So why do we have the worst Espells?

[Doombringer]

Meleeing was never a stipulation in this whole RDM/WHM solo tangent, I'll remind you!

I feel like there is though because the entire overarching POINT of this discussion is enspell... so if you're not meleeing it, it's not a valid argument.

[Vicious]

I feel like there is though because the entire overarching POINT of this discussion is enspell... so if you're not meleeing it, it's not a valid argument.

Hence, "tangent."

[Motenten]

Now, let's solve for Enspell II magic accuracy to equal Enspell I damage:

Enspell II damage : 14,508 damage

Solve for x = magic accuracy

(305*52x)+[305*26(1-x)] = 12,221
15860x + [7930(1-x)] = 12,221
x= .54

Given that 1/4 resists and lower are going to drive the results slightly lower, I'm comfortable bumping this result up a few notches to 56%

Highest magic accuracy possible on Enspell II for Enspell I to break even = ~56%

This was calculated improperly.

Enspell I damage : 12,534 damage
Enspell I damage at capped magic accuracy (95%) : 12,221 damage
Total Enspell II damage at 100% acc: 15561

To match Enspell I damage, average damage per Enspell II strike would have to be reduced by a scale of (12221/15561) = 78.54%

Average percent return for a given magic hit rate is:

x + (1-x)*x/2 + (1-x)^2/4

which simplifies to:

x + x/2 - x^2/2 + (1 - 2x + x^2)/4
x + x/2 - x^2/2 + 1/4 - x/2 + x^2/4
x + 1/4 - x^2/4
x - x^2/4 + 0.25


So, solve this for 78.54%, and we get 63.7% magic hit rate, or 63 accuracy below cap. With -80 accuracy from gear (or 72 if it's all skill, and thus subject to the 0.9 factor), that's a leeway of up to 17 magic accuracy where Enspell I's are capped, and Enspell II's have equal or lesser total damage.

Magic hit rate trends slightly downwards as magic accuracy drops. Given a constant magic accuracy difference between Enspell I and Enspell II, that means that as Enspell I's accuracy drops below capped, Enspell II's damage is dropping more quickly than Enspell I's, so the difference in accuracy needed for Enspell I to win decreases.

If, for example, Enspell I was at a 60% hit rate, Enspell II would fall behind at anything below a 35% magic hit rate, which is a difference of only -50 magic accuracy.


Rough overall estimate: If Enspell I's accuracy puts you less than 15 above the hit rate cap, or anywhere below the cap, Enspell I damage will beat Enspell II damage (assuming you can get 70-80 m.acc in gear when casting, and that DA rates match those used in the initial calculations).

[Vicious]

Thanks for the more accurate numbers!

[Motenten]

Actually, other parts of the math don't quite add up, either.

26% Haste, 17% DA, 2% TA ; add Temper @ 500 skill for 37% DA, 2% TA, which gives you 1.37 attacks per round.

2% TA and 37% DA gives 1.4026 attacks per round, before accuracy, and 1.33247 hits per round after accounting for accuracy (assuming capped). Not sure how you got 1.37.

-Delay 224 weapon with 40% haste becomes 134, which works out to 2.3 seconds per attack round, which gives you about 305 attack rounds for the duration of either spell.

2.23 seconds per attack round, actually (does not round to 2.3), which bumps the total rounds to 314.

Number of rounds needed to reach cap is not 26, but 26/0.95 = 27.4, since missed swings don't increase the damage value.

That leaves (314-27.4)*0.95 = 272 rounds that landed the first hit.

Enspell I Damage done: 314 * 1.33247 * 30 = 12,552
Enspell II Damage done: 39*26 + 52*272 = 15,158

Ratio: 82.81%

Updated calculations to allow for 1/8 resists. It changes very little at the high end.

If Enspell I has capped (95%) magic hit rate, it beats Enspell II at 67% magic hit rate, for a difference of 56 m.acc.

With a difference of 72 m.acc from gear (using 0.9 scaling), that means Enspell I beats Enspell II on mobs 6 or more levels above the player (barring any other resistances).



Bonus calculation with Chimeric Fleuret:

Hits per round: 2% TA and 41% DA = 1.36971
Total rounds: 321

Full damage rounds for Enspell II: (321-27.4)*0.95 = 279

Enspell I Damage done: 321 * 1.36971 * 37 = 16,268
Enspell II Damage done: 46*26 + 59*279 = 17,657

Ratio: 92.13%

If Enspell I has capped (95%) magic hit rate, it beats Enspell II at 81% magic hit rate, for a difference of 28 m.acc.

Enspell I beats Enspell II for mobs 2 or more levels above the player (assuming they have capped enhancing skill), and is mostly a wash on mobs 1 level above the player.



Note that the difference in damage from Enspell I with Chimeric Fleuret (3621 after adjusting for resists) amounts to about 5.16 DPS. The equivalent could be gained by going from a D51/d218 weapon to a D55/d218 weapon, or a D58/d224 weapon, or a D59/d230 weapon, so any Shikargar beats it. This was mainly to show the impact of +enspell damage gear on the choice of enspell tier.

[Vicious]

Remembered Portus Collar after I had already done all of the calculations and didn't want to be caught leaving out DA gear that would favor Enspell I... seems I missed some changes I should've made. Thanks for the correction and the more accurate model.

One question though; your calculations are assuming that Enspell II accuracy is determined at proc, not at cast. Has this been tested that you're aware of?

[Motenten]

I believe it was, but it's been quite a long time, and our testing today tends to be a lot more rigorous than in years past, so it probably wouldn't hurt to test it again.

[Vicious]

If I have some free time this weekend I'll see what I can do.

One more thing; Magic Accuracy merits. If I'm not mistaken, those should increase Enspell II's lead to targets level 106 and below? I ask because anything higher than that and the question becomes rather moot.

[Llana_Virren]

We just explained this about ~3-6 posts ago.

Other than the Excalibur argument; that's more of a flaw with how additional effects are calculated... not with the spell. Double Attack procs not allowing an Enspell proc is perfectly valid... but I was wondering what other logic was following or if that was about it.

[ManaKing]

Hence, "tangent."

What else can I teach you guys today?

How to stay on topic and be relevant? How about that?

Apparently this topic has taken the time the time to Math out Enspell 1s vs 2s, but no one actually applied that to an actual feedback or any conclusions. Maybe that's the reason why we have the worst Enspells.