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Mastery: Difference between revisions

From Melvor Idle
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Add TotH tagging for pet bonuses
(→‎Earning Mastery XP: Explain each term of the XP per action formula)
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{{V|0.18.2}}
{{V|1.1.1}}
[[File:Mastery.svg|thumb|right|Mastery]]
[[File:Mastery.svg|thumb|right|Mastery]]
'''Mastery''' is a secondary system of levels tied to individual items within a skill. Each item in a non-combat skill (with the exception of {{Skill|Alt. Magic}} spells) has a level associated with it.
'''Mastery''' is a secondary system of levels tied to individual items within a skill. Each item in a non-combat skill (with the exception of {{Skill|Alt. Magic}} spells) has a level associated with it.


The bonuses unlocked by leveling Mastery depend on the specific skill the Mastery is associated with. To see a full list of bonuses for a given skill, check the in-game Mastery guide page for that skill or visit the wiki page for that skill.
The bonuses unlocked by leveling Mastery depend on the specific skill the Mastery is associated with. To see a full list of bonuses for a given skill, check the in-game Mastery section of the completion log, or visit the wiki page for that skill.


==Earning Mastery XP==
==Earning Mastery XP==
Each time a player completes an action with an associated Mastery Level, they will receive Mastery XP for that item. The XP per action calculation is:
Each time a player completes an action with an associated Mastery Level, they will receive Mastery XP for that item. The XP per action calculation is:


<math>\biggl[ \Bigl( \text{Unlocked Milestones} \times \frac{\text{Player Total Mastery for Skill}}{\text{Total Mastery for Skill}} \Bigr) + \Bigl( \text{Item Mastery Level} \times \frac{\text{Total Items in Skill}}{10} \Bigr) \biggr] \times \text{Seconds Per Action} \times 0.5</math>
<math>\Biggl \lfloor \biggl[ \Bigl( \text{Unlocked Milestones} \times \frac{\text{Player Total Mastery for Skill}}{\text{Total Mastery for Skill}} \Bigr) + \Bigl( \text{Item Mastery Level} \times \frac{\text{Total Items in Skill}}{10} \Bigr) \biggr] \times \text{Action Time} \times 0.5 \times \left ( 1 + \text{Bonus} \right ) \Biggr \rfloor</math>


Where:
Where:
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* '''Item Mastery Level''' is the mastery level of the item/action currently being crafted/performed
* '''Item Mastery Level''' is the mastery level of the item/action currently being crafted/performed
* '''Total Items in Skill''' is the number of items/actions within the relevant skill, and can also be expressed as <math>\tfrac{\text{Total Mastery for Skill}}{99}</math>
* '''Total Items in Skill''' is the number of items/actions within the relevant skill, and can also be expressed as <math>\tfrac{\text{Total Mastery for Skill}}{99}</math>
* '''Seconds per Action''' for gathering skills (such as {{Skill|Woodcutting}}) is the number of seconds taken to complete the action. For other skills, please see below
* '''Action Time''' varies depending on the skill:
 
** For gathering skills ({{Skill|Woodcutting}}, {{Skill|Mining}}, {{Skill|Agility}}, {{Skill|Thieving}}, {{Skill|Fishing}} and {{Skill|Astrology}}), this is the number of seconds taken to complete the action. As a result for these skills the Mastery XP gained per second remains the same even when the action time is decreased, however it is still worth reducing the action time to increase the amount of resources gained over time
For the following skills, '''Seconds per Action''' is replaced with the following values, being the lowest possible seconds per action after applying all available interval reduction bonuses (except for {{Skill|Firemaking}}, where the value used is less than the lowest possible burn interval):
** For artisan skills (which consume resources to produce items), the action time is a fixed value regardless of the actual time it takes the player to complete an action. Therefore for these skills, reducing the action time increases the Mastery XP gained per second:
 
{{ActionTimeOverrideTable}}
{| class="wikitable"
* '''Bonus''' is the percentage increase to experience gained. All available bonuses are detailed within the [[#Bonuses|Bonuses]] section below
|-
!Skill
!Seconds per Action
|-
| {{Skill|Firemaking}} || 60% of the log's burn interval before any interval reduction bonuses
|-
| {{Skill|Cooking}} || 2.4
|-
| {{Skill|Smithing}} || 1.6
|-
| {{Skill|Fletching}} || 1.2
|-
| {{Skill|Crafting}} || 1.5
|-
| {{Skill|Runecrafting}} || 1.6
|-
| {{Skill|Herblore}} || 1.6
|}


In other words, there are two main factors that are added together to determine the XP per action:
In other words, there are two main factors that are added together to determine the XP per action:
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After both of these factors are added together, they are multiplied by half of the time per action as measured in seconds.
After both of these factors are added together, they are multiplied by half of the time per action as measured in seconds.


There are two important takeaways from this:
There are three important takeaways from this:
# Mastery XP per action increases substantially as Mastery level in an item increases.
# Mastery XP per action increases substantially as Mastery level in an item increases.
# Mastery XP is gained much more quickly for skills with a lot of items (such as {{Skill|Smithing}}) than it is for skills with only a few (such as {{Skill|Woodcutting}}).
# Mastery XP is gained much more quickly for skills with a lot of items (such as {{Skill|Smithing}}) than it is for skills with only a few (such as {{Skill|Woodcutting}}).
# Decreasing the action time is always beneficial: For artisan skills doing so can significantly increase the rate of Mastery XP gained, while for gathering skills this increases the rate of resources gained.


===Bonuses===
===Bonuses===
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|-
|-
| {{ItemIcon|Ancient Ring of Mastery}} || The Ancient Ring of Mastery is a rare drop that can be found while {{Skill|Fishing}}. It increases Mastery XP gained by 7%.
| {{ItemIcon|Ancient Ring of Mastery}} || The Ancient Ring of Mastery is a rare drop that can be found while {{Skill|Fishing}}. It increases Mastery XP gained by 7%.
|-
| {{ItemIcon|Clown Hat}} || The Clown Hat can be purchased from the {{Skill|Township}} section of the [[Shop]]. It provides a +10% bonus to Mastery XP at a cost of reducing Skill XP by 5% and resource preservation chance by 10%.
|-
| {{ItemIcon|Skillers Hat|notext=true}}{{ItemIcon|Skillers Body|notext=true}}{{ItemIcon|Skillers Leggings|notext=true}}{{ItemIcon|Skillers Boots|notext=true}} Skillers Outfit || When all four pieces of the skillers outfit are equipped, Mastery XP for all skills is increased by 8%.
|-
|-
| {{Skill|Firemaking}} || Each Firemaking item at level 99 Mastery grants +0.25% Mastery XP to other skills. In addition, reaching the 95% Mastery Pool Checkpoint for Firemaking increases global Mastery XP by +5%.
| {{Skill|Firemaking}} || Each Firemaking item at level 99 Mastery grants +0.25% Mastery XP to other skills. In addition, reaching the 95% Mastery Pool Checkpoint for Firemaking increases global Mastery XP by +5%.
|-
|-
| {{PetIcon|Ty}} || Once acquired, the Mastery pet provides a +3% Mastery XP bonus.
| [[Pets]] || Once acquired, multiple pets provide a Mastery XP bonus: {{PetIcon|Ty}} provides +3%, {{PetIcon|Saki}} provides +1%, {{TotH}} {{PetIcon|Party Rock}} provides +4% and {{TotH}} {{PetIcon|Harold}} provides +5%.
|-
| Mastery Pool Checkpoints || The 10% Mastery Pool checkpoint for each skill (except {{Skill|Thieving}}) is a +5% bonus to Mastery XP gained for that skill.
|-
|-
| Mastery Pool Checkpoints || The 10% Mastery Pool checkpoint for each skill is a +5% bonus to Mastery XP gained for that skill.
| {{Skill|Agility}} Obstacles || Several Agility Obstacles provide bonuses to Mastery XP for one or more skills. However, others will reduce the amount of Mastery XP earned, so players focused on levelling Mastery should make sure their Agility course isn't slowing them down.
|-
| {{Skill|Astrology}} Modifiers || Astrology can give you a buff of up to 8% Mastery XP for most skills.
{{TotH}} The {{ConstellationIcon|Rosaniya}} constellation also adds up to 5% global Mastery XP.
|}
|}


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First, it can be spent to level up any item mastery for a skill. Mastery Pool XP spent this way is converted to item mastery XP at a 1:1 rate.
First, it can be spent to level up any item mastery for a skill. Mastery Pool XP spent this way is converted to item mastery XP at a 1:1 rate.


Second, Checkpoints are reached when the Mastery Pool reaches 10%, 25%, 50%, and 95% filled. These bonuses vary by skill, but are often quite powerful. Checkpoints only remain active as long as the Mastery Pool has enough XP in it to meet the requirement - If enough Mastery Pool XP is spent on leveling items to dip below the threshold for a given checkpoint, the bonus will be lost until enough XP is gained to reach it again.
Second, Checkpoints are reached when the Mastery Pool reaches 10%, 25%, 50%, and 95% filled. These bonuses vary by skill, but are often quite powerful. Checkpoints only remain active as long as the Mastery Pool has enough XP in it to meet the requirement - If enough Mastery Pool XP is spent on levelling items to dip below the threshold for a given checkpoint, the bonus will be lost until enough XP is gained to reach it again.


[[Mastery tokens]] can be claimed from the [[bank]] to fill the Mastery Pool for the relevant skill by 0.1% of the maximum pool XP.
[[Mastery tokens]] can be claimed from either the [[bank]] or the spend mastery XP interface, doing so fills the Mastery Pool for the relevant skill by 0.1% of the maximum pool XP.
 
The cap of the mastery pool can be increased with {{ItemIcon|Cape of Completion}} or {{PetIcon|Harold}}, which increase the pool cap by 25% and 50% respectively. Increasing the pool cap makes it easier to maintain the 95% checkpoint bonus without risking the mastery pool completely filling while training a skill.


==Mastery Level XP==
==Mastery Level XP==
Mastery Experience follows the same XP progression as skills do.
Mastery Experience follows the same XP progression as skills do.


The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300 \times 2^{\frac{L-1}{7}} \right) \right\rfloor</math>. The tables below show this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>.
{{:Experience Table}}
 
{| class="wikitable" id="xp_table" <!-- this ID is an anchor for incoming links -->
!Level
!Exp.
!Exp. Diff
! rowspan="26" |
!Level
!Exp.
!Exp. Diff
! rowspan="26" |
!Level
!Exp.
!Exp. Diff
! rowspan="26" |
!Level
!Exp.
!Exp. Diff
|-
|1
|0
|N/A
|26
|8,740
|898
|51
|111,945
|10,612
|76
|1,336,443
|126,022
|-
|2
|83
|83
|27
|9,730
|990
|52
|123,660
|11,715
|77
|1,475,581
|139,138
|-
|3
|174
|91
|28
|10,824
|1,094
|53
|136,594
|12,934
|78
|1,629,200
|153,619
|-
|4
|276
|102
|29
|12,031
|1,207
|54
|150,872
|14,278
|79
|1,798,808
|169,608
|-
|5
|388
|112
|30
|13,363
|1,332
|55
|166,636
|15,764
|80
|1,986,068
|187,260
|-
|6
|512
|124
|31
|14,833
|1,470
|56
|184,040
|17,404
|81
|2,192,818
|206,750
|-
|7
|650
|138
|32
|16,456
|1,623
|57
|203,254
|19,214
|82
|2,421,087
|228,269
|-
|8
|801
|151
|33
|18,247
|1,791
|58
|224,466
|21,212
|83
|2,673,114
|252,027
|-
|9
|969
|168
|34
|20,224
|1,977
|59
|247,886
|23,420
|84
|2,951,373
|278,259
|-
|10
|1,154
|185
|35
|22,406
|2,182
|60
|273,742
|25,856
|85
|3,258,594
|307,221
|-
|11
|1,358
|204
|36
|24,815
|2,409
|61
|302,288
|28,546
|86
|3,597,792
|339,198
|-
|12
|1,584
|226
|37
|27,473
|2,658
|62
|333,804
|31,516
|87
|3,972,294
|374,502
|-
|13
|1,833
|249
|38
|30,408
|2,935
|63
|368,599
|34,795
|88
|4,385,776
|413,482
|-
|14
|2,107
|274
|39
|33,648
|3,240
|64
|407,015
|38,416
|89
|4,842,295
|456,519
|-
|15
|2,411
|304
|40
|37,224
|3,576
|65
|449,428
|42,413
|90
|5,346,332
|504,037
|-
|16
|2,746
|335
|41
|41,171
|3,947
|66
|496,254
|46,826
|91
|5,902,831
|556,499
|-
|17
|3,115
|369
|42
|45,529
|4,358
|67
|547,953
|51,699
|92
|6,517,253
|614,422
|-
|18
|3,523
|408
|43
|50,339
|4,810
|68
|605,032
|57,079
|93
|7,195,629
|678,376
|-
|19
|3,973
|450
|44
|55,649
|5,310
|69
|668,051
|63,019
|94
|7,944,614
|748,985
|-
|20
|4,470
|497
|45
|61,512
|5,863
|70
|737,627
|69,576
|95
|8,771,558
|826,944
|-
|21
|5,018
|548
|46
|67,983
|6,471
|71
|814,445
|76,818
|96
|9,684,577
|913,019
|-
|22
|5,624
|606
|47
|75,127
|7,144
|72
|899,257
|84,812
|97
|10,692,629
|1,008,052
|-
|23
|6,291
|667
|48
|83,014
|7,887
|73
|992,895
|93,638
|98
|11,805,606
|1,112,977
|-
|24
|7,028
|737
|49
|91,721
|8,707
|74
|1,096,278
|103,383
|99
|13,034,431
|1,228,825
|-
|25
|7,842
|814
|50
|101,333
|9,612
|75
|1,210,421
|114,143
|}
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