Damage Per Round(DPR) is a great way to measure the expected damage of a character vs. a normal monster appropiate for your level. While we don't always face monsters of equal level, it still is a good measure for comparison.
DPR is calculated by taking your average damage when you hit, and multiplying that by the chances of hitting. Crits need some extra help to get a more accurate DPR.
Kills Per Round (KPR), is a version of your DPR that we use to compensate for your level, so we can compare builds regardless of level. To convert your DPR into KPR simply divide the DPR by 8*level+24 (the growth rate of the average monster per level).
KPR = DPR/(8*Level + 24)
See my signature for a guage of what KPR values you should expect.
DPR = Damage Per round ~= Chance to hit * damage on a hit KPR = Kills Per Round. 1 Kill = 8*Level+24 damage = DPR/(8*level+24) KPNR = Kills Per N Rounds. How many standards can you kill in N rounds?
10/22/11 - Level 6 will now have a seperate section for those that charge. The charger's chassis simply adds so much DPR we need a way to see an arena for those that don't charge. 10/22/11 - Part 6: Updated Area -> Single target DPR conversion. You can now use a closed form formula instead of a chart. I have posted both 10/22/11 - Part 5: 103.8 average damage Drow Assassin(12th), by Bohrdumb , Charles Lee was nerfed from the now non-charging Throw and stab and has been replaced by 32 DPR bouncing Gogo(6th), by Denubis , 33.17 DPR Human Scout(5th), by Talamare , 47 DPR Human Scout(6th), by Talamare 10/22/11 - Part 4: 52 DPR(1st target), 37 DPR(2nd) Revenant Monk(12th), by Illeist , 49.6 DPR(Ch, mount)/38 DPR(Ch) Human, Warlock|Executioner(6th), by curiousdragon , 122.76 DPR(Ch) Pushy Slayer(24th), by Driim(&)[nAC=14, nFort=12,nRef=8, nWill=9] , Non-item specific version: 91.805 DPR(Ch) Pushy Slayer(24th), by Driim()[nAC=14, nFort=13,nRef=9, nWill=10] and he's the King of his category!!!! 10/22/11 - Part 3: 14.6 DPR Spelldancer,Human Bladesinger(1st), by Sphar , 476 DPR Human Avenger|Fighter/Kulkor Arms Master/Thief of Legend(30th), by Nelphine an Langeweille , Updated Scout Lvl 1 king to 22.65(Ch, CA), 13.4 DPR , 43 DPR vs. prone/ 47 DPR(Ch, CA) Mul, Slayer(6th), by ZombieJ , 41 DPR vs. prone/ 45 DPR(CA, Ch) Human, Blackguard(6th), by Zombiej 10/22/11 - Part 2: 24/30 Encounter Nova entries: 641.02 DPR Encounter DPR Mul Second Winder(24th), by Eustacio(18@&) , 938.84 DPR Encounter DPR Mul Second Winder(30th), by Eustacio(18@&) , Updated 4936 average damage Hurricane Ivan(30th), by Fardiz 10/22/11 - Part 1: 102 DPR/115 DPR if foe attacks back Half-elf Kulkor Knight(16th), by Azimuth76 , Alternate interpretations reduce Battlemind DPR king to 864 DPR, 24.5 DPR Warlock|Executioner (1st), by Mog0025 (8,@,CA,Ch) , NEW KING!!! 2142 DPR(2440 post-milestone) DPR/864Blender Mark 2(30th), by mellored , 8/27/11 - added 53.2 DPR Avengerlock of Caiphon(16th), by IronSky , and 5000 average damage Hurricane Ivan(30th), by Fardiz to daily nova section 8/27/11 - added 123 DPR blade singer(30th), by mellored , 258 DPR radiant twinstrike avenger(30th), by mellored(1269+@) , 84 DPR Human Scout/Fighter/Kensei(12th)[1&], by Kryx , 130.2 DPR Ioun's Revenge(16th), by Stryx NEW level 16 king!!! and a 2570 average damage Avenger-Ranger-PMC-ESeeker(30th), by ryuwizard98 to the daily nova section 8/9/11 - removed 16th level version of Murderous Mind. His Brutal Sorcerer brother is still there and kicking though. Have at him boys. 7/18/11 - updated 84 DPR Arrow(12th), by Anihilation(1, 6, 8) and added daily nova of 458 Average Damage Nova 7/16/11 - Added 19.1/22.5(Riposte) DPR Bugbear Rogue|Warden(1st), by Iron Sky 7/16/11 - Murderous Mind is now nerfed and needs to be recalculated to regain his second place. Added Iron sky's daggermaster replacement coming in at 50-92 DPR, and Level 12 Bugbear Ranger daily nova scoring 337 average damage 7/16/11 - Added 557 average damage Bruttal Artificer(16th), by AdamClare daily nova, 39.6/44.4 DPR Radiant Blackguard(12th), by Iron Sky which has a nova script but no damage calculation, Added note to Arrow(12th) that his feats need to be fixed, 15.1 to 23.1 DPR (CA,CH)Vryloka/Dragonborn Blackguard(1st), by delewobmesid, Pyronious was nerfed says Iron Sky, HeRaw's daggermaster uses prenerfed bloodirons. DPR recalculation is needed for reinstatment. 5/31/11 - a new 12th level king added 84.0 DPR Arrow(12th), by Anihilation (1, 6, 8) , added 13.8(CA) DPR FEROCIOUS STRIKE blackguard(1st), by Sphar 5/22/11 - added new key for Hellish Rebuke(3) abusers, due to the touchy nature of it's acceptability at a game (Self inflicted damage triggres rebuke and gets all static modifiers). 5/22/11 - Updated!!! 22.25 DPR(CA) 23.72 DPR(CA,Ch) Revenant Scout(1st), by Scottbert and KingFuJoe, 108 DPR (295 DPR 1 enc/day) half-elf CHAguard(30th), by thspaceinvader , 117.015 DPR Revenant Monk|Sorcerer/Lightning Fury/Destined Scion (30th), by dragon4e , 267.53 DPR(Ch)Bugbear Avenger/Kulkor Arms Master/Destined Scion(30th), by Taikishi , 244 DPR Twinthunder(30th) by dragon4e , 153.5 average damage Annie Oakley, Crossbow Entertainer Extraordinaire(16th), by Mommy_was_an_Orc (nova candidate) 364.8 average damage Annie Oakley, Crossbow Entertainer Extraordinaire(30th), by Mommy_was_an_Orc , 25.23 dpr(Ch, CA) 19.66 DPR Human Scout(1st), by Huin , 231 DPR Dark Star(30th), by MC-DrowBane , 523.57 DPR SeptBlade(30th), by mellored 2/14/11 - Happy Valentine's day!! AoE convertion to Single target DPR is now established below. SongNSilence submitted 221 DPR(58 DPR friendly 7x7 +22 primary) thief of thunder(30th), by SongNSilence, 230 DPR(66 DPR friendly 7x7) Genasi Blaster Wizard(30th), by SongNSilence, 247 DPR(74 DPR friendly 7x7) Precise Genasi Blaster Wizard(30th), by SongNSilence 2/7/11 - updated L16 thief to be legal. 107 DPR isn't bad Please refer to my next post to see old updates 2/3/11 - ergsome Kulkor Arms Student's requirement of proficiency in versatile mace, axe, or hammer has made the thief temporarily invalid in paragon 2/3/11 - added nova candidate 54.78 damage Drow Scout Bravo(6th), by jonathan_sicari and DPR candidate 35.43 DPR(CA) Drow Scout Bravo(6th), by jonathan_sicari , 109 DPRInfernal Hexblade charger(16th), by Veleria , and updated super duper knight's DPR to 176.84 1/27/11 - changed Charles Lee's 1st level damage to 18.5 DPR(main target) 6.5(secondary) 1/26/11 - 175.94 DPR Super Duper Knight(30th), by mellored, 25.38 DPR Charles Lee(1st), by Suzume_Stjohn (HOLY CRAPPP!!!), 39.5 DPR (35-40ish) Charles Lee(6th), by suzume_Stjohn, 20.5 DPR Falco Venger(6th), by Iron Sky 11/9/10 - added The_Big_Bang:_A_Guide_to_Novas Updated the bugbear thief's DPR and marilith summoner, killing the avenger version 10/22/10 - added 379 DPR Avenging Marilith Summoner(30th), by Nelphine, 64.59(no AP)(77.59(CA,no AP)) damage Half-Orc Rogue|Monk(6th) (8) encounter nova candidate, 83(no AP)(96(CA,no AP)) damage Half-Orc Rogue|Monk(6th) (8) daily nova candidate, 77.5 DPR Mora the unkillable avenger(30th), by mellored, Pyronious updated to 216.7 + 116.7(5x5) DPR and check out the variant (archspell instead of demigod), 100.1 DPR Human Thief(16th), by Langeweile, 82.82 DPR Bugbear Rogue(12th), by langeweile, 103.6 DPR Bugbear Rogue(16th), by langeweile, 180 DPR Avenger charger(30th), by Nelphine 10/16/10 - added 160 DPR UberSuperCharger(30th), by Nelphine, 22.2 DPR(CA,Ch) Human Thief(1st), by Langeweile, 21.1 DPR(CA,Ch) Human Slayer(1st), by Lej, 24 DPR(CA,Ch) Acrobatic Human Thief(1st), by Lej, and 48-54 DPR(CA,Ch) Human Thief(6th), by Langeweile 10/12/10 - added DPR calculation tutorial in my second post. 10/6/10 - added 20.95 DPR(CA) Human thief(1st), by Alekren 10/4/10 - 56.6 DPR(5x5) Pyronious(16th), by IronSky, and 112 DPR(5x5) Pyronious(30th), by IronSky, and 135 DPR(single attack) Warforged MonkLock(Barbarian)/Warforged Juggernaut/Reincarnate Champion(30th), by Nelphine 9/27/10 - added 20.83 DPR(CA) Bugbear Brutal Scoundrel Rogue(martial rapier)(1st), by EvilKurt 9/27/10 - sorry for the broken links. I'm contacting WotC about this. 9/27/10 - Rogue | swordmage builds relying on riposte strike have been thrown into the nerf bin due to the inability to accurately calculate monster's to-hit vs. allies as that is their best option, and thus no SA on a MBA. 9/25/10 - added 37.44 DPR Strangler (bugbear rogue)(6th), by Langeweile 9/25/10 - added the new level 1 king 27.7 DPR(CA)Bugbear Brutal Scoundral Rogue | Swordmage(1st), by Evilkurt 9/16/10 - added 23.8(CA) DPR Human Rogue|Swordmage 1(1st), by tl, and 255 DPR Bugbear Avenger/PMC Ranger/Martial Archetype(30th), by Nelphine, and 140 DPR Bugbear Avenger/Ardent Champion/Eternal Defender(30th), by Nelphine(common only), and 40-66(buffed) DPR Frostbow of Sehanine(12th), by RtrnofdMax 9/8/10 - encounter nova 838 damage Damage Inc.(30th), by MC-DrowBane , and daily nova 2220 damage Damage Inc.(30th), by MC-DrowBane 9/8/10 - added encounter nova 189+5/Soul Shard damage Deadly Little Miho(11th), by MC-DrowBane, 705 damage Deadly Little Miho(30th), by MC-DrowBane, and daily nova 1,502+15/Soul Shard damage Deadly Little Miho(30th), by MC-DrowBane 9/02/10 - 42.7 DPR(CA,Ch) Hybrid Fighter/Ranger Charge mount(6th), by RX-75, and 40.19 DPR (CA) Bugbear Brutal Rogue|Swordmage (6th) by tl (8@&) 8/26/10 - added 3155-3800 damage Massacre of the Gods nova(30th), by Nelphine(daily nova), and 34 DPR, 57 DPR, 226 DPR One Stroke to Kill Them All(6th, 16th, 30th), by Nelphine 8/24/10 - 70.6 DPR Achilles(16th), by langeweile 8/23/10 - added new key element & Rare/Uncommon item usage 8/18/10 - 90 DPR WarWarWarFight(24th), by mellowship(@) and updated 180 DPR Revenant Charger(warlock)(24th), by VonLazuli(@), these builds, added 15.6(Riposte)-17(Ch) DPR Dark Paladin(1st), by ethaenn1(@) 8/13/10 - updated the following build to 177.615 + Prone 8/11/10 - 188.63 DPR + Prone Warlock|Assassin Kulkor Charger(30th), by Squad(@) 8/11/10 - added 1095 DPR Genasi, Battlemind|Sorcerer, Lightning Fury, Invincible Mind(30th), by Kergma(@) 8/11/10 - added Strength based 14.6 DPR Essentials dwarf(1st), by KungFuJoe() 8/11/10 - updated Kergma's L30 blender DPR to 1095 9/8/10 - encounter nova 838 damage Damage Inc.(30th), by MC-DrowBane , and daily nova 2220 damage Damage Inc.(30th), by MC-DrowBane 9/8/10 - added encounter nova 189+5/Soul Shard damage Deadly Little Miho(11th), by MC-DrowBane, 705 damage Deadly Little Miho(30th), by MC-DrowBane, and daily nova 1,502+15/Soul Shard damage Deadly Little Miho(30th), by MC-DrowBane 9/02/10 - 42.7 DPR(CA,Ch) Hybrid Fighter/Ranger Charge mount(6th), by RX-75, and 40.19 DPR (CA) Bugbear Brutal Rogue|Swordmage (6th) by tl (8@&) 8/26/10 - added 3155-3800 damage Massacre of the Gods nova(30th), by Nelphine(daily nova), and 34 DPR, 57 DPR, 226 DPR One Stroke to Kill Them All(6th, 16th, 30th), by Nelphine 8/24/10 - 70.6 DPR Achilles(16th), by langeweile 8/23/10 - added new key element & Rare/Uncommon item usage 8/18/10 - 90 DPR WarWarWarFight(24th), by mellowship(@) and updated 180 DPR Revenant Charger(warlock)(24th), by VonLazuli(@), these builds, added 15.6(Riposte)-17(Ch) DPR Dark Paladin(1st), by ethaenn1(@) 8/13/10 - updated the following build to 177.615 + Prone 8/11/10 - 188.63 DPR + Prone Warlock|Assassin Kulkor Charger(30th), by Squad(@) 8/11/10 - added 1095 DPR Genasi, Battlemind|Sorcerer, Lightning Fury, Invincible Mind(30th), by Kergma(@) 8/11/10 - added Strength based 14.6 DPR Essentials dwarf(1st), by KungFuJoe() 8/11/10 - updated Kergma's L30 blender DPR to 1095 8/9/10 - added Murderous Mind(16th, 30th), by langeweile(9@) getting 129 DPR and 1012.4 DPR (1435.7 DPR post MS) respectively and 8/9/10 - added LDB's Ranger/Adroit Explorer/Master of Moments nova build topping at 534 average damage for encounter and 1,679 average damage daily nova 8/6/10 - added first essentials candidate at 12.4 DPR Half-Orc Slayer(1st), by mellored 8/6/10 - added rule regarding power points and ammunition 8/6/10 - added 268(1 PP) DPR Tiefling Battlemind(30th), by SongNSilence(29@) 8/6/10 - added LDB's L30 version getting 145.95/ 182.62(1 PP)/ 221.83(post milestone+PP) DPR Duskblade Dwarf of Brutal Mercy(30th), by LDB 8/6/10 - added 72.3 DPR Dwarf of Brutal Mercy(16th), by langeweile(2) and a level 30 version getting 175.5 / 211.1(post milestone)DPR 8/6/10 - updated stormwarden't DPR at 1,6,12,16,24,30 8/6/10 - added 161.65 damage "Happy Endings" warlock daily nova candidate 8/6/10 - Squad's Warlock/SoC DPR was wrong. Updated to 109.84 DPR Human, Warlock, Student of Caiphon, Radiant One(30th), by Squad(9@) 8/6/10 - added 86.6 DPR Warlock (MC Ranger)/Lyrander Windrider/demigod(30th), by mad2crazy added a link to The_Yakk's expounding on my DPR analysis 7/30/10 - Landsknecht73's warlock got better DPR 7/29/10 - highly cheesy abuse of hellish rebuke 215.4(king) and 246.2(second place) DPR for a level 24 and 30Tiefling Hellish Cheese(24th), by Landsknecht73(@9) 7/29/10 - added 126.5 DPR Revenant Charger(warlock)(24th), by VonLazuli(@) 7/28/10 - new Level 12 king 69.8 DPR on the Level 12 Infernal Warlock Build(Landsknecht73). 7/27/10 - 93.9 DPR on the Level 16 Infernal Warlock Build(Landsknecht73). 7/26/10 - added 89.84 DPR Cold Revenant Rebuker(16th), by VonLazuli(@) 7/25 10 - updated - these 7/25/10 - added 43.28 DPR(CA, Ch) Longtooth Shifter Brutal Rogue(6th), by tl(), 36.6 DPR(CA, Ch) Longtooth Shifter Ranger (6th), by tl() , 122 DPR Human Warlock, Student of Caiphon, Radiant One(30th), by Squad(9@),40.2 DPR (Ch, CA) Longtooth Shifter Brutal Rogue (6th), by tl(), 20.7 DPR(CA) Bugbear Rogue|Swordmage (1st), by tl(), 40 DPR(CA) Bugbear Rogue|Swordmage (6th), by tl(), 42.4 DPR(CA, Ch) Human Brutal Charging Rogue(6th), by RX-75() 7/23/10 - 53.43 DPR + Immob. Longtooth Shifter Druid Blightbeast(16th), by Squad(@) and a 24th level version getting 63.8 DPR 7/22/10 - Landskneckt73 updated his warlock and added level 12 version 7/22/10 - updated the baseline DPR guide, called it Baseline DPR: What numbers should I be looking for? 7/22/10 - restored 211 DPR Executioner(30th), by SongNSilence, added 144 DPR Auspex7's Emnity(30th), by Mellored, and 155 Wil Resurrected(1/2 Elf Avenger/Morninglord/Eternal Seeker)(30th), by kilpatds(269@) and a 16th level version 7/21/10 - added The Missile Commander in daily nova section 7/21/10 - Pure warlock striker gets very respectable DPR(better than stormwarden) in the form of a resurrection of IronSky's warlock by Landsknecht73 73.5 DPR Warlock(16th), by IronSky and Landsknecht73 (@) 7/21/10 - Marilith Summoner is back to being the DPR king at 354 DPR 7/20/10 - added 141 DPR Slap Chop(Githzerai Avenger/Ardent Champion/Demigod)(30th), by Auspex7(%@) 7/20/10 - Lots of builds got hit. 7/20/10 - Striker of Pelor swaped kensei for pit fighter 7/20/10 - added LordDuskBlade's Wolfpack Guradian for the kick and giggles 7/20/10 - striker of pelor was nerfed when pit fighter was 7/19/10 - Wil dropped windrise ports and is now legal 7/19/10 - added encounter nova: 349.24 damage GraveDigger(30th), by Damon_Tor(@), and the same getting daily nova of "Nigh Infinite" , with pathetic at-will DPR 7/19/10 - A moment of silence for SongNSilence's Executioner. He lived well, he died well, he had a long life............................, now back to optimization you grunts 7/19/10 - added 95.37 DPR Longtooth Shifter Fighter/Son of Mercy/Demigod(30th), by kilpatds(1?) 7/19/20 - removed key 3: Student of Ciaphon (very few exploitations left), 4: Windrise ports, 7: White lotus master riposte (the only one that use it now can't easily impose a catch 22, and those DPR values that assume the riposte are marked as unorthodox), ^: feycharge was smashed along time ago. 7/19/10 - last errata nerfed quite a few builds (slasher, WLMR catch-22, a few teifling builds, windrise ports Those keys will thus be removed 6/20/10 - added a new level 6 king. updated said build 6/18/10 - Nelphine's marilith summoner(381 new DPR) just got better w/o Radiant ubuse 6/17/10 - Wolf's Tiefling warlock's DPR changed to 342 6/17/10 - Yay!!! a non item specific candidate 19.35 DPR eye for an eye(6th), by roark13 6/17/10 - Added new key element (9: Radiant Mafia GoTos: Morninglord, Radiant One, Pelor's boon) 6/17/10 - 209.55 DPR Marilith Summoner(30th), by Nelphine(@) 6/17/10 - 304.1 DPR Radiant Flurry (30th), by Paultimatum (2456+@) 6/17/10 - 147.7(CA) DPR Monk/Morninglord/Radiant One by dragon4e. (Radiant Cheese) 6/11/10 - 384.8 DPR (CA, Unorthodox) Tiefling, Sorcerer|Warlock, Morninglord, Radiant One (30th), by Wolf_in_the_Meadow (124578@) (Frost, Fire and Radiant - Triple-Cheese) 6/9/10 - ironsky's wizard|warlock(16) just got better. 6/8/10 - L30 cleanup 6/08/10 - Wendigo(L30 Rogue Charger!!) and Wolf_in_the_Meadow fixing things. 6/08/10 - Level 1 King just got nerfed. We are barely making 20 DPR now 6/07/10 -? DPR Megan Darkwood(barbarian|sorcerer)(16th), by yargon 6/07/10 - 77.5 DPR SingleTarget Wizard(16th), by Corwynn 6/07/10 - added IronSky's Wizard | Warlock (1,6,16) 6/07/10 - first attempt at catagorizing things into the nerf bin 6/07/10 - ?372 DPR(CA) Tiefling Sorcerer, Morninglord, Radiant One (30th), by Wolf_in_the_Meadow (124578@) (Frost, Fire and Radiant) 4/29/10 - 33.28 DPR Githzerai Ranger|Avenger Charger (6th), by Nelphine (Ch56@) 4/25/10 - 30.55 DPR (3x3) Tiefling Sorcerer Essence Mage (12), by Mengu74 (@) 4/24/10 - added 17.1 DPR (3x3) Halfling Sorcerer|Rogue (6), by Mengu74 (8@) 4/24/10 - Updated Striker of Pelor, added 6th level version 4/21/10 - 15.1 DPR(50%Ch) Eldritch Defender(1st), by Stryx(@) and rearranged level 1 candidates 4/18/10 - Bugbear Barbarian/Ranger(1st) getting 21.425 DPR and 23.64 DPR Manticores fury(shifter ranger)(1st), by Cyrulean(6) 4/15/10 - 23.85(Ch) DPR Longtooth Shifter, Monk|Ranger(1st), by Cyrulaen(6) 4/15/10 - Killed my level 1 assassin | ranger. Assassin shrouds only work on assassin powers. 4/11/10 - 76.14 DPR for 16th level Striker of Pelor 4/04/10 - added 45.05 DPR Striker of Pelor(12th), by Stryx(), 4/03/10 - Non-item specific candidate(4th) ]3/23/10 - SongNSilence's executioner's build to 255 DPR 3/16/10 - added a goliath hybrid assassin, riding on the throw and stab train, gets 21 DPR, just a point below the bloodied longtooth variant. 3/07/10 - added/updated LDB's ranger pitfighter 3/07/10 - added At-Will Power Comparison at Level 1 in heroic section 3/04/10 - Moved some things from the nerf bin back to legal. I used a shotgun approach and some people got hurt, added a new crit fisher. 3/02/10 - With the new updates lots of builds will be tossed in an errata-ed bin 3/01/10 - Added the king of DPR:the Long Night Feycharger (934 DPR) 3/01/10 - Modified arcane slasher's damage, over 500 DPR w/o feycharging - we might need a seperate section for teleporters 2/28/10 - Modified arcane slasher's damage, over 300 DPR w/o feycharging 2/25/10 - added unorthodox level 1 candidate getting 2 attacks/round 2/25/10 - added Wil (Revenant Avenger/Pitfighter/Eternal Seeker) at 30 and 16 2/25/10 - Throw and Stab has been grouped with Twin strike in key section - Added a snippet form the Normalized Defenses thread. 2/24/10 - Added level 16 and levle 6 throw and stabber that gets incredible DPR
DPR or Damage Per Round most often refers to what your expected damage is to a monster of equal level when you're using the same powers every turn when possible.
Chance To Hit To-Hit Add up all your attack bonuses. Combat advantage and ChargingShow
If you need combat advantage(rogues mostly) then assume it's there. If you assume Combat Advantage your DPR will be marked accordingly. It is better to generate your own combat advantage in some fashion rather than needing to rely on party cooperation which can fail. Chargers may also assume the ability to charge, but will similarly have a flag indicating that circumstances may not be conducive to achieving the quoted DPR(Must take opportunity attack to move back and charge target)
Defense Monster defenses are given by the following formulas AC: 14 + level; Fort,Ref,Will: 12+level Chance to hit 1: 1 - .05(Defense - (to hit) - 1) Chance to hit 2: Assume I have a +7 to hit an AC of 15. I hit on an 8 but miss on a 7. 7 / 20 is my miss chance(7*5%) = .35. I have a hit chance of .65.
Damage Dice average: ((minimum result)+(maximum result))/2 1d10 => (1+10) / 2 = 5.5 2d6 brutal 1 => 2x(2+6)/2 = 8 High crit weapons are only accounted for in the crit section and add 1[w]/2[w]/3[w] depending on heroic/paragon/epic respectively.
DPR (chance to hit - chance to crit) *(damage on a hit) + (chance to crit)*(damage on a crit) = DPR Add the DPR contribution from each attack and you have your total DPR
Example Level 2 fighter with a simple +1 magic battle Axe. To hit: 4(Str) + 2(Prof) + 1(1/2 level) + 1(magic weapon) = +8 Monster AC: 2 + 14 = 16 AC Chance to hit: 1-.05*(16-8-1) = .65 (.05 chance to crit) Damage: d10+4(str)+1(magic weapon) = 5.5+5 = 10.5(15 max+1d6(magic weapon)) DPR: (.65-.05)*(10.5)+.05*(15+3.5) = 7.225 DPR or simply 7.2 DPR
Double rolls and Crit special cases Avengers and sages of ages together with users of martial supremacy need to worry about rerolls Roll twice and take better 1-(base chance to miss)^2 = chance to hit, what's the chance I miss with both rolls, 1 minus this 1-(1-base chance to crit)^2 = chance to crit (in other words what is the chance both(^2) aren't(1-x) crits, 1 minus that)
Sage of ages' floating d20 Easiest way is to assume that you will always use the floating d20 for 1 attack, thus treating that attack like a double roll, take better. There is a slight discrepancy, but it's not that big
Martial Supremacy (chance to hit) + (chance to miss)*(chance to hit)= final chance to hit.
Martial Supremacy + Oath of Emnity Do a simulation, or ask someone to do it for you. You've probably got a very special decision tree that makes mathematical calculations of the exact number difficult Special cases of sometimes use Attack A, If I hit last turn I use Attack B. Please refer to this post for this complex situation
King of level 6: 28.43 DPR gith brutal scoundrel(4th), by Reg06 19.35 DPR eye for an eye(6th), by roark13 King of level 1: Please see normal candidates as both Magic item dependent and non-item dependent builds are collected there.
King of level 6: 64.59(no AP)(77.59(CA,no AP)) damage Half-Orc Rogue|Monk(6th) (8) 54.78 damage Drow Scout Bravo(6th), by jonathan_sicari King of level 1:
Baseline DPR: What numbers should I be looking for?Show
A discussion can be found here and an expounding done by The_Yakk on my analysis is Monster HP can be approximated by 8*level + 24. Your effectivness can be measured by how many rounds you take to kill an equal level monster. Instead of having a baseline of 20/40/60 DPR at the milestones of 10/20/30th level which has problems around the tier jumps (there's a huge difference in DPR from level 10 and level 12 due to avaliability of paragon feats) we can see your DPR as a function of your level and compare it with monster HP. Thus if you wanted to kill a monster in 4 rounds you would need a DPR that grows as 2*level + 6. This formula almost exactly is the bottom threshold for most DPR candidates here. If you wanted to kill a monster in 2 rounds you would need a DPR of 4*level + 12 which easily is the upper threshold which seperates the outliers and DPR kings, which are obviously overpowered. Within these limits are contained most of the DPR candidates.
Awesomeocalypse argued that this 4 round progression is too harsh for serving as a baseline for the intended striker DPR. The developers intent was that you use encounter powers and daily powers for those 4 rounds and that 2*level + 6 should be observed baseline when using your encounter powers and that a 5 round progression should serve as a baseline for at-will comparison, as at-wills are a good measure of what you will do minimally.
Monster HP / level is a good gauge of intended DPR / level. Monster HP growth can be approximated by 8*level+24.
If you are to defeat them in 8 rounds your DPR should be 1 * level + 3, meaning at level 1 you have to really suck to be doing 4 DPR, at level 10 you're doing 13 DPR, at level 20 you're doing 23 DPR, and reaching your plateau of 33 DPR at epic. 1 PC killing a monster in 8 rounds is much too long.
Non-Striker 1: 4 DPR 6: 9 DPR 12: 15 DPR 16: 19 DPR 24: 27 DPR 30: 33 DPR This is where most non-damage-focused non-striker builds should treat as a baseline. Leaders and defenders go here. Controllers can be a bit below this, but really need to have large areas or super high controllery stuff
Intended Striker if you are to defeat them in 4 rounds the progression is as follows 2* level + 6 1: 8 DPR 6: 18 DPR 12: 30 DPR 16: 38 DPR 24: 54 DPR 30: 66 DPR In 4 rounds you can almost entirely rely on encounter powers and daily powers, which do oft-times minimally more damage. I state minimally because most of the time it adds anywhere from +1d6 to +3d10 which averages out to +3 damage to +16 damage. multiply this by your intended chance to hit of 50% and you have a boost to damage ranging from +1.5 DPR to +8 DPR, al right, not minimal, but eh.
Broken Striker Baseline Optimized Strikers should be able to take out an equal level monster in 2 rounds = 4*level + 12 1: 16 DPR 6: 36 DPR 12: 60 DPR 16: 76 DPR 24: 108 DPR 30: 132 DPR These numbers are frighteningly close to those observed on the DPR king candidates. If we throw out the outliers (slashers(16,30), longtooth ranger(1,6)) we find that optimized strikers fall perfectly within the 2 and 4 round monster killers.
This analysis supports the falsehood of the 15/40/60 benchmarks, and rather supports that good strikers should be following a 2* level + 6 progression. The problem I have with a 3 number benchmark is that level 10 is so close to level 11, yet there's a huge discrepancy between level 10 and 11 due to the availability of paragon feats that opens up to so much more potential. level 1, 11 and 21 should be better levels for benchmarking. I propose the following benchmark 8/24/48 at levels 1/11/21. I would prefer a 1/12/24 (8/30/54 DPR respectively) progression but that's just me.
12.44 DPR Human Barbarian(1st), by Elwyndas first one's a bit modified Elder_Basilisk's, trying to focus more on DPR then Nova 11.45 DPR Human Paladin 1Show
Str 20, Wis 14 Str Domain, WE Maul Holy Strike Attack: +8 Hit: 2d6 + 5 + 2 + 2 0.65*16 + 0.05*21 = 11.45 I know, Str domain is terrible, but I figure it is better then WF until at least 3rd... besides, the numbers were just too low otherwise
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 a "normal" warlock that I posted together with melee version, this one is a much more stereotypical one
Int 20 White Lotus Riposte, Arcane Reserves Longsword Booming Blade Attack: +8 vs AC Hit: 1d8 + 5 + 2 DPR: 0.65*11.5 + 0.05*15 + 0.7*5 = 11.725 with mark and booming blade, I guess that's enough incentive for target to attack you, provoking White Lotus Riposte in the process going twohander would help the DPR, but that's just wrong
Cha 20, Dex 16 Sorcerer Blade Channneling Lightning Strike Attack: +8 vs Ref Hit: 1d8 + 5 + 3 (+ 3) DPR: 0.75*12.5 + 0.05*16 + 0.8*3 = 12.575 requires two targets to pull off, but a lot more interesting then Acid Orb spam
Dex 20, Wis 16 Githzerai Blade Master Dancing Cobra (Centered Flurry of Blows) Attack: +5 vs Ref Hit: 1d10 + 5 + 2 (+2 +3) DPR: 0.6*17.5 + 0.05*22 = 11.6 if you have a heavy hitting defender, who's mark did not kick in this turn, you might consider intentionally provoking for another Wis on damage
Wis 20 Dwarven Weapon Training Ex.Axe Overwhelming Strike Attack: +7 vs AC Hit: 1d12br2 + 5 + 2 DPR: ((1-(1-0.65)^2) - (1-(1-0.05)^2))*14.5 + (1-(1-0.05)^2)*26.5 = 13.89375 ~ 13.9 a more common type of avenger then my MBA charger. I feel counting on Censure as a constant benefit is wishful thinking
Wis 20 IE Storm Spike Attack: +6 vs Ref Hit: 1d8 + 5 (+5) DPR: 0.65*9.5 + 0.05*13 + 0.65*5 = 10.325 ~ 10.3 after hitting, close in to dissuade it from moving with Savage Rend (or make your allies do it for you!)
Wis 20, Str 13 Enraged Boar Form, Powerful Charge Pounce Charge Attack: +7 vs Ref Hit: 1d8 + 5 + 2 + 2 DPR: 0.7*13.5 + 0.05*17 = 10.3 a more beastly approach, charging like a savage animal we are
Wis 20, Con 13, Dex 13 Raging Storm Divine Bolts Attack: +5 vs Ref, against 2 targets Hit: 1d6 + 5 DPR: ( 0.6*10.5 + 0.05*12 ) * 2 = 13.8 Hand of Radiance provides quite a bit more damage (easily up to 18 DPR), but assuming 3 targets is too much
Int 20, Str 16 Elemental Empowerment Scorching Burst Attack: +5 vs Ref (burst 1 in 10) Hit: 1d6 + 5 + 3 DPR: 0.6*11.5 + 0.05*14 = 8.175 Cloud of Daggers with maxed Wis would deal more single target DPR, but now we're just being silly.
with Mage's large double sword and backstabber @ 1st -With CA d10 + 1(magic) + 4(str) + 4(dex) + 2d8 = ouchie -+3 (prof) +2(CA) +5(dex) + 1(magic) =+11 vs 13 ref = 90% hit rate -Drow can pull off Brutal Scoundrel with Distant Advantage, Superior Crossbow and their octopus racial ability -@2nd lvl take weapon expertise and only miss on a 1, or Battle Awareness + Riposte strike = Catch 22 -21 DPR with CA Nuff said -8.8 DPR w/o CA
-Of the few who use Bracers of mighty striking(Reaper's Touch) / Bracers of perfect shot -add secondary stat to all arcane damage rolls, good for area effects -Chaos: unblockable aura damage(like Rain of Steel) is precious -Great versatility at range and melee -6d6 daily 1 -Single: 1d8 + 4(cha) + 4(str) + 1(magic) + 1(staff of ruin) + 2(bracers) + push @ +7 vs 13 ref = 75% to hit = 13 DPR -Area: 1d8 + 4(cha) + 4(str) + 1(magic) + 1(staff of ruin) @ +7 vs 13 ref = 75% to hit = 11.45 DPR (3x3)
For comparison Let's consider a wizard and the generic player (18 in main stat and magic weapon) Wizard's scorching burst or Winged horde -1d6+4(int) + 1(magic) @ +5 vs 13 ref = 65% to hit = 6 DPR Generic -1d8(weapon/whatever) + 4(main stat) + 1(magic) @ +6 vs 15 AC = 60% to hit = 6.3 DPR
DPR = Damage Per round ~= Chance to hit * damage on a hit KPR = Kills Per Round. 1 Kill = 8*Level+24 damage = DPR/(8*level+24) KPNR = Kills Per N Rounds. How many standards can you kill in N rounds?
I'm not sure what to do with the "Key" section. Are these things that should not or cannot be in submitted builds? Or are these items that simply need to be noted so others can decide if the build is viable for their campaign?
Either way, you'd probably want to include Fey Charge + Eladrin Swordmage Advance as a potentially naughty combo. In fact, include FC + ESA + Planestrider Boots (for an additional ESA attack).
Can you define "nova"? Is there a "setup" round? Or is it going to be an exercise in what you can do in 1 round? Can immediate actions (such as disruptive strike) be used to add to a nova?
Also I think somewhere we have a level 1 DPR king thread, good luck finding it, but if you do, you might want to link to it. Some of the options there may be illegal now though, post errata.
Can you define "nova"? Is there a "setup" round? Or is it going to be an exercise in what you can do in 1 round? Can immediate actions (such as disruptive strike) be used to add to a nova?
There should not be a formal setup round for a "nova." Damage in a "setup round" should count too, as I elaborate on here. However, it is reasonable to assume two-rounds of actions and/or some ally assistance, particularly on a Daily nova.
Two assumptions about those:
Either: You start 5 squares away from a "just sitting" there enemy. You get two rounds of actions to deal as much damage as possible.
Or: you start adjacent to or any number of squares away from the enemy (your choice). You get one round of actions to deal as much damage as possible.
For aid from an ally, here are 4 scenarios: You get a power bonus to hit from an ally that lasts the round and/or you get a power bonus to damage from an ally, or you're on your own. My standard for to-hit at level 16+ would probably be based on a Battle Captain Tactical Warlord, but other assumptions are reasonable.
I believe i stated in the daily nova a 1 round setup. I think for an encounter nova a single round would be ok also. I'll change that now. As per having help I think that would be unfair. Everybody would choose the optimal helper and would then become more of a team optimization rather than an individual's choices. Having a helper would spawn too much debate so I'll play it safe and say you're alone against a block of tofu, however rare that is. The best I feel can be done is to urge candidates to find their expected damage of a block of tofu of equal level.
DPR = Damage Per round ~= Chance to hit * damage on a hit KPR = Kills Per Round. 1 Kill = 8*Level+24 damage = DPR/(8*level+24) KPNR = Kills Per N Rounds. How many standards can you kill in N rounds?
I'm not sure what to do with the "Key" section. Are these things that should not or cannot be in submitted builds? Or are these items that simply need to be noted so others can decide if the build is viable for their campaign?
Either way, you'd probably want to include Fey Charge + Eladrin Swordmage Advance as a potentially naughty combo. In fact, include FC + ESA + Planestrider Boots (for an additional ESA attack).
I'll be including the feycharger. few people have been able to top SongNSilence's exploration in the feycharging arena. I'll put that combo in the key section. As per your first question: the latter. It's a look up not a banned list.
DPR = Damage Per round ~= Chance to hit * damage on a hit KPR = Kills Per Round. 1 Kill = 8*Level+24 damage = DPR/(8*level+24) KPNR = Kills Per N Rounds. How many standards can you kill in N rounds?
I'm not sure what to do with the "Key" section. Are these things that should not or cannot be in submitted builds? Or are these items that simply need to be noted so others can decide if the build is viable for their campaign?
Either way, you'd probably want to include Fey Charge + Eladrin Swordmage Advance as a potentially naughty combo. In fact, include FC + ESA + Planestrider Boots (for an additional ESA attack).
I'll be including the feycharger. few people have been able to top SongNSilence's exploration in the feycharging arena. I'll put that combo in the key section. As per your first question: the latter. It's a look up not a banned list.
Are you going to put Fey Charge alone in it or just the combination of Fey Charge + ESA (+whatever)? Fey Charge by itself is pretty tame.
I believe i stated in the daily nova a 1 round setup.
As I mention above, a dedicated "setup round" doesn't make sense. All the damage you can do in 2 rounds makes sense. There's no reason to add "damage in round 1 doesn't count", though there are some benefits to staying away from a solo for melee characters (so the solo doesn't disrupt the plan).
As per having help I think that would be unfair. Everybody would choose the optimal helper and would then become more of a team optimization rather than an individual's choices. Having a helper would spawn too much debate so I'll play it safe and say you're alone against a block of tofu, however rare that is. The best I feel can be done is to urge candidates to find their expected damage of a block of tofu of equal level.
You don't need a whole character for a helper. Just a power bonus to hit, for example. Otherwise, accuracy is at too much of a premium compared to what it would be in an actual game for a daily nova. Well, accuracy and the Disciple of Divine Wrath feat