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Experience Table: Difference between revisions

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Experience Table (view source)

Revision as of 10:59, 5 November 2022

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Combine level 1-99 & 100-120 tables, amend table classes & add note around maximum levels
(Removed 'Guides' category)
(Combine level 1-99 & 100-120 tables, amend table classes & add note around maximum levels)
 
(13 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{| class="wikitable alternating-rows sticky-header" style="text-align:right;"
'''Note:''' Enabling "Virtual Levels" in the [[Settings]] will show the player if they would be on a level higher than 99 ({{TotH}} 120), even though this gives almost no benefits. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however note that calculation will use your Virtual Level regardless of the setting.
Note: Enabling "Virtual Levels" in the [[Settings]] will show the player if they would be on a level higher than 99, even though this gives no benefits.


<onlyinclude>The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is approximately <math display='inline'>\left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor</math>. The table below shows this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>. Note that experience levels are nonlinear and so the amount of experience between 1 and 92 is the same as the amount of experience between 92 and 99. Experience also doubles about every 7 levels. For example, the experience between 7 and 8 is 138 and the experience between 14 and 15 is 274, which is roughly double.


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 \left\lfloor 2^{\frac{L-1}{7}} \right\rfloor \right) \right\rfloor</math>. The table below show this experience difference for each level and also the cumulative experience from level 1 to level <math display='inline'>L</math>.
The base game has a maximum skill and {{Icon|Mastery}} level of 99, with the [[Throne of the Herald Expansion]] the skill level maximum is increased to 120.
 
{| class="wikitable" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links -->
|- class="headerRow-0"
! Level !! XP !! Difference
! rowspan="26" |
! Level !! XP !! Difference
! Level !! XP !! Difference
! rowspan="26" |
! rowspan="26" |
Line 17: Line 20:
| 51 || 111,945 || 10,612
| 51 || 111,945 || 10,612
| 76 || 1,336,443 || 126,022
| 76 || 1,336,443 || 126,022
| 101 || 15,889,109 || 1,497,949
|-
|-
| 2 || 83 || 83
| 2 || 83 || 83
Line 22: Line 26:
| 52 || 123,660 || 11,715
| 52 || 123,660 || 11,715
| 77 || 1,475,581 || 139,138
| 77 || 1,475,581 || 139,138
| 102 || 17,542,976 || 1,653,867
|-
|-
| 3 || 174 || 91
| 3 || 174 || 91
Line 27: Line 32:
| 53 || 136,594 || 12,934
| 53 || 136,594 || 12,934
| 78 || 1,629,200 || 153,619
| 78 || 1,629,200 || 153,619
| 103 || 19,368,992 || 1,826,016
|-
|-
| 4 || 276 || 102
| 4 || 276 || 102
Line 32: Line 38:
| 54 || 150,872 || 14,278
| 54 || 150,872 || 14,278
| 79 || 1,798,808 || 169,608
| 79 || 1,798,808 || 169,608
| 104 || 21,385,073 || 2,016,081
|-
|-
| 5 || 388 || 112
| 5 || 388 || 112
Line 37: Line 44:
| 55 || 166,636 || 15,764
| 55 || 166,636 || 15,764
| 80 || 1,986,068 || 187,260
| 80 || 1,986,068 || 187,260
| 105 || 23,611,006 || 2,225,933
|-
|-
| 6 || 512 || 124
| 6 || 512 || 124
Line 42: Line 50:
| 56 || 184,040 || 17,404
| 56 || 184,040 || 17,404
| 81 || 2,192,818 || 206,750
| 81 || 2,192,818 || 206,750
| 106 || 26,068,632 || 2,457,626
|-
|-
| 7 || 650 || 138
| 7 || 650 || 138
Line 47: Line 56:
| 57 || 203,254 || 19,214
| 57 || 203,254 || 19,214
| 82 || 2,421,087 || 228,269
| 82 || 2,421,087 || 228,269
| 107 || 28,782,069 || 2,713,437
|-
|-
| 8 || 801 || 151
| 8 || 801 || 151
Line 52: Line 62:
| 58 || 224,466 || 21,212
| 58 || 224,466 || 21,212
| 83 || 2,673,114 || 252,027
| 83 || 2,673,114 || 252,027
| 108 || 31,777,943 || 2,995,874
|-
|-
| 9 || 969 || 168
| 9 || 969 || 168
Line 57: Line 68:
| 59 || 247,886 || 23,420
| 59 || 247,886 || 23,420
| 84 || 2,951,373 || 278,259
| 84 || 2,951,373 || 278,259
| 109 || 35,085,654 || 3,307,711
|-
|-
| 10 || 1,154 || 185
| 10 || 1,154 || 185
Line 62: Line 74:
| 60 || 273,742 || 25,856
| 60 || 273,742 || 25,856
| 85 || 3,258,594 || 307,221
| 85 || 3,258,594 || 307,221
| 110 || 38,737,661 || 3,652,007
|-
|-
| 11 || 1,358 || 204
| 11 || 1,358 || 204
Line 67: Line 80:
| 61 || 302,288 || 28,546
| 61 || 302,288 || 28,546
| 86 || 3,597,792 || 339,198
| 86 || 3,597,792 || 339,198
| 111 || 42,769,801 || 4,032,140
|-
|-
| 12 || 1,584 || 226
| 12 || 1,584 || 226
Line 72: Line 86:
| 62 || 333,804 || 31,516
| 62 || 333,804 || 31,516
| 87 || 3,972,294|| 374,502
| 87 || 3,972,294|| 374,502
| 112 || 47,221,641 || 4,451,840
|-
|-
| 13 || 1,833 || 249
| 13 || 1,833 || 249
Line 77: Line 92:
| 63 || 368,599 || 34,795
| 63 || 368,599 || 34,795
| 88 || 4,385,776 || 413,482
| 88 || 4,385,776 || 413,482
| 113 || 52,136,869 || 4,915,228
|-
|-
| 14 || 2,107 || 274
| 14 || 2,107 || 274
Line 82: Line 98:
| 64 || 407,015 || 38,416
| 64 || 407,015 || 38,416
| 89 || 4,842,295 || 456,519
| 89 || 4,842,295 || 456,519
| 114 || 57,563,718 || 5,426,849
|-
|-
| 15 || 2,411 || 304
| 15 || 2,411 || 304
Line 87: Line 104:
| 65 || 449,428 || 42,413
| 65 || 449,428 || 42,413
| 90 || 5,346,332 || 504,037
| 90 || 5,346,332 || 504,037
| 115 || 63,555,443 || 5,991,725
|-
|-
| 16 || 2,746 || 335
| 16 || 2,746 || 335
Line 92: Line 110:
| 66 || 496,254 || 46,826
| 66 || 496,254 || 46,826
| 91 || 5,902,831 || 556,499
| 91 || 5,902,831 || 556,499
| 116 || 70,170,840 || 6,615,397
|-
|-
| 17 || 3,115 || 369
| 17 || 3,115 || 369
Line 97: Line 116:
| 67 || 547,953 || 51,699
| 67 || 547,953 || 51,699
| 92 || 6,517,253 || 614,422
| 92 || 6,517,253 || 614,422
| 117 || 77,474,828 || 7,303,988
|-
|-
| 18 || 3,523 || 408
| 18 || 3,523 || 408
Line 102: Line 122:
| 68 || 605,032 || 57,079
| 68 || 605,032 || 57,079
| 93 || 7,195,629 || 678,376
| 93 || 7,195,629 || 678,376
| 118 || 85,539,082 || 8,064,254
|-
|-
| 19 || 3,973 || 450
| 19 || 3,973 || 450
Line 107: Line 128:
| 69 || 668,051 || 63,019
| 69 || 668,051 || 63,019
| 94 || 7,944,614 || 748,985
| 94 || 7,944,614 || 748,985
| 119 || 94,442,737 || 8,903,655
|-
|-
| 20 || 4,470 || 497
| 20 || 4,470 || 497
Line 112: Line 134:
| 70 || 737,627 || 69,576
| 70 || 737,627 || 69,576
| 95 || 8,771,558 || 826,944
| 95 || 8,771,558 || 826,944
| 120 || 104,273,167 || 9,830,430
|-
|-
| 21 || 5,018 || 548
| 21 || 5,018 || 548
Line 136: Line 159:
| 50 || 101,333 || 9,612
| 50 || 101,333 || 9,612
| 75 || 1,210,421 || 114,143
| 75 || 1,210,421 || 114,143
| colspan="3" |
| 100 || 14,391,160 || 1,356,729
|}
|}</onlyinclude>


The formula needed to calculate the amount of experience needed to reach level L is:
The formula to calculate the amount of experience needed to reach level <math display='inline'>L</math> is:


:<math>\mathit{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math>
:<math>\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math>


If the floor functions are ignored, the resulting summation can be found in closed form to be:
If the floor functions are ignored, the resulting summation can be found in closed form to be:


:<math>\mathit{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)</math>
:<math>\text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)</math>


The approximation is very accurate, always within 100 experience but usually less than around 10 experience.
The approximation is very accurate, always within 100 experience but usually less than around 10 experience.


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