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This is a continuation of the discussion on the most efficient Meikyo Shisui chains that started in the new warrior traits and sub job discussion thread. I made a new thread to prevent further derail and so that this info can be looked up more easily.
I recently found this thread in BG. It has research that pins the Attack multipliers for Yukikaze (approx x1.5), Gekko (x2), and Kasha (x1.6-x1.7; I'll assume x1.7 in my calculations.) Also of interest is that Gekko and probably the other two also have massive Acc bonuses, enough to not worry about it at all.
So let's analyze the Skillchains I mentioned in the WAR thread with more detail by taking into account the fact that Yukikaze, Gekko, Kasha and Rana are not equal, and that our WS will be done at varying TP levels throughout the chain.
Assumptions and Conventions:
* We'll define the damage of a 100 TP (200 TP in the case of Hagun) Gekko to be 1 unit of damage.
* The damage of all Yukikazes, Gekkos and Kashas will be calculated like this: (WS fTP/Gekko's fTP @ 100 or 200) * (WS Attack multiplier/Gekko's Attack multiplier)
* Tachi: Rana does 0.5 damage when done with Hagun, 0.6 damage with other GKs.
* The TP levels for the 6 WS will be as follows (fTP values in parentheses: )
** With Hagun: 100 (1.5625) > 300 (2.5) > 300 > 300 > 260 (2.25) > 200 (1.875)
** Other weapons: 100 > 200 > 300 > 220 (2) > 160 (1.75) > 100
* Damage will be written as such: [X.XX (WS damage) * Y.YY (SC bonus)] + [etc] + [etc] = Total
Let's run the numbers for Hagun users first.
Y > G (Frag) > K (Light) x2:
[0.625] + [1.333 * 1.6] + [1.133 * 2] + [1] + [1.2 * 1.6] + [0.85 * 2]
WS only total: 6.142
Total damage: 9.645
G > Y (Indu) > K (Comp) > Y (Deto) > K (Grav) > G (Dark)
[0.833] + [1 * 1.5] + [1.133 * 1.6] + [1 * 1.7] + [1.02 * 2.25] + [1 * 3.25]
WS only total: 5.987
Total damage: 11.392
Y > G (Frag) > G (Dist) > K (Fusn) > R (Grav) > G (Dark)
[0.625] + [1.333 * 1.6] + [1.333 * 1.75] + [1.133 * 2] + [0.5 * 2.25] + [1 * 3.25]
WS only total: 5.925
Total damage: 11.733
Conclusions:
* All three skillchains do approximately the same damage with their WS; if the enemy is immune to magic damage, all three chains are roughly equal.
* Both long Dark chains beat repeating Yukikaze > Gekko > Kasha by a wide margin (up to 20% more damage) when the enemy is susceptible to Skillchain damage.
* Despite Rana being a much weaker WS than Y/G/K, the skillchain it enables is slightly more damaging than the non-Rana Dark chain, while being more consistent (more likely that all WS will land, and no Lv.1 SCs means the enemy has to resist both elements in the Lv.2 SCs.)
* For either Dark chain to be weaker than spamming Gekko, all of the SCs would need to do less than 1/10 of their damage. Since the max possible resist is 1/8, this is impossible unless the mob has over 20% damage reduction (and even then, the odds of getting five 1/8th resists are less than 50%.)
For the sake of completeness, let's run the numbers for non-Hagun weapons.
Y > G (Frag) > K (Light) x2:
[0.75] + [1.2 * 1.6] + [1.36 * 2] + [0.96] + [1.12 * 1.6] + [0.85 * 2]
WS only total: 6.24
Total damage: 9.842
G > Y (Indu) > K (Comp) > Y (Deto) > K (Grav) > G (Dark)
[1] + [0.9 * 1.5] + [1.36 * 1.6] + [0.96 * 1.7] + [0.952 * 2.25] + [1 * 3.25]
WS only total: 6.172
Total damage: 11.55
Y > G (Frag) > G (Dist) > K (Fusn) > R (Grav) > G (Dark)
[0.75] + [1.2 * 1.6] + [1.6 * 1.75] + [1.088 * 2] + [0.6 * 2.25] + [1 * 3.25]
WS only total: 6.238
Total damage: 12.246
The results are practically the same. Note, however, that we didn't use the same scale for both sets of calculations. For the Hagun math, we used a 200 TP Gekko as the unit of damage (since Hagun adds 100 TP), while we used a 100 TP Gekko as the unit of damage in the second set of numbers. The similar results simply mean that the difference in damage between the various skillchains will be roughly the same regardless of weapon. It doesn't mean that you'll get the same amount of damage with and without Hagun.
I recently found this thread in BG. It has research that pins the Attack multipliers for Yukikaze (approx x1.5), Gekko (x2), and Kasha (x1.6-x1.7; I'll assume x1.7 in my calculations.) Also of interest is that Gekko and probably the other two also have massive Acc bonuses, enough to not worry about it at all.
So let's analyze the Skillchains I mentioned in the WAR thread with more detail by taking into account the fact that Yukikaze, Gekko, Kasha and Rana are not equal, and that our WS will be done at varying TP levels throughout the chain.
Assumptions and Conventions:
* We'll define the damage of a 100 TP (200 TP in the case of Hagun) Gekko to be 1 unit of damage.
* The damage of all Yukikazes, Gekkos and Kashas will be calculated like this: (WS fTP/Gekko's fTP @ 100 or 200) * (WS Attack multiplier/Gekko's Attack multiplier)
* Tachi: Rana does 0.5 damage when done with Hagun, 0.6 damage with other GKs.
* The TP levels for the 6 WS will be as follows (fTP values in parentheses: )
** With Hagun: 100 (1.5625) > 300 (2.5) > 300 > 300 > 260 (2.25) > 200 (1.875)
** Other weapons: 100 > 200 > 300 > 220 (2) > 160 (1.75) > 100
* Damage will be written as such: [X.XX (WS damage) * Y.YY (SC bonus)] + [etc] + [etc] = Total
Let's run the numbers for Hagun users first.
Y > G (Frag) > K (Light) x2:
[0.625] + [1.333 * 1.6] + [1.133 * 2] + [1] + [1.2 * 1.6] + [0.85 * 2]
WS only total: 6.142
Total damage: 9.645
G > Y (Indu) > K (Comp) > Y (Deto) > K (Grav) > G (Dark)
[0.833] + [1 * 1.5] + [1.133 * 1.6] + [1 * 1.7] + [1.02 * 2.25] + [1 * 3.25]
WS only total: 5.987
Total damage: 11.392
Y > G (Frag) > G (Dist) > K (Fusn) > R (Grav) > G (Dark)
[0.625] + [1.333 * 1.6] + [1.333 * 1.75] + [1.133 * 2] + [0.5 * 2.25] + [1 * 3.25]
WS only total: 5.925
Total damage: 11.733
Conclusions:
* All three skillchains do approximately the same damage with their WS; if the enemy is immune to magic damage, all three chains are roughly equal.
* Both long Dark chains beat repeating Yukikaze > Gekko > Kasha by a wide margin (up to 20% more damage) when the enemy is susceptible to Skillchain damage.
* Despite Rana being a much weaker WS than Y/G/K, the skillchain it enables is slightly more damaging than the non-Rana Dark chain, while being more consistent (more likely that all WS will land, and no Lv.1 SCs means the enemy has to resist both elements in the Lv.2 SCs.)
* For either Dark chain to be weaker than spamming Gekko, all of the SCs would need to do less than 1/10 of their damage. Since the max possible resist is 1/8, this is impossible unless the mob has over 20% damage reduction (and even then, the odds of getting five 1/8th resists are less than 50%.)
For the sake of completeness, let's run the numbers for non-Hagun weapons.
Y > G (Frag) > K (Light) x2:
[0.75] + [1.2 * 1.6] + [1.36 * 2] + [0.96] + [1.12 * 1.6] + [0.85 * 2]
WS only total: 6.24
Total damage: 9.842
G > Y (Indu) > K (Comp) > Y (Deto) > K (Grav) > G (Dark)
[1] + [0.9 * 1.5] + [1.36 * 1.6] + [0.96 * 1.7] + [0.952 * 2.25] + [1 * 3.25]
WS only total: 6.172
Total damage: 11.55
Y > G (Frag) > G (Dist) > K (Fusn) > R (Grav) > G (Dark)
[0.75] + [1.2 * 1.6] + [1.6 * 1.75] + [1.088 * 2] + [0.6 * 2.25] + [1 * 3.25]
WS only total: 6.238
Total damage: 12.246
The results are practically the same. Note, however, that we didn't use the same scale for both sets of calculations. For the Hagun math, we used a 200 TP Gekko as the unit of damage (since Hagun adds 100 TP), while we used a 100 TP Gekko as the unit of damage in the second set of numbers. The similar results simply mean that the difference in damage between the various skillchains will be roughly the same regardless of weapon. It doesn't mean that you'll get the same amount of damage with and without Hagun.
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