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AoE in Patch 9.1.5 - The Math Behind AoE Soft Caps and Square Root Scaling
PTR
Geposted
08.09.2021 um 19:28
von
Squishei
The hard target caps that were added in Shadowlands for AoE abilities are being changed to soft caps in Patch 9.1.5. Under the new rules, most abilities will now hit all targets, using square root scaling to deal reduced damage to extra targets hit beyond the soft cap. In this post, we'll be breaking down the math of the new AoE caps and how much damage you'll deal with the new changes.
PTR 9.1.5 Build 40078 Datamining
Datamined Mage Tower Return
Send Anima to Alts - BoA Anima Cache
Broker Mark of Distinction - Renown 40 Catch Up
Patch 9.1.5 PTR Development Notes
Class & Spell Changes
AoE Soft Caps Math
Class and Spell Change - AoE Changes
Character Customizations
T20 Priest Recolor
T20 Warlock Recolor
T20 Warrior Recolor
Highmountain Tauren Customization
Void Elf Hair Customization
Mounts & Models
Lightforged Talbuk Mount
AoE Cap in Patch 9.1.5
in Patch 9.1.5, most abilities with a hard AoE cap are being changed to have a 5 or 8 target AoE soft cap. This means that abilities will deal reduced damage when hitting more than 5 or 8 targets. We've confirmed that the damage scaling follows a square root formula with the total damage calculated by the formula:
Total damage = (Damage on One Target) * (# Targets) * sqrt
The following chart shows how much damage your ability will be doing at each target count, compared to an ability that is fully uncapped.
While it hasn't been tested yet, it is assumed that the long standing 20 target cap is likely still in the game and will cap damage at 20 targets.
# Targets
% of Uncapped Damage
(5 Targets)
% of Uncapped Damage
(8 Targets)
1
100.00%
100.00%
2
100.00%
100.00%
3
100.00%
100.00%
4
100.00%
100.00%
5
100.00%
100.00%
6
91.29%
100.00%
7
84.52%
100.00%
8
79.06%
100.00%
9
74.54%
94.28%
10
70.71%
89.44%
11
67.42%
85.28%
12
64.55%
81.65%
13
62.02%
78.45%
14
59.76%
75.59%
15
57.74%
73.03%
16
55.90%
70.71%
17
54.23%
68.60%
18
52.70%
66.67%
19
51.30%
64.89%
20
50.00%
63.25%
Comparison to Shadowlands Patch 9.1
5 and 8 Target Abilities
When comparing this to Shadowlands Patch 9.1, abilities that were previously 5 or 8 targets will deal more damage than before the patch due to being able to hit more targets. Blizzard has clarified that unlike the PTR, they intend for abilities with a current 8 target cap to only square root after 8 targets.
This is how damage will scale with a 5 target and 8 target soft cap compared to it being uncapped.
Other Target Capped Abilities
The above changes are great for abilities which are capped at 5 and 8 targets. However, it is currently unknown what Blizzard will do with abilities that currently hit 6 targets such as
Explosivschuss
or 7 target abilities. The 6 target abilities are also currently listed as "deals reduced damage beyond 5 targets" on the PTR and Blizzard only clarified about 8 targets. 6 target abilities could have their soft cap changed to 6, or be left at the current value.
As a particular note, if 6 target abilities are being brought down to a soft cap of 5, this would result in a damage loss for the ability when hitting 6 or 7 targets. We'll have to watch and see what happens with these abilities in the future.
Damage Comparison Chart
Here is a chart which compares how much damage an ability will do in Patch 9.1.5 compared to Patch 9.1 again various target amounts. For the 6 Target Cap column, it's currently compared against a 5 soft cap because no other information has been mentioned about it and it's currently how it's listed on the PTR. We'll update the chart in the future if the 6 target abilities get moved to a 6 soft cap.
# Targets
5 Soft Cap
5 Soft Cap
(was 6 Hard Cap)
8 Soft Cap
1
0.00%
0.00%
0.00%
2
0.00%
0.00%
0.00%
3
0.00%
0.00%
0.00%
4
0.00%
0.00%
0.00%
5
0.00%
0.00%
0.00%
6
9.54%
-8.71%
0.00%
7
18.32%
-1.40%
0.00%
8
26.49%
5.41%
0.00%
9
34.16%
11.80%
6.07%
10
41.42%
17.85%
11.80%
11
48.32%
23.60%
17.26%
12
54.92%
29.10%
22.47%
13
61.25%
34.37%
27.48%
14
67.33%
39.44%
32.29%
15
73.21%
44.34%
36.93%
16
78.89%
49.07%
41.42%
17
84.39%
53.66%
45.77%
18
89.74%
58.11%
50.00%
19
94.94%
62.45%
54.11%
20
100.00%
66.67%
58.11%
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