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Numbers Crunched! The Baseline DPR of an Optimized CRB Only Fighter

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Hey all,

Recently I was interested in seeing what the DPR is of a baseline CRB only fighter. I wrote a program up to calculate everything for me, and I figured I'd share the results with others, in case they are interested.

Here's the basic build. I didn't fully stat out at every level, and I figure the left over money and feats will go to shoring up defenses or other areas. Elite Array, human fighter only, falchion, abstracted away everything but bonuses to-hit and damage, as they should have enough Whatever to fill in the rest.

But first a few things:
Why CRB only? I wrote this for my own use when designing class options. If a 15 PB character with my options is outdamaging the core fighter, there are problems. Since I believe everything should be balanced around Core so it doesn't cause a powerclimb, I chose CRB only. Yes, that means no Gloves of Dueling. This also provides a benchmark for powerclimb in later books.

Why Elite array? Because I wanted a standard baseline. It was either this or 15 point buy, and in the interest of reducing variability, I just went with the Elite array, putting the 15 into Str. Plus, PF is technically designed around 15 PB, 4d6 drop lowest, or elite array, and elite array seemed like the best choice for this.

Why falchion? Falchion Fred is, from what I recall, the most optimized CRB fighter, so I went with his weapon choice.

Is this using power attack? Yes. All power attack, all the time. Why? Because I'm lazy, and fighters aren't too badly off always using it.

When did he get everything? I roughly guessed when he got all the items, and didn't do a thorough check against WBL. The trends would stay the same, even if the exact numbers change.

Rough build:
first level feats: Power Attack, Weapon Focus (falchion)
weapon spec at 4, greater weapon spec at 12.
greater weapon focus at 8
critical focus at 7
sword enhancements:
+1 at 3rd
+2 at 6
+3 at 8th
+4 at 11th
+5 at 14th
belts:
+2 at 4th
+4 at 9th
+6 at 14
tomes:
+2 at 16
+5 at 19
dusty green ioun:
14th
boots of speed:
11th

But gloves of dueling! Tough. I need to compare the numbers against the CRB. (Although for fun, they seemed to increase DPR by 25% against creatures with CR +2 over the fighter's level)

Calculating against CR = level:
Calculating against CR = level
Level 01 CR: 1:
Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
DPR: 8.97
Monster Average HP at CR 1: 15
Monster Average AC at CR 1: 12
Rounds to solo monster: 1.67224080267559
Level 02 CR: 2:
Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
DPR: 8.28
Monster Average HP at CR 2: 20
Monster Average AC at CR 2: 14
Rounds to solo monster: 2.41545893719807
Level 03 CR: 3:
Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
DPR: 9.7175
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 3.08721378955493
Level 04 CR: 4:
Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
DPR: 15.6975
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 2.54817646121994
Level 05 CR: 5:
Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
DPR: 17.71
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 3.1055900621118
Level 06 CR: 6:
Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
DPR: 33.0625
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 2.117202268431
Level 07 CR: 7:
Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
DPR: 34.615
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 2.45558283980933
Level 08 CR: 8:
Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
DPR: 44.145
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 2.26526220410012
Level 09 CR: 9:
Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
DPR: 52.95
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 2.17186024551464
Level 10 CR: 10:
Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
DPR: 52.95
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 2.45514636449481
Level 11 CR: 11:
Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
DPR: 115.475
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 1.25568304827885
Level 12 CR: 12:
Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
DPR: 128.205
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 1.24800124800125
Level 13 CR: 13:
Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
DPR: 141.55
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 1.27163546450018
Level 14 CR: 14:
Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
DPR: 172.405
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 1.16005916301731
Level 15 CR: 15:
Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 31
Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
DPR: 172.405
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 1.27606507931905
Level 16 CR: 16:
Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 32
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
DPR: 207
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 1.15942028985507
Level 17 CR: 17:
Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
DPR: 221.95
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 1.21649020049561
Level 18 CR: 18:
Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
DPR: 221.95
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 1.35165577832845
Level 19 CR: 19:
Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
DPR: 253.085
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 1.30390975364008
Level 20 CR: 20:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 356.2
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 1.03874227961819
Level 20 CR: 21:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 348.4
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 1.14810562571757
Level 20 CR: 22:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 332.8
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 1.20192307692308
Level 20 CR: 23:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 325
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 1.47692307692308

Calculating against CR = level + 2:

Calculating against CR = level + 2
Level 01 CR: 3:
Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
DPR: 6.9
Monster Average HP at CR 3: 30
Monster Average AC at CR 3: 15
Rounds to solo monster: 4.34782608695652
Level 02 CR: 4:
Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
DPR: 6.21
Monster Average HP at CR 4: 40
Monster Average AC at CR 4: 17
Rounds to solo monster: 6.44122383252818
Level 03 CR: 5:
Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
DPR: 7.475
Monster Average HP at CR 5: 55
Monster Average AC at CR 5: 18
Rounds to solo monster: 7.35785953177258
Level 04 CR: 6:
Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
DPR: 13.2825
Monster Average HP at CR 6: 70
Monster Average AC at CR 6: 19
Rounds to solo monster: 5.27009222661397
Level 05 CR: 7:
Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
DPR: 15.18
Monster Average HP at CR 7: 85
Monster Average AC at CR 7: 20
Rounds to solo monster: 5.59947299077734
Level 06 CR: 8:
Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
DPR: 27.7725
Monster Average HP at CR 8: 100
Monster Average AC at CR 8: 21
Rounds to solo monster: 3.6006841299847
Level 07 CR: 9:
Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
DPR: 25.645
Monster Average HP at CR 9: 115
Monster Average AC at CR 9: 23
Rounds to solo monster: 4.48430493273543
Level 08 CR: 10:
Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
DPR: 33.615
Monster Average HP at CR 10: 130
Monster Average AC at CR 10: 24
Rounds to solo monster: 3.86732113639744
Level 09 CR: 11:
Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
DPR: 45.15
Monster Average HP at CR 11: 145
Monster Average AC at CR 11: 25
Rounds to solo monster: 3.21151716500554
Level 10 CR: 12:
Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
DPR: 41.25
Monster Average HP at CR 12: 160
Monster Average AC at CR 12: 27
Rounds to solo monster: 3.87878787878788
Level 11 CR: 13:
Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
DPR: 91.295
Monster Average HP at CR 13: 180
Monster Average AC at CR 13: 28
Rounds to solo monster: 1.97163042882962
Level 12 CR: 14:
Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
DPR: 108.965
Monster Average HP at CR 14: 200
Monster Average AC at CR 14: 29
Rounds to solo monster: 1.83545175056211
Level 13 CR: 15:
Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
DPR: 121.79
Monster Average HP at CR 15: 220
Monster Average AC at CR 15: 30
Rounds to solo monster: 1.80638804499548
Level 14 CR: 16:
Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
DPR: 159.285
Monster Average HP at CR 16: 240
Monster Average AC at CR 16: 31
Rounds to solo monster: 1.50673321405029
Level 15 CR: 17:
Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 31
Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
DPR: 159.285
Monster Average HP at CR 17: 270
Monster Average AC at CR 17: 32
Rounds to solo monster: 1.69507486580657
Level 16 CR: 18:
Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 32
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
DPR: 186.75
Monster Average HP at CR 18: 300
Monster Average AC at CR 18: 33
Rounds to solo monster: 1.60642570281125
Level 17 CR: 19:
Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
DPR: 201.25
Monster Average HP at CR 19: 330
Monster Average AC at CR 19: 34
Rounds to solo monster: 1.63975155279503
Level 18 CR: 20:
Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
DPR: 190.9
Monster Average HP at CR 20: 370
Monster Average AC at CR 20: 36
Rounds to solo monster: 1.93818753273965
Level 19 CR: 21:
Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
DPR: 225.4
Monster Average HP at CR 21: 400
Monster Average AC at CR 21: 37
Rounds to solo monster: 1.77462289263532
Level 20 CR: 22:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 332.8
Monster Average HP at CR 22: 400
Monster Average AC at CR 22: 39
Rounds to solo monster: 1.20192307692308
Level 20 CR: 23:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 325
Monster Average HP at CR 23: 480
Monster Average AC at CR 23: 40
Rounds to solo monster: 1.47692307692308
Level 20 CR: 24:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 299
Monster Average HP at CR 24: 520
Monster Average AC at CR 24: 42
Rounds to solo monster: 1.73913043478261
Level 20 CR: 25:
Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
DPR: 286
Monster Average HP at CR 25: 560
Monster Average AC at CR 25: 43
Rounds to solo monster: 1.95804195804196

Results: CR = Level wrote:


Level: 1 CR: 1 DPR: 8.97
Level: 2 CR: 2 DPR: 8.28
Level: 3 CR: 3 DPR: 9.7175
Level: 4 CR: 4 DPR: 15.6975
Level: 5 CR: 5 DPR: 17.71
Level: 6 CR: 6 DPR: 33.0625
Level: 7 CR: 7 DPR: 34.615
Level: 8 CR: 8 DPR: 44.145
Level: 9 CR: 9 DPR: 52.95
Level: 10 CR: 10 DPR: 52.95
Level: 11 CR: 11 DPR: 115.475
Level: 12 CR: 12 DPR: 128.205
Level: 13 CR: 13 DPR: 141.55
Level: 14 CR: 14 DPR: 172.405
Level: 15 CR: 15 DPR: 172.405
Level: 16 CR: 16 DPR: 207
Level: 17 CR: 17 DPR: 221.95
Level: 18 CR: 18 DPR: 221.95
Level: 19 CR: 19 DPR: 253.085
Level: 20 CR: 20 DPR: 356.2
Level: 20 CR: 21 DPR: 348.4
Level: 20 CR: 22 DPR: 332.8
Level: 20 CR: 23 DPR: 325
Results: CR = Level + 2 wrote:


Level: 1 CR: 3 DPR: 6.9
Level: 2 CR: 4 DPR: 6.21
Level: 3 CR: 5 DPR: 7.475
Level: 4 CR: 6 DPR: 13.2825
Level: 5 CR: 7 DPR: 15.18
Level: 6 CR: 8 DPR: 27.7725
Level: 7 CR: 9 DPR: 25.645
Level: 8 CR: 10 DPR: 33.615
Level: 9 CR: 11 DPR: 45.15
Level: 10 CR: 12 DPR: 41.25
Level: 11 CR: 13 DPR: 91.295
Level: 12 CR: 14 DPR: 108.965
Level: 13 CR: 15 DPR: 121.79
Level: 14 CR: 16 DPR: 159.285
Level: 15 CR: 17 DPR: 159.285
Level: 16 CR: 18 DPR: 186.75
Level: 17 CR: 19 DPR: 201.25
Level: 18 CR: 20 DPR: 190.9
Level: 19 CR: 21 DPR: 225.4
Level: 20 CR: 22 DPR: 332.8
Level: 20 CR: 23 DPR: 325
Level: 20 CR: 24 DPR: 299
Level: 20 CR: 25 DPR: 286

A few highlights:

  • Check out the jump from 19 to 20! Most of that is actually from the auto-confirmation of crits, not the x3 multiplier. I had included the x3, but only caught that I missed the auto-confirm later. Once I added that in, DPR jumped!
  • Level 11 is when the most optimized (or close to most optimized) CRB fighter can kill a creature 2 CRs above his level in 2 rounds. I find this to be a pretty interesting benchmark! But it's mostly due to the boots of speed kicking in. Such is the power of those boots!

    If you have any questions, let me know. I can finagle the numbers easily enough.

    But again, this was for my own knowledge when designing, and isn't meant to make much else of a point :)

    •

    INteresting. Although I admit I lack the knowledge to really know how this stacks up against anybody else.

    You mention boots of speed; do you have the numbers for a fighter that uses NO "consumables/limited use" powers? Could be interesting to know whether the fighter is truly the dominant "regular" combatant, and how that compares to "nova-types" (like cavalier, paladin, barbarian) who have les conssitent powers.

    How does this match up against core-only barbarians?
    Liberty's Edge

    Very impressive.

    It's definitely solid, even with rather suboptimal stats.

    The fact that the rounds to solo drop from close to 4 to under 2 rounds from 10-11 pretty much confirms everything I've said in the high level Rocket Tag thread, so thank you very much for maths.

    I assumed that by the time they got the Boots, they'd basically have it up all the time, as far as combat is concerned. That's 10 full-attacks a day, and the rest are (assumed) to be filled by spellcasters casting it.

    Final Results without boots of speed:

    Spoiler:

    Calculating against CR = level
    Level 01 CR: 1:
    Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 8.97
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 1.67224080267559
    Level 02 CR: 2:
    Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 8.28
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 2.41545893719807
    Level 03 CR: 3:
    Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
    DPR: 9.7175
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.08721378955493
    Level 04 CR: 4:
    Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
    DPR: 15.6975
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 2.54817646121994
    Level 05 CR: 5:
    Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
    DPR: 17.71
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 3.1055900621118
    Level 06 CR: 6:
    Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 33.0625
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 2.117202268431
    Level 07 CR: 7:
    Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 34.615
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 2.45558283980933
    Level 08 CR: 8:
    Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
    DPR: 44.145
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 2.26526220410012
    Level 09 CR: 9:
    Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 52.95
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 2.17186024551464
    Level 10 CR: 10:
    Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 52.95
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 2.45514636449481
    Level 11 CR: 11:
    Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
    Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
    DPR: 73.005
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 1.9861653311417
    Level 12 CR: 12:
    Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
    DPR: 79.92
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 2.002002002002
    Level 13 CR: 13:
    Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
    DPR: 89.49
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 2.01139792155548
    Level 14 CR: 14:
    Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 29
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 116.44
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.71762281003092
    Level 15 CR: 15:
    Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 116.44
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.88938509103401
    Level 16 CR: 16:
    Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -5 (PA penalty): 31
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
    DPR: 142.65
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.68243953732913
    Level 17 CR: 17:
    Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 155.48
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.73655775662465
    Level 18 CR: 18:
    Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 155.48
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.92950861847183
    Level 19 CR: 19:
    Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
    DPR: 185.465
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.77931146038336
    Level 20 CR: 20:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 267.8
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.38162808065721
    Level 20 CR: 21:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 260
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.53846153846154
    Level 20 CR: 22:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 244.4
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.6366612111293
    Level 20 CR: 23:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 234
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.05128205128205

    Calculating against CR = level + 2
    Level 01 CR: 3:
    Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 6.9
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 4.34782608695652
    Level 02 CR: 4:
    Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 6.21
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 6.44122383252818
    Level 03 CR: 5:
    Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
    DPR: 7.475
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 7.35785953177258
    Level 04 CR: 6:
    Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
    DPR: 13.2825
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 5.27009222661397
    Level 05 CR: 7:
    Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
    DPR: 15.18
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 5.59947299077734
    Level 06 CR: 8:
    Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 27.7725
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 3.6006841299847
    Level 07 CR: 9:
    Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 25.645
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 4.48430493273543
    Level 08 CR: 10:
    Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
    DPR: 33.615
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 3.86732113639744
    Level 09 CR: 11:
    Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 45.15
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.21151716500554
    Level 10 CR: 12:
    Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 41.25
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 3.87878787878788
    Level 11 CR: 13:
    Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 22
    Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
    DPR: 54.87
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 3.28048113723346
    Level 12 CR: 14:
    Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +2 (weapon training) -4 (PA penalty): 23
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
    DPR: 65.49
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 3.0539013589861
    Level 13 CR: 15:
    Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 25
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
    DPR: 74.67
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 2.9462970403107
    Level 14 CR: 16:
    Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 29
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 104.55
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 2.29555236728838
    Level 15 CR: 17:
    Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 104.55
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 2.58249641319943
    Level 16 CR: 18:
    Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +3 (weapon training) -5 (PA penalty): 31
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
    DPR: 124.425
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 2.41109101868596
    Level 17 CR: 19:
    Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 33
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 136.16
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 2.42361927144536
    Level 18 CR: 20:
    Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 127.19
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 2.90903372906675
    Level 19 CR: 21:
    Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -5 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
    DPR: 155.33
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 2.57516255713642
    Level 20 CR: 22:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 244.4
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.6366612111293
    Level 20 CR: 23:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 234
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 2.05128205128205
    Level 20 CR: 24:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 213.2
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 2.4390243902439
    Level 20 CR: 25:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (dusty green ioun) +0 (haste bonus) +4 (weapon training) -6 (PA penalty): 37
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 205.4
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 2.72638753651412

    137ben wrote:
    How does this match up against core-only barbarians?

    No clue. Might do the barbarian some day for comparison against a "sustained burst" class, but right now I stuck to fighter only.

    I've edited my second post to include the full results, although not formatted.

    Still goes from 3 -> 2 at 11th level, but only barely.

    Really interesting. Could I have the program you wrote?

    Thanks Cheapy, useful data.

    I particularly like the second set of data. Shows the rather nice increase brought by that oft-ignored third iterative (and a +1 to the weapon).

    For comparison:

  • You have 9th vs. CR 9 at DPR: 52.95
  • My PFS 9th fighter most rounds will greater trip, hit twice, then AoO (from standing), for 18hp/hit (95/70/95% chance to hit) or DPR: ~49. Seems pretty dead on.

    •

    The numbers in the first post are *slightly* off, but only after the fighter hits level 20.

    Blackstorm: Sorry, but I'll be keeping the source code for myself. Too many questions about whether I'd even be able to share it.

    Majuba: Thanks! Just a note, at 11th level, that's when the boots of speed kicks in. But see above to see what 11th level looks like without those on!
    1 person marked this as a favorite.
    Rough build wrote:

    first level feats: Power Attack, Weapon Focus (falchion)

    weapon spec at 4, greater weapon spec at 12.
    greater weapon focus at 8
    critical focus at 7
    sword enhancements:
    +1 at 3rd
    +2 at 6
    +3 at 8th
    +4 at 11th
    +5 at 14th
    belts:
    +2 at 4th
    +4 at 9th
    +6 at 14
    tomes:
    +2 at 16
    +5 at 19
    dusty green ioun:
    14th
    boots of speed:
    11th

    Is that a typo? Critical Focus requires a +9 BaB.

    No, that was a mistake. While fixing that, I noticed I was including ImpCrit on level 7, so here are the updated numbers for level 7 and 8:

    Results: CR = Level wrote:


    Level: 7 CR: 7 DPR: 33.0625
    Level: 8 CR: 8 DPR: 47.385
    Results: CR = Level + 2 wrote:


    Level: 7 CR: 9 DPR: 25.1275
    Level: 8 CR: 10 DPR: 36.855

    The person responsible for these mistakes has been sacked.

    Just checking but is the dusty green ioun stone (which I cannot find) supposed to be the cracked pale green prism?
    Cheapy wrote:
    Majuba: Thanks! Just a note, at 11th level, that's when the boots of speed kicks in. But see above to see what 11th level looks like without those on!

    Yep - that's what I was referring to! DPR still jumps almost 40% at L.11 without the boots.

    andreww wrote:
    Just checking but is the dusty green ioun stone (which I cannot find) supposed to be the cracked pale green prism?

    Yea! That one! I was going off of memory. At least I got the color right!

    It's the one that gives +1 competence to attack rolls.

    That is the one then.

    Updated values, with the above bugs accounted for.

    Calculating against CR = level:

    Level 01 CR: 1:
    Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 8.97
    Monster Average HP at CR 1: 15
    Monster Average AC at CR 1: 12
    Rounds to solo monster: 1.67224080267559
    Level 02 CR: 2:
    Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 8.28
    Monster Average HP at CR 2: 20
    Monster Average AC at CR 2: 14
    Rounds to solo monster: 2.41545893719807
    Level 03 CR: 3:
    Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
    DPR: 9.7175
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 3.08721378955493
    Level 04 CR: 4:
    Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
    DPR: 15.6975
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 2.54817646121994
    Level 05 CR: 5:
    Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
    DPR: 17.71
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 3.1055900621118
    Level 06 CR: 6:
    Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 33.0625
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 2.117202268431
    Level 07 CR: 7:
    Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 33.0625
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 2.57088846880907
    Level 08 CR: 8:
    Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
    DPR: 47.385
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 2.11037248074285
    Level 09 CR: 9:
    Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 52.95
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 2.17186024551464
    Level 10 CR: 10:
    Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 52.95
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 2.45514636449481
    Level 11 CR: 11:
    Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
    Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
    DPR: 115.475
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 1.25568304827885
    Level 12 CR: 12:
    Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
    DPR: 128.205
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 1.24800124800125
    Level 13 CR: 13:
    Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
    DPR: 141.55
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.27163546450018
    Level 14 CR: 14:
    Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 172.405
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.16005916301731
    Level 15 CR: 15:
    Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 31
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 172.405
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.27606507931905
    Level 16 CR: 16:
    Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 32
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
    DPR: 207
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.15942028985507
    Level 17 CR: 17:
    Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 221.95
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.21649020049561
    Level 18 CR: 18:
    Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 221.95
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.35165577832845
    Level 19 CR: 19:
    Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
    DPR: 253.085
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.30390975364008
    Level 20 CR: 20:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 356.2
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.03874227961819
    Level 20 CR: 21:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 348.4
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.14810562571757
    Level 20 CR: 22:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 327.6
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.22100122100122
    Level 20 CR: 23:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 314.6
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 1.52574698029244

    Calculating against CR = level + 2:

    Level 01 CR: 3:
    Avg falchion to-hit: +1 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 4
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 6.9
    Monster Average HP at CR 3: 30
    Monster Average AC at CR 3: 15
    Rounds to solo monster: 4.34782608695652
    Level 02 CR: 4:
    Avg falchion to-hit: +2 (BAB) +3 (str bonus) +1 (weapon focus) +0 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 5
    Avg falchion Damage (no crits): 2d4+0 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 12
    DPR: 6.21
    Monster Average HP at CR 4: 40
    Monster Average AC at CR 4: 17
    Rounds to solo monster: 6.44122383252818
    Level 03 CR: 5:
    Avg falchion to-hit: +3 (BAB) +3 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -1 (PA penalty): 7
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 3 (Power Attack) +4 (Str Bonus * 1.5) +0 (weapon training) +0 (weapon spec): 13
    DPR: 7.475
    Monster Average HP at CR 5: 55
    Monster Average AC at CR 5: 18
    Rounds to solo monster: 7.35785953177258
    Level 04 CR: 6:
    Avg falchion to-hit: +4 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +0 (weapon training) -2 (PA penalty): 9
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +0 (weapon training) +2 (weapon spec): 21
    DPR: 13.2825
    Monster Average HP at CR 6: 70
    Monster Average AC at CR 6: 19
    Rounds to solo monster: 5.27009222661397
    Level 05 CR: 7:
    Avg falchion to-hit: +5 (BAB) +5 (str bonus) +1 (weapon focus) +1 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 11
    Avg falchion Damage (no crits): 2d4+1 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 22
    DPR: 15.18
    Monster Average HP at CR 7: 85
    Monster Average AC at CR 7: 20
    Rounds to solo monster: 5.59947299077734
    Level 06 CR: 8:
    Avg falchion to-hit: +6 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 13
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 27.7725
    Monster Average HP at CR 8: 100
    Monster Average AC at CR 8: 21
    Rounds to solo monster: 3.6006841299847
    Level 07 CR: 9:
    Avg falchion to-hit: +7 (BAB) +5 (str bonus) +1 (weapon focus) +2 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -2 (PA penalty): 14
    Avg falchion Damage (no crits): 2d4+2 (enhancement) + 6 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 23
    DPR: 25.1275
    Monster Average HP at CR 9: 115
    Monster Average AC at CR 9: 23
    Rounds to solo monster: 4.5766590389016
    Level 08 CR: 10:
    Avg falchion to-hit: +8 (BAB) +5 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +1 (weapon training) -3 (PA penalty): 16
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +7 (Str Bonus * 1.5) +1 (weapon training) +2 (weapon spec): 27
    DPR: 36.855
    Monster Average HP at CR 10: 130
    Monster Average AC at CR 10: 24
    Rounds to solo monster: 3.5273368606702
    Level 09 CR: 11:
    Avg falchion to-hit: +9 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 19
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 45.15
    Monster Average HP at CR 11: 145
    Monster Average AC at CR 11: 25
    Rounds to solo monster: 3.21151716500554
    Level 10 CR: 12:
    Avg falchion to-hit: +10 (BAB) +6 (str bonus) +2 (weapon focus) +3 (enhancement) +0 (pale green ioun) +0 (haste bonus) +2 (weapon training) -3 (PA penalty): 20
    Avg falchion Damage (no crits): 2d4+3 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 30
    DPR: 41.25
    Monster Average HP at CR 12: 160
    Monster Average AC at CR 12: 27
    Rounds to solo monster: 3.87878787878788
    Level 11 CR: 13:
    Avg falchion to-hit: +11 (BAB) +6 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -3 (PA penalty): 23
    Avg falchion Damage (no crits): 2d4+4 (enhancement) + 9 (Power Attack) +9 (Str Bonus * 1.5) +2 (weapon training) +2 (weapon spec): 31
    DPR: 91.295
    Monster Average HP at CR 13: 180
    Monster Average AC at CR 13: 28
    Rounds to solo monster: 1.97163042882962
    Level 12 CR: 14:
    Avg falchion to-hit: +12 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +2 (weapon training) -4 (PA penalty): 24
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +2 (weapon training) +4 (weapon spec): 37
    DPR: 108.965
    Monster Average HP at CR 14: 200
    Monster Average AC at CR 14: 29
    Rounds to solo monster: 1.83545175056211
    Level 13 CR: 15:
    Avg falchion to-hit: +13 (BAB) +7 (str bonus) +2 (weapon focus) +4 (enhancement) +0 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 26
    Avg falchion Damage (no crits): 2d4+4 (enhancement) +12 (Power Attack) +10 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 38
    DPR: 121.79
    Monster Average HP at CR 15: 220
    Monster Average AC at CR 15: 30
    Rounds to solo monster: 1.80638804499548
    Level 14 CR: 16:
    Avg falchion to-hit: +14 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 30
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 159.285
    Monster Average HP at CR 16: 240
    Monster Average AC at CR 16: 31
    Rounds to solo monster: 1.50673321405029
    Level 15 CR: 17:
    Avg falchion to-hit: +15 (BAB) +8 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -4 (PA penalty): 31
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +12 (Power Attack) +12 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 41
    DPR: 159.285
    Monster Average HP at CR 17: 270
    Monster Average AC at CR 17: 32
    Rounds to solo monster: 1.69507486580657
    Level 16 CR: 18:
    Avg falchion to-hit: +16 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +3 (weapon training) -5 (PA penalty): 32
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +3 (weapon training) +4 (weapon spec): 45
    DPR: 186.6375
    Monster Average HP at CR 18: 300
    Monster Average AC at CR 18: 33
    Rounds to solo monster: 1.6073940124573
    Level 17 CR: 19:
    Avg falchion to-hit: +17 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 34
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 201.25
    Monster Average HP at CR 19: 330
    Monster Average AC at CR 19: 34
    Rounds to solo monster: 1.63975155279503
    Level 18 CR: 20:
    Avg falchion to-hit: +18 (BAB) +9 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 35
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +13 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 46
    DPR: 190.785
    Monster Average HP at CR 20: 370
    Monster Average AC at CR 20: 36
    Rounds to solo monster: 1.93935581937783
    Level 19 CR: 21:
    Avg falchion to-hit: +19 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -5 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +15 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 49
    DPR: 225.4
    Monster Average HP at CR 21: 400
    Monster Average AC at CR 21: 37
    Rounds to solo monster: 1.77462289263532
    Level 20 CR: 22:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 327.6
    Monster Average HP at CR 22: 400
    Monster Average AC at CR 22: 39
    Rounds to solo monster: 1.22100122100122
    Level 20 CR: 23:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 314.6
    Monster Average HP at CR 23: 480
    Monster Average AC at CR 23: 40
    Rounds to solo monster: 1.52574698029244
    Level 20 CR: 24:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 278.2
    Monster Average HP at CR 24: 520
    Monster Average AC at CR 24: 42
    Rounds to solo monster: 1.86915887850467
    Level 20 CR: 25:
    Avg falchion to-hit: +20 (BAB) +11 (str bonus) +2 (weapon focus) +5 (enhancement) +1 (pale green ioun) +1 (haste bonus) +4 (weapon training) -6 (PA penalty): 38
    Avg falchion Damage (no crits): 2d4+5 (enhancement) +18 (Power Attack) +16 (Str Bonus * 1.5) +4 (weapon training) +4 (weapon spec): 52
    DPR: 260
    Monster Average HP at CR 25: 560
    Monster Average AC at CR 25: 43
    Rounds to solo monster: 2.15384615384615

    Results: CR = Level wrote:


    Level: 1 CR: 1 DPR: 8.97
    Level: 2 CR: 2 DPR: 8.28
    Level: 3 CR: 3 DPR: 9.7175
    Level: 4 CR: 4 DPR: 15.6975
    Level: 5 CR: 5 DPR: 17.71
    Level: 6 CR: 6 DPR: 33.0625
    Level: 7 CR: 7 DPR: 33.0625
    Level: 8 CR: 8 DPR: 47.385
    Level: 9 CR: 9 DPR: 52.95
    Level: 10 CR: 10 DPR: 52.95
    Level: 11 CR: 11 DPR: 115.475
    Level: 12 CR: 12 DPR: 128.205
    Level: 13 CR: 13 DPR: 141.55
    Level: 14 CR: 14 DPR: 172.405
    Level: 15 CR: 15 DPR: 172.405
    Level: 16 CR: 16 DPR: 207
    Level: 17 CR: 17 DPR: 221.95
    Level: 18 CR: 18 DPR: 221.95
    Level: 19 CR: 19 DPR: 253.085
    Level: 20 CR: 20 DPR: 356.2
    Level: 20 CR: 21 DPR: 348.4
    Level: 20 CR: 22 DPR: 327.6
    Level: 20 CR: 23 DPR: 314.6
    Results: CR = Level + 2 wrote:


    Level: 1 CR: 3 DPR: 6.9
    Level: 2 CR: 4 DPR: 6.21
    Level: 3 CR: 5 DPR: 7.475
    Level: 4 CR: 6 DPR: 13.2825
    Level: 5 CR: 7 DPR: 15.18
    Level: 6 CR: 8 DPR: 27.7725
    Level: 7 CR: 9 DPR: 25.1275
    Level: 8 CR: 10 DPR: 36.855
    Level: 9 CR: 11 DPR: 45.15
    Level: 10 CR: 12 DPR: 41.25
    Level: 11 CR: 13 DPR: 91.295
    Level: 12 CR: 14 DPR: 108.965
    Level: 13 CR: 15 DPR: 121.79
    Level: 14 CR: 16 DPR: 159.285
    Level: 15 CR: 17 DPR: 159.285
    Level: 16 CR: 18 DPR: 186.6375
    Level: 17 CR: 19 DPR: 201.25
    Level: 18 CR: 20 DPR: 190.785
    Level: 19 CR: 21 DPR: 225.4
    Level: 20 CR: 22 DPR: 327.6
    Level: 20 CR: 23 DPR: 314.6
    Level: 20 CR: 24 DPR: 278.2
    Level: 20 CR: 25 DPR: 260

    Sovereign Court

    That's some interesting math and guess it does confirm that level 11 is indeed legen---wait for it and hope you aren't lactose intolerant--dary.
    Shadow Lodge

    Thanks, Cheapy. Love this sort of stuff.
    Shadow Lodge

    I could very easily have missed this, I'm not great with DPR calculations and holidays dull my mathing skills, but is average DR being considered?
    Sovereign Court

    It doesn't seem like it. I'm guessing he looked at the bestiary 1 and bestiary 4 table average stats for monsters. Which doesn't take into account DR of any kind or if the monster is immune to critical hits in general, which is fine of course.

    No, it does not take into consideration DR or almost any other optional thing that really varies between monsters. For example, leaving the falchion at +5, when I could've added Holy or Flaming Burst. Those are both situational (evil creatures and creatures not resistant to fire, respectively), so aren't a good fit for the baseline.

    And yea, the monster's numbers are from Table 1-1.

    You forgot Furious Focus and Improved Critical.

    At low levels you'd be better off with a greatsword than a falchion, as the static damage doesn't multiply enough on crits to help. The build above takes WF (Falchion) at 1st, but if you delay that to 2nd and take FF instead you don't lose anything. So 1st level DPR is then 10.465.

    And Gloves of Dueling are in UE not CRB so illegal anyway.

    I may have forgotten to mention Imp Critical, but it's coded into the program.

    And Furious Focus is from the APG :)

    A non-optimized fighter can be found here.
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