Cascade has a higher eDPS if you're playing solo (usually) simply because the extra missile that fires out is an extra 582% weapon damage. Each round of Arcane Torrent fires off three missiles (each projectile deals 194% damage for a total of 582% displayed in the tooltip), so essentially 12.5% of the time with Cascade, you'll do double damage.
Disruption is awesome in multiplayer games when you have more than one arcane wizard running.
But I said "usually" for Cascade. If you have items like Moonlight Ward and a lot of arcane bonuses, and say you're running Arcane Orbit and Cannoneer at the same time, I can see Disruption being more worthwhile. I don't have the arcane pieces, though, so I can't test it out.
Obviously vs. single targets Disruption is stronger because Cascade won't proc.
Not sure where you are getting this from, but it procs. It is the complete opposite. Cascade is fantastic against single targets solely because of the massive damage from the extra missile.
Short answer: Cascade is best. Longer answer: Cascade is still the best, unless you have other people in group using Arcane. Disruption stacks with Disintegrate- Intensity, as far as I know.
Short answer: Cascade is best. Longer answer: Cascade is still the best, unless you have other people in group using Arcane. Disruption stacks with Disintegrate- Intensity, as far as I know.
Well not exactly. My point stays valid: If you use Arcane Torrent together with Cannoneer, Disruption wins in single target situations and feels at least on par with Cascade in AoE situations.
See, I thought that too. I really liked the interaction between Cannoneer and Intensify with my disintegrate build; but when I tested Chaos Nexus, it just seemed to be better then Intensify. I imagine the same is probably true for you Torrent heathens.
I wanted a definitive answer for this, so this is how I approached the situation.
Disruption (Average DMG / Fired Missile) : (573% WD (First Missile) x [573% WD x 115% Disruption * (x-1)]) / x (Where x is the number of missiles)
D : (573% WD + [658.95% Disrupted WD * (x-1)]) / x (Where x is the number of fired missiles). Disruption (Avg-DMG / Missile) : 658.95% - 85.95% / x ; x = number of fired missiles.
From this equation we see that with disruption, damage per fired missile grows with every missile, peaking at 658.95% weapon damage / fired missile. For cascade, before we look at the average damage per missile, let us look at the effective damage for the first missile only.
Cascade (DMG / First Missile) : 573% WD + (582% WD * 12.5% (Chance of 1st cascading missile)) + (582% WD * (12.5% x 12.5%) (Chance of 2nd cascading missile) + .... + (582% WD * (12.5%)^n (Chance of nth cascading missile) =
== Effective damage of first missile (+ its n possible subsequent cascading missiles).
Although n approaches infinity, the chances of your first arcane torrent missile unleashing an infinite sequence of cascading missiles is pretty small. In fact, the probability of seeing two cascades from your first missile is only 12.5% ^ 2 = 1.56%. Three? 0.195% Thus to simplify our calculation, we can assume that an individual missile will, at most, cascade thrice, with 12.5% probability for each cascade.
Cascade (DMG / First Missile) : 573% WD + (582% WD * 12.5% (Chance of 1st cascading missile)) + (582% WD * (12.5% x 12.5%) (Chance of 2nd cascading missile) + (582% WD * (12.5%)^3 (Chance of 3rd cascading missile).
Cascade (DMG / First Missile) : 573% WD + (72.5% Effective 1st Missile DMG) + (9.09375% Eff. 2nd Missile DMG) + (1.1367% Eff. 3rd Missile DMG) + (0.14209% Eff. 4th Missile DMG [for rigor]) = 655.87254 % WD = Effective damage of the first fired missile of arcane torrent, taking into statistical account all of its possible subsequent cascades.
Now, unlike with disruption, cascade doesn't benefit from enhanced damage for subsequent missiles. Thus the effective damage of the second fired missile—as well as every subsequent missile—is the same as the first: 655.87254% (again, this assumes > 4 cascades / fired missile to be unlikely).
Thus, the average effective damage per missile for Arcane Torrent under the Cascade rune is 655.87254%.
Setting our previous equation for disruption's effective damage equal to our value for cascade's effective damage (per fired missile), we obtain:
658.95% - 85.95% / x = 655.87254%, x = number of fired missiles.
Solving for x, we obtain x = 27.9289 missiles, or approximately 9.31 volleys. This means, for a single target, it takes 9.31 volleys of arcane torrent under disruption before it exceeds the average damage of arcane torrent under cascade. This assumes all subsequent cascading missiles hit the same target. At the the limit of x = infinite volleys, the effective damage of arcane torrent + disruption peaks at 658.95%, exceeding cascade. These conclusions are illustrated in the figure below.
The takeaway from this analysis is as y'all intuited: on average, cascade is better disruption, on average exceeding it by 24.7% WD per fired missile (74.1% WD per volley). However, for sustained fire on single targets (who have already been disrupted), disruption becomes preferable, exceeding cascade % WD after approximately 27 missiles (9 volleys).
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Disruption is awesome in multiplayer games when you have more than one arcane wizard running.
But I said "usually" for Cascade. If you have items like Moonlight Ward and a lot of arcane bonuses, and say you're running Arcane Orbit and Cannoneer at the same time, I can see Disruption being more worthwhile. I don't have the arcane pieces, though, so I can't test it out.
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Disruption (Average DMG / Fired Missile) : (573% WD (First Missile) x [573% WD x 115% Disruption * (x-1)]) / x (Where x is the number of missiles)
D : (573% WD + [658.95% Disrupted WD * (x-1)]) / x (Where x is the number of fired missiles).
Disruption (Avg-DMG / Missile) : 658.95% - 85.95% / x ; x = number of fired missiles.
From this equation we see that with disruption, damage per fired missile grows with every missile, peaking at 658.95% weapon damage / fired missile. For cascade, before we look at the average damage per missile, let us look at the effective damage for the first missile only.
Cascade (DMG / First Missile) : 573% WD + (582% WD * 12.5% (Chance of 1st cascading missile)) + (582% WD * (12.5% x 12.5%) (Chance of 2nd cascading missile) + .... + (582% WD * (12.5%)^n (Chance of nth cascading missile) =
== Effective damage of first missile (+ its n possible subsequent cascading missiles).
Although n approaches infinity, the chances of your first arcane torrent missile unleashing an infinite sequence of cascading missiles is pretty small. In fact, the probability of seeing two cascades from your first missile is only 12.5% ^ 2 = 1.56%. Three? 0.195% Thus to simplify our calculation, we can assume that an individual missile will, at most, cascade thrice, with 12.5% probability for each cascade.
Cascade (DMG / First Missile) : 573% WD + (582% WD * 12.5% (Chance of 1st cascading missile)) + (582% WD * (12.5% x 12.5%) (Chance of 2nd cascading missile) + (582% WD * (12.5%)^3 (Chance of 3rd cascading missile).
Cascade (DMG / First Missile) : 573% WD + (72.5% Effective 1st Missile DMG) + (9.09375% Eff. 2nd Missile DMG) + (1.1367% Eff. 3rd Missile DMG) + (0.14209% Eff. 4th Missile DMG [for rigor]) = 655.87254 % WD = Effective damage of the first fired missile of arcane torrent, taking into statistical account all of its possible subsequent cascades.
Now, unlike with disruption, cascade doesn't benefit from enhanced damage for subsequent missiles. Thus the effective damage of the second fired missile—as well as every subsequent missile—is the same as the first: 655.87254% (again, this assumes > 4 cascades / fired missile to be unlikely).
Thus, the average effective damage per missile for Arcane Torrent under the Cascade rune is 655.87254%.
Setting our previous equation for disruption's effective damage equal to our value for cascade's effective damage (per fired missile), we obtain:
658.95% - 85.95% / x = 655.87254%, x = number of fired missiles.
Solving for x, we obtain x = 27.9289 missiles, or approximately 9.31 volleys. This means, for a single target, it takes 9.31 volleys of arcane torrent under disruption before it exceeds the average damage of arcane torrent under cascade. This assumes all subsequent cascading missiles hit the same target. At the the limit of x = infinite volleys, the effective damage of arcane torrent + disruption peaks at 658.95%, exceeding cascade. These conclusions are illustrated in the figure below.
The takeaway from this analysis is as y'all intuited: on average, cascade is better disruption, on average exceeding it by 24.7% WD per fired missile (74.1% WD per volley). However, for sustained fire on single targets (who have already been disrupted), disruption becomes preferable, exceeding cascade % WD after approximately 27 missiles (9 volleys).