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Switch to Forum Live View DPR King Candidates 2.0
3 years ago  ::  Jan 09, 2010 - 11:14PM #31
Elder_basilisk
Date Joined: Dec 16, 2005
Posts: 2,524
Also, because I can, an encounter nova calculation for the level 1 Palavenger

Version 1: Average Damage: 42.5425
Setup round:
Move adjacent to target
Mark Target

Nova Round:
Minor: Oath of Enmity
Minor: Divine strength
Standard: Heedless Fury
Action point: Holy Strike

+8 roll twice vs AC 15 for 3d12+5+5 (divine strength)
+8 roll twice vs AC 15 for 1d12+7

Damage: .0975* (46+1d12)+ .8125 * 29.5 (blood of the mighty) plus .0975 * (19+1d12) +.8125 *13.5
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3 years ago  ::  Jan 09, 2010 - 11:23PM #32
Auspex7
Date Joined: Mar 31, 2008
Posts: 2,498
This build breaks 120 DPR using some conservative estimates. I'm not mathletic enough to figure out how to calc factors like the total value of the Keeper's Prescience roll. While I know that the crit rate of the first attack is 38.5% with the pre-roll, I don't know how to figure out the total accuracy benefit, the benefit of the pre-roll as a floating accuracy & crit buff (when not applied to the initial attack), etc.

I suspect that the actual DPR is at or above 130.

This one is also playable 1-30, and the itemization works in accordance with 'legal' standards.

*Human (Pursuit) Avenger/Student of Caiphon/Sage of Ages... with a Rending Urgrosh and Radiant feats and synergies.

Slap Chop Show

====== Created Using Wizards of the Coast D&D Character Builder ======
You're Gonna Love My Nuts, level 30
Human, Avenger, Student of Caiphon, Sage of Ages
Avenger's Censure: Censure of Pursuit
Pact Initiate: Pact Initiate (star pact)
Background: Occupation - Criminal (Thievery class skill)

FINAL ABILITY SCORES
Str 10, Con 13, Dex 24, Int 12, Wis 26, Cha 15.

STARTING ABILITY SCORES
Str 8, Con 11, Dex 16, Int 10, Wis 16, Cha 13.


AC: 47 Fort: 41 Reflex: 42 Will: 43
HP: 201 Surges: 8 Surge Value: 50

TRAINED SKILLS
Thievery +28, Religion +28, Stealth +28, Athletics +21, Perception +29, Arcana +28

UNTRAINED SKILLS
Acrobatics +22, Bluff +17, Diplomacy +17, Dungeoneering +29, Endurance +16, Heal +23, History +22, Insight +23, Intimidate +17, Nature +29, Streetwise +17

FEATS
Human: Improved Armor of Faith
Level 1: Weapon Proficiency (Urgrosh)
Level 2: Power of Skill
Level 4: Weapon Expertise (Axe)
Level 6: Two-Weapon Fighting
Level 8: Weapon Focus (Axe)
Level 10: Pact Initiate
Level 11: Painful Oath
Level 12: Two-Weapon Opening
Level 14: Reserve Maneuver
Level 16: Paragon Defenses (retrained to Robust Defenses at Level 21)
Level 18: Starfire Womb
Level 20: Pervasive Light
Level 21: Punishing Radiance
Level 22: Font of Radiance
Level 24: Triumphant Attack
Level 26: Divine Mastery
Level 28: Epic Fortitude
Level 30: Devastating Critical

POWERS
Avenger at-will 1: Overwhelming Strike
Avenger at-will 1: Bond of Retribution
Bonus At-Will Power: Radiant Vengeance
Reserve Maneuver: Fury's Advance
Avenger encounter 1: Angelic Alacrity
Avenger daily 1: Aspect of Might
Avenger utility 2: Distracting Flare
Avenger encounter 3: Fury's Advance
Avenger daily 5: Menacing Presence
Avenger utility 6: Aspect of Agility
Avenger encounter 7: Chains of Censure
Avenger daily 9: Temple of Shadow
Avenger utility 10: Wings of Vengeance
Avenger encounter 13: Crimson Stride (replaces Fury's Advance)
Avenger daily 15: Temple of Brilliance (replaces Temple of Shadow)
Avenger utility 16: Astral Cloak
Avenger encounter 17: Vengeful Parry (replaces Angelic Alacrity)
Avenger daily 19: Oath of the Inevitable Blade (replaces Menacing Presence)
Avenger utility 22: Twin Step
Avenger encounter 23: Bond of Justice (replaces Chains of Censure)
Avenger daily 25: Aspect of Death (replaces Aspect of Might)
Avenger encounter 27: Death Stroke (replaces Crimson Stride)
Avenger daily 29: Final Oath (replaces Oath of the Inevitable Blade)

ITEMS
Symbol of Divine Light +6, Rending Urgrosh +6, Battle Harness Starweave Armor +6, Iron Armbands of Power (epic tier), Amulet of Protection +6, Ring of the Radiant Storm (paragon tier), War Ring (paragon tier) (2), Many-Fingered Gloves (paragon tier), Assault Boots (paragon tier), Diamond Cincture (heroic tier), Backlash Tattoo (heroic tier), Crown of the Brilliant Sun (paragon tier)
====== Copy to Clipboard and Press the Import Button on the Summary Tab ======


DPR Calc/Estimation Notes
Whoomp! Show

Data and estimation used:

Base Bond of Retribution: +34 vs AC, 2d12+34 damage.

Damage Breakdown: +8 (Wisdom) +8 (Wisdom, Painful Oath) +3 (Focus) +1 (TWF) +2 (2 pieces, Gifts for the Queen set) +6 (enhancement) +6 (Iron Armbands of Power)

On Crit:
-- Target is knocked prone (Assault Boots)-- this gives CA for subsequent generated swings.
-- Target gains -2 to all defenses until end of the encounter (Triumphant Attack)
-- Target gains vuln 15 Radiant until the end of your next turn. (Punishing Radiance, Symbol of Divine Light)
-- While the target is vuln Radiant, all Divine attacks benefit from the vulnerability. (Pervasive Light)
-- make off-hand Overwhelming Strike (Two-Weapon Opening, Power of Skill). +39 vs AC, 2d6+38
-- make main hand Overwhelming Strike (Rending, Power of Skill). +39 vs AC, 2d12+39.
-- Font of Radiance effect applied to target. Effectively 3d6 ongoing (save ends), and it's worth noting that the first round will always be 3d6+15 due to vuln Radiant.

Turn after a crit, Bond of Retribution:

+36 vs AC, 2d12+49.

'Other' factors:
--Ring of the Radiant Storm allows you to roll twice for Radiant attack damage rolls-- including crits-- and use the higher result.

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3 years ago  ::  Jan 09, 2010 - 11:33PM #33
Melos
Date Joined: Nov 7, 2005
Posts: 1,444
The Divine Feycharger DPR of 451 is wrong.  The build uses Arcane Admixture(Thunder) on Virtuous Strike, which does not work by RAW.  The Echoes of Thunder damage needs to be subtracted from the DPR total since Virtuous Strike would not be a thunder attack power.
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3 years ago  ::  Jan 09, 2010 - 11:41PM #34
Intro
Date Joined: Aug 28, 2009
Posts: 11
For Level 1 DPR, I'd imagine a githzerai night stalker might be the way to go.

Githzerai Assassin
Dex 20, Cha 14
Feat: Githzerai Blade Master
Shadow Storm w/ Fullblade: +8 vs. AC, 1d12 + 5 (Dex) + 2 (Cha) + 1 (Power) + 2 (Feat)

DPR is 14.73 assuming that your target is isolated, and that you invoke your shrouds every round. You shouldn't, of course, but it's 2:30 a.m. and for the purpose of this exercise it's the most straightforward way to go about it.

(.65*(16.5+3.5))+(.05*(22+6.5+6))

EDIT: DPR assuming shrouds every other round: 15.24

Every third and fourth rounds bumps it up higher, but is less likely to be useful in a game situation (15.43 and 15.51, respectively). 
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3 years ago  ::  Jan 09, 2010 - 11:48PM #35
lordduskblade
Date Joined: Aug 17, 2007
Posts: 8,387
The Divine Feycharger hasn't been updated in a while, so maybe you could drop SongNSilence a line so he can fix it.

Just wanted to note: I recalculated my numbers with the Stormwarden (had to make an Excel sheet for it and everything >.>), but the DPR value is now 140.82.

Also wanted to note that the Ranger/Pit Fighter does not use Frost Weapons (didn't have the room with regards to feats).
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3 years ago  ::  Jan 10, 2010 - 4:53AM #36
Elwyndas
Date Joined: Jul 7, 2008
Posts: 1,749

Jan 9, 2010 -- 8:49PM, Elder_basilisk wrote:

Jan 9, 2010 -- 8:20PM, Elwyndas wrote:

Human Barbarian, level 1
Howling Strike
Str 20
Feats: Fullblade proficiency, Weapon Expertise (Heavy Blades)

Weapon: Fullblade
Attack: Howling Strike, +9 vs AC 15
Hit: 1d12+1d6+5
Miss: 0
Crit: 23+1d12, Rampage attack: +9 vs AC 15, 1d12+5, Crit: 17+1d12
DPR: 16.66

Unfortunately I'm too dumb to get the formula running in Excel, so I used this tool:
dndcalculator.blogspot.com/
Can you guys please help me out and educate me on how to set this up in Excel?




I don't see how this can possibly offer 16.66 DPR.

You hit on a 6 for a 70% chance for a normal hit and a 5% chance for a crit.
Normal hit average damage is 15. 70% of that is 10.5
On a crit, howling strike deals 23+1d12 for an average of 29.5. The crit directly contributes 1.475 to DPR for a DPR of 11.975
Then Rampage kicks in for a 70% chance of 11.5 damage and a 5% chance of 23.5. Those add 0.4025 and 0.05875 DPR to the total.
The total DPR I come up with is 12.43625

That's a long way from 16.66

--EDITED to reflect ElricEN's correction below--




I forgot to uncheck "roll twice". If I do the program comes to the same conclusion. Sorry for the waste of time. At least now we know that the software works
If he takes Powerful Charge instead of Expertise the charging DPR is 13.91. Not sure if that qualifies as entry...

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3 years ago  ::  Jan 10, 2010 - 8:55AM #37
Nelphine
Date Joined: May 30, 2005
Posts: 864
Hum.. I think I need to look at SongNSilence's build more closely - I can't get nearly as high DPR as he has, so I'm thinking that I must be missing at least 1 attack in the sequence... oh you know.. he uses dancing weapons, which I haven't accounted for yet.  My Goliath FeyCharger only reaches 220 DPR (probably.. 285 with a dancing weapon), although I don't use white lotus at all due to lacking an arcane attack.  I wish I could fit the Virtuous Strike into my build (as having a nice arcane melee basic is a wonderful thing), but I can't be 5 classes at once without a prohibitive feat cost.

Incidentally: Virtuous Strike IS an arcane power, via the feat Power of Arcana (which SongNSilence most certainly uses), thus the echoes of thunder.

Tum te tum..

Longtooth Shifter Fighter|Avenger(Swordmage/Barbarian)/Pit Fighter/Reincarnate Champion Feycharger 195 DPR Show


First: A rough look at how the Reincarnate Champion ED works with the Feycharger.  With an axe, not too well.

Edit: This is actually slightly too high - the Weapon Talent bonus doesn't apply to the off-hand attacks, which probably accounts for .. oh.. 1 DPR or so.

Longtooth Shifter (Fire Genasi/Eladrin)
Fighter|Avenger(Swordmage/Barbarian)/Pit Fighter/Reincarnate Champion
Windrise Ports
Str 14->22, Con 14->18, Dex 12->14, Int 11->13, Wis 16->28, Cha 8->10

Initiate of the Sword, Beserker's Fury, Feycharge, Eladrin Swordmage Advance, Double Axe Prof, Double Axe Expertise
Double Axe Focus, Deadly Axe, Power of Skill, Hybrid Talent (Weapon Talent: Two-Handed), Shocking Flame, Power Attack
Axe Mastery, Two-Weapon Fighting, Two-Weapon Opening, Hewing Charge, Powerful Charge, Reckless Charge

+6 Rending Double Axe, Epic Bracers of Mighty Striking, 2 War Rings, Epic Horned Helm, Guantlets of Destruction

Assume Oath of Enmity on Target (Since always using Overwhelming Strike, Hybrid Oath applies)

DPR:
Details of Each Attack Type Show

Charge using Overwhelming Strike (Power of Skill makes that a MBA)
To Hit: +15 lvl +9 wis +6 enh +2 prof +3 exp +1 talent +1 charge +1 reckless -2 power attack = +36 vs AC 44 = 12.25% miss chance
Crit = 19-20 = 19%
Hit = Rest = 68.75%

Damage: (2d10 base +3d6 horned helm, re-roll 1s) +9 wis +6 enh +6 item +4 hewing +2 powerful +9 power attack +4 shocking flame +9 pit fighter +3 feat +1 TWF = 77 avg damage
Crit: (3d10 (high crit) +2d10 (war ring) +6d6 (rending) re-rolling 1's) +20 (base max) +18 (helm max) +53 = 145
+Extra Main Hand Attack +Extra Offhand Attack

Main Hand Attack using Overwhelming Strike (Power of Skill makes that an MBA)
To Hit: +15 lvl +9 wis +6 enh +2 prof +3 exp +1 talent -2 power attack = +34 vs AC 44 = 20.25% miss chance
Crit = 19-20 = 19%
Hit = Rest = 60.75%

Damage: (2d10 base re-roll 1s) +9 wis +6 enh +6 item +9 power attack +4 shocking flame +9 pit fighter +3 feat +1 TWF = 59 avg damage
Crit: (3d10 (high crit) +2d10 (war ring) +6d6 (rending) re-rolling 1's) +20 (base max) +47 = 121
+Extra Main Hand Attack +Extra Offhand Attack

Off Hand Attack using Overwhelming Strike (Power of Skill makes that an MBA)
To Hit: +15 lvl +9 wis +6 enh +2 prof +3 exp +1 talent -2 power attack = +34 vs AC 44 = 20.25% miss chance
Crit = 19-20 = 19%
Hit = Rest = 60.75%

Damage: (2d10 base re-roll 1s) +9 wis +6 enh +6 item +6 power attack +4 shocking flame +9 pit fighter +3 feat = 55 avg damage
Crit: (3d10 (high crit) +2d10 (war ring) +6d6 (rending) re-rolling 1's) +20 (base max) +43 = 117
+Extra Main Hand Attack +Extra Offhand Attack


Charge: 12.25% miss (0) + 68.75% hit (77) +19% crit (145 +MHBA +OHBA)
Eladrin Swordmage Advance: 20.25% miss (0) +60.75% hit (59) +19% crit (121 +MHBA +OHBA)
Main Hand Basic Attack: 20.25% miss (0) +60.75% hit (59) +19% crit (121 +MHBA +OHBA)
Off Hand Basic Attack: 20.25% miss (0) +60.75% hit (55) +19% crit (117 +MHBA)

For various reasons, I will assume only up to three recursive crits 

DPR = Charge: 0.6875*77 + 0.19*145 + 0.19*0.6075*59 + 0.19*0.6075*55 + 0.19*0.19*121 + 0.19*0.19*117 + 0.19*0.19*0.6075*59 + 0.19*0.19*0.6075*59 + 0.19*0.19*0.6075*55 + 0.19*0.19*0.19*121 + 0.19*0.19*0.19*121 + 0.19*0.19*0.19*117
+ Eladrin Advance: 0.6075*59 + 0.19*121 + 0.19*0.6075*59 + 0.19*0.6075*55 + 0.19*0.19*121 + 0.19*0.19*117 + 0.19*0.19*0.6075*59 + 0.19*0.19*0.6075*59 + 0.19*0.19*0.6075*55 + 0.19*0.19*0.19*121 + 0.19*0.19*0.19*121 + 0.19*0.19*0.19*117
= 108.4942 + 86.83915

= 195.3333



Bugbear Ranger/Stormwarden/Reincarnate Champion, 137 DPR - needs Frost Weapons instead of Harmony, but also gains Lethal Hunter instead of Student of Sword Show


Bugbear (whatever you'd like + Fire Genasi)
Str 18->30, Con 10->13, Dex 13->20, Int 8->10, Wis 13->18, Cha 10->12
Two-Blade Fighting Style

Beserker's Fury, Bastard Sword Proficiency, Prime Strike, Two-Weapon Fighting, Two-Weapon Opening, Power Attack
Student of the Sword, Heavy Blade Expertise, Heavy Blade Focus, Wintertouched, Lasting Frost, Heavy Blade Mastery
Rending Tempest, Shocking Flame, Prime Punisher, Called Shot, Improved Prime Shot, Prime Hunter

Gauntlets of Destruction, Epic Iron Armbands of Power, 2 War Rings, +6 Harmony Bastard Sword, +6 Harmony Bastard Sword

To Hit: +15 lvl +10 Str +6 enh +2 stormwarden +2 prime shot +1 prime strike +1 prime hunter +3 exp +2 CA +3 prof -2 PA = +41 vs AC 44 (80% hit, 10% miss)
Crit: 19-20 (10% crit)
Main Hand Damage (2d12 reroll 1's) +4 shocking flame +5 called shot +3 feat +6 enh +6 item +1 TWF +5 cold +6 PA = 14 +36 = 50 avg
Crit = (8d6 reroll 1s) + 24 +36 = 92 avg + OHBA +OHBA
Off Hand Damage = 49 avg (no TWF)
Crit = 91 avg +OHBA
Off Hand MBA Damage = 66 avg (1 extra W from rending tempest +Str)
Crit = 113 avg +OHBA

DPR = 80% 50 + 80% 49 + 10% 92 + 10% 91 + 33.333% (recurring crits, each one has 1/10 the chance of the last one to crit and I have 3 chances off of the twin strike at 10% each) (85% 60 + 10% 113) = 40 + 39.2 + 9.2 + 9.1 + 1/3 (113) = 79.2 + 18.3 + 38.333 = 135.8333

Hunter's Quarry = 3d6 reroll 1s, crit 19%, hit 80%, crit = 18, hit = 12
DPR = 19% 18 + 80% 12 = 3.42 + 9.6 = 13.02

Rending Tempest = Extra 1d12 on Off Hand Twin Strike if Main Hand Twin Strike hits = 90% (80% 1d12 reroll 1s + 10% 12) = 0.90*(5.6+1.2) = 6.32

Stormwarden Lightning and Double Lightning Features = 10 DPR + 5 DPR to one other target

Total DPR = 135.8333 + 13.02 + 6.32 +10 = 159.17333

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3 years ago  ::  Jan 10, 2010 - 3:18PM #38
tl
Date Joined: Nov 25, 2006
Posts: 270
an idea I got about 1st level DPR; Curse of Io's Blood is probably the most damage you get for a feat
this assumes both I can be bloodied and that I can curse my target. if any of this can't be met, damage drops accordingly

Dragonborn Warlock 1
Str 20
Curse of Io's Blood
Maul MBA
Attack: +8 vs AC
Hit: 2d6 + 5 + 1d6 + 1 + 5        breakdown Show
5 (Str) + 2 (prof) + 1 (Dragonborn Fury)

DPR: (0.65*21.5)+(0.05*29)=15.425
DPR (Ch): (0.7*21.5)+(0.05*29)=16.5 (Ch)
previous entry with Eldritch Strike Show
Dragonborn Warlock 1
Str 16, Cha 20
Curse of Io's Blood
Maul Eldritch Strike
Attack: +8 vs AC
Hit: 2d6 + 5 + 1d6 + 1 +3

DPR: (0.65*19.5)+(0.05*27)=14.025
a solid third

EDIT3: just remembered that Eldritch Strike is a MBA, so I can charge...
everything the same, except
Attack: +9 vs AC
DPR=(0.7*19.5)+(0.05*27)=15.0
being MBA also means we pick up Bracers of Mighty Striking and go to town @2
previous entry with Eldritch Blast Show
Dragonborn Warlock 1
Str 16, Cha 20
Curse of Io's Blood
Eldritch Blast
Attack: +7 vs Ref
Hit: 1d10 + 5 + 1d6 + 1 +3

DPR: (0.7*18)+(0.05*25)=13.85
previous entry with Gorebrute Charge Show
EDIT: I know this is supposed to be at-will, but how about encounter long buffs? 
again, I need to be bloodied (Longtooth Shifting)

Longtooth Shifter Barbarian 1
Str 20
Gorebrute Charge
Maul Howling Strike
Attack: +8 vs AC
Hit: 2d6 + 1d6 + 5 + 2 + 3

DPR: (0.65*20.5)+(0.05*28)=14.725


EDIT2:

Jan 9, 2010 -- 11:41PM, Intro wrote:

For Level 1 DPR, I'd imagine a githzerai night stalker might be the way to go.

Githzerai Assassin
Dex 20, Cha 14
Feat: Githzerai Blade Master
Shadow Storm w/ Fullblade: +8 vs. AC, 1d12 + 5 (Dex) + 2 (Cha) + 1 (Power) + 2 (Feat)

DPR is 14.73 assuming that your target is isolated, and that you invoke your shrouds every round. You shouldn't, of course, but it's 2:30 a.m. and for the purpose of this exercise it's the most straightforward way to go about it.

(.65*(16.5+3.5))+(.05*(22+6.5+6))

EDIT: DPR assuming shrouds every other round: 15.24

Every third and fourth rounds bumps it up higher, but is less likely to be useful in a game situation (15.43 and 15.51, respectively). 


if you're stacking your shrouds to 4, you get more DPR from Leaping Shade, basically trading +1 to damage on every attack for +1/+2/+3/+0 rotation.
the least thinking required to calculate this is every round for itself and average (it's getting really late here :P)
DPR calculations for each round Show

DPR1: (0.65*16.5)+(0,05*27.5) = 12.10
DPR2: (0.65*17.5)+(0.05*28.5) = 12.80
DPR3: (0.65*18.5)+(0.05*29.5) = 13.50
DPR4: (0.65*(15.5+14))+(0.05*(26.5+24))+0.3*(10.5) = 24.4
average DPR: 15.8125
that's more then 1 point over my longtooth charger, and he uses his encounter power!
now I agree it's unpractical to wait for 4 shrouds, but blocks of tofu don't mind I guess Laughing

EDIT4: I found error in my math and corrected it, optimized Githzerai Assassin DPR is now 0,05 lower
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3 years ago  ::  Jan 10, 2010 - 6:34PM #39
Mengu74
Date Joined: Nov 16, 2007
Posts: 3,246
Just so we have a baseline for something to beat at level 6.

25.93 DPR Longtooth Shifter Ranger|Fighter (6), by Mengu74 (6,8;@)

DPR Relevant bits

Longtooth Shifter Ranger|Fighter 6

Str 20

Feats:
Hybrid Talent Tempest
Weapon Focus (Axe)
Weapon Expertise (Axe)
Lethal Hunter

Powers:
Twin Strike
Battle Fury Stance

Items:
Vicious Battleaxe +2
Blood Fury Handaxe +1
Iron Armbands

Assumption: You have already used your Blood Fury weapon to activate Longtooth Shifting (which lasts all encounter), and are in Battle Fury Stance (since it's an encounter power stance, it will be available for every encounter, all day).

Twin Strike
Battleaxe
+13 vs AC (+5 strength +3 level +2 proficiency +2 enhancement +1 expertise)
1d10+10 damage (+2 enhancement +1 feat +1 tempest + 2 item +2 shifting +2 stance)
Handaxe
+13 vs AC (+5 strength +3 level +2 proficiency +1 enhancement +1 expertise +1 tempest)
1d6+10 damage (+1 enhancement +1 feat +2 tempest + 2 item +2 shifting +2 stance)
Quarry
1d8

DPR = (lots of boring calculations) = 25.92875
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3 years ago  ::  Jan 10, 2010 - 6:35PM #40
Mengu74
Date Joined: Nov 16, 2007
Posts: 3,246
And now to beat the ranger with a somewhat odd charger build.

26.97 DPR Githzerai Avenger Charger (6), by Mengu74 ()

DPR Relevant bits:

Githzerai Avenger 6

Str 15, Wis 20

Feats:
Githzerai Weapon Training
Power of Skill
Powerful Charge
Power Attack

Powers:
Overwhelming Strike

Items:
Vanguard Fullblade +1
Horned Helm
Iron Armbands

Assumption: You are able to charge your Oath of Enmity target, and use power attack.

Overwhelming Strike
+11 vs AC (+5 wisdom +3 level +3 proficiency +1 enhancement +1 charge -2 power attack)
1d12+15+1d6+1d8 damage (+5 wisdom +1 enhancement +2 feat +2 item +2 powerful charge +3 power attack +1d6 horned helm +1d8 vanguard)

DPR = (0.0975x52)+(0.7425x29.5) = 26.97375

****************************
Update:

27.28 DPR Githzerai Avenger Charger (6), by Mengu74 (@)

Same as above except with Avenging Resolution instead of Power Attack, the DPR goes up a bit (thanks Suoitidure), Str 15 requirement can be removed, dragon material (@) added.

+13 vs AC (+5 wis +3 level +3 prof + 1 enh + 1 charge)
dice: 1d12 + 12 + 1d6 + 1d8 (1s and 2s are 3s)
average on hit: 6.75 + 12 + 4 + 4.875 = 27.625
average on crit: 38 + 6.75 + 4.875 = 49.625
DPR = (.91-.0975)*27.625 + .0975*49.625 = 27.2838 
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