is cold as hell still functional after the errata? Are there any others that I missed. So many didn't put a key to help me out.
cold as hell still works.
DPR affected by errata:
using a combination of two or more of the following: subtle weapon/iron armbands/symbol of divine light/bracers of the perfect shot, these are all item bonuses now. Also, you have to be attacking with subtle weapon/symbol of divine light to get the bonus.
147.7(CA) DPR Monk/Morninglord/Radiant One (30th) 381 DPR Marilith Summoner(30th) 133 DPR(Ch,CA) Wendigo(Rogue Charger)(30th) 152.41 DPR Storminglord(24th) 77 DPR Striker of Pelor (16th) 67.87 DPR Cosmic Sorcerer MC Paladin/Morninglord(16th)
using two free action attacks on a crit (Two-Weapon Opening, Ardent Fury) also has symbol of divine light + iron armbands: ~140 DPR Human (Pursuit) Avenger/Ardent Champion/Sage of Ages(30th)
novas:
using too many free action attack powers: 1700 Ranger/Pit Fighter/Demigod(30th), by LordDuskBlade(6;@)
doesnt work anymore, Threatening Strike effect was changed to an OA: ? average damage Hand of the Raven Queen(30th)
using symbol of divine light + staff of ruin. 195.80 avg. dam.(7x7) Wizard Nova(20th)
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?
Submission: King of Lvl 16 Setup: Have Kensei Focus for the Quarterstaff. Get Longtooth Shifting with Bloodfury Handaxe. Hit to get +17 damage with Power of the Sun (and Symbol of Divine Light) and Pelor's Sun Blessing, and to get +5 damage with Lasting Frost and CA with Wintertouched. Have enough Frozen Whetstones. Attack: Sun Strike vs Oath of Enmity with Distant Vengeance and Frost Quarterstaff
Striker of Pelor Lvl 16 revised. Pit Fighter replaced with Kensei PP.
The Symbol of Divine Light was changed to be an item bonus to damage that you get when attacking with it. You would not get its bonus when attacking with the quarterstaff.
Been a little lazy, but I've basically had this one done since a half hour after I saw the July Errata. As a general rule, I try to respond to errata by finding something better (Avenger/SoC/Sage dies, Avenger/Ardent Champion/Sage of Ages is born... that one dies... this happens...). So, here it is:
Slap Chop, Githzerai Avenger/Ardent Champion/Demigod, pimped out for max At-Will DPR.
FEATS Level 1: Githzerai Blade Master Level 2: Unarmored Agility Level 4: Versatile Expertise Level 6: Power of Skill Level 8: Battle Awareness Level 10: Power of Strength Level 11: Painful Oath Level 12: Deadly Draw Level 14: Paragon Defenses Level 16: Power Attack Level 18: Devastating Critical Level 20: Pervasive Light Level 21: Hand of Divine Guidance Level 22: Slashing Storm Level 24: Font of Radiance Level 26: Punishing Radiance Level 28: Triumphant Attack Level 30: Enmity Shared
POWERS Avenger at-will 1: Overwhelming Strike Avenger at-will 1: Avenging Shackles 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: Bond of Foresight Avenger utility 6: Aspect of Agility Avenger encounter 7: Relentless Stride Avenger daily 9: Temple of Shadow Avenger utility 10: Wings of Vengeance Avenger encounter 13: Avenger's Demand (replaces Angelic Alacrity) Avenger daily 15: Aspect of Fury (replaces Temple of Shadow) Avenger utility 16: Astral Cloak Avenger encounter 17: Vengeful Parry (replaces Avenger's Demand) Avenger daily 19: Oath of the Inevitable Blade (replaces Aspect of Might) Avenger utility 22: Twin Step Avenger daily 25: Aspect of Death (replaces Bond of Foresight) Avenger daily 29: Final Oath (replaces Aspect of Fury)
ITEMS Siberys Shard of Radiance (epic tier), Bloodiron Fullblade +6, Flowform Starweave Armor +6, Timeless Locket +6, Iron Armbands of Power (epic tier), Many-Fingered Gloves (paragon tier), Ring of Giants (paragon tier) (2), Ring of the Radiant Storm (paragon tier), Crown of the Brilliant Sun (paragon tier), Spark Slippers (paragon tier), Symbol of Victory +2 ====== Copy to Clipboard and Press the Import Button on the Summary Tab ======
+2, Combat Advantage-- applicable on first attack via Enmity Shared, sustained via Deadly Draw. -2, Power Attack
Total actual: +36
Damage Breakdown: +9, Wis +6, item-Iron Armbands of Power +6, Enhancement +4, Power of Strength +4, Githzerai Blademaster
Total Base: +29
+5, Siberys Shard of Radiance +3, set bonus, Gifts for the Queen set-- 3 pieces: Ring of the Radiant Storm, Crown, Slippers. +9, Wis- Painful Oath +9, Power Attack
On-Crit: -- Target gains vuln: 10 Radiant UENT (factored here as +10 damage UENT) -- Target gains -2 to all defenses and -2 to hit (Factored here as +2 to hit) -- Font of Radiance + Punishing Radiance = 3d6 (save ends) +10 UENT. Factored here as: 3d6+10, assuming the target always saves on first attempt. Note: actual average from this is higher. -- Bloodiron carry-over -- 2 x Ring of Giants =+24 damage
-- 1/turn Overwhelming Strike, via Ardent Fury + Power of Skill. +38 vs AC, 2d12+44 Attack & Damage BreakdownShow
Damage: +9, Wis +9, Power Attack +4, Githzerai Blademaster +6, item- Iron Armbands of Power +6, Enchantment +10, vuln: Radiant + Pervasive Light
Slashing Storm: +9 damage, applied 89.3% of the time (as per hit %) -- Alternative: The target shifts, teleports, or moves away. If this happens, the Avenger charges, and gains +14 damage UENT from Censure of Pursuit. The charge is made at: +37 vs AC, 2d12+65 damage.
At-Will DPR: 141.18*, assuming the target remains adjacent. -- Alternative/assuming target moves away to avoid Slashing Storm: 144.41. Note: Actual At-Will DPR is higher than listed. These numbers do not include Ring of the Radiant Storm calcs, do not carry over Punishing Radiance to subsequent turns, they assume that Font of Radiance is saved against on the first attempt, etc. If I had to guess, I would assume that the actual DPR is above 150. RotRS alone should bump it up by about 3 points, I think. *Edited to add... Note: Factoring in the Ring of the Radiant Storm (but none of the other elements I left on the table), the DPR for this comes out to.... 144
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?
So given that the Ring of the Radiant Storm is an optional reroll, I redid my work with only one damage reroll.
The simplified explanation of what's happening: 1. Roll [W]. 2. Turn 1s and 2s into 4s. 3. Roll [W] again, convert to 4s again. 4. Take the better result, in this case the highest number also corresponds to the most 4s(6,7,8 are the only possible results). Thank heaven. 5. Explode 4s. 6. Turn explode 1s,2s into 4s. 7. Roll explode dice twice, take the better result.
The calculation is as follows: 1. There are 3 possible states: 6(2 threes), 7(1 three, 1 four), 8(2 fours). 2. Multiply the probability of each state by the expected result of each state. 3. Sum the states for the expected damage
p(0,2)=207/256 Expected damage for a three is just 3.
Expected Damage for a Four:
4+(1/16)*3+(15/16)(4+(1/16)*3+(15/16)*(4+…=
(67/16)+(15/16)((67/16)+(15/16)((67/16)+…=
(67/16)+(15/16)(67/16)+(15/16)(15/16)(67/16)+…=
(67/16)(1+(15/16)+(15/16)^2+…)=
(67/16)(sum((15/16)^n))=
(67/16)*(1/(1/16))=
(67/16)*(16)=67
p(2,0)*(3+3)+p(1,1)*(3+67)+p(0,2)*(67+67)= (1/256)*6+(48/256)*70+(207/256)*(134)=121.5 Expected damage per die: 60.75
I am confident in these results, though they took some irritating handwork to come up with the right probabilities for each state.
Compare that to your calculation, adjusted for rolling twice instead of three times on the first roll: Calculation 2Show
(1/16)*3+(15/16)*(4+?...
3/16+(15/16)*(4+3/16+(15/16)*(4+…
3/16+(15/16)*(67/16+(15/16)*(67/16+…
3/16+(15/16)*(67/16(1+15/16+(15/16)^2+…
3/16+(15/16)*(67/16*16)
3/16+67*(15/16)=63 per die
63*2=126 damage total
Your estimates are overstating the contribution of each die, though obviously not by much.
The issue as I see it is that rolling damage twice isn't rolling each die separately, it's rolling the entire bundle twice. If you roll 1[W] you are rolling 2 d4s and then rolling them both again, but you can't pick the better d4 from the 1st and put it with the better d4 from the second. Likewise, when you roll 2[W] you are rolling 4 d4s and then rolling them all again...but you have to keep the first pool together with the second pool.
On a similar strain, suppose the Ring of the Radiant Storm reroll DOES include vorpal's added dice.
It's a mistake to say that you roll your base damage, then reroll your vorpal dice as you get them. Rather, you roll your dice, roll all exploding dice until you get no more max results, and then do the whole process over again.
In this case, suppose that you roll 1[W], and get 3,4. Then you roll 4 4 3. Your result is 3+4+4+4+3=18 Now you reroll with the ring, and get 3,4 4 4 4 3 Your result is 3+4+4+4+4+3=22 That's an 4-point result, but there was a 15/16 chance that the second roll would be larger than the first.
In fact, due to the nature of the rerolling probabilities, you will almost always find that one of your two rolls is noticably higher than the other. On any given vorpal roll, you only have a 1/16 chance of failing to get another, so the point at which any given attempt "drops out" will vary greatly. I don't really know how to calculate the expected value of that, but it's going to be far less than the several thousand you were predicting.
is cold as hell still functional after the errata? Are there any others that I missed. So many didn't put a key to help me out.
cold as hell still works.
DPR affected by errata:
using a combination of two or more of the following: subtle weapon/iron armbands/symbol of divine light/bracers of the perfect shot, these are all item bonuses now. Also, you have to be attacking with subtle weapon/symbol of divine light to get the bonus.
147.7(CA) DPR Monk/Morninglord/Radiant One (30th) 381 DPR Marilith Summoner(30th) 133 DPR(Ch,CA) Wendigo(Rogue Charger)(30th) 152.41 DPR Storminglord(24th) 77 DPR Striker of Pelor (16th) 67.87 DPR Cosmic Sorcerer MC Paladin/Morninglord(16th)
using two free action attacks on a crit (Two-Weapon Opening, Ardent Fury) also has symbol of divine light + iron armbands: ~140 DPR Human (Pursuit) Avenger/Ardent Champion/Sage of Ages(30th)
novas:
using too many free action attack powers: 1700 Ranger/Pit Fighter/Demigod(30th), by LordDuskBlade(6;@)
doesnt work anymore, Threatening Strike effect was changed to an OA: ? average damage Hand of the Raven Queen(30th)
using symbol of divine light + staff of ruin. 195.80 avg. dam.(7x7) Wizard Nova(20th)
Let the righteous smite me; it shall be a kindness: and let him reprove me; it shall be an excellent oil, which shall not break my head: for yet my prayer also shall be in their calamities. Psalm 141:5
first, I have to say it's been a while since I agreed with somebody's non-trivial post so completely. the explanation, the explanation on the issue of rerolling (I can see what I screwed up, now), and even the strain about Ring including Vorpal explosions. very well written.
perhaps I indicated this unclearly, but the thousands I came up with were a deliberate misinterpretation of the item for the sake of super high number. allowing rerolls to be... dedicated, for the lack of a better term, would be totally broken.
the only part I'm having doubts about is your number 4 (again); I believe that in picking the higher damage for Radiant Storm we have to include all the exploded dice. and I, too, have no idea how to calculate that... perhaps with an approximation, say, we take the average for dice in Nth generation and above for a relatively small N (=6?) and take the bigger from there... what do you think?
EDIT: upon rereading Vorpal, I checked PHB for a "weapon's damage die". per explanation on p.219, this is 1[W], or what is listed in the table. Vorpal Falchion would therefor explode only 8s on 2d4, and not each d4 separately.
@genjin: what are you trying to say? that Free Soul does not interact with Vorpal? 'cause Vorpal forces you to roll additional damage die, later calling this a reroll, therefor forcing you to reroll. although you are not rerolling any roll per se... I think you might be right...
EDIT2: I think I got it. way to brain dead to explain, but I think it's correct. P(m) is probability for exactly m dice to explode in generation 0. why is the picture so small?