Devoted

From the RuneScape Wiki, the wiki for all things RuneScape
Jump to: navigation, search
Not to be confused with Devotion.
For the improved perk, see Enhanced devoted.
Clockwork.png
This article has a calculator here.
Calculators determine experience and costs based on real-time prices from the Grand Exchange Market Watch.

Devoted is an Invention perk that has a chance each hit of replicating the Devotion ability for 3 seconds. This effect does not put the ability itself on cooldown. Devoted has an effective level requirement of 74 as the materials required can only be unlocked at that level; however, enhanced devoted can be utilised at any Invention level for the cost of 2 perk slots. It can be created in armour gizmos.

Any type of damage, including typeless damage and self-inflicting damage, can activate the perk. The hit that activates Devoted will also be affected by the perk's effect. Devoted will play the same animation as Devotion whenever it activates, but uses its own icon in the buffs/debuffs interface. In player-versus-player situations the icon does not appear.

Having Devoted and Enhanced Devoted on one's gear has a benefit[1]. Enhanced Devoted takes priority over Devoted. However, as Enhanced Devoted is unable to proc while it is currently active, this allows for a small window of time for Devoted to proc. Both Devoted and Enhanced Devoted, on their own, last 5 game ticks (3 seconds). This also means that it is possible (though unlikely) to have continuous procs of Enhanced Devoted and Devoted. The chance of continuous procs occurring is highly dependent on the attack speed of the enemy.

Activation chance
Rank Chance (level 20)
1 3% (3.3%)
2 6% (6.6%)
3 9% (9.9%)
PvM average damage reduction
Rank or
1 13.39% (14.58%) 8.49% (9.29%) 5.83% (6.39%) 3.00% (3.30%)
2 24.19% (26.11%) 16.07% (17.49%) 11.32% (12.38%) 6.00% (6.60%)
3 33.09% (35.46%) 22.88% (24.79%) 16.51% (18.02%) 9.00% (9.90%)
PvP average damage reduction
Rank or
1 6.70% (7.29%) 4.25% (4.64%) 2.91% (3.19%) 1.50% (1.65%)
2 12.10% (13.05%) 8.04% (8.75%) 5.66% (6.19%) 3.00% (3.30%)
3 16.54% (17.73%) 11.44% (12.40%) 8.26% (9.01%) 4.50% (4.95%)
  • is the attack speed of the enemy in game ticks.
  • All numbers in parentheses refer to level 20 gear.

Calculations[edit | edit source]

For PvM :

  • The average ratio of damage taken, , from Devoted to that of without Devoted is
  • The average damage reduction is then, after some rearranging,

For PvP :

  • The average ratio of damage taken, , from Devoted to that of without Devoted is
  • The average damage reduction is then, after some rearranging,
Notes
  • A calculator for this is at the top of this page.
  • Assumptions :
    • The enemy is always attacking with the same style that matches the protect prayer (deflect curse) used.
    • The enemy is always attacking at the same attack speed.
  • is the rank of the Devoted perk.
  • is the proc chance of Devoted to activate (if the perk is on level 20 gear, then this value is multiplied by 1.1).
  • when or . This represents summing over all possibilities where integer represents the amount of hits prior to the proc of Devoted. The probability of Devoted proccing on hit is therefore .
  • is the time that Devoted is active. This is taken to be 5 game ticks.
  • is the attack speed of the enemy in game ticks.
  • is the random value uniformly sampled between the enemy's minimum hit and maximum hit. The describes different sets of hits. The sets are regenerated for every new value of .
    • has elements with integer . This is the damage taken before the perk procs.
      • Clarification : This does mean that for that there are no elements in this set.
    • has elements with integer . This is the damage taken during the time where Devoted procced.
    • The set of values in for integer is the same in both the numerator and denominator of the ratios for any given .


Simplifications
  • This can be simplified if the assumption is that every value of integer , integer , integer , is taken to be the same . In this scenario, there is no random element and the above is then only dependent on the proc chance and the attack speed of the enemy. This simplification is increasingly accurate in the limit of large . All examples are using large enough values of such that the values should not change to the first two decimal places in percent. Two tables are provided at the top of the page. The first covers all values of for PvM situations. The second table is for PvP for all values of (normal attack speed of player is in non-legacy mode , but all values of have been provided to account for proccing on damage-over-time abilities, 4 tick auto attack, etc., as well as the varied attack speeds of weapons if using legacy combat).

Using these simplifications, the damage reduction reduces to

For PvM :

For PvP :

Sources[edit | edit source]

MaterialRarityPerk ranks with X materials
12345
Armadyl components.png
Armadyl componentsRare01222–3
Zamorak components.png
Zamorak componentsRare01222–3
Bandos components.png
Bandos componentsRare01222–3
Saradomin components.png
Saradomin componentsRare01222–3

Suggested gizmos[edit | edit source]

Gizmo layout Possible perks
Zaros components.png
Zamorak components.pngZaros components.pngZamorak components.png
Zamorak components.png
  • Other possible perks:

References[edit | edit source]

  1. ^ Mod Pi. Devoted and enhanced devoted stack. 20 November 2018.*