Instead of designing new rules for early firearms in my Old School Renaissance swashbuckling game set in the Renaissance, I'm just using the firearms rules from Lamentations of the Flame Princess with the following alterations:
All damage caused by handheld firearms (pistols, arquebuses, muskets) is designated as special, which, in this case, means 2d8, drop the lower die; doubles are added. For example, if you roll a 2 and a 6, the damage is 6. If you roll a 5 and a 5, the damage is 10. Firearms reliably cause significant damage, but there is still a chance of only being grazed.
Since I'm using the range bonuses and penalties from Basic/Expert D&D and Labyrinth Lord (+1 at short range, 0 at medium range, -1 at long range), I'm extending it to firearms with rifled barrels as well. Firearms with unrifled barrels retain their usual penalties of 0 at short range, -4 at medium range, -8 at long range against specific targets. Against general targets (such as enemy troops in close formation), the penalties are 0 at short range, -2 at medium range, -4 at long range.
Firearms do not "ignore 5 points of Armor" at short range or any other range.
[Edit: See Renaissance Firearms Revised.]
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