she definitely doesn't hit criticals 100% of the time with SoE
No, not 100%, I think it is just +100%. So, if base critical hit chance is 5%, it will be 10%. Or maybe it is as Sungho put it? +10% critical hit chance, since it counts by the x/1000? I don't know how it works, but everyone knows that Youmu's critical hit rate is insane. Reincarnation Slash crits like more than 75% of the time.
Here's the thing you aren't considering: When you start to bring other multipliers into the picture (I.E. Slayers, hitting weaknesses, physical/elemental damage boosting equipment, land levels, etc) they increase the larger raw numbers by a much greater amount.
Taking those into account do not make a difference. Adding an x2 multiplier to 2 equations give you the same results, just bigger numbers.
I was simplifying it to show you numbers and why it favors Youmu.
The issue here is Slayers, hitting weakness, etc. all use a multiplier. This means Mokou will not have an edge over Youmu or vice versa, because this is done at the same time as the other damage multipliers. The math says it won't make a difference, so I don't need to take into consideration of slayer effect, because the boost would be the same for both.
If Youmu does 1000 damage and the slayer effect is x2 damage. Youmu will do 2000 damage. The same would be true for Mokou. There is nothing that you need to add here. That said, if you can provide me proof otherwise, I will gladly do the math for everything, slayers, elemental effects, etc.
Mokou goes to 6231, while Youmu goes to 4158. What used to be a 1382 point damage gap is now 2073 points.
Since it is a multiplier effect, it makes no difference. On critical hit, 6231 x 2 = 12,462. On critical hit Youmu's 4158 x 3 = 12,474. That larger damage gap doesn't change a thing. Now let me talk about critical hits and more on multipliers...
And while Youmu does get higher crit damage, Mokou's crit damage is still very significant. Especially when the larger base damage value means Mokou is getting more bang for her crits to begin with. Youmu would have to get two crits every attack to match the damage bonus Mokou gets from one, without any additional damage multipliers. As the multipliers increase, the amount of crits Youmu would need to keep up will also increase. With that one 1.5 multiplier example earlier? Youmu needs all four hits to be crits in order to keep up, and there are a lot more multipliers involved in the actual calculation than that. Again, it isn't hard for her to crit with Youmu as the commander.
Yes, Mokou's crit damage is significant, but she doesn't have bonus to damage. I believe it is the standard 2x damage. Also, we are talking about multipliers, having higher base damage doesn't change a multiplier. I am not sure why you are using that as an argument.
I think your math is off if you think having a higher base changes anything. Youmu will need the exact same number of critical hits in scenario A as in scenario B, because nothing changed. All you added was a multiplier to both equations, which brings you back to square one.
Let's use your example and my example at the same time, I will put them side by side.
Youmu's damage 693 per hit. 3 to 5 hits.
Youmu on crit 2079. With 4 critical hits, it is 8316.
Mokou's damage 4154 total.
Mokou on critical hit 8308.
On average, you would probably see (4154 x 10) + (8308 x 2) for Mokou. 58156. Less than that, since this means Mokou has a 16.6% chance of critical hitting, which I don't think she has.
For Youmu, you will see (693, 2079, 693, 2079) = 5544. Over the course of 12 hits, you get about 66582. Youmu has around 50% chance to land criticals as far as I can tell. Higher if she has the +crit katanas.
Now, using higher numbers with the 1.5 multiplier.
Youmu's damage is now 1039.5. In 4 hits, it is 4158.
For Youmu, you will see (1039.5, 3118.5, 1039.5, 3118.5). 8316. Over the course of 12 attacks, 99792.
Mokou's damage is now 6231.
Damage over the course of 12 attacks, 6231 x 10 + 12432 x 2, you get about 87174.
If you look at the multiplier difference between the two, it is exactly the same. Youmu will do 14% more damage.
Anastasis is the only boss that applies to in the main game after the point where you'd reasonably have FV (Which my Mokou was still outdamaging that Nicovideo guy's Youmu against, as a reminder.). There are a few more in the expansion, but FV is still effective more often than not.
And I am saying that there is someting wrong with it if Mokou is out damaging Youmu. The equations do not add up. Mokou only has a 3.5 power, Anastasis' resistance to fire is very high. Youmu has a 1.05 power, in addition to 1.50 multiplier and gets to hit 3 to 5 times. The math says the person using Youmu does not have enough attack.
This is huge, because it literally means that unless Youmu consistently does twice FV's damage with SoE, it is worse, barring the rare situations where you don't have opportunities to attack on consecutive turns
Are we trying to compare overall damage? Because I have already said, against high defense enemies, don't use Youmu. Go with magic, or whatever, you have a lot of characters and options. It takes setup to get it going, so unless you are in for a VERY long fight, don't do it. Slash of Eternity is not very effective if you do not have sufficient attack to override their defense. This means you have to give up on defensive accessories to put up numbers, which I don't tend to do.
If you plan to use Youmu, make sure you have a buffer, otherwise her damage is mediocre against high defense enemies. If Byakuren wasn't there to buff Youmu for the final boss fight, her damage would be underwhelming.
Elemental Weapons are NOT affected by land power, except for certain +[Element] attacks. Just so you know. Really common misconception.
This is good to know. I had no idea that Elemental weapons are not affected by land power. So Dual Blade for instance is not affected by land power, but Byakuren's buff is. This is interesting.
CRITs are x/1000.
Does this apply to all crits? What about weapons that say critical +20, like Mokou's Phoenix Hand. Or Youmu's +10 critical in her katana tree? That is still normal right and not x/1000?
@Youmu vs Anastasis - She has pretty high defense, so if you want to do real damage, you will probably need to use + attack items and put whatever spare points in the tree that ups attack power and strength. You should also use Byakuren with 100+ Induction to buff. You may need to use Alice to tank for you. Usually I just go with spell casters.