So the BM gets /nothing/ else but CS dice and Precision Strike in this comparison?
I'm consider proficiency in artisan tools and know your enemy equivalent to remarkable athlete.
You might get an extra die now and then from relentless. But only if you run out of dice. And such situations favor the champion anyways, as they don't run out of crit range.
Of course, short days favor battlemaster.
One of the few virtues of DPR comparisons is that they focus on one, quantitative, measure.
Yes, but it's that exact thing that makes it incomplete.
Sorry if I give you whiplash, but this is a quibble in the opposite direction, but:
wouldn't the BM's number change with Adv/Dis? I mean, the baseline you're measuring 'extra' against goes up with Adv, as the chance of hitting rises...
The chance of rolling a 20, or doing normal damage goes up equally for both. Which can be factored out.
The difference being (Champ crit rate - BM crit rate) * crit damage. You can re-math it if you want. I may have made a mistake somewhere.
and wouldn't there a point at which at which the BM wouldn't miss often enough to use all his CS dice for Precision Strike? .
Hmm..
You'd need 15 misses out of 100 attacks = 15% chance to miss.
sqrt (.15) = 0.38729833462074168851792653997824
So a base 61% hit rate AND advantage on every attack, means you spend every die on precision (statistically). Close enough for me.
Now with archery style's +2 and advantage they might have a single die to spare each day.
Or at lower levels, where you have less attacks.
That's really my biggest complaint about champions. They only compete with 2-handers. They can't keep up with sword & board or archery, the crits just arn't big enough without a big weapon.
IDK, 'Rewarding system mastery...?'
Fair point. But there's no need to hurt a simple option to do so. It's already inherent in any system of choices.
Also, I am doing system mastery for the battlemaster. They could use all their dice on rally and evasive footwork instead, and not even take precision attack.