Anonymous

Prayer: Difference between revisions

From Melvor Idle
631 bytes added ,  12 November 2022
m
Updated to V1.1
(→‎Prayer Point Acquisition Rates: Update Slayer example to exceed greatest non-combat method)
m (Updated to V1.1)
(9 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{V|1.0.1}}
{{V|1.1}}
[[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 <math>\frac{1}{30}</math> or <math>0.0\bar{3}</math> 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 ==
== Prayer Point Acquisition Rates ==
{{SpoilerBox|text=
{{SpoilerBox|text=
The general formula used for {{Skill|Fishing}} is <math>P \times A_F \times \tfrac{2^M \times \left ( 1 + C_D \right ) + C_A}{S}</math>, where:
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>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>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>M</math> is the number of things guaranteed to double the number of fish caught
* <math>C_D</math> is the chance to double, provided from a wide range of sources such as the {{ItemIcon|Fishing Hook}}
* <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>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
* <math>S</math> is the average number of seconds between catches
Line 20: Line 21:
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.
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 = 0.66 = 66\%</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.
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.
{{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.
Line 28: Line 29:
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 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:<br>
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}},<br>
* Full {{ItemIcon|Glacia God Helmet|Glacia set}}, {{ItemIcon|Skull Cape}}, {{ItemIcon|Elite Amulet of Magic}}, {{ItemIcon|Cloudburst Staff}}
Level 95 in all skills, Hardcore mode, and either {{Icon|Water Wave|type=spell}} or {{Icon|Water Surge|type=spell}}. 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].
* 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.
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.
Line 69: Line 75:
* {{UpgradeIcon|Dragon Fishing Rod}}
* {{UpgradeIcon|Dragon Fishing Rod}}
* {{MasteryReq|Raw Skeleton Fish|99}} and [[Fishing#Mastery_Pool_Checkpoints|50% Mastery Pool Checkpoint]]
* {{MasteryReq|Raw Skeleton Fish|99}} and [[Fishing#Mastery_Pool_Checkpoints|50% Mastery Pool Checkpoint]]
* {{ItemIcon|Fishing Skillcape}}, {{ItemIcon|Amulet of Fishing}}, {{ItemIcon|Sailor's Top}}, {{ItemIcon|Aorpheat's Signet Ring}}, {{ItemIcon|Fishing Hook}}, and {{ItemIcon|Octopus}} equipped
* {{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
* {{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]]
* 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>
* 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 + 0.66 \right ) + 0.03}{2.8}</math>
| <math>3 \times 0.95 \times \tfrac{2^2 \times \left ( 1 + 0.73 \right ) + 0.03}{2.8}</math>
| 6.79
| 7.07
|-
|-
| End-game {{Skill|Slayer}} tasks
| [[Slayer#Elite|Elite]] {{Skill|Slayer}} tasks
| Details in Calculations above
| Details in Calculations above
| 5.8 barebones<br>34 with proper setup
| 5.8 barebones<br>34 with proper setup
Line 88: Line 95:
Bones can primarily be acquired by killing [[Monsters]] that are not in [[Dungeons]]. Alternative sources are:
Bones can primarily be acquired by killing [[Monsters]] that are not in [[Dungeons]]. Alternative sources are:
* {{ItemIcon|Raw Skeleton Fish}} from {{Skill|Fishing}}
* {{ItemIcon|Raw Skeleton Fish}} from {{Skill|Fishing}}
* {{Icon|type=spell|Bone Offering}} and {{Icon|type=spell|Blessed Offering}} spells from {{Skill|Alt Magic}}
* {{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
* {{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]]
* {{Icon|Basic Resupply}}, {{Icon|Standard Resupply}}, or {{Icon|Generous Resupply}} packs from the [[Shop]]
Line 103: Line 110:
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.
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.
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.


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.
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.