(a.k.a chance to add freeze/corrosive/electric or fire DOT on target. Work in progress since there are a lot more tests that need doing …)
A few observations
- because the weapon/grenade granted elemental DOTs still DON’T benefit from the greatly enhanced elemental damage multipliers in TPS (so still negligible damage) this is mostly about chance to Freeze (and in Borderlands 2 about chance to slag) ; Crit damage Type A goes up by 200% per number of frozen targets.
- speaking of freeze, it doesn’t have great odds vs any defense type (unlike electric semi-guaranteed vs shields, fire very high vs health). And three times lower vs shields than vs health and armor.
- the actual chance used per projectile is hard to put on the weapon’s card because the some of the target’s parameters are factors, thus it will vary depending on what you’re shooting at ( defense type, level difference, ).
- level difference has a MASSIVE impact on the chance to apply elemental effects.
- Logging the value used and WHEN such rolls to apply the elemental effect even occur is still game-play VERY Relevant information. A LOT of character skills & Gear (much more than in Borderlands 2) revolve around altering various of those dice rolls to apply the elemental effects - if one doesn’t know how they work - how can they judge and compare their effectiveness relative to say damage related skills ?
- the chance to apply elemental effect displayed on the weapon’s gun is not a full blown lie, but is just a small factor in the calculation of the chance to apply elemental effects
- splashes don’t use the % as the main impact
- other (non-gun) sources of elemental damage such as grenades, nova shields, spike shields don’t take into consideration ALL of player stats/gear/perks that increase the odds to apply the elemental effect
- ATHENA’s storm Weaving seems to be absolutely, positively capable of achieving 100% freeze chance at level parity (1 shot !) with certain weapons and the chronicler of elpis. (Maybe even without it)
- Aurelia’s avalanche is quite strong at high levels AND also ups the chance to freeze for shard, grenades, nova, etc …
- Claptrap’s maniacal laughter doesn’t add that much (especially at 5/5 20% for the much better chronicler COM). Still with the proper weapons he has an easier than Wilhelm time to reach high freeze chance.
- cold war on Wilhelm with non cold weapon is un-reliable, happy accidents. Maxed cold war (5/5) with Chronicler of Elpis [ takes F9 from 1.49 to 1.59] and high chance cold weapon can bring him close to very short times to freeze times (maybe even 1 shot) vs health and/or armor. Probably not. Doesn’t seem to add that much. I don’t really know yet what the highest chance to freeze (legendary) weapons exist.
- still to test a lot of skills granting splash like damage (we know Aurelia’s Wintertide can freeze and loves Avalanche/Chronicler)
- list of Abilities that add splashes that trigger/don’t trigger extra freeze roll check ( YES : Aurelia Wintertide ; NO: Jack : Integrity )
Formula:
Chance To Apply Elemental Effect = CTAEE
CTAEE = F1 * F2 * F3 * F4 * F5 * F6 * F7 * F8 * F9 * F10
That’s right 10 factors ! I don’t know a lot about all of them yet, more tests will explain/edit in more in the future.
F1: (enemy resistance to the application of the elemental effect)
This is usually 1. I’ve seen this at 0.1 when attempting to freeze a glacial enemy. Not impossible, just 10 times harder. I’ve seen it at 0 when using fire dot vs darksiders (immune to fire DOT) .
F2: (base chance to apply effect of element type vs defense type) (TVHM mode tested)
Cold (15 vsHealth, 15 vsArmor, 5 vsShield)
Fire (30 vsHealth, 15 vsArmor, 15 vsShield)
Electric (15 vsHealth, 15 vsArmor, 75 vsShield)
Corrosive (15 vsHealth, 30 vsArmor, 15 vsShield)
F3: (??)
Never seen this other than 1 yet.
F4: A * B
splashes have the gun’s F4 * F5 here. (this is done since F5 =1 for splash and F7 <=1 , only max value 1 when splash lands dead center on target )
Yup, this one is a bit hard to explain.
A: (Semi-)hidden weapon parameter
The various weapon parts can have elemental chance application modifiers.
One can ‘calculate’ this value from the Weapon’s Card chance to apply effect like this:
F4 = (CardValue * 100) / (F5 * GenericElementApplyChance) // Possible problem here is the UI values tend to be rounded.
GenericElementApplyChance: Fire, Shock and Corrosive(20), Slag (30), (Cryo 15 TPS)
For example a Slag Maliwan Sniper Rifle that shows 56.3% :
F4 = 0.5625 * 100 / (1.5 * 30) = 1.25
Laser Railguns tend to have 2 here. Laser Splitters 0.(3). Laser Beams 0.4. Laser blaster (Maliwan) 0.6857… ?? Blaster Hyperion 0.5714 …
Unique weapons can have weird values here : Ex: Moxxi Vibro pulse 0.46
The various weapon parts can have elemental chance application modifiers.
Aurelia’s Bitter riposte has 100 * F9 here. (1 point freeze wonder).
Athena’s Prismatic Aspis has 100 here for all elements!! (pretty much guaranteed to apply elemental effects unless severe level difference , high resistance to the element)
Cold Jumping betties 1.2 ; vladoff cold 1.5.
Cold Spike shields have 3 here.
Cryo Novas from cryo nova Shields have 100 here …
Claptrap Rainbow Coolant novas have 999 here.
Elemental barrels have 100 here (pretty much guaranteed to apply elemental effects unless high resistance to the element)
Wilhelm’s Cold war used with Non-cold weapon types forces 100 here if separate dice roll to apply this succeeds.
ZX-1 legendary Has an extra dice roll per hit made with 100 !! value here.
B: (1 + sum of +element chance effects) ) . This only works for guns ! (MAIN HAND ONLY WHEN GUNZERK)
The BAR elemental effect chance is added here. And the effects of skills such as ATHENA’s storm Weaving and Claptrap’s Maniacal Laughter.
COMs, Oz kits and skills that boost the chance to apply a SPECIFIC element type aren’t used here but make up F9.
F5: (gun class elemental chance application multiplier)
Sniper Rifle 1.5, Laser Beam 1.15 , Laser Splitter & Railgun & Blaster 1, Rocket Launcher 1, Pistol 0.6, SMG 0.5, Shotgun 0.4, Assault Rifle 0.3
F6: F6: (Level Difference HUGE IMPACT!!)
lvl diff Attacker - Target and chance multiplier
Bellow Level 73
-6 *0.0; -5 *0.1; -4 *0.3; -3 *0.5; -2 *0.7; -1 *0.9; +3 *1.1; +4 *1.2 ; +5 *1.4; +6 *2
F7: (Seems to be reduction of chance to apply effect for splashes based on the distance between the center of the explosion of the splash and the target). So the splash’s chance to apply effect equals or approaches the gun’s chance to apply effect when the splash center of explosion lands right on the target. Splashes can apply effect to multiple enemies, but the ones on the edge of the splash will have reduced chance to get affected.
(gun)Splash-es usually have this <=1. This is also relevant for splatguns that don’t have gun damage impact just the big AOE splash …
F8: (1 + sum of specific element chance bonus) Only source I’ve seen this far is Eridian Vanquisher COM This ALSO APPLIES TO NON-gun sources of elemental damage (aurelia’s shard, grenades, skill and shield granted novas & spike shields, …)
F9: (1 + sum of specific element chance bonus). This ALSO APPLIES TO NON-gun sources of elemental damage (aurelia’s shard, grenades, skill and shield granted novas & spike shields, …)
From COMs, Oz kits and skills.
Examples:
Chronicler or Elpis extra freeze chance, Claptrap’s Short Circuit extra electrocute COMs (overkill much ?).
Aurelia’s Avalanche skill. Wilhelm’s ColdWar skill ALWAYs ON ice damage (grenades, novas etc …).
Dual Oz kits can have extra Specific Elemental chance.
F10: (??)
Never seen this other than 1 yet.
Some test numbers
//cold war test. Sadly I don't have the Chronicler of Elpis for Wilhelm yet. Might get it tonight and edit the test.
// The machine (legendary SR ice version, used vs health, appropriate level, 8% extra chance to apply elemental effect BAR)
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 1.0800 * 1.5000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 = 0.2430
//turn on cold war 10/10 Skill says +20% to cold weapons ; 50% on the other elementals. The 20% adds to F9.
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 1.0800 * 1.5000 * 1.0000 * 1.0000 * 1.0000 * 1.2000 * 1.0000 = 0.2916
// using non cold weapon
# Normal Hit = 1867.56189 using TMP ; Scaled Base Gun Damage (CARD) = 1236.23608 ; Sum of Additive Gun Damage Multiplier 0.51068 (beware exceptions!! & AMP SHIELD)
# Damage Type = CORROSIVE ; ElementalMul = 1.00000; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsShieldsMul 0.4; Intermediary Damage Value 1867.56189
110 9281113.000 Max 9280366.000 Cur 9281113.000 Prev 747.000 Damage 3CA37318 baseaddress Captured Lost L vsShield
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 1.0800 * 0.6000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 = 0.0972
# Chance to trigger effect 1.0000 * 5.0000 * 1.0000 * 100.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.2000 * 1.0000 = 6.0000
// ice vladoff grenade on Aurelia ; Frostbyte debuff integrated in the vs element multiplier; lvl 49 vs lvl 40
# Damage Type = COLD ; ElementalMul = 1.36400; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsHealthorArmorMul 1.56; Intermediary Damage Value 2556.62061
16 6781426.500 Max 6777438.000 Cur 6781426.500 Prev 3988.500 Damage 36E49B18 baseaddress Captured Lost L vsHealthOrArmor
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 1.3000 * 1.0000 * 2.0000 * 1.0000 * 1.0000 * 1.3735 * 1.0000 = 0.5357
// aurelia's shard ; Frostbyte debuff integrated in the vs element multiplier ; lvl 49 vs lvl 40
# Damage Type = COLD ; ElementalMul = 1.36400; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsHealthorArmorMul 1.56; Intermediary Damage Value 1844.59729
360 6781426.500 Max 6778549.000 Cur 6781426.500 Prev 2877.500 Damage 36E49B18 baseaddress Captured Lost L vsHealthOrArmor
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 0.6867 * 1.0000 * 2.0000 * 1.0000 * 1.0000 * 1.3735 * 1.0000 = 0.2830
// aurelia's bitter riposte 1/5 shard ; seems to Double dip F9.
# Damage Type = COLD ; ElementalMul = 1.36400; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsHealthorArmorMul 1.00; Intermediary Damage Value 4150.34375
119703 38035.766 Max 33885.422 Cur 38035.766 Prev 4150.344 Damage 4166C458 baseaddress Lil' Darksider vsHealthOrArmor
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 137.3500 * 1.0000 * 0.7000 * 0.9014 * 1.0000 * 1.3735 * 1.0000 = 17.8551
//Claptrap with Purple Maliwan Sniper Rifle. 5/5 Maniacal laughter; Splash % is inconsistent.
# Normal Hit = 1697.50342 using Corinthian ; Scaled Base Gun Damage (CARD) = 1801.31982 ; Sum of Additive Gun Damage Multiplier -0.05763 (beware exceptions!! & AMP SHIELD)
# Damage Type = COLD ; ElementalMul = 1.00000; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsHealthorArmorMul 1.00; Intermediary Damage Value 1697.50342
86828 16338.499 Max 14640.996 Cur 16338.499 Prev 1697.503 Damage 433BD5D8 baseaddress Lil' Madman vsHealthOrArmor
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 1.6000 * 1.5000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 = 0.3600
# Damage Type = COLD ; ElementalMul = 1.00000; ( GrenadeMul = 1.08372 ); address = 9DBE018
# vsHealthorArmorMul 1.00; Intermediary Damage Value 848.75171
16 16338.499 Max 13792.244 Cur 14640.996 Prev 848.752 Damage 433BD5D8 baseaddress Lil' Madman vsHealthOrArmor
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 2.4000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 * 1.0000 = 0.3600
...
# Chance to trigger effect 1.0000 * 15.0000 * 1.0000 * 2.4000 * 1.0000 * 1.1000 * 0.5982 * 1.0000 * 1.0000 * 1.0000 = 0.2369
// aurelia's winter's veil nova
TODO
. And where is this huge variance coming from , extra layer of RNG ??