Things to know before we get started:
There's going to be math, statistics and averages, all that stuff. I'll have a tl;dr at the end.
I do a bunch of estimating due to small sample sizes. Do forgive me, I'd rather have this seen so others can help confirm this, rather than waiting a long time to get very large sample sizes myself.
This is going to be with sample size of 5 minutes for a test. I have repeated some core tests upon which I base my assumptions. These results may not be correct due to the small sample size, but it gives us an idea.
Acronyms:
VJ: Vengeful Judge
BoV: Bond of Virtue
EoL: Echoes of Light
CoP: Circle of Power
TW: Templar's Wrath
OP: Oathbound Paladin
Bond of Virtue:
It attempts to proc Vengful Judge once per second. How do I know that? See the Echoes of Light and Oddities section.
Standing by yourself: 28 procs in 5 minutes. Roughly a 10.71% chance, I'm assuming this should be 10%, that would make sense 10% chance on our capstone, and this would align with other numbers from the feats tree. I understand 10% may not be right, but it is close enough for me to perform analysis on. I ran this test multiple times, and 28 seemed to be the average anyway, my lowest test run was 20.
Standing with a companion, nothing else around: 31 in 5 minutes with a normal, non augment companion.
Standing with a companion and 1 party member with their companion out: Procs 29 times.
Standing with 1 party member, no companions: Procs 28 times in 5 minutes.
Summary: It appears that allies make virtually no difference in proc rate, I would expect double the proc's if the number were to increase, I saw no dramatic difference, so calling this as BoV only self proc's on yourself for the purposes of casting the encounter power.
Circle of Power:
Before we start here, things got to a whole new level of weird while testing this. It looks like VJ was being cast by the player on the CoP. Except for the initial cast (which also has a chance to proc Vengeful Judge). I had to some assumptions here, please try to follow. I understand I'm 'playing with numbers' a little, but it makes sense given the context.
By myself, Circle of power procced 160 times in 5 minutes. 4 times on myself (Because of the actual casting of the ability.) and 156 times on the Circle of Power. This was tested with a 12 second Cooldown on CoP.
With a companion, Circle of power procced 161 times in 5 minutes. 3 times on myself (Because of the actual casting of the ability.) and 158 times on the Circle of Power. This was tested with a 12 second Cooldown on CoP. No difference.
So how fast does CoP refresh? I'm doing this math in reverse, but bare with my logic for a second. I know 160 proc is correct. The 10% I calculated is probably the same from the capstone, and NOT different depending on the encounter power used. So taking the 160 and 10%, what can we say? We have 160 CoP procs at 10%, so 160 / 0.1 = ESTIMATED 1600 ticks from these numbers. Does this make sense? Well kind of.
We have 300 seconds in 5 minutes... If we take the 1600 estimated ticks and divide by the 300 seconds we get 5.33 repeating. So each second we are getting 5.33 attempted proc's of VJ. This doesn't make sense though, how can we have .33 ticks? What would make more sense? After all we are doing the math backwards. There's a better assumption we can make, we know we are close because the 10% should be right. I was taking into account the intial proc's which is not correct, so let's exclude those. At the same time let's assume my proc's of CoP were slightly above average given the sample size was not perfectly on point, what would make alot more sense for an interval?
Doing the math again taking these into account. 150 CoP procs * 10% chance of VJ on each proc = 1500 ticks. 1500 ticks total/300 seconds = 5 procs per second. Does 5 procs per second make sense? Yes, that would be an interval of 200ms, which is a round number, and makes alot more sense. 200ms would also make sense given that CoP needs to constantly check if you are still inside to 'reapply' the buff. After all you can leave the circle and come back, you would expect the buff to reapply upon re-entering.
Thanks to help testing by
@rubytrue, we know that CoP doesn't stack, both visually and functionally. Vengeful Judge will only apply on the caster of the CoP, and nothing else. With this being said if you are going Prot path there is almost no reason to NOT take CoP from these discoveries. You are gaining an incredible amount of divine call on average to miss taking this, it's also increasing your dr and damage which gives you alot more survivability through TW.
Echoes of Light and Oddities:
Standing by yourself nothing around, using Oath strike for 5 minutes with Bond of Virtue on: This was with only 4/5 in EoL. I got 15 Procs of EoL during this time.
I had Bond of Virtue on, and this allowed me to test how fast Bond of Virtue actually refires, and it's once per second, as it would 'eat' the EoL buff within next second.
I noticed during testing that I had 1 specific case where EoL procced twice in the same second. And it was not just a graphical bug, ACT recorded this as well. What is odd that Vengeful Judge from the 6.67% chance of proccing on Bond of Virtue procced EXACTLY inbetween these 2 visually. This may not be connected and I haven't reproduced it a second time.
The times in between the proccing of EoL is an avg of:
Not counting Duplicate Fire: 22.15 Seconds inbetween procs at 4/5.
Counting duplicate Fire: 20.58 Seconds inbetween procs at 4/5.
If you are curious here are the delays, starting at the bottom of the log moving up.: 16, 19, 32, 23, 44, 17, 19, 0, 17, 23, 22, 19, 19, 18
7:29:01 PM Echoes of Light GrantPower No Damage False None False
7:28:43 PM Echoes of Light GrantPower No Damage False None False
7:28:24 PM Echoes of Light GrantPower No Damage False None False
7:28:05 PM Echoes of Light GrantPower No Damage False None False
7:27:46 PM Echoes of Light GrantPower No Damage False None False
7:27:23 PM Echoes of Light GrantPower No Damage False None False
7:27:06 PM Echoes of Light GrantPower No Damage False None False
7:27:06 PM Echoes of Light GrantPower No Damage False None False
7:26:47 PM Echoes of Light GrantPower No Damage False None False
7:26:30 PM Echoes of Light GrantPower No Damage False None False
7:25:46 PM Echoes of Light GrantPower No Damage False None False
7:25:23 PM Echoes of Light GrantPower No Damage False None False
7:24:51 PM Echoes of Light GrantPower No Damage False None False
7:24:32 PM Echoes of Light GrantPower No Damage False None False
7:24:16 PM Echoes of Light GrantPower No Damage False None False
tl;dr - The section you all want to get to.
If you want more in depth on some of this, go to the correct section.
Echoes of Light: Can be procced by attacking air with the same chance as hitting something. Indeed has a 15 second cooldown. Can have immediate duplicate Procs for some yet unknown reason...
Bond of Virtue: Looks toggleable, but is so much more. This power is actually self casting itself every second. This can auto-consume EoL on you. Proc's Vengeful Judge (fills your tab meter up) on every 'refresh'.
Circle of Power: Can Proc Vengeful Judge every 200ms. Every attempted refresh of the buff will count as the use of an encounter power. This will on avg proc it one every other second. No reason to NOT take this on a prot OP. It's not that great for a Dev OP if your going healadin. Sable and me were averaging roughly 3 procs of VJ in 4 seconds of CoP, although that is slightly higher than the curve would suggest.
Vengeful Judge: Has a 10% chance of Proccing from all encounter powers. Encounter powers that do self refreshing can proc it more than once. It has no Internal Cooldown. It can proc as much as it wants, but it often won't proc alot due to it's trigger.
Other:
Sable ShadowStorm
@rubytrue - Helped with some testing numbers. It was also very nice to have someone to bounce these findings off of realtime.
Feel free to contact me in game about this.
@veywiil#8685
I'm a theorycrafter, that means I can answer fairly deep questions with scientific theory, mathematical proof, and some guessing. Ask me stuff!
Comments
As for the results, a big thank you goes out to @veywiil#8685 for all the work he did; he, I think, uncovered some pretty interesting things, most notably, the interactions between CoP and the Justice capstone, Vengeful Judge. Even though it was tested by DevOPs, the rapid proccing of Vengeful Judge should work for ProtOPs as well. We theorized that it was the flag for improving damage componant of CoP that being triggered so quickly. The reasoning behind this is twofold:
1) We would test CoP under different conditions, including having an ally in the CoP radius; when this happened, only the caster would have Vengeful Judge Proc. Both allies would have the bonus healing component appear on our status bar, but only the caster would have the bonus damage component of CoP appear on their status bar.
2) It would make sense that the bonus damage component of CoP rapidly trigger as the power has to continually check to see if another power/attack would be affected throughout the duration of the power.
As @veywiil#8685 noted above, if you are a ProtOP, CoP really should become a "must have" power. It rapidly procs Vengeful Judge--and when you see it procced, you should hit tab--resulting in, for all intents and purposes, a perma 35% boost to both your damage and recharge (you have to keep hitting tab at least every ten seconds whenever Vengeful Judge Procs, but since one of your encounter powers can refill your Divine Call bar under Judge, it is a non-issue).
As a DevOP, you can get the same bonus, but it becomes a bit unwieldy since, at least for me, my DevOP moves around the battlefield a lot. I plan on trying it out some more to see if I can adapt my playstyle around it.
game - Human/real life - ???
OP 18k+ Devotion/Justice - Light
Xael De Armadeon: DC
Xane De Armadeon: CW
Zen De Armadeon: OP
Zohar De Armadeon: TR
Chrion De Armadeon: SW
Gosti Big Belly: GWF
Barney McRustbucket: GF
Lt. Thackeray: HR
Lucius De Armadeon: BD
Member of Casual Dailies - XBox
-Shia-
Shiarrael t'Charvon (STO)
Sereska Miliskeera (NW)
House Miliskeera in exile (NW)
Sereska Miliskeera, Lvl 70 OP - Devotion (Just.)/Protection (Just.)
Shizlee Miliskeera, Lvl 70 DC - Divine Oracle (Right.)/Anoited Champion (Faith.)
Finithey Miliskeera, Lvl 70 HR - Stormwarden (Combat)/Pathfinder (Trapper)
Maya Sik-Miliskeera, Lvl 70 CW - Spellstorm
Irae Sik-Miliskeera, Lvl 70 TR - Master Inflitrator
Member - Houseclan t'Charvon (STO)
Shiarrael e'Tal'Aura t'Charvon, LvL 60, Rom Sci
S'aana ir'Virinat t'Charvon, Lvl 60, Rom Eng
T'Lyra, LvL 60, Fed, Vul Sci
Ta'el, Lvl 60, Rom Tac
game - Human/real life - ???
OP 18k+ Devotion/Justice - Light
If you send me one, I'll test it, IDK what else to say. /shrug
I would like to test another OP's CoP and see how it impacts combat. Perhaps a few runs tonight or sometime this weekend could give us some data or at least fully test the synergy between Devo and Prot.
Check out the Shadowknight Build for OP Protection here
[Combat (Self)] Orcus gives 0 (446273) Physical Damage to you with Wand Bash.
[Combat (Self)] Orcus gives 0 (514415) Physical Damage to you with Bash.
[Combat (Self)] Orcus gives 0 (521299) Physical Damage to you with Bash.
[Combat (Self)] Orcus gives 0 (555505) Physical Damage to you with Wand Sweep.
[Combat (Self)] Orcus deals 64883 (648828) Physical Damage to you with Wand Bash.
I'm thinking once loadouts arrive on Xbox, to have the fey with plaguefire for solo and 3 man dungeons.
The other loadout to have the mirage set with holy avenger for 10/25 group content. So its more likely someone else will have plaguefire and the holy avenger will provide damage resistance, although it has a 15 second uptime for 45 seconds. Mirage may work with procs as there are 3 illusion allies.
If anyone has the mirage set and can test this out, please let us know.
I'd still keep Plaguefire over Holy Avenger; on any OP, Plaguefire is simply awesome. Things melt so fast; you don't need a lot of temp damage resistance if everything is dead.
Trans Holy Avenger was thinking of OTT overkill "on each swing to improve your allies damage resistance by 20% while healing them for 15 seconds. The amount of damage and healing is scaled to your weapon. Any blow you land during this time will do 7.5% more radiant damage, The amount of damage and healing is scaled to your weapon. This effect can only activate every 45 seconds."