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I think I've got an idea.
PPF only has fire damage on it, while the WHT has both fire and physical...
What if Sacred flame isn't doing pure fire damage, but actually is doing split physical/fire?
The physical damage of the spell might be scaling off of physical AR, while the fire damage component is scaling off of fire AR.
Since my test subject was a Smoldering Ghru this might explain why the spell does less damage with the PPF vs the WHT.
They have fairly high fire resist, and so the phys AR of the WHT carries it that little bit further, edging out the PPF in damage.
I still need to test this idea, but it might be a bit while I figure out a good test subject. An enemy with low fire resist and high phys resist would be ideal, as I could use the WHT and then switch to the PPF to see if the latter does more damage. Just not sure which enemy to use.
OFF TO THE LAND OF RESEARCH AND DEVELOPMENT!
After some thought, I decided to test my hypothesis on the Black Knight by the Farron Keep Perimeter bonfire.
As I recall, they have high physical resist and low fire resist.
And my numbers support the hypothesis!
With the WHT, witch's ring, and great swamp ring I hit for around 840 damage.
With the PPF, witch's ring, and great swamp ring I hit for around 1010 damage.
Conclusions:
The pyromancy Sacred Flame exhibits unique behavior among spells of all schools (that I know of).
It appears to ignore the spell buff stat in favor of scaling with both physical attack rating and fire attack rating of the implement used to cast it.
This is due the the spell dealing both physical damage and fire damage.
Any item or ability that increases physical attack rating will increase the physical damage of the spell, the same is true of fire attack rating and fire damage.
Utilizing a combination of rings, deep protection, and sacred oath will dramatically improve the damage of the spell.
Fully buffed, and using it with the Pyromancer's Parting Flame +10 against a Black Knight I dealt in excess of 1300 damage in one hit. Unbuffed I dealt slightly more than 1000 damage against the same target, an increase of approximately 30%.
Is this spell useful and viable?
Eh...it takes nearly half my mana to fully buff and prepare the attack, and the timing must be perfect or I take lots of counter damage.
Furthermore, the stat investment and number of spell slots necessary to pull off the damage puts severe restrictions on the number of other options available for damage. Against non-humanoid enemies it's very nearly worthless, though the initial hit will still deal decent damage.
Still fun to watch an enemy explode for over 1k damage though, and it was a lot of fun for me to work out the nuts and bolts of what was going on here...
Even if nobody reads this or comments.
\[T]/
Have a good holiday.
Might lead to interesting trolling with caestus-perseverance buff or iron flesh for "poise casting".
It works with maces too if you really want to confuse people, since most people don't think "sacred flame" when they see a mace.