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Prayer: Difference between revisions

From Melvor Idle
5,656 bytes removed ,  12 May 2023
Cleaned up explanations into a single "Mechanics" section, added Skill Unlocks table, reformatted Skillcapes, broke cost reduction and chance to preserve into separate headers under "Skill Bonuses"
(→‎Reducing Prayer Point Usage: (Astrology rework) simplify max preserve rate)
(Cleaned up explanations into a single "Mechanics" section, added Skill Unlocks table, reformatted Skillcapes, broke cost reduction and chance to preserve into separate headers under "Skill Bonuses")
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{{V|1.1}}
{{V|1.1.2}}
[[File:Prayer (skill).svg|thumb|right|Prayer]]
[[File:Prayer (skill).svg|thumb|150px|right|Prayer]]


'''{{PAGENAME}}''' is a {{Icon|Combat}} skill that provides passive bonuses at the expense of prayer points. Prayer points can be gained by burying bones from the [[Bank]]. Killing [[monsters]] while wearing the {{ItemIcon|Bone Necklace}} will automatically bury bones and award twice the normal amount of prayer points.  During [[Combat]], a maximum of two prayers can be active at once. There is no limit to the amount of prayer points that the player can have. Raising Prayer to {{SkillReq|{{PAGENAME}}|99}} will unlock the {{ItemIcon|Prayer Skillcape}} for purchase from the [[Shop]].
'''{{PAGENAME}}''' is a {{Icon|Combat}} skill. It provides passive combat bonuses at the expense of '''prayer points'''. Prayer is one of three skills (along with {{Skill|Defence}} and {{Skill|Hitpoints}}) that is used when determining a player or monster's [[Combat Level]].


{{PAGENAME}} experience is earned when dealing damage to [[monsters]] while any prayers with a cost per player attack are active. The amount of {{PAGENAME}} experience earned is <math>\frac{1}{30}</math> or <math>0.0\bar{3}</math> per point of damage dealt multiplied by the base prayer point cost per player attack. Note that the 'prayer point cost' is the base cost before any [[#Reducing Prayer Point Usage|cost modifiers]] are applied, meaning that methods used by the player to either reduce or increase prayer costs do not affect the experience earned. This experience can be increased by 4% by equipping the {{ItemIcon|Gold Emerald Ring}}, which along with the 1% increase from {{PetIcon|Pyro}} and 5% from {{ItemIcon|Firemaking Skillcape}} provides a skill XP increase of 10%.
== Mechanics ==
=== Using Prayers ===
Up to two prayers can be activated from the Prayer panel on the Combat UI. Active prayers will be highlighted, and can be deactivated by interacting with them again. Active prayers provide a variety of passive benefits in combat. New prayers are unlocked as the Prayer skill levels up.


== Prayer Point Acquisition Rates ==
Each equipment set tracks active prayers separately, but a given prayer can be used in any number of equipment sets. Upon [[Combat#Death|death]], all prayers are deactivated for the current equipment set and must be manually reapplied.
{{SpoilerBox|text=
The general formula used for {{Skill|Fishing}} is <math>P \times A_F \times \tfrac{2^M \times \left (1 + C_M \right ) \times \left ( 1 + C_D \right ) + C_A}{S}</math>, where:
* <math>P</math> is the prayer points per fish, a constant of 3 for {{ItemIcon|Raw Skeleton Fish}}
* <math>A_F</math> is the area's fish chance, a base of 95% (or 0.95) for the Secret Area
* <math>M</math> is the number of things guaranteed to double the number of fish caught
* <math>C_M</math> is the chance to double provided by the fish {{Icon|Mastery}} level - for Fishing this is rolled separately from the chance to double from all other sources
* <math>C_D</math> is the chance to double from all other sources, provided by a number of things such as the {{ItemIcon|Fishing Hook}}
* <math>C_A</math> is the chance to gain 1 additional resource, provided by {{ItemIcon|Octopus}}
* <math>S</math> is the average number of seconds between catches


{{Skill|Fishing}} with the {{UpgradeIcon|Dragon Fishing Rod}} has an average catch time of <math>S = \tfrac{2.4 + 7.2}{2} = 4.8</math> seconds. With the {{ItemIcon|Amulet of Fishing}}, this is reduced further to <math>S = \tfrac{1.8 + 5.4}{2} = 3.6</math> seconds, and can be reduced further still with {{Icon|type=constellation|Ameria}}.
=== Prayer Points ===
Each active prayer costs prayer points (PP) to maintain. This cost is usually incurred when the player or enemy attacks; the specific trigger is detailed in each prayer's description. If the player doesn't have enough PP to trigger an active prayer, it will be deactivated.


The {{ItemIcon|Fishing Skillcape}} and {{MasteryReq|Raw Skeleton Fish|99}}, when both are active <math>M = 2</math> and so guaranteed doubling provides <math>2^2 = 4</math> times the usual number of fish.
Prayer points can be gained by burying bones, enchanted urns, and similar items from the [[Bank]]. Current PP is shown in the Stats panel in the Combat UI and next to the Prayer skill in the sidebar. There is no maximum PP limit.


Assuming a somewhat optimal setup as per [https://docs.google.com/spreadsheets/d/1oDeCK-ObKd8xBlCcJtA_pBmXzkgg9wm5NwL8GI8tqhk this sheet], the time between catches reduces to <math>S = 2.8</math> seconds, chance to double becomes <math>C_D = 0.73 = 73\%</math>, and the additional resource chance becomes <math>C_A = 0.03 = 3\%</math>. This assumes 10% chance to double and 10% interval reduction from {{Skill|Astrology}}, as rolls higher than this require too much dust.
Damage dealt by failed {{Skill|Thieving}} attempts is not currently considered an "enemy attack", allowing {{PrayerIcon|Protect Item}} and all prayers that provide [[Damage Reduction]] to be used indefinitely at no cost while Thieving. This may be a bug.
----
{{Skill|Alternative Magic|Alt.Magic}} has the interval of 2 seconds. With {{ItemIcon|Amulet of Incantation}}, the Alt.Magic interval goes down to 1.8 seconds.


The earth rune expenditure can be mitigated by using the {{ItemIcon|Staff of Earth}} leaving two {{ItemIcon|Nature Rune}}s per cast. It adds roughly <math>(1.3+2)/16/\frac{1}{1-0.8} = 0.04125</math> seconds per a Blessed Offering cast if we consider the maximum preservation, mastery, mining without the [[Shop#God_Upgrades|God Upgrades]]
=== Earning Prayer XP ===
{{PAGENAME}} experience is earned when dealing damage to an enemy while at least one prayer is active. Certain prayers provide no XP, usually because they don't trigger on a player attack; each prayer's description explains whether or not it rewards XP.


The rune expenditure can be mitigated further by the {{ItemIcon|Nature's Call Staff}} and the {{ItemIcon|Magic Skillcape}}, leaving only one {{ItemIcon|Earth Rune}} per cast. Using the [[Shop#God_Upgrades|God Upgrades]], It can be sped up to roughly <math>(0.85+1.7)/16/\frac{1}{1-0.8} = 0.0319</math> seconds per a Blessed Offering cast.
The amount of {{PAGENAME}} experience earned is <math>\frac{1}{30}</math> or <math>0.0\bar{3}</math> per point of damage dealt by a player attack, multiplied by the total base PP cost of all active prayers. "Base" PP cost refers to the cost of a prayer before any [[#Prayer Cost Reduction|cost modifiers]] are applied, meaning that increasing or decreasing prayer costs will not affect how much XP is earned. Using prayers with the highest base costs will result in the most Prayer XP gained per attack.
----
For {{Skill|Slayer}} calculation in [[Combat Simulator]], the following setup was used:
* Full {{ItemIcon|Glacia God Helmet|Glacia set}}, {{ItemIcon|Skull Cape}}, {{ItemIcon|Elite Amulet of Magic}}, {{ItemIcon|Cloudburst Staff}}
* Level 95 in all skills, {{Icon|Hardcore}} mode, and either {{Icon|Water Wave|type=spell}} or {{Icon|Water Surge|type=spell}}
* [[Slayer#Elite|Elite tasks]] with {{UpgradeIcon|Auto Slayer}} enabled


With self-sustaining food from the Slayer supplies, the time of {{Icon|Water Wave|type=spell}} adjusted by crafting runes is 5.8 prayer points per second. The calculations can be found [https://docs.google.com/spreadsheets/d/1K2C37QQDp1-ublNSj6kgltsApHSs5DCq9OtcCeBGrrs/edit#gid=0 here].
Prayer can be used to great effect with any combat style. With a healthy supply of PP, Prayer is one of the first Combat skills to reach max level for many players.


{{ItemIcon|Blazing Lantern}} in the [[Passive Slot]] or {{ItemIcon|Maximum Skillcape}} increase the SC/h rates dramatically, by giving you access to {{ZoneIcon|Shrouded Badlands}} and {{MonsterIcon|Bounty Hunter}}
== Gaining Prayer Points ==
The most common way to gain prayer points (PP) is to use the "Bury Item" action on certain items from the [[Bank]]. Most non-[[Dungeons|Dungeon]] monsters drop some kind of {{ItemIcon|Bones}} when killed. Burying these bones is one of the only sources of PP in the early game, but provide very small amounts and are required en masse for certain {{Skill|Township}} tasks.


The Slayer case can be vastly improved by {{ItemIcon|Witch}} and {{ItemIcon|Cyclops}}, {{Skill|Agility}}, {{Skill|Astrology}}, and {{ItemIcon|Hunter's Ring}}, giving 350k slayer coins raw or around 250k when adjusted by the preparation, resulting in around 34 prayer points per second.
{{ItemIcon|Small Urn (Enchanted)|Enchanted Urns}} are by far the most efficient source of PP, despite requiring moderate investments in {{Skill|Woodcutting}}, {{Skill|Crafting}}, and {{Skill|Magic}}. It may be useful to delay leveling Prayer until the player can create and bury these urns. {{ItemIcon|Raw Skeleton Fish}} are a feasible, though less efficient, alternative for players without the prerequisite skills.


|title=Calculations|color=default}}
The {{TotH}}{{ItemIcon|Amulet of Prayers}} and {{TotH}}{{ItemIcon|Holy Bulwark Potion}} provide PP upon taking damage from a monster.


{| class="wikitable"
=== Bones ===
|-
The table below lists all items that can be buried to gain prayer points.
! Method
! Prayer points per second
! Result
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with [[Fishing#Fishing_Rods|Dragon Rod]] and {{MasteryReq|Raw Skeleton Fish|1}}
| <math>3 \times 0.95 \times \tfrac{1 + 0.004}{4.8}</math>
| 0.60
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod and {{MasteryReq|Raw Skeleton Fish|99}}
| <math>3 \times 0.92 \times \tfrac{2}{4.8}</math>
| 1.15
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod, {{MasteryReq|Raw Skeleton Fish|99}}, {{ItemIcon|Fishing Skillcape|Cape}}, and {{ItemIcon|Amulet of Fishing|Amulet}}
| <math>3 \times 0.92 \times \tfrac{2^2}{3.6}</math>
| 3.07
|-
| Alt. Magic/{{Icon|type=spell|Blessed Offering}} with {{ItemIcon|Staff of Earth|Staff}}
| <math>3 \times 3/(2 + 2 \times 0.04125)</math>
| 4.32
|-
| Alt. Magic/{{Icon|type=spell|Blessed Offering}} with {{ItemIcon|Nature's Call Staff|Staff}}, {{ItemIcon|Magic Skillcape|Cape}} and [[Shop#God_Upgrades|God Upgrades]]
| <math>3 \times 3/(2 + 0.0319)</math>
| 4.43
|-
| Alt. Magic/{{Icon|type=spell|Blessed Offering}} with {{ItemIcon|Nature's Call Staff|Staff}}, {{ItemIcon|Magic Skillcape|Cape}}, {{ItemIcon|Amulet of Incantation|Amulet}} and [[Shop#God_Upgrades|God Upgrades]]
| <math>3 \times 3/(1.8 + 0.0319)</math>
| 4.91
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with a reasonably optimal setup. <span style="float:right;margin-left:1em;margin-right:0;" class="mw-collapsible mw-collapsed" data-expandtext="Show setup" data-collapsetext="Hide">
* {{UpgradeIcon|Dragon Fishing Rod}}
* {{MasteryReq|Raw Skeleton Fish|99}} and [[Fishing#Mastery_Pool_Checkpoints|50% Mastery Pool Checkpoint]]
* {{ItemIcon|Fishermans Potion IV}}
* {{ItemIcon|Fishing Skillcape}}, {{ItemIcon|Amulet of Fishing}}, {{ItemIcon|Sailor's Top}}, {{ItemIcon|Aorpheat's Signet Ring}}, {{ItemIcon|Ring of Wealth}} (in [[Passive Slot]]), {{ItemIcon|Fishing Hook}}, and {{ItemIcon|Octopus}} equipped
* {{PetIcon|Pudding Duckie}} and {{PetIcon|Aquarias}} unlocked
* Rock Climb and Ice Jump [[Agility#Obstacles|Agility Obstacles]], as well as the [[Agility#Passive Pillars|Pillar of Skilling]]
* 10% Chance to double and 10% Interval reduction from {{Icon|type=constellation|Ameria}}</span>
| <math>3 \times 0.95 \times \tfrac{2^2 \times \left ( 1 + 0.73 \right ) + 0.03}{2.8}</math>
| 7.07
|-
| [[Slayer#Elite|Elite]] {{Skill|Slayer}} tasks
| Details in Calculations above
| 5.8 barebones<br>34 with proper setup
|}


Slayer tasks do not directly generate many bones. Instead, the Prayer points are acquired by spending the {{Icon|Slayer Coins}} earned at the [[Shop]] on either {{Icon|Standard Resupply}} or {{Icon|Generous Resupply}} packs, which contain {{ItemIcon|Magic Bones|qty=500}} and {{ItemIcon|Magic Bones|qty=1000}} respectively. (The {{Icon|Basic Resupply}} provides a worse rate than the other two and should be avoided)
If any of these items are received as monster loot while wearing the {{ItemIcon|Bone Necklace}}, they will automatically be buried for twice the normal amount of PP.
 
Both the Standard and Generous Resupply packs allow converting Slayer Coins into Prayer Points at a rate of {{SC|2}} per Prayer Point. This means Slayer tasks begin generating 7 prayer points per second once the player can gain at least {{SC|50400}} per hour.
 
== Bones ==
Bones can primarily be acquired by killing [[Monsters]] that are not in [[Dungeons]]. Alternative sources are:
* {{ItemIcon|Raw Skeleton Fish}} from {{Skill|Fishing}}
* {{Icon|type=spell|Bone Offering}} and {{Icon|type=spell|Blessed Offering}} spells from {{Skill|Alt. Magic}}
* {{ItemIcon|Stack of Bones}} from the {{Icon|type=thieving|Troll}} or {{Icon|type=thieving|Cyclops}} {{Skill|Thieving}} NPCs
* {{Icon|Basic Resupply}}, {{Icon|Standard Resupply}}, or {{Icon|Generous Resupply}} packs from the [[Shop]]
{{BonesTable}}
{{BonesTable}}


== Prayers ==
== Prayers ==
All prayers that provide percentage bonuses to Accuracy, Evasion, or Max Hit apply multiplicatively. For example, {{PrayerIcon|Mystic Might}}'s +15% Magic Evasion bonus will multiply the player's [[Combat#Magic Evasion Rating|Magic Evasion Rating]] by 1.15 rather than directly providing a 15% chance to evade any Magic attack. Likewise, the +15% Magic Accuracy bonus it provides will multiply the player's [[Combat#Accuracy Rating|Magic Accuracy Rating]] by 1.15 rather than simply adding 15% to their hit chance. Players can view the {{Icon|Combat}} page for more detail on how hit chance is calculated.


All prayers that provide a percentage increase apply multiplicatively, except for {{PrayerIcon|Safeguard}} and {{PrayerIcon|Stone Skin}} which provide flat increases to [[Damage Reduction]]. For example, {{PrayerIcon|Mystic Might}}'s +15% Magic Evasion bonus will multiply the player's [[Combat#Magic Evasion Rating|Magic Evasion Rating]] by 1.15 rather than directly providing a 15% chance to evade any Magic attack. Likewise, the +15% Magic Accuracy bonus it provides will multiply the player's [[Combat#Magic Accuracy Rating|Magic Accuracy Rating]] by 1.15 rather than simply adding 15% to their hit chance. Players can view the {{Icon|Combat}} page for more detail on how hit chance is calculated.
The three Protection prayers are worded differently and behave differently from prayers that affect Evasion Rating. For example, {{PrayerIcon|Protect from Magic}} provides a flat 80% chance for the player to dodge any Magic attack, completely ignoring the player's Evasion Rating. (Using these prayers when a monster's chance to hit is 20% or lower is not advised, as that ''increases'' the chance of being hit.) Likewise, prayers that provide [[Damage Reduction]] award a flat percentage bonus, and do not multiply any DR that is already in effect.
{{PrayerTable}}


The three Protection prayers are worded differently and behave differently from prayers that affect Evasion Rating. For example, {{PrayerIcon|Protect from Magic}} provides a flat 80% chance for the player to dodge any Magic attack, therefore using protection prayers when the monsters's chance to hit is 20% or lower is not advised as doing so would increase the monster's chance to hit.
== Skill Level Unlocks ==
{{PrayerTable}}
Increasing the {{PAGENAME}} skill provides access to new prayers.
{{SkillUnlocks|{{PAGENAME}}}}


=== Reducing Prayer Point Usage ===
== Skillcapes ==
To reduce the number of prayer points used by active prayers, players can take advantage of various sources granting modifiers that reduce the prayer point cost of prayers and/or provide a chance to preserve all prayer points the prayer would have used.
The standard and superior [[Skillcapes|skillcapes]] for this skill can be purchased from the store for {{GP|1000000}} and {{GP|10000000}} after the player reaches {{SkillReq|{{PAGENAME}}|99}} and {{SkillReq|{{PAGENAME}}|120}}, respectively. Reaching {{SkillReq|{{PAGENAME}}|120}} requires the {{Icon|Throne of the Herald Expansion|img=TotH|ext=svg}}.
{{SkillcapeInfo}}


The prayer point cost reduction modifiers can reduce the cost of prayers to a minimum of 1 point per prayer, the only exception to this being that {{PrayerIcon|Protect Item}} is free when the {{ItemIcon|Gold Diamond Ring}} is equipped. Any flat prayer point reductions are applied before any percentage reductions, therefore in some specific cases some flat cost reductions provide no benefit. For example, consider a scenario where prayers with an odd prayer point cost are active while both the {{ItemIcon|Prayer Skillcape}} and {{ItemIcon|Priest Hat}} are equipped - in such a case, the Prayer Skillcape reduces the cost to 2 points regardless of whether the Priest Hat is equipped or not.
== Pet ==
This skill's [[Pets|pet]] can be unlocked by performing any action that provides Prayer XP.
{{PetSkillInfo}}


The chance to preserve prayer points provides a chance that active prayers will be used for free. The highest possible chance to preserve is currently 83%.
== Skill Bonuses ==
=== Prayer Cost Reduction ===
These bonuses reduce the cost of each active prayer by either a percentage of its base cost or a flat number of PP, down to a minimum of 1 PP per prayer. Flat reductions are applied before percentage reductions, and the resulting cost is rounded. This rounding can cause some combinations of cost reduction to be ineffective, especially on prayers with lower costs.


Damage dealt by failed {{Skill|Thieving}} attempts does not currently count as an Enemy Attack for the purposes of spending prayer points, allowing the prayers {{PrayerIcon|Safeguard}}, {{PrayerIcon|Stone Skin}}, and {{PrayerIcon|Protect Item}} to be active while thieving for effectively zero cost as long as you have enough prayer points to turn them on. This may be a bug.  
The {{PrayerIcon|Protect Item}} prayer costs no PP when the {{ItemIcon|Gold Diamond Ring}} is equipped.
{{ModifierTable|FlatPrayerCostReduction,PrayerCost,ChanceToPreservePrayerPoints|Prayer Cost Reduction|true}}
{{ModifierTable|FlatPrayerCostReduction,PrayerCost|Prayer Cost Reduction|true}}


== Skillcape ==
=== Chance to Preserve Prayer Points ===
The [[Skillcapes|skillcape]] can be purchased from the store for {{GP|1000000}} after the player reaches {{SkillReq|{{PAGENAME}}|99}}.
With this bonus, any usage of a prayer has a chance to cost no PP, bypassing other cost reduction modifiers. The chance is rolled each time the prayer is triggered.
{{SkillcapeInfo}}
{{ModifierTable|ChanceToPreservePrayerPoints|Chance to Preserve Prayer Points|true}}


== Pet ==
The [[Pets|pet]] can be unlocked by doing any action that provides Prayer XP.
{{PetSkillInfo}}
[[Category:Skills]]
[[Category:Skills]]
{{PrayerNav}}
{{PrayerNav}}
{{Menu}}
{{Menu}}
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