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Member
Posts: 19,102
Joined: Jan 16 2012
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Feb 6 2020 04:22am
it's really easy then
take the skill calculator
http://www.diablo1.ru/poleznoe/calculator.php
set 20pt lightning, 10pt chain, 1pt bolt tele telek static mastery = 35 points
set +8 skill
then transfer point by point from chain lightning to mastery and check the dmg of lightning.
you should get a maximum of 2-2229
Member
Posts: 45
Joined: Jan 11 2020
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Feb 6 2020 04:54am
I used a different setup, but got to exactly 2-2229 aswell, weird! The thing is the synergies aswell as the mastery have diminishing returns, so I expected to get more than what you suggested with 2-3 points to synergies, but I got the exact same damage with 3 to all synergies.
I also already skilled that setup ingame and can confirm those 2-2229 dmg with 3 to all synergies.
Member
Posts: 19,102
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Feb 6 2020 07:26am
it doesn't matter what synergy you pick
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Feb 6 2020 12:20pm
The skill damage calculation has three components: base damage, synergy bonus, mastery bonus. They multiply.
% Lightning Skill Damage from equipment uses the same stat as Lightning Mastery (LM) and thus adds to the LM percentage (their sum is 'mastery bonus').

Lightning: https://www.theamazonbasin.com/wiki/index.php?title=Lightning (base maximum damage is listed in the table under 'Levels 1-60' - derived from the slvl-based formulae under 'Detail').
Lightning synergy bonus multiplier = 1 + 0.08·(Charged Bolt.blvl + Nova.blvl + Chain Lightning.blvl) <-- blvl: base level (only skill points spent in the skill count).
Lightning Mastery bonus multiplier = 1.38 + 0.12·slvl.

Now, we can simplify the above notation by defining:

b := base minimum damage (= 1, only mastery bonus applies to this),
B := base maximum damage (slvl-dependent, consult the table),
y := Charged Bolt.blvl + Nova.blvl + Chain Lightning.blvl (total # of synergy points),
L := combined % Lightning Skill Damage from equipment (not LM).

Say we have n = x + y + z skill points to distribute, where x = Lightning.blvl and z = Lightning Mastery.blvl, and s = bonus to Lightning Spells (+separate skill bonus to Lightning/LM - if present).
Then the task is to maximize the sum of the Lightning damage functions, d and D:

d = [ (1.38 + 0.12·(n - x - y + s) + 0.01·L) ]
D = [ [B(x+s(1 + 0.08·y)] · (1.38 + 0.12·(n - x - y + s) + 0.01·L) ]

Once n, s, and L are given, d and D become functions of two variables (x and y).

Quote (andy01q @ 5 Feb 2020 09:26)
After a bit of testing I'm not sure whether the table is even correct, but the calculator seems to match up with the talent description ingame. Either way Mastery seems to need to be on the same level as the synergies (+-1) and whether Lightning gets 19 or 20 points depends on the amount of synergies and if I end up putting something into ES (probably not) but with that logical restriction the optimal distribution is actually not even that hard to calculate and I THINK it is:
20 to Lightning
3 to Lightning Mastery and the 3 synergies
1 to Telekinesis, Teleport and Static Field
for 35 points and 2-2229 Lightning damage.
But I',m not sure if that's correct.
Seems weird that the Mastery needs to be at the same level as the synergies, might be wrong. Mainly got it from testing. Also didn't expect Lightning to need to be at 20+8=28, but kinda matches with what the table says.

If 35 points are to be distributed within the Lightning Spells tree - and 3 of those are devoted to Static Field, Telekinesis, and Teleport, this leaves us with n = 32.
You may want to check the two damage functions above against the skill calculator linked in post #11. They should yield similar results (for L = 0).

This post was edited by Quorra on Feb 6 2020 12:30pm
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