Guild Wars 2: Damage Increase Part 2: Next Three Tiers

So in yesterday's post, I set up the basis of everything and explained everything thoroughly. Thanks to this we can jump directly into the calculation. Especially since it makes no sense to go through everything again.

Recap

For us to continue our adventure we need to recap necessary information though. Just like a developer imports any libraries they need. The next step would be to compare the fine equipment with the masterwork quality. To compare these we have to get the stats from the fine gear which were 499 power, 355 precision, and 355 ferocity. The average weapon damage was 726.5. The formula we use is the following:

avgdmg = weaponStrengthAvg * power * (1 + ((prec / 21 / 100) + 0.05) * ((fero / 15 / 100) + 0.5))

dmg stands for damage; weaponStrengthAvg stands for the average weapon strength; prec stands for precision; fero stands for ferocity;

Fine vs Masterwork

Going through masterwork items we finally find Berserker accessories, rings, and amulets but no backpack as of yet. So let's add these to our calculation.

Item Name	Power	Precision	Ferocity
Berserker's Prowler Mask	49	35	35
Berserker's Prowler Shoulders	37	26	26
Berserker's Prowler Coat	110	79	79
Berserker's Prowler Gloves	37	26	26
Berserker's Prowler Pants	73	52	52
Berserker's Prowler Boots	37	26	26
Berserker's Mithril Axe	98	70	70
Berserker's Mithril Axe	98	70	70
Berserker's Ring	73	52	52
Berserker's Ring	73	52	52
Berserker's Amulet	98	70	70
Ruby Mithril Earring	61	44	44
Ruby Mithril Earring	61	44	44
Total (Only armor and weapons)	539	384	384
Total (all)	905	646	646

Our weapon damage is 737 to 831. The average is (831 - 737) / 2 + 737 = 784.
Now that we have our data let's place both into the formula and see our results:

Fine damage:
726.5 * 1499 * (1 + ((355 / 21 / 100) + 0.05) * ((355 / 15 / 100) + 0.5)) = 1264753.86

Masterwork damage:
784 * 1539 * (1 + ((384 / 21 / 100) + 0.05) * ((384 / 15 / 100) + 0.5)) = 1418981.64

784 * 1905 * (1 + ((646 / 21 / 100) + 0.05) * ((646 / 15 / 100) + 0.5)) = 1990599.49

So if we just look at the same gear no new items the damage increase is (1418981.64 / 1264753.86) - 1 = 0.1219 or 12.19%.

If we take everything into account though the damage increase is (1990599.49 / 1264753.86) - 1 = 0.5739 or 57.39%. Understandable since we can now wear 5 new Berserker items.

Damage vs Armored Enemies

Since it's quite interesting to see how the numbers change when armor is considered to let's calculate this too using a target with 2597 armor.

1264753.86 / 2597 = 487

1418981.64 / 2597 = 546.39

1990599.49 / 2597 = 766.5

Masterwork vs Rare

The same procedure as before but different stats now.

Item Name	Power	Precision	Ferocity
Berserker's Masquerade Mantle	53	38	38
Berserker's Banded Pauldrons of Infiltration	40	28	28
Berserker's Panded Coat of Grenth	119	85	85
Berserker's Banded Gauntlets of Infiltration	40	28	28
Berserker's Banded Legs of Lyssa	79	57	57
Berserker's Banded Greaves of the Eagle	40	28	28
Berserker's Iron Axe of Accuracy	106	75	75
Berserker's Iron Axe of Accuracy	106	75	75
Berserker's Ring	79	57	57
Berserker's Ring	79	57	57
Berserker's Amulet	106	75	75
Ruby Mithril Earring	66	47	47
Ruby Mithril Earring	66	47	47
Total	979	697	697

The weapon damage is 759 to 928. On average that's (928 - 759) / 2 + 759 = 843.5. Calculating the damage and comparing it we get:

Masterwork:
784 * 1905 * (1 + ((646 / 21 / 100) + 0.05) * ((646 / 15 / 100) + 0.5)) = 1990599.49

Rare:
843.5 * 1979 * (1 + ((697 / 21 / 100) + 0.05) * ((697 / 15 / 100) + 0.5)) = 2284269.66

So the damage has increased by (2284269.66 / 1990599.49) - 1 = 0.1475 or 14.75%.

Damage vs Armored Enemies

Comparing the damage done on armored enemies we get these results:

1990599.49 / 2597 = 766.5

2284269.66 / 2597 = 879.58

Rare vs Exotic

And for the last time for today the same procedure.

Item Name	Power	Precision	Ferocity
Berserker's Draconic Helm	60	43	43
Berserker's Draconic Pauldrons	45	32	32
Berserker's Draconic Coat	134	96	96
Berserker's Draconic Gauntlets	45	32	32
Berserker's Draconic Legs	90	64	64
Berserker's Draconic Boots	45	32	32
Mystic Battleaxe	120	85	85
Mystic Battleaxe	120	85	85
Berserker's Ring	90	64	64
Berserker's Ring	90	64	64
Berserker's Amulet	120	85	85
Ruby Orichalcum Earring	75	53	53
Ruby Orichalcum Earring	75	53	53
Prototype Fractal Capacitor	30	21	21
Total (without back)	1109	788	788
Total (with back)	1139	809	809

Exotic weapons have a damage range of 857 to 1048 which means their average is at (1048 - 857) / 2 + 857 = 952.5. Calculating the last comparison we get:

Rare:
843.5 * 1979 * (1 + ((697 / 21 / 100) + 0.05) * ((697 / 15 / 100) + 0.5)) = 2284269.66

Exotic:
952.5 * 2109 * (1 + ((788 / 21 / 100) + 0.05) * ((788 / 15 / 100) + 0.5)) = 2884690.79

With backpack:
952.5 * 2139 * (1 + ((809 / 21 / 100) + 0.05) * ((809 / 15 / 100) + 0.5)) = 2959029.46

So the damage increase without backpack is (2884690.79 / 2284269.66) - 1 = 0.2629 or 26.29% and with backpack it's (2959029.46 / 2284269.66) - 1 = 0.2954 or 29.54%

Damage vs Armored Enemies

And the last time let's check our damage against those pesky enemies that have 2597 armor.

2284269.66 / 2597 = 879.58

2884690.79 / 2597 = 1110.78

2959029.46 / 2597 = 1139.40

Conclusion

Got through almost all tiers. The last quality missing is ascended but that's another topic. So now we know that the jump from fine to masterwork quality gave us the most damage increase. Of course, since we got access to additional items. If we ignore that fact the biggest jump was from basic to fine. So overall, we see the highest jumps at the lower quality tiers though the jump from rare to exotic is higher than the jumps in the middle. Another thing we notice is that the jumps between qualities are not equal. They also seem random jumping to higher or lower numbers. We could conclude that there's no formula to calculate these values in the background. Another proof for this would be that if you count all your stats and compare the result with the number in the tooltip there's no rounding error. So compared to WildStar these numbers seem to have no floating-point part.

Last but not least let's get the total damage increase. To calculate this we multiply each damage increase with the factor of one.

1.3852 * 1.5739 * 1.1475 * 1.2629 = 3.1594

This means upgrading from basic to exotic you deal a little more than 3 times as much damage. Your damage increased by 315.94% - 100% = 215.94%.

And next week we'll compare the exotic and ascended gear.