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Prayer: Difference between revisions
From Melvor Idle
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Alt Magic -> Alt. Magic for consistency
m (→Prayer Point Acquisition Rates: Fix and elaborate on Slayer rates) |
m (Alt Magic -> Alt. Magic for consistency) |
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{{V|1.0. | {{V|1.0.3}} | ||
[[File:Prayer (skill).svg|thumb|right|Prayer]] | [[File:Prayer (skill).svg|thumb|right|Prayer]] | ||
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== Prayer Point Acquisition Rates == | == Prayer Point Acquisition Rates == | ||
{{SpoilerBox|text= | {{SpoilerBox|text= | ||
{{Skill|Fishing}} | 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 | |||
With the {{ItemIcon|Amulet of Fishing}}, | {{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 = 0.66 = 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. | |||
---- | |||
{{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: | |||
* 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 | 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}} | |title=Calculations|color=default}} | ||
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! Result | ! Result | ||
|- | |- | ||
| Fishing {{ItemIcon|Raw Skeleton Fish}} with [[Fishing#Fishing_Rods|Dragon Rod]] | | Fishing {{ItemIcon|Raw Skeleton Fish}} with [[Fishing#Fishing_Rods|Dragon Rod]] and {{MasteryReq|Raw Skeleton Fish|1}} | ||
| <math>3 | | <math>3 \times 0.95 \times \tfrac{1 + 0.004}{4.8}</math> | ||
| 0. | | 0.60 | ||
|- | |- | ||
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod | | Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod and {{MasteryReq|Raw Skeleton Fish|99}} | ||
| <math>3 \times | | <math>3 \times 0.92 \times \tfrac{2}{4.8}</math> | ||
| 1. | | 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}} | | Alt. Magic/{{Icon|type=spell|Blessed Offering}} with {{ItemIcon|Staff of Earth|Staff}} | ||
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| <math>3 \times 3/(2 + 0.0319)</math> | | <math>3 \times 3/(2 + 0.0319)</math> | ||
| 4.43 | | 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]] | | 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]] | ||
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| 4.91 | | 4.91 | ||
|- | |- | ||
| Fishing {{ItemIcon|Raw Skeleton Fish}} with | | 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"> | ||
| <math>3 \times | * {{UpgradeIcon|Dragon Fishing Rod}} | ||
| | * {{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 | |||
* {{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 + 0.66 \right ) + 0.03}{2.8}</math> | |||
| 6.79 | |||
|- | |- | ||
| | | [[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) | 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 | 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: | 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]] | ||
