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Prayer: Difference between revisions

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prayer is awarded per BASE pp cost
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{{V|0.20}}
{{V|1.0.4}}
 
[[File:Prayer (skill).svg|thumb|right|Prayer]]
[[File:Prayer (skill).svg|thumb|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 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}} experience is earned when dealing damage to [[monsters]] while any prayers costing per player attack are active. The amount of {{PAGENAME}} experience earned is 0.1 per point of damage dealt multiplied by the 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%.
{{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%.
 
== Prayer Point Acquisition Rates ==
{{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}}.
 
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.
 
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.
----
{{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]]
 
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.
----
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].
 
{{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}}
 
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.
 
|title=Calculations|color=default}}
 
{| class="wikitable"
|-
! 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)
 
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 ==
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}} or {{Icon|type=spell|Blessed Offering}} spells from {{Skill|Alt Magic}}, and {{Icon|Basic Resupply}}, {{Icon|Standard Resupply}}, or {{Icon|Generous Resupply}} packs from the [[Shop]].
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 a percentage increase apply multiplicatively, except for {{PrayerIcon|Stone Skin}} which provides a flat 3% increase 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.
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 85% chance for the player to dodge any Magic attack.


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.
{{PrayerTable}}
{{PrayerTable}}


=== Reducing Prayer Point Usage ===
=== Reducing Prayer Point Usage ===
To reduce the number of prayer points used by active prayers, players can:
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 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 protection prayers are 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.


* Reduce the prayer cost (to a minimum of 1 point per prayer):
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 78% without {{Skill|Astrology}} constellations, or up to 93% should the player manage to roll +5% chance to preserve prayer points on all three unique modifier stars within the {{Icon|type=constellation|Hyden}} constellation.
** {{ItemIcon|Prayer Skillcape}} halves the cost of prayers when equipped (rounded down to the nearest whole number of prayer points)
** {{ItemIcon|Priest Hat}} decreases the cost of prayers by 1 point when equipped
** The Cave Maze [[Agility#Obstacles|Agility obstacle]] decreases the cost of prayers by 1 point when active (similarly, Cliff Balance ''increases'' the cost of prayers by at least 2 points, so ideally should not be built if minimising prayer costs)
* Increase the chance to preserve prayer points:
** [[Divine Potion|Divine Potions]] provide a 10-35% chance to preserve prayer points
** {{PetIcon|Monk-ey}} and {{PetIcon|Norman}} provide a 5% and 3% chance respectively to preserve prayer points
** The Cave Maze and Lava Waterfall Dodge [[Agility#Obstacles|Agility obstacles]] each provide a 10% chance to preserve prayer points


Note that the reductions from {{ItemIcon|Priest Hat}} and the Cave Maze [[Agility#Obstacles|obstacle]] are applied before the cost is halved by the {{ItemIcon|Prayer Skillcape}}, meaning that for prayers costing an odd number of prayer points there is no benefit gained unless using both the {{ItemIcon|Priest Hat}} and Cave Maze obstacle while the {{ItemIcon|Prayer Skillcape}} is equipped.
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.
{{ModifierTable|FlatPrayerCostReduction,PrayerCost,ChanceToPreservePrayerPoints|Prayer Cost Reduction|true}}


== Skillcape ==
== Skillcape ==
The [[Skillcapes|skillcape]] can be purchased from the store for {{GP|1000000}} after the player reaches {{SkillReq|{{PAGENAME}}|99}}.
The [[Skillcapes|skillcape]] can be purchased from the store for {{GP|1000000}} after the player reaches {{SkillReq|{{PAGENAME}}|99}}.
{{SkillcapeInfo}}
{{SkillcapeInfo}}
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