Approximate Paladin TPS (PRE 2.1)

May 21, 2007 by Keiya

A general guide to our threat scalability in regards to spell damage. Note: A few things are off, the consecration formula for one, and me forgetting about the Precision talent for two...but by a marginal amount (around 5 TPS per tick). I will correct it and remove this message in the future. Possibly. Keep in mind that this is a very rough estimate, I wouldn't assume that these are exact values. Everything here is also calculated for 2.0.10 on the day BEFORE 2.1. I will have to change this later when I have time.

The following talents are assumed:

• Improved Righteous Fury: 1.9 threat multiplier
• Improved Judgement: 8 second Judgement cooldown.
• 5/5 One-Handed Weapon Specialization: 1.1 damage multiplier

These calculations assume that Seal of Righteousness, Judgement of Righteousness, Consecration and Holy Shield are continuously being spammed. I'm not calculating in Reckoning procs, spell/melee crits, or any other miscellaneous things that generate threat, so your actual threat generation is probably a bit higher than what I listed.

Just as a comparison, high end warriors (according to what I have read, I'm not a warrior) can produce TPS at around 1,000 on bosses. High end paladins with JotC up can probably push around 700 to 800 TPS, (estimated guess including all of the crap I left out of this article) possibly more (trying to be conservative).

If anyone can shed light on the TPS generation of the other tanking classes or any corrections to my calculations below please, do comment.

Multipliers and Miscellanea:

• Miss: 0.85 (chance for the attack to hit the mob). For every level a mob has over you, there is an approximate 5% chance that your spell or attack will miss, assuming that you have no +hit gear. So for a level 70 paladin, there is a 15% chance that he will miss against a level 73 mob. (I THINK it's 5% per level for melee attacks as well).
• Improved Righteous Fury: 1.9. Improved Righteous Fury gives your holy damage 90% more threat.
• One-Handed Weapon Specialization: 5/5 in 1H Weapon Spec will increase your 1H damage by 10%. Remember that this bonus applies to Seals and Judgements as well as melee attacks. All values in this table are calculated for pre-2.1 (in the next patch, this talent will increase ALL damage by 5%).
• The examples below each item assume a 92.2 total melee DPS, 1.8 speed weapon, and 200 spell damage.

Melee "white" damage:
No multiplier other than the 10% from the talent. Threat ratio is 1:1.
X = whatever your your melee DPS is (the tool tip on your character info screen will show this)
0.85 * 1.1 * X = TP

Example: 0.85 * 1.1 * 92.2 = 86.207 DPS/TPS

Seal of Righteousness:
Formula from WoWWiki: 22 + (2 *(WeaponSpeed*10)-30) + (WeaponSpeed * 0.092 * SpellDamage) = X DPS
0.85 * 1.1 * 1.9 * X = TPS

Example: 22 + (2 *(1.8*10)-30) + (1.8*0.092*200) = 61.12
0.85 * 1.1 * 1.9 * 61.12 = 108.57968 TPS

Judgement of Righteousness:
73% spell coefficient, 218 average unmodified damage
0.85 * 1.1 * 1.9 * (0.73 * SpellDamage + 218) = X Threat per JoR
X/8 = TPS

Example: (0.85 * 1.1 * 1.9 * (0.73 * 200+ 218) )/8 = 80.83075 TPS

Consecration
592 over 8 sec, 76.0% Coefficient
1.9 * (592 + 0.76 * SpellDamage)/8 = TPS (per tick)

Example: 1.9 * (592 + 0.76 * 200)/8 = 176.7 TPS

Holy Shield
155 Base Damage, 5% Coefficient (per block), 35% additional threat from HS damage.
1.9 * 1.35 * (155 + 0.05 * SpellDamage) = X Threat per block
TPS for Y number of blocks per application: (Y*X)/10 = TPS

Example: 1.9 * 1.35 * (155 + 0.05 * 200) = 423.225 Threat per block
Going to say that I block around 2 times per application on average.
(2*423.225)/10 = 84.645 TPS for 2 blocks per application

Pretty Pictures:
Chart 1 Chart 2Chart 1 shows TPS per ability and Chart 2 shows overall TPS. All spells are linear, which is to be expected since our threat scales directly with DPS. Consecration has a much higher base TPS (almost 3x SoR and JoR), but as SoR has the steepest gain. So as you stack on more spell damage, SoR becomes more valuable. It's still not as much TPS as consecration though, unless you stack on ludicrously high amounts of spell damage).

Keiya has an approximately 59% to 60% chance to block with holy shield activated. With a 2.0 mob attack speed that's 5 attacks in 10 seconds, and 3 blocks per application. I calculated in 2 to be conservative. Though HS doesn't have a very high coefficient, the more it procs the more your TPS will increase, by quite a bit.

There's no threat cap for paladins technically. In theory you could tank with 2,000 spell damage, which would certaintly increase your TPS but probably make you one-shottable :P

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