Monday, April 7, 2008

5-hit / 6-hit / 3-hit setups and the math

Ok, the math for it isn't extremely complicated but its complexity is around the same as algebra level math. This math generally applies to any job in any circumstances, though it'll focus more for a Samurai as it is really the only job that can do this. I'll try to break it down to step by step instructions:
*note: When I say trim, I mean just ignore those decimal values, do not round them.
In the examples, we are using a Samurai at Lv75 using Hagun and no delay reductions.

1. Find your base TP gain
First, you will need to know the delay of the weapon you're using.
For example purposes, I'll use a delay of 450 which is the delay of Hagun as well as other commonly used Great Katanas.

Next, adjust the delay for any delay reduction items. Trim off any decimals. Haste and Hasso are NOT delay reduction. This adjusted delay I will call Delay.
If our samurai were using Sword Strap (3% reduction or 97% of original delay), then your new delay becomes 450*0.97 or 436. The decimal is trimmed off. For the rest of this instruction, I will use no delay reduction, so the adjusted delay is still 450.

Using the following table and the adjusted delay, find your base TP gain (BaseTP). Trim off to one decimal place.
DelayTP
0 - 1805.0 + [(Delay - 180) * 1.5] / 180
180 - 4505.0 + [(Delay - 180) * 6.5] / 270
450 - 48011.5 + [(Delay - 450) * 1.5] / 30
480 - 53013.0 + [(Delay - 480) * 1.5] / 50
530 - 99914.5 + [(Delay - 530) * 3.5] / 470

Pluging 450 into Delay, we get a BaseTP of 11.5.


2. Find your targeted TP gain
Find how much TP per hit you need. Take 100 and divide it up by how many hits you want to get to 100%+ TP. Then round up to the nearest 1st decimal place. This is TargetTP.
100/6 = 16.66666. So our TargetTP is 16.7, what each hit needs to give us at minimum to ensure 6 hit.


3. Find how much Store TP you need to get for your targeted TP
To get the actual TP gain, ActualTP, the formula is simply ActualTP = BaseTP*StoreTP. To find how much Store TP you need to achieve the target TP gain, just replace ActualTP with TargetTP and solve for StoreTP. Round up to the nearest 2nd decimal place.
Our BaseTP was 11.5, TargetTP 16.7. Solving for StoreTP, we get 16.7/11.5 or 1.46. Now we know we need a total StoreTP of 46.

4. Account for Store TP trait
Using this chart, look up how much Store TP you have from job traits, as these will always be on.
LevelStoreTP
10-2910
30-4915
50-6920
70-7525

Then subtract off the trait's Store TP and the rest is what you need to get through Equipment and Corsair Rolls.
In our example, our Samurai is 75, so he will have 25 Store TP from traits. This means he needs to get 21 Store TP from Equipment, Rolls, and Merits to achieve 6-hit with Hagun.


Caveats
There is one issue that slightly complicates this: The fact that most players swap to a completely different equipment set for WS. Usually this set will have little to no Store TP. With it, you may end up coming short on TP of a x-hit setup. As such, there are a few solutions around this.

1. You can just not swap equipment for Weapon Skills. Probably the most unacceptable of the three.
2. You can try to adjust your swap to include more Store TP to match what you need. A bit more acceptable but probably still unacceptable to some.
3. You can leave the swap alone and include even more Store TP to the normal meleeing set.
This is what most players prefer to do. Now, this means more math to work with though.

First, figure out how much TP you use Weapon Skills in, factoring in the Store TP. Multiply the BaseTP by this Store TP value(normalized to decimal) to find the TP from WS. Trim decimals to 1st decimal place.
For our example Samurai, let's assume he WSes only with the 10 Store TP from merits and none from equipment. 11.5 * 1.10 = 12.6
Second, find a new target TP by taking the TP from WS off from 100%. Then divide it by the number of hits left. (If 6-hit, then divide by 5. If 5-hit, divide by 4, and so on) Round the TP up to the next 1st decimal place.
100-12.6 = 87.4 TP is what we need to achieve in 6-hits. With the WS hit, we need to achieve 87.4/5 or 17.5 TP per hit. Note this is much higher than 16.7 TP we had before, due to the WS only contributing 12.6 TP.
Third, find the Store TP needed to achive that. This is the same as Step 3+4 previously, just with different numbers.
So our new TargetTP is 17.5, BaseTP is still 11.5, so 17.5/11.5 is 1.53 or 53 Store TP. Since we have 10 from merits, we need to add 43 Store TP to our equipment, 22 more than what we found without accounting for WS TP. In more practical situations, we probably wouldn't have to add as much Store TP, as people are likely to have some Store TP from equipment like Hachiman set, Rajas Ring, Brutal Earring, Askar Korazin, or Usukane Set.


3 Hit setup
Now we know how to calculate Store TP needed to achieve x-hit, let's try to get a 3-hit setup! First, we will use Ito because that's only the Great Katana with high enough of a delay to provide a sizeable BaseTP. It has 999 delay.
Step 1:
Delay is 999, we are not using any delay reduction.
Using the chart, we find that BaseTP is 17.9.
Step 2:
TargetTP is 100/3 or 33.4.
Step 3:
StoreTP = TargetTP/BaseTP = 33.4/17.9 = 1.865 = 1.87
So we need 87 StoreTP!!!

Well, we have 25 from trait at Lv75 SAM, 10 from merit, leaving us 52 from equipment and rolls. Maximum from equipment is 51 Store TP, 1 short of the goal. So we need Samurai Roll to get there. Assuming we will never bust, lowest Store TP from rolls will be 14, so we only really need 38 Store TP from equipment to get our 3-hit setup. Alright!!

In actuality, this is horribly impractical. Even at 4-hit setups, you'd have to sacrifice a lot of key equipment pieces or rely on Samurai Rolls. But I guess it is interesting to know you can hit 3-hit setup. Unfortunately, the relic Great Katana does not provide enough Base TP to hit 2-hit setup. Which would have been fun even if its stupid and does no damage.

Nada

I'm still alive, just been in a boring lull. I am writing this as I skill up parrying with flamingos in sky. As anyone who has tried to force their parrying to skill up will tell you, it is very b-o-r-i-n-g. Now it sits at 231 which is still a far cry from 269. As far as why flamingos, I may explain that later on when I finish parrying, probably will list a way to find ideal parrying skill up camps.

As far as all my "research projects" go, it'll yet still be pushed back some more, as I am starting to get spread thin. Each week I am doing: 2 salvage runs (possibly 3), 2 limbus runs, 1 dynamis run, 1 nyzul run, 3-4 assault tags farming points, a few hours slaving in Mount Zhayolm for khroma ores (11/48....), maybe 2 hours rebuilding buffers in campaign, and finally IF I have time left, skilling up parrying. Sometimes I even throw an ENM or two in there. However, this doesn't even leave me time to go back to subjob leveling (DRK, RDM, COR, BLU, SCH) or any of my old projects (Campaign studies, NIN throwing setup, and the others).

On a related note, with much thanks to Siveth, I have a pair of Gavial Cuisses+1 now, with no luck on the greaves. May try another round of attempts later on this week for the greaves. While on the note of Damage reduction, I am liking this set and the results I am seeing. On stuff that normally hits me for 200+ damage, I can cut it down to roughly 100-120 which is a lot more manageable for tanking (especially with merited Third Eye). In the future, I plan to post some actual data comparing on a average per-hit basis the difference between a PLD and a SAM tanking in this setup.

Following up this post is one on 6-hit/5-hit setups, along with an almost 3-hit setup. 5 months after starting this blog, it still seems rather empty so I think I'll fill it up with "stuff". Actually, what prompted me to do this is how people will just casually say "You need 11 store TP to get 6-hit" without considering the circumstances. So expect that soon.