Congrats, your curiosity has made you click this thread titled "Brief [useless] mathematician view of Pyromancy". It is compromised of about a day's TEDIOUS work of mostly writing down information, making/cropping graphs and directly coding these tables into the post. As you can guess, this is absolute proof that I have way too much time on my hands and I should consider a better hobby! But, you have not come here to read me ramble. Thou has cometh to drink from the fountain of useless information! The following 2 tables indicate damage done to a Dregling and to a Black Knight using a +0 Pyro Glove and a +5 Ascended. It also shows the percentage of difference in damage between the 2 values.

So what do percentage difference indicate? They indicate just how much the damage has increased in terms of percent. Naturally, how much damage you take depends on your defense. Percentage difference indicates just how much Fire Defense affects your Damage. The higher your percentage difference, the more your damage was being affected by defense (due to how defense works in this game, the higher difference is due to your lower damage being heavily affected by defense and your higher damage overcoming it). Simply enough, lower difference means more defense you're 'ignoring'.

*: I am aware that 0% means that your damage did not increase, therefore you're facing some massive defenses, but this is not practically possible because pyromancy power increases. There should be a minimal percent of difference each magic can have, which is the difference made by pyromancy's increasing power compared to the opponent's defenses (which will never equal 0%). No, I don't know these minimums.

Vs. Dreglings

Pyromancy	+0	+20	% Difference
Fireball	155	414	91%
Fire Orb	201	507	86%
Great Fireball	258	621	83%
Firestorm	278	662	82%
Fire Tempest	349	807	79%
Combustion	135	371	93%
G. Combustion	195	495	87%
Black Flame	262	521	66%
Fire Surge	22	88	120%
Fire Whip	216	538	85%

Vs. Kiln Black Knights

Pyromancy	+0	+20	% Difference
Fireball	46	273	142%
Fire Orb	76	373	132%
Great Fireball	126	482	117%
Firestorm	143	519	114%
Fire Tempest	296	667	77%
Combustion	36	229	146%
G. Combustion	72	363	134%
Black Flame	67	295	126%
Fire Surge	5	17	109%
Fire Whip	89	405	128%

The third table is a direct comparison between damage values from Dreglings/Black Knights at equal levels. This time, the percent differences shows how much effect armor has in a particular level, namely at the minimal level and the maximum level. Lower percent means that Pyromancy with that particular Pyro Glove will deal more similar damage to lightly and heavily armored enemies alike. High difference means that the particular magic is only useful against lightly armored enemies.

Comparison Information

Pyromancy	+0 Dreglings	+0 Black Knights	% Difference [+0]	+20 Dreglings	+20 Black Knights	% Difference [+20]
Fireball	155	46	108%	414	273	41%
Fire Orb	201	76	90%	507	373	30%
Great Fireball	258	126	69%	621	482	25
Firestorm	278	143	64%	662	519	24%
Fire Tempest	349	296	16	807	667	19
Combustion	135	36	115%	371	229	47
G. Combustion	195	72	92	495	363	31
Black Flame	262	67	118%	521	295	55%
Fire Surge	22	5	126%	88	17	135%
Fire Whip	216	89	83	538	405	28

Thus, we arrive at graphs. Let me first explain how this goes. Each graph will be a straight line (or of a linear equation) due to how Pyromancy upgrades by a consistent amount. Each equation (displayed next to the graph) will have a form similar to 'mx + b'.

'm' will be a number that varies from graph to graph. That number represents the damage per Mag. Adj. that the Pyromancy deals against that particular foe. This number (Damage per Mag. Adj) is affected by defenses, hence why there are two graphs per image. 'x' represents any Mag. Adj value of your choosing, this means that, following this equation it should be possible to roughly (not exactly) calculate the damage you can inflict by said Pyromancy if your Mag. Adj was say... over 9000.'b' is an intresting number. It pretty much tells you what your damage would be if your Mag. Adj. was 0. I have no solid calculations/theories, but I speculate that this constant number is yet another representation of the effect that your opponent's defenses are having on your damage. I call this number "Defense Level". Unlike percentages, this does not represent how high an impact defense is having on your pyromancy scaling, rather it is giving you a number, that represents the strenght of your opponent's defenses or how effectively they are being shielded from damage, regardless of the power of your pyromancy. The lower this number is, the more effectively your opponent is blocking constant damage. Note, that it is possible in 1 case for the damage to be positive, but that simply means their defenses are practically being ignored.

*: There is an awkward case with Fire Surge, where the Black Knight has lower "Defense level" than Dreglings, despite taking less damage. This leads me to speculate that perhaps the "Defense Level" represents how much damage is being consistently reduced despite your  Mag. Adj, but a part of their defenses could also be going to reducing your Damage per Mag. Adj, meanining that while they reduce damage less effectively, they hamper the damage scaling to compensate.

Fireball Family Graph:

Firestorm Family Graph:

Combustion Family Graph:

Others Graph:

In reality, most of this information could be false, badly calculated, wrongly interpretted, etc; being erroneous. However, I had quite a bit of fun doing this and I think that data is consistent to be able to draw some conclusions from this information, such as Damage per Mag. Adj. True, all this data only gives you a representation, not solid numbers. 100% difference doesn't mean you dealt double damage, it is simply a representation of the magnitude of forces at work that I could not decipher. Still, I hope you had a good read with this and I managed to entertain/fascinate you.

Cool. +1

Out of curiosity, why did you select those two enemies? And I'm guessing you tested on the Kiln Black Knights, but which Dregling group?

Dreglings were the weakest things in terms of defense I could find. My test subjects were the trio in the Sunlight Altar. Black Knight armor descriptions hint them being resistant to fire, while not being unreasonably strong like Demons. I suspect I made the right choice:

1) No enemy I tested, not even the slimes in the Depths took more damage than Dreglings with regard to Fire (Okay, I didn't tests the Ghosts...)

2) I had asked a player that took slightly more damage against Pyromancies what their Fire Defense was. They responded with 300. Meaning Black Knights have a little over 300 Fire Defense. This is pretty much big, reasonable Fire Defense that you'll see in PvP.

3) Demons were too resistant to fire. I would guess their Fire Defense would be around 400-500. Not very likely in PvP to matter and not frequent enough in PvE either (not like you'll actually hit them with fire...).

4) Queelana uses hax and apparently has Fire Defense somewhere like 10000 or something. That woman reduces Fire Surge all the way to 1, which means her defenses have to be 10 times stronger than Fire Demons, not taking into account the massive diminishing returns she should be suceptible to.

I pretty much avoided abnormaly low defense (there weren't any) or abnormally high defense so it didn't screw up the tests