For example, if I want a weapon that has a +1 Enhancement bonus (+1 cost) and make it dispelling (+1 cost) do these stack together? In my group there is some discussion, and some people believe this is a +2 weapon with a +2 cost modifier, while others believe special qualities and enhancements are separate, and they would just pay the +1 cost twice.
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I feel this hasn't been explained well.
If you had the weapon you described, it would be a +1 dispelling longsword (or whatever the weapon was).
However, since dispelling has a cost as a +1 enhancement, you price the total cost of the item as though it were a +2 item.
Paying the cost of a +1 item twice is wrong, as is calling it a +2 sword because a +2 longsword provides different bonuses than a +1 dispelling longsword.
A magic weapon is enhanced to strike more truly and deliver more damage. Magic weapons have enhancement bonuses ranging from +1 to +5. They apply these bonuses to both attack and damage rolls when used in combat. All magic weapons are also masterwork weapons, but their masterwork bonuses on attack rolls do not stack with their enhancement bonuses on attack rolls.
Weapons come in two basic categories: melee and ranged. Some of the weapons listed as melee weapons can also be used as ranged weapons. In this case, their enhancement bonuses apply to both melee and ranged attacks.
Some magic weapons have special abilities. Special abilities count as additional bonuses for determining the market value of the item, but do not modify attack or damage bonuses (except where specifically noted). A single weapon cannot have a modified bonus (enhancement bonus plus special ability bonus equivalents, including those from character abilities and spells) higher than +10. A weapon with a special ability must also have at least a +1 enhancement bonus. Weapons cannot possess the same special ability more than once.
Weapons or ammunition can be made of an unusual material. Roll d%: 01–95 indicates that the item is of a standard sort, and 96–100 indicates that it is made of a special material (see Equipment).
Please see here for further information.