-.012. This has been known since the 1850s at least for the PRB or cloth patched Picket. In larger bores where the rotational inertia of the ball is greater a slower twist might be OK. My rifle using a 16 to the pound ball has an 80” and its certainly accurate with grooves .008”. Round balls will shoot pretty well with almost any twist. Douglas, for what ever reason, used a 66 for everything. BUT then made 48 twist “Hawken” barrels at one time and made 48 twist barrels for Golden Age arms. I don’t think anyone has ever done a detailed study of surviving rifles to see what the twist really is. But I bet, based on the prevailing theory of the time, that the long, “4 foot” barreled American rifles had 4 ft twists. This idea is why some English/European rifles with shot barrels have twists more suitable for a 3 caliber long bullet of that caliber.
A 48” twist will shoot all the powder necessary for any use up to at least 58 caliber. In round ball rifles from about 45 to 54 about 1/2 ball weight will give very good velocity. In a 54 slightly less will still give 1800 or higher fps if FFF is used.
And in a 50 caliber rifle 1/2 ball weight will shoot to 300 yards with no problems. With Swiss powder less will give the same velocity. 90 gr in a 54 for example.
One other thing the idea that reduced friction increases velocity is false. This was proven by the British in their experiments with ML shotguns in the early 19th c. Where rough reaming the bore at the breech gave better penetration (velocity).
And remember the 1/2 ball weight only applies up to about 54 caliber. I shoot 140 gr of FF Swiss in the 16 bore. 1/2 ball weight in this rifle would be 218 gr. 140 still gives 1600 fps in a 30” barrel. Bigger bores are more efficient. Perhaps due to ball weight.