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Prayer: Difference between revisions
From Melvor Idle
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prayer is awarded per BASE pp cost
(→Prayer Point Acquisition Rates: Update Slayer example to exceed greatest non-combat method) |
m (prayer is awarded per BASE pp cost) |
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{{V|1.0. | {{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 | {{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 | * <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 | ||
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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. | 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. | ||
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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: | 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}} | * 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}} | * 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. | ||
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* {{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. | | <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 | | Details in Calculations above | ||
| 5.8 barebones<br>34 with proper setup | | 5.8 barebones<br>34 with proper setup | ||
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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]] | ||
