You're right on the Faith part, but not exactly on the sense of Brave.
Faith controls pretty much most of your magic spells, just as much as MA (Magic Attack). When you use a spell from the White, Black, Time and Yin-Yang magics, Summon spells, and one or two other abilities, both your Faith and the Faith of the opponent are added in the calculation. This is shown in the following equation, in the case of damage:
MA * spell power * (Your Faith/100) * (Enemy Faith/100)
Mostly, the closer you are to 100 Faith, the closer it gets to full strength. If both your opponent and you are on 100 Faith, the full damage would be equal to your Magic Attack times the power of the spell (and multiplied by enhancements if you use, for example, the Fire Rod with a Fire spell)
Faith also affects your chances of succeeding on status effects, but it uses a different equation:
(MA + spell power) * (Your Faith/100) * (Enemy Faith/100)
So, the higher the Faith, the higher the chances of success because you're effectively taking the chances to their highest amount of success.
One other ability uses Faith, but in a different way. Malak's Untruth uses the inverse of Faith in order to deal greater damage, but apparently having the Atheist status nulls that. To put it clearly:
0.5 * MA x (MA + skill power) * (100-Your Faith)/100 * (100-Enemy Faith)/100
In theory, this should mean that having 0 Faith should make you vulnerable to Malak's "spells", except that as mentioned before, Atheist makes you invulnerable as well.
Brave is different. What Brave does is determine the activation rate of all Reaction Abilities; the higher the Brave, the better are the chances of activation (when it activates, of course). Success chance is a rather simple (Brave/100) * 100%, or simply (Brave)%. You can notice that with Blade Grasp, which uses this equation exactly as mentioned (and hence, why it's so good). The only two Reaction Abilities that ignore this are Weapon Guard (it depends on your weapon) and Reflexes (it doubles your Evasion rates). Also, as you mentioned before, the lower your Brave, the better the items of Move-Find Item result. This is crucial in the Deep Dungeon and also on Nelveska Temple.
One thing you probably didn't knew was that, apparently, fighting barehanded or with Knight Swords and Katanas depend on your character having a High Brave to deal full damage. This may explain why you feel Brave deals higher damage, since it influences it. Other weapons are influenced by Faith, as well (Magic Guns), while others are influenced by your character's speed. Finally, Staves depend on Magic Attack, while the Bard weapons and the Books depend on both Physical and Magic Attack.
That's not a secret. Male characters tend to have a tendency for physical jobs, while Females tend to have a tendency for magical jobs. This reflects in a difference of about 5-10 more MP on females and 5-10 more HP on males, as well as the difference in magic power.For the record, the way I play is this: Ramza and two other males plus two females. The females are the magic-using jobs, and the males are the more physical jobs. I do this because when I first played, I thought I noticed that the females typically have one more Magic Power, whereas the males have one more Physical Power. And I prettymuch only keep those five characters, until the special characters come in. That way, all of my characters are used every battle, instead of having to spread the Exp. around and not level nearly as fast. (I don't get the Bard job usually, but I don't care much for it.)
Thanks.
I put this last because it fits with the recommendation. It is best that ALL of your characters except for one get high Brave, and let all magic-inclined characters (plus some specials like Beowulf) have a high Faith, and letting the others have low Faith. A Faith of about 88 is enough to be reasonable while not risking your chances. As for your low-Brave character, make it the official searcher for treasures using Move-Find Item, giving said character Reflexes or Weapon Guard. Preferably, make the character a Ninja so it benefits from high Evasion rates, high Move and high Jump, then give that character Germinas Boots (when you get them) and make it the sole character that goes searching. Some people say Rafa is best for the job as she already has low Brave, but anyone can be a treasure hunter with Beowulf's help. Just make sure your Brave is around 12 so that you're on the safety zone.If it is, it would make sense for classes like Knight, Ninja, Thief, Lancer, Monk, etc. to have very high Brave levels and very low Faith levels. Likewise, it would make sense for classes like Wizard, Priest, Summoner, Time Mage, Calculator, etc. to have a low Brave, but a very high Faith.
Now, I know about wanting a low Brave for the Move-Find Item ability, and I know what'll happen if one's Faith or Brave gets too high or too low. I just want to know what would be the best for battles. It's prettymuch the only reason I bother with the Mediator job.
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