Methodology

In this section I will be detailing the various methods, and techniques used in order to calculate individual DoT base equations for a given class. This will include both qualitative and quantitative approaches to solving when appropriate. The main purpose of outlining my methods is to demonstrate just how these equations come about, as well as any conflict of obscure in-game phenomena and/or bugs involved that interact with said equations. I will be covering three main examples: Physical based DoTs, Magical based DoTs, and Hybrid DoTs. Each example becomes progressively more complicated to solve, as the amount of variables involved increase. Typically you can deduce what scaling a DoT will have on intuition (i.e. if it is a caster or melee class) however, the more practical way to tell is to simply observe how the DoT changes when you equip different enhancements, if your DoT is higher with WIS enhancements then it's most likely magical based, and vice-versa. If this test is inconclusive, then chances are it's a hybrid or non-stat based conditional DoT. Now, let's get into the more rigorous process:

Physical Based DoTs

Physical based DoT scaling concerns Weapon DPS and Weapon Damage, and as most DoTs, are often classified as Magical. These are the easiest equations to solve for because the only real variable is the weapon DPS, barring there are no other stat modifiers in the form of passives (such as All Out). You will also want to keep the enhancement level of your weapon of choice constant in order to mitigate any further discrepancies, we will touch on this more in the next example,where it's more relevant. Below you will see two side-by-side comparisons of Evolved Pumpkin Lord's HoT value, as well as its DPS value in the top left of the character stat panel. To find the scaling ratio we simply divide the HoT value by the weapon DPS and check to see whether this ratio remains constant across different DPS and HoT values. However, to find the true relationship we must first divide both values by the All Out passive, since it has a constant up-time the All Out boost is in fact squared, hence we divide both 241 and 289 with (1.1^2) to get their true values, which are ~199.17 and ~238.8. All that remains is to divide these values with their corresponding weapon DPS amounts, therefore we have:

• 199.17/153 = 1.30
• 238.8/184 = 1.30

Therefore, it follows that 'Siphoned' on Evolved Pumpkin Lord has a scaling of 130% Weapon DPS.

Magical Based DoTs

Calculating Magical Based DoTs is considerably harder because of two reasons: Firstly, the Spell DPS value, for whatever reason, is not displayed in the character stat panel and thus, since magical based DoTs scale off of Spell DPS and Spell damage, we will need to use an equation to calculate this value. Secondly, the Caster and hybrid class models have an innate Mag Out which scales with their INT value, and since most DoTs are classified as being Magical, we will need to take this into account when calculating their true scalings. More on Mag out being both a derived stat, and a modifier stat can be found in the Secondary stats section. Spell DPS and Weapon DPS are both calculated using the following sets of formulae:

• 'X' = 360 +[((Weapon Enhancement Level-1)/(level cap-1))^0.66]*1640. At weapon enhancement level 100 and character level 100, this value is 2000
• Weapon DPS = ((X/2000) * 0.85*100) + 0.1AP, where 'AP' is your total attack power
• Spell DPS = ((X/2000) * 0.85*100) + 0.1SP, where 'SP' is your total spell power
• Weapon Damage = Weapon DPS*2 (for refreshable DoTs)
• Spell Damage = Spell DPS*2 (for refreshable DoTs)

As you can see, the equations for both Weapon and Spell DPS are essentially the same, except you switch the variables accordingly. Of course since Weapon DPS is always visible to the player you would seldom need to use said equation, but it is necessary when calculating Spell DPS values.

Next we must address the Mag Out that scales with your total INT value, for casters and hybrids. If you'd like to see the full extent as to how much Mag Out is offered per unit INT depending on your current level, then you can read about it in the Secondary Stats section, For simplicity's sake, I'll state that 1 INT offers 0.126984127% Mag Out at level 100, and so we'd multiply this by our total INT to find the total Mag Out modifier.

Below you will see a side-by-side comparison of two healers with different enhancements and stat totals. For the Healer on the left 'Radiance' has a total value of 125. The Spell DPS works out to be (85+0.1SP), giving us a value of 162.5 Spell DPS. Next we need to calculate the total Mag Out, which would be (316*0.126984127%), which gives us a Mag Out of ~40%. Finally, to find the true ratio of Spell DPS we do the following calculation: 125/1.1 (Heal Out does not cause dot boost squaring)/1.4 = 81.16.

Now we must do the same for the Healer on the right: HoT total is 193, Spell DPS = 209.3, (538*0.126984127%) gives us a Mag Out of roughly 68.3%. Therefore we do the following calculation: 193/1.1/1.683 = 104.25

• 81.16/162.5 = 0.50.
• 104.25/209.3 = 0.50.

Therefore, it follows that 'Radiance' on Healer has a scaling of 50% Spell DPS.

Hybrid Based DoTs

And finally this leaves us at Hybrid DoTs. Much like magical based DoTs on caster classes, hybrid classes also experience this INT scaling Mag Out. However, hybrid based DoTs are hybrid in terms of their scaling NOT in terms of their classification. A skill/DoT can only be either magical or physical. Hybrid based DoT scaling concerns both Weapon DPS and Spell DPS and as a result, we will need to use a mathematical concept called 'Simultaneous equations' in order to calculate the individual percentages of Weapon DPS and Spell DPS that contribute to the base equation's scaling.

Below you will see yet another side-by-side comparison, this time of Legendary Elemental Warrior's DoT values along with their weapon DPS and Stat totals. However, Legendary elemental Warrior has 2 passives active, one of which increasing INT by 15%, the other increasing STR by 15%, so we will need to factor this in when calculating the relevant DPS values, as the character stat panel does not update upon unlocking a passive ability.

For simplicity I have chosen a class that has no damage modifiers, however, we still need to contend with the INT scaling Mag Out just as last time. On the first example to the left, we have a total INT of 432, increased by 15% leaves us at a new total of 496.8. Our total STR in this example is 198, increased by 15% leaves us at a new total of 227.7. Therefore, our Weapon and Spell DPS for this example is as follows:

• Spell DPS = [(496.8*2) + (207*0.7)]*0.1 + 85 = 198.9
• Weapon DPS = [(227.7*2) + (207*0.7)]*0.1 + 85 = 145.1

We now do exactly the same again for the example on the right; new INT = 227.7, new STR = 464.6, therefore:

• Spell DPS = [(227.7*2) + (113*0.7)]*0.1 + 85 = 138.5
• Weapon DPS = [(464.6*2) + (113*0.7)]*0.1 + 85 = 185.9

We must then eliminate one of the variables in order to isolate their contributions:

1. 198.9X + 145.1Y = (212/1.63), multiply through by 185.9 ---> 36,975.51x + 26,974.09y = 24,178.4
2. 138.5X + 185.9Y = (155/1.289), Multiply through by 145.1 ---> 20,096.35x + 26,974.09y = 17,448.02

Subtract equation 1 from equation 2 to solve for 'x':

• 16,879.16x = 6730.38, x = 6730.38/16.879.16 =0.40. Plug back into either equation to find 'y'.
• 198.9*0.40 + 145.1y = 212/1.63, 145.1y = 50.5, y = 50.5/145.1, = 0.35

Therefore, it follows that 'Blazing' on Legendary Elemental Warrior has a scaling of 40% Spell DPS + 35% Weapon DPS