Well.. bows *were* deadly on the battlefield. Their drawback is cavalry, and otherwise getting over run.
Lets look at that...
Same situation as before
Lvl 12 GWF GWM 20 Str greatsword fighting a Djinni (no action surge)
Average dmg 29.3 hp
Lets look at
Lvl 12 Dueliing Sheild Master 20 Str battleaxe fighting a Djinni (no action surge)
Average dmg: 28.8
So when you say "vastly superior" and other styles are "inferior" except for role playing.... you seem really concerned about a 1.7% drop.
Once again you are not taking into account the type of ability loading a marital character will do when using Great Weapon Mastery, which will spike damage in the most important fights.
You're attempt to show minor differences is ridiculous. I watch the fighter at the table save all his superiority dice and get all his big buffs in end game fights causing the combination of Great Weapon Fighting and Great Weapon Mastery to spike substantially above the other fighting styles, which are incapable of doing so.
Here you are one again showing that Great Weapon Fighting with Great Weapon Mastery does more damage than dueling with the -5 penalty. All you're doing with this math is proving my point. If dueling does less without all the special abilities that get used in big fights, it does substantially less once those abilities are used to spike damage and hit chances.
Oh... and there is a 66% chance that the Djinni is prone, which means a *huge* increase in damage from any other melee attacks.... probably make up for that .5 hp of damage difference pretty fast...
Did you just write this? Imagine the djinni prone from the dueling master, then hit by the Great Weapon Master as well. I bet that .5 difference will grow far, far larger pretty quick.
You go on and on about 'historical' fighting... and now you want two weapon fighting to be viable??
Sure. Miyamato Musashi was known for his ability to wield two swords. He beat a lot of opponents with that style. Because if you could truly master two-weapon fighting, an extremely difficult style to master, you could kill a lot of opponents in the type of single or small unit combat you see in this game.
You continue to post mathematical probabilities that do not begin to show what is happening in the game. Your math assumes a continuous set of circumstances that does not reflect play. I do not try to refute your mathematical calculations because it would require a time commitment I don't feel like investing.
I don't feel like creating some table that takes into account factors like bless, potions, magical weapons, prone targets, other party members providing advantage on an attack, faerie fire, reckless ability, superiority to boost hit rolls or provide advantage, invisibility, or other abilities that are used in fights that boost the effectiveness of Great Weapon Fighting and Great Weapon Mastery in a manner that cannot be matched save by archery. You continue to post mathematical analysis absent all these factors in an attempt to convince us that there is a marginal difference between fighting styles.
Yet the math that matters is what we see when a battle has ended against a Legendary or powerful creature that looks like this:
Legendary Creature: 201 hit points.
Damage output:
Great Weapon Fighter using Great Weapon Master: 100 points of damage
Paladin Defensive Fighter: 50 damage
Wizard: 30 points
Bard: 11
We're seeing the Great Weapon Fighter doing 50% or more of the damage output due to all his abilities combining. You don't seem to want accept this because your mathematical analysis is "proof for you", even though it does not in take into account the multitude of factors that prove your analysis wrong. No one cares what a fighting style does over 200 hits. What matters is how it is used in play. Fighters use their superiority dice often to boost its effectiveness in a manner those without it cannot. They ask for and receive the time for a short rest to continue to use those dice to boost damage at least a few times per adventuring day. It makes a huge difference in damage output compared to other fighting styles. Your unwillingness to accept that actual play differs from volume analysis is undermining your argument.
So I'll give a scenario that I work with right now to provide information that will allow for an analysis of how GWM functions during play
Level 10 fighter. +1 sword. bless active. fly active. 6 Superiority dice. Precision, Feinting Attack available to him. 18 strength. Bardic inspiration available to him. Flying familiar capable of giving advantage to fighter for one attack per round.
AC of target 18. No means to boost AC for reaction or avoid attacks.
Analyyze the difference in damage given those parameters between a dueling fighter and a Great Weapon Master over four rounds, the relative length of a fight. This should produce a more accurate result. If you want to throw in two-weapon fighting, that would be helpful, though I believe Feinting Attack requires a bonus action to use which would eliminate the extra attack from Two-weapon fighting.
Here is the caveat:
The Great Weapon Master only uses Great Weapon Mastery when he has the best chance of hitting. When he does not have some kind of bonus to hit, he uses a normal hit roll. This is one of the major factors I don't see in your analysis. The Great Weapon Fighter need only use Great Weapon Mastery when the circumstances are ideal, not all the time. So he may Surge blowing all his superiority dice using Great Weapon Mastery, then not use it again unless he as advantage. So take into account that Great Weapon Master is only used under optimal conditions such as advantage or available Superiority Dice. Advantage is provided once per round by the flying familiar.
Let's see how the math comes out.
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