Enhanced Devoted

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Enhanced Devoted



Release date								5 September 2016 (Update)
Gizmo type								Armour

Maximum rank

Standard								3
Ancient								4

In-game description
4.5% chance per rank on being hit that protection prayers will work at 100% (or 75% in PvP) for 3 seconds. This does not stack with devoted. This perk has an increased chance to activate on level 20 items.

Advanced data

Dbrow ID								779
Links								Dbrow779

Enhanced Devoted is a perk in Invention that is a 2-slot version of the Devoted perk. It has an improved chance on each hit of replicating the Devotion ability for 3 seconds, which causes protection and deflection prayers to reduce damage from the appropriate style to 1. The perk does not put the ability itself on cooldown. This perk takes up two slots in a gizmo, meaning that it cannot be paired with any other perk in the same gizmo. It is created in armour gizmos.

Any type of damage, including typeless damage and self-inflicted damage can activate the perk. The opponent's hit that activates Enhanced Devoted is also affected by the perk. Enhanced Devoted will play the same animation as Devotion whenever it activates, but has an icon of its own in the buffs/debuffs interface when triggered in a PvM situations. When triggered in a PvP situation, the icon doesn't appear.

Activation chance
Rank	Chance (Level 20)
1	4.5% (4.95%)
2	9.0% (9.90%)
3	13.5% (14.85%)
4	18.0% (19.80%)

Analysis

Tables of damage reduction provided by Enhanced Devoted in both PvM and PvP situations. The damage reduction varies with the rank of the perk, the attack rate of the enemy^{[note 1]}, and if the perk is on level 20 gear.

Average damage reduction in PvM for the different ranks of the Enhanced Devoted perk. The attack rate, $t_{A R}$ , of the enemy (given in game ticks) has an effect on the damage reduction. The damage reduction in parentheses correspond to placing this perk on level 20 gear.

Rank	Average Damage Reduction
Rank	$t_{A R} = 1$	$t_{A R} = 2$	$t_{A R} = 3$ or $4$	$t_{A R} = 5 +$
1	19.07% (20.66%)	12.39% (13.51%)	8.61% (9.43%)	4.50% (4.95%)
2	33.09% (35.46%)	22.88% (24.79%)	16.51% (18.02%)	9.00% (9.90%)
3	43.83% (46.58%)	31.89% (34.35%)	23.79% (25.86%)	13.50% (14.85%)
4	52.33% (55.25%)	39.71% (42.55%)	30.51% (33.06%)	18.00% (19.80%)

Average damage reduction in PvP for the different ranks of the Enhanced Devoted perk. The attack rate, $t_{A R}$ , of the enemy (given in game ticks) has an effect on the damage reduction. The damage reduction in parentheses correspond to placing this perk on level 20 gear.

Rank	Average Damage Reduction
Rank	$t_{A R} = 1$	$t_{A R} = 2$	$t_{A R} = 3$ or $4$	$t_{A R} = 5 +$
1	9.53% (10.33%)	6.19% (6.76%)	4.31% (4.72%)	2.25% (2.48%)
2	16.54% (17.73%)	11.44% (12.40%)	8.26% (9.01%)	4.50% (4.95%)
3	21.92% (23.29%)	15.94% (17.17%)	11.89% (12.93%)	6.75% (7.43%)
4	26.16% (27.62%)	19.85% (21.28%)	15.25% (16.53%)	9.00% (9.90%)

Calculations
Assumptions: The enemy is always attacking with the same style that matches the protect prayer or deflect curse used. The enemy is always attacking at the same attack rate. Definitions: $p_{R}$ is the activation chance of Enhanced Devoted. This depends on the rank of Enhanced Devoted, and is multiplied by 1.1 if Enhanced Devoted is on level 20 gear. $t_{d}$ is the time that Enhanced Devoted is active. It has a constant value of 5 game ticks. $t_{A R}$ is the attack rate of the enemy in game ticks. Each time the Enhanced Devoted perk activates it will block $⌈ \frac{t_{d}}{t_{A R}} ⌉$ hits from the enemy. We build a random sequence which represents which hits from the enemy are blocked as follows: Start with an empty sequence At each step append a segment which is: 1 unblocked hit with probaility $1 - p_{R}$ (Enhanced Devoted does not activate on this hit) $⌈ \frac{t_{d}}{t_{A R}} ⌉$ blocked hits with probability $p_{R}$ (Enhanced Devoted activates on the first hit of this segment) Observe that the hits are therefore blocked or unblocked in the ratio $p_{R} ⌈ \frac{t_{d}}{t_{A R}} ⌉ : 1 - p_{R}$ . Hence, the probability that a hit is blocked is $\frac{p_{R} ⌈ \frac{t_{d}}{t_{A R}} ⌉}{p_{R} (⌈ \frac{t_{d}}{t_{A R}} ⌉ - 1) + 1}$ Assuming that the 1 damage resulting from a blocked hit under devotion is negligible, blocking a hit can be viewed as removing all of its damage and so the average damage reduction in player-versus-monster situations is simply the probability of blocking a hit, $R_{P v M} = \frac{p_{R} ⌈ \frac{t_{d}}{t_{A R}} ⌉}{p_{R} (⌈ \frac{t_{d}}{t_{A R}} ⌉ - 1) + 1}$ In player-versus-player situations devotion blocks 75% of the total damage, or half of the remaining damage after protection prayers are applied. So the average damage reduction in this case is $R_{P v P} = \frac{1}{2} \cdot \frac{p_{R} ⌈ \frac{t_{d}}{t_{A R}} ⌉}{p_{R} (⌈ \frac{t_{d}}{t_{A R}} ⌉ - 1) + 1}$

Enhanced Devoted and Devoted

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 rate of the enemy.^{[note 1]} Further information about the combination can be found in the calculator linked at the top of this page.

Sources

	Rarity	Perk ranks with X materials
		Standard gizmo					Ancient gizmo
		1	2	3	4	5	1	2	3	4	5	6	7	8	9
Crystal parts	Common	0	0	1	1	1	0	0	1	1	1	1	1	1	1
Strong components	Uncommon	1	1	1	1–2	1–2	0	1	1	1	1–2	1–2	1–2	1–3	1–4
Faceted components	Rare	1	1	1–2	2	2–3	1	1	1	2	2	2–3	3–4	4	4
Zaros components	Rare	1	1	1–2	2	2–3	0	1	1	1–2	2	2	2–3	3–4	4

Suggested gizmos

Gizmo layout

Possible perks

Approx costs per attempt

The following assumes level 120.

Enhanced Devoted 4

Other possible perks:

Crystal Shield

Open in calculator:

Ancient armour

523,408

8x Faceted 11,334 each
Ancient armour gizmo 432,736 each

See RS:Material prices for details on how prices are approximated.

The following assumes level 120.

Enhanced Devoted 2–3

Other possible perks:

Crystal Shield

Open in calculator:

Armour

117,413

5x Faceted 11,334 each
Armour gizmo 60,743 each

See RS:Material prices for details on how prices are approximated.

Update history

This information has been compiled as part of the update history project. Some updates may not be included – see here for how to help out!

patch 10 April 2017 (Update):
- An Enhanced Devoted perk timer was added to the buff bar.

update 5 September 2016 (Update):
- Added to game.

Notes

^ ^a ^b To be more precise, it is really the frequency of ticks that the player is taking damage and not really the attack rate that determines the increased chance of continuous procs. However, in the simplest case, this is the attack rate of the enemy. As an example, consider four enemies, each with an attack rate of 4, attacking the player with their hits offset by one tick from each other (enemy A attacks tick 1, enemy B attacks tick 2, ...). In this example, this is effectively the same as an attack rate of 1 to the player. This means that as long as the player is taking at least one hit every tick, regardless of the number of enemies attacking, the effective attack rate is 1. Conversely, if these same enemies, each with an attack rate of 4, are attacking the player on the same tick (enemy A attacks tick 1, enemy B attacks tick 1, ...), then the effective attack rate is 4. In general, more enemies attacking the player leads to a higher frequency of ticks that the player is taking hits, increasing the chance of continuous procs and therefore increasing the damage reduction.

References

^ Mod Pi. Devoted and enhanced devoted stack. Reddit. 20 November 2018. (Archived from the original on 13 January 2021.)

[proc-1] To be more precise, it is really the frequency of ticks that the player is taking damage and not really the attack rate that determines the increased chance of continuous procs. However, in the simplest case, this is the attack rate of the enemy. As an example, consider four enemies, each with an attack rate of 4, attacking the player with their hits offset by one tick from each other (enemy A attacks tick 1, enemy B attacks tick 2, ...). In this example, this is effectively the same as an attack rate of 1 to the player. This means that as long as the player is taking at least one hit every tick, regardless of the number of enemies attacking, the effective attack rate is 1. Conversely, if these same enemies, each with an attack rate of 4, are attacking the player on the same tick (enemy A attacks tick 1, enemy B attacks tick 1, ...), then the effective attack rate is 4. In general, more enemies attacking the player leads to a higher frequency of ticks that the player is taking hits, increasing the chance of continuous procs and therefore increasing the damage reduction.

[DevotedAndEnhancedDevotedWorkTogether-2] Mod Pi. Devoted and enhanced devoted stack. Reddit. 20 November 2018. (Archived from the original on 13 January 2021.)

[note 1]

[1]

v • d • e RS3 Invention perks
Abilities	Brief Respite Bulwark Caroming Clear Headed Lunging Mobile Planted Feet Preparation Reflexes Shield Bashing Turtling Ultimatums Taunting
Damage/Accuracy modifying	Aftershock Biting Blunted Crackling Demon Bait Demon Slayer Dragon Bait Dragon Slayer Energising Equilibrium Eruptive Flanking Genocidal Inaccurate Mediocrity Precise Spendthrift Undead Bait Undead Slayer
Damage reduction	Absorbative Crystal Shield Devoted Enhanced Devoted Lucky Venomblood
Adrenaline	Fatiguing Invigorating Impatient
Prayer	Antitheism Profane Hoarding
Additional items	Brassican Looting Prosper Scavenging Scraps
Experience	Enlightened Tinker Wise
Skilling	Butterfingers Breakdown Careless Charitable Cheapskate Confused Explosive Furnace Hasty Honed Imp Souled Naturalist Oblivious Polishing Preservationist Pyromaniac Rapid Refined Wild Runes
Energy drain reduction	Efficient Enhanced Efficient
Utility	Cautious Committed Glow Worm Trophy-taker's
Miscellaneous	Hallucinogenic Junk Food Mysterious Talking
Ancient	Fortune Relentless Ruthless