This will happen to me again, since I'd be merely embarrassed to have DPS nipping at my heels on threat but I'd be completely mortified if healers had to fight hard to keep me alive...so I'm going to put up some basic thoughts on restricted-mana tanking and then invite comments and suggestions.
Mana Consumption
A tankadin running flat-out will be cycling some or all of the following abilities. (Mana costs assume the tank has Benediction.)
Seal of Righteousness - 221 mana every 8 seconds = 27.6mps
Seal of Vengeance - 213 mana every 8 seconds = 26.6mps
Judgement - 124 mana every 8 seconds = 15.5mps
Holy Shield Rank 1 - 135 mana every 10 seconds = 13.5mps
Holy Shield Rank 2 - 175 mana every 10 seconds = 17.5mps
Holy Shield Rank 3 - 215 mana every 10 seconds = 21.5mps
Holy Shield Rank 4 - 280 mana every 10 seconds = 28.0mps
Consecration Rank 1 - 120 mana every 8 seconds = 15mps
Consecration Rank 2 - 205 mana every 8 seconds = 25.6mps
Consecration Rank 3 - 290 mana every 8 seconds = 36.3mps
Consecration Rank 4 - 390 mana every 8 seconds = 48.8mps
Consecration Rank 5 - 505 mana every 8 seconds = 63.1mps
Consecration Rank 6 - 660 mana every 8 seconds = 82.5mps
Exorcism Rank 1 - 85 mana every 15 seconds = 5.7mps
Exorcism Rank 2 - 135 mana every 15 seconds = 9mps
Exorcism Rank 3 - 180 mana every 15 seconds = 12mps
Exorcism Rank 4 - 235 mana every 15 seconds = 15.7mps
Exorcism Rank 5 - 285 mana every 15 seconds = 19mps
Exorcism Rank 6 - 345 mana every 15 seconds = 23mps
Exorcism Rank 7 - 400 mana every 15 seconds = 26.7mps
A maximum-threat rotation with perfect cooldown management and no Exorcism will cost 154 mana per second, sustainable if you're taking 1540 DPS.
Damage Output (DPS) and Effect of Spell Damage D
These figures assume 2/2 Improved Judgement and 2/2 Improved Holy Shield.
Seal of Righteousness - 27.8 + 0.09D
Seal of Vengeance - 44 + 0.05D
Judgement of Righteousness - 27.3 + 0.09D
Judgement of Vengeance - 66 + 0.054D
Holy Shield Rank 1 - 19.8 + 0.017D
Holy Shield Rank 2 - 28.9 + 0.017D
Holy Shield Rank 3 - 39.3 + 0.017D
Holy Shield Rank 4 - 52.1 + 0.017D
Consecration Rank 1 - 8 + 0.06D
Consecration Rank 2 - 15 + 0.075D
Consecration Rank 3 - 24 + 0.095D
Consecration Rank 4 - 35 + 0.115D
Consecration Rank 5 - 48 + 0.12D
Consecration Rank 6 - 64 + 0.12D
Exorcism Rank 1 - 6
Exorcism Rank 2 - 10.8
Exorcism Rank 3 - 15.4
Exorcism Rank 4 - 21.5
Exorcism Rank 5 - 27.7
Exorcism Rank 6 - 35.6
Exorcism Rank 7 - 43.7 + 0.029D
Threat Output (TPS) and Effect of Spell Damage D
These figures assume 2/2 Improved Judgement and 2/2 Improved Holy Shield as above, and 3/3 Improved Righteous Fury. I'm also sticking with an overall threat coefficient of 2.25 for Holy Shield until proof of the multiplicative 2.565 figure is shoved in my face.
Seal of Righteousness - 52.8 + 0.171D
Seal of Vengeance - 83.8 + 0.095D
Judgement of Righteousness - 51.9 + 0.171D
Judgement of Vengeance - 125.4 + 0.103D
Holy Shield Rank 1 - 44.6 + 0.038D
Holy Shield Rank 2 - 65.0 + 0.038D
Holy Shield Rank 3 - 88.4 + 0.038D
Holy Shield Rank 4 - 117.2 + 0.038D
Consecration Rank 1 - 15.2 + 0.114D
Consecration Rank 2 - 28.5 + 0.143D
Consecration Rank 3 - 45.6 + 0.181D
Consecration Rank 4 - 66.5 + 0.219D
Consecration Rank 5 - 91.2 + 0.228D
Consecration Rank 6 - 121.6 + 0.228D
Exorcism Rank 1 - 11.4
Exorcism Rank 2 - 20.5
Exorcism Rank 3 - 29.3
Exorcism Rank 4 - 40.9
Exorcism Rank 5 - 52.6
Exorcism Rank 6 - 67.6
Exorcism Rank 7 - 83.0 + 0.055D
Efficiency
Finally, the threat outputs divided by their respective mana costs.
Seal of Righteousness - 1.91 + 0.0062D
Seal of Vengeance - 3.15 + 0.0036D
Judgement of Righteousness - 3.35 + 0.011D
Judgement of Vengeance - 8.09 + 0.0066D
Holy Shield Rank 1 - 3.30 + 0.0028D
Holy Shield Rank 2 - 3.71 + 0.0022D
Holy Shield Rank 3 - 4.11 + 0.0018D
Holy Shield Rank 4 - 4.19 + 0.0014D
Consecration Rank 1 - 1.01 + 0.0076D
Consecration Rank 2 - 1.11 + 0.0056D
Consecration Rank 3 - 1.26 + 0.0050D
Consecration Rank 4 - 1.36 + 0.0045D
Consecration Rank 5 - 1.45 + 0.0036D
Consecration Rank 6 - 1.47 + 0.0036D
Exorcism Rank 1 - 2.00
Exorcism Rank 2 - 2.28
Exorcism Rank 3 - 2.44
Exorcism Rank 4 - 2.61
Exorcism Rank 5 - 2.77
Exorcism Rank 6 - 2.94
Exorcism Rank 7 - 3.11 + 0.0021D
I think the above is all correct, with the obvious exceptions of the downranked Exorcisms for which I need to find coefficients. Next I want to make some graphs of optimal rank vs spell damage, and figure out optimal threat rotations for various restricted-mana conditions.
Notes:
Is Holy Shield's coefficient really 0.05 on each block, regardless of rank? If so, the lower ranks are going to become more efficient and I have to spark up Excel and make me a multiple-line graph.
Gotta find out the truth about that Holy Shield thing one of these days. The 1.9x1.35 isn't an earth-shaking claim and won't require earth-shaking proof, but it's got to be something better than "lots of tanks think so". Dogma gets propagated that way. We're better than that, or at least we should try to be.
The way I'm calculating the mana efficiency of SoR assumes that it's getting refreshed every 8 seconds due to Judgement spam. There should be another value for a badly mana-starved tank running SoR and not judging. I'll probably do that but first I want to see how the efficiency of judgement spam turns out. If it's remarkably low or remarkably high I can keep the current numbers without hurting anything.
After the rotations are done, do a comparison between JoW and JotC. What helps more, the extra mana or the extra spell damage?
Holy Shield has a hidden mana cost because of the damage it soaks. Over 10 seconds against a 2.00 opponent like the Curator, Holy Shield adds approximately 1.75 blocks, meaning it prevents 1.75xBV damage and costs you 0.175xBV mana. This isn't negligible. If you block for 400, max-rank Holy Shield is effectively costing you 350 mana instead of 280. Factoring this in might show us that we should quit downranking HS in the name of mana efficiency. (If we're doing it to prevent a crush, fine, but if you're worried about a boss crush-spiking you to death then this post isn't aimed at you.
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Scarlet Crusade - 0/46/15 - Uncrushable at 15.2k


