EPTI want to go over some of the damage math though in regards to Athenes + either Ludens, Deathcap or Void in terms of a 2 item combo, so we can see just how much better one is than the other. For Void we'll also throw in a Blasting Wand as per usual.
So, this is what I want to look at:
Standard masteries, level 11, CDR/level runes (because with Ludens you sort of have to take them). 2 Drings.
Here's our AP values. With each build we have 33.91% CDR:
A+V: 230.79
A+L: 240.79
A+D: 313.027
Here's how much damage each skill does with each of these things:
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A+V
P = 150.70
Q = 336.16 1st, 168.08 2nd
W = 160.77 x2
E = 395.67
R = 599.13
A+L
P = 152.80
Q = 342.90 1st, 171.45 2nd
W = 164.27 x2
E = 401.94
R = 606.98
L = 142.30
A+D
P = 167.90
Q = 396.34 1st, 198.17 2nd
W = 189.55 x2
E = 447.26
R = 663.32
P = 150.70
Q = 336.16 1st, 168.08 2nd
W = 160.77 x2
E = 395.67
R = 599.13
A+L
P = 152.80
Q = 342.90 1st, 171.45 2nd
W = 164.27 x2
E = 401.94
R = 606.98
L = 142.30
A+D
P = 167.90
Q = 396.34 1st, 198.17 2nd
W = 189.55 x2
E = 447.26
R = 663.32
So here's how that translates into typical Lux damage rotations. All of these values are against a 60 MR target, which I am just sort of throwing out as an example.
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Poke damage (E only)
A+V = 301.66
A+L = 360.66
A+D = 296.39
Non ult combo (Q auto E auto)
A+V = 787.76
A+L = 820.45
A+D = 781.57
Ult combo on 1 target (QER)
A+V = 1129.65
A+L = 1091.39
A+D = 1109.88
Ult combo on 2 targets (QER)
A+V = 1001.50
A+L = 977.77
A+D = 978.56
Ult combo AOE damage (ER)
A+V = 758.46
A+L = 762.90
A+D = 739.97
Shield value
A+V = 160.77 x2
A+L = 164.27 x2
A+D = 189.55 x2
A+V = 301.66
A+L = 360.66
A+D = 296.39
Non ult combo (Q auto E auto)
A+V = 787.76
A+L = 820.45
A+D = 781.57
Ult combo on 1 target (QER)
A+V = 1129.65
A+L = 1091.39
A+D = 1109.88
Ult combo on 2 targets (QER)
A+V = 1001.50
A+L = 977.77
A+D = 978.56
Ult combo AOE damage (ER)
A+V = 758.46
A+L = 762.90
A+D = 739.97
Shield value
A+V = 160.77 x2
A+L = 164.27 x2
A+D = 189.55 x2
And here's how that translates into sustained damage values. Counting 1 Ludens proc per E. Again, a 60 MR target.
I'm using 40% CDR (so assuming blue buff) just to make the math easier on myself. The CDR is the same with each build so it doesn't actually make a difference.
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Single target DPS
A+V = 128.72
A+L = 129.41
A+D = 127.13
AOE DPS
A+V = 81.13
A+L = 87.29
A+D = 79.20
Shielding per second
A+V = 38.27
A+L = 39.11
A+D = 45.13
A+V = 128.72
A+L = 129.41
A+D = 127.13
AOE DPS
A+V = 81.13
A+L = 87.29
A+D = 79.20
Shielding per second
A+V = 38.27
A+L = 39.11
A+D = 45.13
Here are the secondary things to take into consideration when looking at this.
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#1 - For all of the AOE damage values, we're assuming Ludens Echo hits just as many people as the other AOE skills hit. This isn't going to always be the case.
If there's only one person then our spells can only hit one person. If our spells hit 2-4 people, then Ludens will also hit 2-4 people.
Ludens can only hit 4 people max, but I'd submit that if both our E and R hit all 5 people on the enemy team (VERY rare), we probably just won the teamfight right there and it doesn't make a difference what our items are, so we don't really care about the 5 person scenario.
However, it is possible, and arguably even likely that a spell that hits one person will still proc Ludens on multiple people. This means that for all of the AOE values above, it's likely that Ludens is actually going to perform slightly better than the numbers listed.
#2 - Ludens and Deathcap make CSing easier than Void Staff. Critically, Deathcap makes it easier if you hit the 25 minute timing window that I talk about in the guide, but doesn't if you don't hit that timing, while Ludens just always makes it easier, although not quite as much easier as Deathcap makes it if it hits said timing.
#3 - Ludens gives 7% movespeed.
#4 - Void is the easiest to build if you're behind and can't farm 1600g for an NLR.
#5 - Ludens 2nd makes your 4 item timing awkward, because it makes you choose between either Deathcap or Zhonya, which might force you into choosing a 4th item Zhonya for Athenes+Ludens+Void+Zhonya, which is not quite as efficient as Athenes+Deathcap+Void+Zhonya.
If for the individual game you can safely go Athenes+Ludens+Void+Deathcap it isn't a problem, however, so this really may or may not be an issue depending on the individual game.
If there's only one person then our spells can only hit one person. If our spells hit 2-4 people, then Ludens will also hit 2-4 people.
Ludens can only hit 4 people max, but I'd submit that if both our E and R hit all 5 people on the enemy team (VERY rare), we probably just won the teamfight right there and it doesn't make a difference what our items are, so we don't really care about the 5 person scenario.
However, it is possible, and arguably even likely that a spell that hits one person will still proc Ludens on multiple people. This means that for all of the AOE values above, it's likely that Ludens is actually going to perform slightly better than the numbers listed.
#2 - Ludens and Deathcap make CSing easier than Void Staff. Critically, Deathcap makes it easier if you hit the 25 minute timing window that I talk about in the guide, but doesn't if you don't hit that timing, while Ludens just always makes it easier, although not quite as much easier as Deathcap makes it if it hits said timing.
#3 - Ludens gives 7% movespeed.
#4 - Void is the easiest to build if you're behind and can't farm 1600g for an NLR.
#5 - Ludens 2nd makes your 4 item timing awkward, because it makes you choose between either Deathcap or Zhonya, which might force you into choosing a 4th item Zhonya for Athenes+Ludens+Void+Zhonya, which is not quite as efficient as Athenes+Deathcap+Void+Zhonya.
If for the individual game you can safely go Athenes+Ludens+Void+Deathcap it isn't a problem, however, so this really may or may not be an issue depending on the individual game.
Here are my conclusions based on this:
For Offense
Void staff in general outperforms Deathcap while costing less and being easier to build, by about 1-5% depending on target MR and so on. We already knew that.
For Ludens vs. Deathcap, in terms of single target damage (both burst and sustained), they are almost identical. However, Ludens is doing more AOE damage, both in terms of in lane poke damage and teamfight poke damage, by about 2%-10% depending on the individual circumstances. It is also more reliable at landing that poke damage.
For Ludens vs. Void, Void is equally better than Ludens in terms of single target damage, but Ludens is better than Void in terms of AOE damage.
So -
1st place = Ludens
2nd place = Void
3rd place = Deathcap
For Defense
Void is obviously the worst route in terms of defensive stats.
Deathcap gives 29-58 more burst shielding, and about 7 more shielding per second, while Ludens gives 7% movespeed. What's better is going to depend on the individual game, but in general I think I'd personally prefer Ludens in terms of defense. LS might disagree on this point but I think it's fairly preferential.
So -
1st place = Tie between Ludens and Deathcap, arguable
3rd place = Void
For CSing
Basically it's like this:
1st place = Deathcap if you can get it inside of the 25 minute timing window.
2nd place = Ludens
3rd place = Tie between Void and Deathcap if you can't get it inside of the 25 minute timing window.
For Utility
Ludens clearly wins for utility, because it provides 7% movespeed, and also has the added effect of increasing the ranges of your skills ability to do damage, and making your AOE damage more reliable in a teamfight (somebody can dodge an E but still get hit by the Ludens damage).
So -
1st place = Ludens
3rd place = Tie between Void and Deathcap.
So, tl;dr, this is what I'm going to recommend in the guide:
In matchups where you can safely take CDR/level runes, Ludens 2nd item is the ideal choice. It's going to entirely replace the Seraphs Embrace build order in the guide. Final build will be Athenes+Ludens+Void+Hat+Zhonya.
In matchups where you can't safely take CDR/level runes, you're gonna play just like you did before, and go Athenes into either Deathcap (standard), Void (if you're far ahead), or Morello (if you're far behind). Final build will be Athenes+Void+Hat+Zhonya + either a Morello or a defensive item.
Anybody have any questions or concerns about this?!?!?!?!?!?!etcetc11
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