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The usual "which end game axes should I use?" thread on Alla turned into a debate over the merits of going Woodville's/Juggernaut vs Maneater/Juggernaut. The only person who's really advocating using Woody/Juggy is backing up his choice by saying it results in a higher range of Rampage damage (not even necessarily higher average Rampages -- just the potential for a single highest damage Rampage).
So I got to thinking, just how much better is the highest possible Rampage using Woody/Juggy over using Manny/Juggy? Using the weapon skill damage formula listed at wiki, I came up with the following. Anyone care to look them over, and point out any flaws?
Key Factors
Woody has base damage of 50, giving it a weapon rank of 5. It also gives +4 STR, which factors into Rampage damage calculation.
Manny has base damage of 49 during WSs. However, its weapon rank is calculated using its non-latent base damage of 43, giving it a weapon rank of 4. While Manny also gives +5 accuracy and +18 attack during WS, we will idealize our calculations to give Woody every advantage, and assume "capped" accuracy and attack (so that switching from Manny to Juggy does not negatively impact hit rate or pDif).
Juggy has base damage of 46, which gives it a weapon rank of 5.
Assumptions
1. 100% hit rate.
2. 5 hits from mainhand + 1 hit from offhand + 2 double attacks. This is the maximum number of hits with Rampage.
3. Both double attacks during Rampage come from the mainhand.
4. All 8 hits are critical hits.
Calculations
Total WS damage is calculated as:
WD x pDif = ((D + fSTR + WSC) x fTP) x pDif
This calculation is carried out for each of the 8 hits.
- WD: Weapon skill base damage, which is a sum of D, fSTR and WSC.
- D: mainhanded weapon's base damage. Raised by 1 (49 to 50) for all but the offhand hit.
- fSTR: in general, it takes between 4 and 6 STR to raise fSTR by 1. Given the weapon rank of both weapons, Woodville's fSTR caps at 13, and Manny's fSTR caps at 12. If you're already reaching the fSTR cap through your STR heavy build, +4 STR adds nothing. If you aren't reaching the fSTR cap, then +4 STR will raise this value by 1 at the most. This holds true for the offhand as well (the +4 STR from Woodville's could raise the fSTR on the offhand by 1).
- WSC: Weapon skill secondary modifier. This is the 30% STR mod for Rampage. There's an alpha value that scales this down as you get higher in level. At 74-75, the value of alpha is 0.83. 4 x 0.3 x 0.83 = 0.996. Based on the way numbers get truncated, it's possible for 4 STR to actually raise WSC by a value of 2 (e.g. 103 STR would yield WSC of 24, while 107 would yield WSC of 26).
- D, fSTR and WSC are added together. Best case scenario, Woodville's gets a sum 4 higher than Manny. Juggernaut in the offhand would get a sum 3 higher in a best case scenario. We'll case this delta(WD).
- This sum is multiplied by pDif for each hit in Rampage, with the first hit being further multiplied by fTP (which always comes out as 0.50 regardless of how much TP you have).
For the absolute best case scenario Rampage, Woody/Juggy does this much more damage on Rampage than Manny/Juggy:
first hit's damage + damage from other 6 mainhand hits + damage from offhand hit =
delta(WD for Woody) * pDif * fTP + 6 * (delta(WD for Woody) * pDif) + delta(WD for Juggy) *pDif =
4 * 3.0 * 0.5 + 6 * (4 * 3.0) + 3 * 3.0 = 87
How's the math look?
So I got to thinking, just how much better is the highest possible Rampage using Woody/Juggy over using Manny/Juggy? Using the weapon skill damage formula listed at wiki, I came up with the following. Anyone care to look them over, and point out any flaws?
Key Factors
Woody has base damage of 50, giving it a weapon rank of 5. It also gives +4 STR, which factors into Rampage damage calculation.
Manny has base damage of 49 during WSs. However, its weapon rank is calculated using its non-latent base damage of 43, giving it a weapon rank of 4. While Manny also gives +5 accuracy and +18 attack during WS, we will idealize our calculations to give Woody every advantage, and assume "capped" accuracy and attack (so that switching from Manny to Juggy does not negatively impact hit rate or pDif).
Juggy has base damage of 46, which gives it a weapon rank of 5.
Assumptions
1. 100% hit rate.
2. 5 hits from mainhand + 1 hit from offhand + 2 double attacks. This is the maximum number of hits with Rampage.
3. Both double attacks during Rampage come from the mainhand.
4. All 8 hits are critical hits.
Calculations
Total WS damage is calculated as:
WD x pDif = ((D + fSTR + WSC) x fTP) x pDif
This calculation is carried out for each of the 8 hits.
- WD: Weapon skill base damage, which is a sum of D, fSTR and WSC.
- D: mainhanded weapon's base damage. Raised by 1 (49 to 50) for all but the offhand hit.
- fSTR: in general, it takes between 4 and 6 STR to raise fSTR by 1. Given the weapon rank of both weapons, Woodville's fSTR caps at 13, and Manny's fSTR caps at 12. If you're already reaching the fSTR cap through your STR heavy build, +4 STR adds nothing. If you aren't reaching the fSTR cap, then +4 STR will raise this value by 1 at the most. This holds true for the offhand as well (the +4 STR from Woodville's could raise the fSTR on the offhand by 1).
- WSC: Weapon skill secondary modifier. This is the 30% STR mod for Rampage. There's an alpha value that scales this down as you get higher in level. At 74-75, the value of alpha is 0.83. 4 x 0.3 x 0.83 = 0.996. Based on the way numbers get truncated, it's possible for 4 STR to actually raise WSC by a value of 2 (e.g. 103 STR would yield WSC of 24, while 107 would yield WSC of 26).
- D, fSTR and WSC are added together. Best case scenario, Woodville's gets a sum 4 higher than Manny. Juggernaut in the offhand would get a sum 3 higher in a best case scenario. We'll case this delta(WD).
- This sum is multiplied by pDif for each hit in Rampage, with the first hit being further multiplied by fTP (which always comes out as 0.50 regardless of how much TP you have).
For the absolute best case scenario Rampage, Woody/Juggy does this much more damage on Rampage than Manny/Juggy:
first hit's damage + damage from other 6 mainhand hits + damage from offhand hit =
delta(WD for Woody) * pDif * fTP + 6 * (delta(WD for Woody) * pDif) + delta(WD for Juggy) *pDif =
4 * 3.0 * 0.5 + 6 * (4 * 3.0) + 3 * 3.0 = 87
How's the math look?
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