Prayer: Difference between revisions

449 bytes added ,  29 December 2021
→‎Prayer Point Acquisition Rates: Explain the top Bone Fish option. Sailors Top not accounted for.
m (→‎Prayer Point Acquisition Rates: Add a tentative top-tier Bone Fish option)
(→‎Prayer Point Acquisition Rates: Explain the top Bone Fish option. Sailors Top not accounted for.)
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With the {{ItemIcon|Amulet of Fishing}}, it's <math>(1.8 + 5.4) / 2 = 7.2 / 2 = 3.6</math> seconds.
With the {{ItemIcon|Amulet of Fishing}}, it's <math>(1.8 + 5.4) / 2 = 7.2 / 2 = 3.6</math> seconds.


{{Skill|Alternative Magic|Alt.Magic}} has the interval of 2 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.
 
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 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]]
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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.


The case of {{Skill|Astrology}} modifiers is not calculated yet. If you want to help with it, please contact the Discord server ([https://discord.com/invite/melvoridle link]).
In {{Skill|Astrology}}, we take 10% doubling and 10% interval reduction because the higher rolls require too much dust.
 
Aside from the cape, the final doubling modifier for the Bone Fish method is 1+{{MasteryReq|Raw Skeleton Fish|99}}+{{ItemIcon|Fishermans Potion IV|potion}}+{{ItemIcon|Fishing Hook|hook}}+{{Skill|Astrology|Astrology doubling}} is <math>1 + (99-1) \times 0.004 + 0.12 + 0.1 + 0.1 = 1.712</math>
 
{{ItemIcon|Sailor's Top}} is not accounted for because otherwise you would have to redo all Bone Fish formulas with accounting for the special chance, which will complicate them too much.


|title=Calculations|color=default}}
|title=Calculations|color=default}}
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! Result
! Result
|-
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod
| Fishing {{ItemIcon|Raw Skeleton Fish}} with [[Fishing#Fishing_Rods|Dragon Rod]]
| <math>3/4.8</math>
| <math>3/4.8</math>
| 0.625
| 0.63
|-
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod + {{MasteryReq|Raw Skeleton Fish|99}} or {{ItemIcon|Fishing Skillcape|Cape}}
| Fishing {{ItemIcon|Raw Skeleton Fish}} with Dragon Rod + {{MasteryReq|Raw Skeleton Fish|99}}
| <math>3*2/4.8</math>
| <math>3 \times 2 \times 1.392/4.8</math>
| 1.25
| 1.74
|-
| 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*4/3.6</math>
| 3.333
|-
|-
| 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}}
| <math>(3 \times 3)/(2 + 2 \times 0.04125)</math>
| <math>3 \times 3/(2 + 2 \times 0.04125)</math>
| 4.322
| 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]]
| 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>
| <math>3 \times 3/(2 + 0.0319)</math>
| 4.429
| 4.43
|-
| 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 4 \times 1.392/3.6</math>
| 4.64
|-
|-
| 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]]
| <math>(3 \times 3)/(1.8 + 0.0319)</math>
| <math>3 \times 3/(1.8 + 0.0319)</math>
| 4.913
| 4.91
|-
|-
| Fishing {{ItemIcon|Raw Skeleton Fish}} with everything above plus {{ItemIcon|Generous Cook Potion IV|potion}}, {{ItemIcon|Fishing Hook|hook}}, {{ItemIcon|Sailor's Top|top}}, {{Skill|Summoning}}, and {{Skill|Astrology}}.
| Fishing {{ItemIcon|Raw Skeleton Fish}} with everything above plus {{ItemIcon|Fishermans Potion IV|potion}}, {{ItemIcon|Fishing Hook|hook}},{{ItemIcon|Octopus}}, and {{Skill|Astrology}}.
|
| <math>3 \times (4 \times 1.712 + 0.03)/2.8</math>
| more than 5
| 7.37
|-
|-
| End-game {{Skill|Slayer}} tasks
| End-game {{Skill|Slayer}} tasks
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