(original title: "How to artfully min-max the hell out of this verstatile fighting style and feat?")
So, given all the answers to my previous question, we have come up with what we think hope is a balance fighting style, and an accompanying feat, for fighting with versatile weapons.
Note from the chat:
I would like to know if the combination of this fighting style and feat is balanced in general; not if it balanced for specific builds. Just like Two-weapon fighting was not written for a specific build: it is a generally available fighting style, that can be used by different builds. The same goes for Dueling, and Great Weapon Fighting.
I asked the question in this same light.
Background
Because we feel fighting with a versatile weapon, seamlessly switching between one- and two-handed wielding, is an iconic style of fighting, that is under-represented in D&D. This is because the rules favour either sword-and-board or great-sword wielding brutes. Yes, you can wield a longsword with either Great Weapon Fighting or Dueling, but we feel that both fall short on the versatile-part.
So, we intend this fighting style to be an alternative to the existing melee fighting styles (Two-Weapon Fighting, Dueling, and Great Weapon Fighting), that it provides flavourful option, to those character that it appeal to, without disrupting the balance of the existing rules.
Fighting style
Versatile Fighting
When you are wielding a versatile weapon with which you are proficient, and no other weapons or shield, you gain the following benefits:
- You gain a +2 bonus to damage rolls1).
- When another creature hits you with a melee attack, you can use your reaction to add your proficiency bonus to your AC for that attack, potentially causing the attack to miss you.
Feat
Versatile Mastery
When you are wielding a versatile weapon with which you are proficient, and no other weapons or shield, you gain the following benefits:
- When you wield your weapon with one hand, your weapon has the reach property.
- Before you make a melee attack, you can choose to take a -3 penalty to the attack roll. If the attack hits, you can make an additional melee weapon attack, with the same weapon, as a bonus action.
Design intentions
We wanted a set of rules that are easy to understand, and easy use. The rules should provide an interesting option to character classes with access to fighting styles, that is different enough in flavour to merit its existence. It should be strong enough to be a valid, competitive choice, while at the same time not so strong that it overpowers the existing fighting styles.
However, D&D has many rules that seem balanced enough on their own, but, when artfully min-maxed, can be turned into a game-breaking monster.
We feel relatively confident about the Versatile Fighting fighting style on its own being fairly balanced, and less certain when the Versatile Mastery feats comes into play.
So, my questions are:
- Is this fighting style, and the accompanying feat balanced?
- Can these rules, when combined with other rules, become too strong?
Appendix I: Average Damage per Round, formula
The Average Damage per Round without the Versatile Mastery feat is rather straight forward, so I'll not explain it here. The Average Damage per Round with the Versatile Mastery feat is rather more complicated, and can be calculated as described below.
Please refer to MannerPots's answer, for a complete explanation of the math involved. What follows here is a slightly adapted version of the formula given in his answer:
Let \$n\$ be the number of regular attacks, \$p_n\$ be your chance to hit, \$p_p\$ be your chance to hit with -3 penalty, \$p_c\$ be your chance to crit, \$d_n\$ be your damage on a normal hit and \$d_c\$ be your extra damage on a crit.
Then the expected damage of a normal attack is \${p_n}d_n + {p_c}d_c\$.
The expected damage of an attack with a -3 penalty is \${p_p}d_n + {p_c}d_c\$.Then the total Average Damage per Round is:
$$\sum_{i=0}^{n-1}(1-p_p)^{i} \left({p_c}d_c + p_pd_n + p_p(n-i)({p_n}d_n + {p_c}d_c) \right)$$
Appendix II: Average Damage per Round, pre-calculated
Table 01: Versatile Fighting (1d10)
Hit probability | 1 attack | 2 attacks | 3 attacks | 4 attacks | 5 attacks |
---|---|---|---|---|---|
5% | 0.850 hp | 1.700 hp | 2.550 hp | 3.400 hp | 4.250 hp |
10% | 1.425 hp | 2.850 hp | 4.275 hp | 5.700 hp | 7.125 hp |
15% | 2.000 hp | 4.000 hp | 6.000 hp | 8.000 hp | 10.000 hp |
20% | 2.575 hp | 5.150 hp | 7.725 hp | 10.300 hp | 12.875 hp |
25% | 3.150 hp | 6.300 hp | 9.450 hp | 12.600 hp | 15.750 hp |
30% | 3.725 hp | 7.450 hp | 11.175 hp | 14.900 hp | 18.625 hp |
35% | 4.300 hp | 8.600 hp | 12.900 hp | 17.200 hp | 21.500 hp |
40% | 4.875 hp | 9.750 hp | 14.625 hp | 19.500 hp | 24.375 hp |
45% | 5.450 hp | 10.900 hp | 16.350 hp | 21.800 hp | 27.250 hp |
50% | 6.025 hp | 12.050 hp | 18.075 hp | 24.100 hp | 30.125 hp |
55% | 6.600 hp | 13.200 hp | 19.800 hp | 26.400 hp | 33.000 hp |
60% | 7.175 hp | 14.350 hp | 21.525 hp | 28.700 hp | 35.875 hp |
65% | 7.750 hp | 15.500 hp | 23.250 hp | 31.000 hp | 38.750 hp |
70% | 8.325 hp | 16.650 hp | 24.975 hp | 33.300 hp | 41.625 hp |
75% | 8.900 hp | 17.800 hp | 26.700 hp | 35.600 hp | 44.500 hp |
80% | 9.475 hp | 18.950 hp | 28.425 hp | 37.900 hp | 47.375 hp |
85% | 10.050 hp | 20.100 hp | 30.150 hp | 40.200 hp | 50.250 hp |
90% | 10.625 hp | 21.250 hp | 31.875 hp | 42.500 hp | 53.125 hp |
95% | 11.200 hp | 22.400 hp | 33.600 hp | 44.800 hp | 56.000 hp |
Table 02: Versatile Fighting (1d10), with Versatile Mastery
Hit probability | 1 attack | 2 attacks | 3 attacks | 4 attacks | 5 attacks |
---|---|---|---|---|---|
5% - 45% 2) | ... | ... | ... | ... | ... |
50% | 6.409 hp | 12.683 hp | 18.870 hp | 25.001 hp | 31.094 hp |
55% | 7.515 hp | 14.664 hp | 21.593 hp | 28.391 hp | 35.110 hp |
60% | 8.679 hp | 16.681 hp | 24.311 hp | 31.736 hp | 39.048 hp |
65% | 9.900 hp | 18.725 hp | 27.013 hp | 35.031 hp | 42.916 hp |
70% | 11.179 hp | 20.788 hp | 29.691 hp | 38.276 hp | 46.718 hp |
75% | 12.515 hp | 22.861 hp | 32.339 hp | 41.471 hp | 50.463 hp |
80% | 13.909 hp | 24.936 hp | 34.954 hp | 44.619 hp | 54.160 hp |
85% | 15.360 hp | 27.003 hp | 37.531 hp | 47.724 hp | 57.817 hp |
90% | 16.869 hp | 29.055 hp | 40.070 hp | 50.792 hp | 61.442 hp |
95% | 18.435 hp | 31.082 hp | 42.571 hp | 53.829 hp | 65.041 hp |
1) To avoid confusion, I will not change the wording of the question. However, as stevenjackson121 already suggested, this bonus is intended to only apply to the versatile weapon in question. So this bullet point should read: "You gain a +2 bonus to damage rolls with that weapon."
2) It only makes sense to attempt to trigger the bonus attack, for a hit probability of \$50\%\$ or higher.