Let c = soak coefficient (e.g. 0.14 for dungeoneering shields)
Let c' = overall damage soaked (e.g. ~3.7% for dungeoneering shields against a weapon with a max of 550)
Let m = max hit
Let h = value of any particular hit
The expression for the percent damage reduction is then
c' = (c/m) sum((h-200)/h),h,200,m).
This sum can be approximated as an integral as follows:
c' ~ (c/m) integral((h-200)/h,h,200,m)
which should evaluate to
c' ~ c[1-(200/m)*ln(m)+859.66/m].
Using this expression one can evaluate the overall damage reduction c' given your soak coefficient c and the max hit of the weapon you are defending from, m.
Plotting this for various c:
Note that "overall damage reduction" means the damage reduction averaged over all hits, not the reduction on the max hit only.
What does this mean for Elysian and Divine Spirit Shields?
Against a max hit of 600, a 50% soak rating reduces overall damage by approximately 15%.
Thus, a 50% soak rating is comparable to an Ely (17.5% overall damage reduction).
Divine's 30% Damage reduction is still much more potent than even a soak rating of 50%.
For damage soak to be better than divine, it would have to be extremely high (50%+).
What does this mean for Overall Damage and Chaotic Weaponry?
For overall DPS, Maul>LS>rapier but they are all approximately the same. Maul benefits from having high variance on its attacks and high accuracy, making it a good KO weapon; however, vengeance recoil is a significant drawback. Rapier is more reliable but has slighly lower DPS. Longsword is the intermediate between the two.
Interesting thing to note: Rapier>Longsword>Maul once soak goes above ~20% and 350 defense. Below ~20%, Maul>Longsword>Rapier.
Also, soak does make a significant impact on max hit.
50 Defense points is worth roughly 11% Overall damage reduction.
10% Soak rating is worth roughly 3.2% Overall damage reduction.
So to reduce overall damage by 1%:
-- Increase defense points by 4.55, OR
-- Increase soak rating by 3%.
On a VERY rough approximation, 1% Soak rating is worth 1.5 Defense Points.
Limitations to this Analysis
-- Applies mainly when the assumptions hold true. Actual values may vary depending on the situation.
-- Applies mainly in a Safe PvP setting
-- Dragon defender improves rapier relative to CLS and CLS relative to maul, but does not change the original rank order (Maul > CLS > Rapier)
-- On a VERY rough approximation, 1% Soak rating is worth 1.5 Defense Points.
-- 1% Overall Damage Reduction : 4.5 Defense Points : 3% Soak rating
-- Soak rating makes a significant impact on max hit.
-- Above ~20% Soak rating, Rapier > CLS > Maul
-- Below ~20% Soak rating, Maul > CLS > Rapier
-- An elysian SS's soak is worth approximately 50% soak rating.