PvE Ret: Righteousness vs Command

PvE Ret: Righteousness vs Command

by DrearyYew » Mon Jan 25, 2016 7:02 am

Given the impending release, I finally got around to doing the math around a Spell Power focused build using Seal of Righteousness versus the traditional 2H build focused on stacking mostly Attack Power. This math assumes you are a Human, as their racial means they require 1% less hit from gear to make hit cap.

WARNING: If you are allergic to math, please just read the bottom of the post.

SoR Retribution

SoR Base Damage w/ Ironfoe: 50 (20.833 DPS)
SoR Talented Base Damage: 57.5 (23.958 DPS)
SoR Base Scaling: 12.2% SP, 24.4% Holy Power (5.083% SP DPS, 10.167% Holy Power DPS)
SoR Talented Scaling: 15.13% SP, 30.87% Holy Power (6.304% SP DPS, 12.608% Holy Power DPS)
Ironfoe DPS: (43.5 + AP/14 DPS) x 0.559 for Boss Armor

Consecrate Scaling: 33% AP + 33% SP + 33% Holy Power over 8 seconds (4.125% of each DPS)
Consecrate Base Damage: 64 over 8 seconds (8 DPS)

JoR Base Damage: 170 (21.25 DPS)
JoR Talented Damage: 215.1 (26.88 DPS)
JoR Base Scaling: 50% SP + 50% Holy Power (6.25% SP + 6.25% Holy Power DPS)
JoR Talented Scaling: 63.25% SP + 63.25% Holy Power (7.91% SP + 7.91% Holy Power DPS)


Crit: 15% Bonus to Holy and Physical Damage for 8 seconds
Only White Swings and JoR can crit, JoR scales with Spell Crit

1% Attack Speed = 1% DPS bonus to SoR and White Swings = 0.8182 + AP*0.559/1400 + 0.0006304 x SP + 0.0012608 x Holy Power DPS

HoJ: Effective 2% Attack Speed (2% chance for 1 extra swing)
Ironfoe Proc: Effective 20% Attack Speed (10% chance for 2 extra swings)
Glove Enchant: 1% Attack Speed
Helm/Leg Enchant: 1% Attack Speed Each

Total Attack Speed Bonus: 25% Attack Speed

Assuming 25% Attack Speed at all times

1 AP = 0.04125 + 0.03993 x AS DPS (0.0837 DPS)
1 SP = 0.12035 + 0.06304 x AS DPS (0.1992 DPS)
1 HP = 0.12035 + 0.12608 x AS DPS (0.2780 DPS)
1 AS = 0.8182 DPS
1% Melee Crit = 0.2432 + 0.0003993 x AP ( + Subjective value to account for Vengeance, 0.4) DPS ~ 1.2422 DPS
1% Spell Crit = 0.1344 + 0.0003955 x SP + 0.0003955 x HP ( + Subjective value to account for Vengeance, 0.1) DPS ~ 0.4168 DPS

Weights:
1 AP = 1
1 Str = 2.42
1 SP = 2.38
1 HP = 3.32
1% Melee Crit = 14.84
1 Agi = 0.859
1% Spell Crit = 4.98
1 Int = 0.204

Base DPS:
SoR: 23.958 DPS
White Swings: 24.32 DPS
JoR: 26.88 DPS
Consecrate: 8 DPS

Base: 83.16 DPS
AS bonus: 20.46 DPS
Total: 103.62 DPS


Gear Weights


Offhand

Therazane's Touch: 78.54

Head

Lionheart Helm: 73.14
Mish'Undare: 98.16
R10 PvP: 107.89
R13 PvP: 129.24

Neck

Eye of Hakkar: 54.84
Choker of the Fire Lord: 82.35
Orb of the Darkmoon: 52.36
Onyxia Tooth Pendant: 25.15

Shoulder

R10 PvP: 83.11
R13 PvP: 87.00
Blackwing Cabal: 84.18

Cloak

Broodlord: 69.50

Chest

R10 PvP: 103.09
R13 PvP: 129.24
Malfurion's: 96.8

Bracers

Wristguards of Stability: 58.08
Dryad's Wrist Bindings: 53.99

Gloves:

R10 PvP: 110.28
R12 PvP: 128.06

Belt:

Primalist's Linked Waistguard: 89.28
Onslaught Girdle: 89.86
Firemaw's Clutch: 85.75

Legs:

R10 PvP: 105.51
R12 PvP: 130.97
Fallen Crusader: 90.13

Boots:

R10 PvP: 67.19
R12 PvP: 82.20
Chromatic Boots: 65.58
Dark Iron Boots of Holy Wrath: 69.72 - 76.36

Rings:

Ring of Spell Power: 78.54
Quick Strike Ring: 56.94
Circle of Applied Force: 47.94
Master Dragonslayer's Ring: 48.00
Don Julio's Band: 30.84

Trinkets:

HoJ: 22 + 2% Bonus to SoR Damage & White Swing Damage
Neltahrion's Tear: 104.72
Maelstrom: TBD
Drake Fang Talisman: 56
ZHC: 80.92
Briarwood Reed: 69.02

Set Bonuses:

R10 2-Set: 54.74
R13 6-Set: 54.74

Enchants:

Weapon: 30 SP - 71.4
Helm: 1% Attack Speed
Shoulders: 18 SP - 42.84
Chest: 4 Stats - 13.94
Bracer: 7 Str - 16.94
Gloves: 1% Attack Speed
Legs: 1% Attack Speed
Boots: 7 Agility - 6.01







For every 1 rating point, DPS increases by 0.0837 DPS. Base DPS is 103.62.
DPS without raid buffs/consumables/base character stats is 231.63.
DPS without raid buffs/consumables/ is 262.60.
DPS without raid buffs/consumables with 1 JotC is 307.34.
DPS without raid buffs/consumables with 2 JotC is 348.05

Raid Buffs:

Mark of the Wild: 56.43
Blessing of Might: 186
Battle Shout: 231.25
Trueshot Aura: 100
Arcane Intellect: 6.324

Consumables:

Elixir of the Mongoose: 50.3
Greater Arcane Elixir: 83.3

Brilliant Wizard Oil: 90.66



SoR Ret Total DPS: 415.37

SoR Ret BiS

Weapon: Ironfoe - Emperor Thaurissan
Offhand: Therazane's Touch - AV Exalted
Helm: Lionheart Helm - BS Crafted
Neck: Choker of the Firelord - Ragnaros
Shoulders: Mantle of the Blackwing Cabal - Razorgore
Cloak: Cloak of the Broodlord - Nefarian
Chest: R10 PvP
Bracers: Wristguards of Stability - MC Multiple Bosses
Gloves: R7 PvP
Belt: Onslaught Girdle - Ragnaros
Legs: R10 PvP
Boots: Chromatic Boots - Chromaggus
Ring1: Ring of Spell Power - MC Multiple Bosses
Ring2: Ring of Spell Power - MC Multiple Bosses
Trinket1: Neltharion's Tear - Nefarian
Trinket2: Hand of Justice - BRD Emperor



This BiS list uses R10 set instead of the R13 set because the 23 SP bonus can be achieved with only 2 pieces of the R10 set, whereas to achieve the 23 SP bonus with the R13 set, you would need to equip the entire set, which results in a loss of equivalence points when considering the hit cap.
Last edited by DrearyYew on Mon Jan 25, 2016 7:12 am, edited 2 times in total.
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Re: PvE Ret: Righteousness vs Command

by DrearyYew » Mon Jan 25, 2016 7:05 am

Command Retribution


Weapon DPS: (DPS + AP/14) x 1.06 x 0.559 for Boss Armor
Weapon Damage: (Damage + AP * Weapon Speed / 14) x 1.06
Seal of Command Damage: Weapon Damage x 0.77 + 22% SP + 125% Holy Power
Seal of Command Proc Rate: Weapon Speed x 7 / 60
Seal of Command DPS: Proc Rate x Damage

Ashkandi (3.5 Speed) White + Seal DPS: 74.27 + 6.61% AP + 2.57% SP + 14.58% Holy Power

Consecrate Scaling: 33% AP + 33% SP + 33% Holy Power over 8 seconds (4.125% of each DPS)
Consecrate Base Damage: 64 over 8 seconds (8 DPS)

JoComm Base Damage: 187.5
JoComm Talented Damage: 206 (25.75 DPS)
JoComm Base Scaling: 20% SP + 29% Holy Power
JoComm Talented Scaling: 22% SP + 31.9% Holy Power (2.75% SP + 3.99% Holy Power DPS)

Total DPS:

Ashkandi: 108.02 + 10.74% AP + 9.45% SP + 22.70% Holy Power DPS
Zin'Rokh: 95.40 + 10.95% AP + 9.45% SP + 22.70% Holy Power DPS


Crit: 15% Bonus to Holy and Physical Damage for 8 seconds
White Swings, Seal of Command, and Judgement of Command can Crit, and do 2x Damage

1 AP = 0.1074 + 0.000661 x Crit DPS (0 DPS)
1 SP = 0.0945 + 0.000532 x Crit DPS (0 DPS)
1 HP = 0.2270 + 0.001857 x Crit DPS (0 DPS)
1% Melee Crit = 1.0002 ( + Subjective value to account for Vengeance, 0.8 ) DPS ~ 1.8002 DPS

Weights:
1 AP = 1
1 Str = 2.42
1 SP = 0.88
1 HP = 2.11
1% Melee Crit = 16.76
1 Agi = 0.97

1 point = ~0.12 DPS

Command Ret BiS

Weapon: Ashkandi, Greatsword of the Brotherhood - 86
Helm: Helm of Endless Rage - 88.14
Neck: Eye of Hakkar - 56.76
Shoulders: Drake Talon Pauldrons - 67.8
Cloak: Cloak of Draconic Might - 54.24
Chest: Malfurion's Blessed Bulwark - 96.8
Bracers: Wristguards of Stability - 58.08
Gloves: Flameguard Gauntlets - 70.76
Belt: Onslaught Girdle - 91.78
Legs: Legguards of the Fallen Crusader - 89.1
Boots: Chromatic Boots - 67.8
Ring1: Quick Strike Ring - 58.86
Ring2: Circle of Applied Force - 50.38
Trinket1: Hand of Justice - 22 + 1.5% DPS Bonus
Trinket2: Drake Fang Talisman - 56



Base DPS: 108.02

Enchants:

Weapon: Crusader - 60.5
Helm: 8 Strength - 19.36
Shoulders: 30 AP - 30
Chest: 4 Stats - 13.56
Bracers: 9 Strength - 21.78
Gloves: 7 Strength - 16.94
Legs: 8 Strength - 19.36
Boots: 7 Agility - 6.79

Raid Buffs:

Mark of the Wild: 54.92
Blessing of Might: 186
Battle Shout: 231.25
Trueshot Aura: 100

Double Judgement of the Crusader: 607.68

Consumables:

Elixir of the Mongoose: 57.77
Elixir of Giants: 60.5

Smoked Desert Dumplings: 48.4

Elemental Sharpening Stone: 33.52

Total Points: 2584.33


2H Ret Total DPS: 418.14

SP Ret Total DPS: 415.37

2H beats SP by 0.667% (yes, 0.667%)


So, SP Ret in current gear is on par with 2H Ret on average. However, 2H Ret has the higher potential, as Seal of Command isn't set to a hard PPM, but a soft PPM, meaning it could possibly proc every swing on a fight. However, over extremely large sample sizes, you will see a proc rate of 7 procs per minute. This means that the actual DPS of the traditional 2H Ret build will vary greatly from fight to fight, whereas SP Ret is much more consistent.

With AQ coming out, SP Ret will surpass 2H Ret as SP gear becomes much more readily available, and 2H Ret will be stuck with Ashkandi until Naxxramas. SP Ret has the advantage of scaling better with gear than 2H Ret.
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Re: PvE Ret: Righteousness vs Command

by smilkovpetko » Mon Jan 25, 2016 6:08 pm

The problem are calculations :

Weapon Damage: (Damage + AP * Weapon Speed / 14) x 1.06


This is wrong formula.

Weapon Damage should be independent from Attack Power when you add to Seal of Command

Seal of Command is 70% weap damage + 1 Damage from 14 AP + SP Coefficient.

Seal of Command Damage: Weapon Damage x 0.70 + (1 / 14 AP) + 22% SP + 125% Holy Power

1 / 14 AP = 0.007142857.......

14 / 14 AP = 1 Damage.

Regarding Seal of Righteousness :

In server this is completely bugged and terrible .

Here is the formula that did match with retail videos that comes from 2006:
This is the Formula that wowwiki used in late TBC

https://web.archive.org/web/20071027162 ... so-ability

The level 9 paladin is using Pale Skinner where he shown his equipment
He is using Rank 1 Judgement of the Crusader and Rank 1 Seal of the Crusader

Using wowwiki formula which was finalized in late TBC for 1-handed this time:

http://wowwiki.wikia.com/wiki/Seal_of_R ... id=1096995

0,85 * (133,488 * MWS / 100) + 0,03 * (MW + mw) / 2 - 1

Using the order of operations by math http://www.mathgoodies.com/lessons/vol7 ... tions.html

0.85 (for 1h) * (133.488 * 2.20/100 for weapon speed in tooltip) = 0.85 (for 1h) * (133.488 * 0.022 for weapon speed in tooltip)
(133.488 * 0.022 for weapon speed in tooltip) = 2,936736 (for weapon speed in tooltip)
0.85 (for 1h) * 2,936736 (for weapon speed in tooltip) = 2.4962256 (for weapon speed and 1 hand)
0.03(weapon coefficient) * 29(min+max weap dmg) = 0.87 (from weapon coefficient)
0.87 (from weapon coefficient) / 2 (for 1h) = 0.435 (from weapon damage)
2.4962256 (for 1h +speed) + 0.435 (from weapon damage) = 2.9312256 (weapon speed+weapon damage)
2.9312256 (weapon speed+weapon damage) - 1 (for 1h) = 1.9312256 (seal of righteousness damage)

9.2% per 1.0 weapon speed * 2.20 (weapon speed) = 20.24% (increased spell damage by judgement of the crusade)
20 / 20.24% = 4.048 (damage increase by judgement of the crusade)

1.9312256 (seal of righteousness damage) + 4.048 (damage increase by judgement of the crusade) = 5.9792256 (judgement of the crusade + Seal of righteousness)

assuming the AP (according to wowwiki 220 AP=1 or 2 damage)

example with 220 ap = 1 damage assuming
(21 Ap unbuffed + 20 from blessing of might) = 41 (Attack Power)
(assuming 1 damage) 41 / 220 = 0.18636363636363636363636363636364 from AP
5.9792256 (judgement of the crusade + Seal of righteousness) + (assuming 1 damage) 0.18636363636363636363636363636364 = 6.165589236363636363636363636363 (Seal of righteousness with Judgement of the crusade + 41 attack power using 220 ap 1 damage)

(not sure how he was hitting sometime 7 but he swing mostly 6) but i assume the extra damage variation per chance (which shows the same on every other video from other expansions (TBC and Wotlk)

wowwiki shows 100% precise with the damage https://www.youtube.com/watch?v=9DymPtTBzB4 Uploaded on Jun 12, 2006

The level 32 paladin is using heavy spear (can be seen at the end) and he has Consecration, which means he might have used points in Improved Seal of Righteousness (but we don't know). Also he is using Rank 4 Seal of Righteousness

Using wowwiki formula which was finalized in late TBC for 2-handed this time:

1.2 * (668,676 * MWS / 100) + 0,03 * (MW + mw) / 2 + 1

Using the order of operations by math http://www.mathgoodies.com/lessons/vol7 ... tions.html

1.2 (for 2h) * (668.676 * 3.80 / 100 for weapon speed in tooltip) = 1.2 (for 2h) * (668.676 * 0.038 for weapon speed in tooltip)
(668.676 * 0.038 for weapon speed in tooltip) = 25.409688 (for weapon speed in tooltip)
1.2 (for 2h) * 25.409688 (for weapon speed in tooltip) = 30.4916256 (for weapon speed and 2 hand)
0.03(weapon coefficient) * 170 (min+max weap dmg) = 5.1 (from weapon coefficient)
5.1 (from weapon coefficient) / 2 (for 2h) = 2.55 (from weapon damage)
30.4916256 (for weapon speed and 2 hand) + 2.55 (from weapon damage) = 33.0416256 (weapon speed+weapon damage)
33.0416256 (weapon speed+weapon damage) + 1 (for 2h) = 34.0416256 (seal of righteousness damage)

assuming the AP (according to wowwiki 220 AP=1 or 2 damage)

example with 220 ap = 1 damage assuming
(at the very end of the video you could see that he have 300 AP by Gear)
(assuming 1 damage) 300 / 200 = 1.5 (damage gain by AP)
34.0416256 (seal of righteousness damage) + 1.5 (damage gain by AP) = 35.5416256

(not sure how he was hitting sometime 36 but he swing mostly 35) but i assume the extra damage variation per chance (which shows the same on every other video from other expansions (TBC and Wotlk)

wowwiki shows 100% precise with the damage https://www.youtube.com/watch?v=hdcWmvxGvoY Uploaded on Nov 2, 2006


Check the Links for Evidence that does match with Vanilla.


Also Consecration should never scale with Attack Power , there are evidences for this (not 1 but tons of them already) .

and here we are again :
https://www.youtube.com/watch?v=Y1_jBM9Jkpk
Uploaded on Nov 5, 2006

watch at 6:29
this guy crit with melee swing that proc vengeance
he use consecration and his consecration tick 58
then he use seal of the crusade (attack power)
then he use consecration tick 50
then he use seal of wisdom
he got vengeance proc and consecrate tick again 58
he consecrate using seal of wisdom and vengeance
his consecrate tick again 58
his vengeance runs off
his consecrate tick again 50

Evidence - it didn't work with attack power



And at the very end

Weights:
1 AP = 1
1 Str = 2.42
1 SP = 2.38
1 HP = 3.32
1% Melee Crit = 14.84
1 Agi = 0.859
1% Spell Crit = 4.98
1 Int = 0.204


Your Intellect Calculations makes no sense at all .

Mana requirement for normal raid fights is 17 k , this make Intellect + mana consumes most valuable and highest stat until you reach this point for Maximum DPS.
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Re: PvE Ret: Righteousness vs Command

by DrearyYew » Mon Jan 25, 2016 8:43 pm

can you just please never speak again
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Re: PvE Ret: Righteousness vs Command

by Imbaslap » Mon Jan 25, 2016 8:56 pm

DrearyYew wrote:can you just please never speak again

lol +1 :)
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Re: PvE Ret: Righteousness vs Command

by smilkovpetko » Mon Jan 25, 2016 8:59 pm

DrearyYew wrote:can you just please never speak again


better to post proofs and evidence instead false info. i am here to fix that.
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