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2d10 will average to 11 - always half of the dice +1 and then divided by the dice, always rounding down (no 10.25 or 10.6) -- only +1 if its more than 1 dice, and when they are the same dice (not 1d6 and 1d4)
meaning a d20 will average 10 2d20 will average 21 (2x 21 / 2 as they will average at 10 and 11 the more often you throw them)
2 d6 will average 7
I mean, it's really easy... just basically take the middle number of each die and add them up. You will get enough idea of the good vs bad weapons based on that already.
1d4 is 1 roll of a four-sided die (giving you 1 to 4 points of damage). 1d6 is 1 roll of a six-sided die (1 to 6 points of damage). There's also 1d8, 1d10, 1d12, and 1d20.
At least one weapon (greatsword), used 2 die rolls for damage (2d6). This is 2 rolls of a six-sided die (2 to 12 points of damage).
You won't have any weapons that give the same amount of damage on every hit, it's always a random number based on the weapon type. That's just the way D&D works.
a +1 weapon is the die value +1 damage. This also determines bypass on damage resistance for some enemy types and some spells. bigger is better.
your stats affect it; if you have 20 strength, you add 5 to all melee hits. so your half orc thug with a longsword +3 now does 5 (strength) + 3 (enchanted weapon) + 1 to 8 for a total of 9 to 17
and dps is a whole different ballgame. This is tied to how often you can crit and how much that is for, which changes with gear and feats and whether or not you are a weapon master and some spells etc.
and some weapons have even more damage, like 1d6 acid.
all that to say you either go for something that crits often or hits hard, and if dual wielding, the weapon size matters as well. This makes the katana and bastid swords solid 1h weapons with rapier and scimitar being high crit chance choices, while a dagger is less than impressive. The exotic double weapons are best in class for dual wielders. 2h .. scythe is an interesting one esp for weaponmaster, greatsword is the most common (read, easy to get better one), and so on.
You may love katanas but good magic ones are hard to find whereas every idiot sells a longsword. Keep that in mind. Module matters as to what is even available.
my weapon list isnt a recommendation. Its just a highlight of some of the weapons so you can see what to look at when comparing them.
Then if you're dual wielding you have to consider weapon sizes for penalties and whether a weapon can be used with Weapon Finesse. E.g. Weapon Finesse can be used with any small or tiny weapons (+Rapier). However you only get minimum dual wielding penalties if you're using a weapon that is one size category smaller than your character in the off-hand. So small or tiny weapons for medium sized characters and tiny weapons for small characters (halflings beware).
My rules of thumb are:
Good damage, rarely resisted damage type, good multiplier. The downside is it has a low threat range.