Unfortunately, what this doesnt' take into account is
the fact that chain gets resisted what seems like at
least 25% or more fighting white critters. Yellow
critters the resistance is even more. And
reds--forget it. At least Psalm of Warmth is
guaranteed to do at 5 hp of damage per hit?
Thex Luteslinger (Tunare)
> Psalm does dps damage per hit.
> You do Dp damage per "round" (excluding Psalm).
> You have H hp.
>
> Mob hits N times per "round" (unchained).
> Mob does d damage per hit.
> Hence mob does Dm = N*d damage per "round"
> (unchained).
> Chain increases time between hits by 30% (i.e. drops
> Dm by 30%).
> Mob has M hp. (H/M is the important figure)
>
> With Psalm, your survival time is (H/Dm) rounds.
> With Chain, your survival time is (1.3*H/Dm) rounds.
>
> With Psalm, the mob's survival time is M/(Dp +
> N*dps) rounds.
> With Chain, the mob's survival time is M/Dp rounds.
>
> The better song will have a better ratio of your
> survival time
> to the mob's survival time.
>
> Psalm: (H/Dm) / [M/(Dp+Dps)] = (H/M) *
> (Dp+N*dps)/Dm
> Chain: (1.3*H/Dm) / (M/Dp) = (H/M) * (1.3*Dp)/Dm
>
> Drop the common factors to get:
>
> Dp+N*dps > 1.3*Dp if Psalm is better
>
> Which simplifies to:
>
> N*dps > 0.3*Dp if Psalm is better
>
> N = number of times a mob hits you per "round"
> dps = damage of Psalm per hit
> Dp = your average damage per "round"
> Assuming Chain is never resisted
>
> I haven't double-checked the math in this, as I'm
> pretty busy
> coding.