Experience Table: Difference between revisions

From Melvor Idle
(Combine level 1-99 & 100-120 tables, amend table classes & add note around maximum levels)
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'''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 almost no benefits. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however 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 ({{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.


<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.
<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.


{| class="wikitable alternating-rows sticky-header" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links -->
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 16: 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 21: 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 26: 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 31: 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 36: 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 41: 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 46: 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 51: 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 56: 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 61: 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 66: 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 71: 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 76: 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 81: 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 86: 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 91: 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 96: 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 101: 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 106: 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 111: 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 135: 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>
|}</onlyinclude>
Levels beyond 99 are no longer virtual. The level 120 expansion has been released.
{| class="wikitable alternating-rows mw-collapsible mw-collapsed" style="text-align:right;margin:auto; width:100%;"
|+ style='white-space:nowrap;border:solid 1px #465160; padding: 3px;'|Levels 100-120
! Level !! XP !! Difference
! rowspan="8" |
! Level !! XP !! Difference
! rowspan="8" |
! Level !! XP !! Difference
|-
| 100 || 14,391,160 || 1,356,729
| 107 || 28,782,069 || 2,713,437
| 114 || 57,563,718 || 5,426,849
|-
| 101 || 15,889,109 || 1,497,949
| 108 || 31,777,943 || 2,995,874
| 115 || 63,555,443 || 5,991,725
|-
| 102 || 17,542,976 || 1,653,867
| 109 || 35,085,654 || 3,307,711
| 116 || 70,170,840 || 6,615,397
|-
| 103 || 19,368,992 || 1,826,016
| 110 || 38,737,661 || 3,652,007
| 117 || 77,474,828 || 7,303,988
|-
| 104 || 21,385,073 || 2,016,081
| 111 || 42,769,801 || 4,032,140
| 118 || 85,539,082 || 8,064,254
|-
| 105 || 23,611,006 || 2,225,933
| 112 || 47,221,641 || 4,451,840
| 119 || 94,442,737 || 8,903,655
|-
| 106 || 26,068,632 || 2,457,626
| 113 || 52,136,869 || 4,915,228
| 120 || 104,273,167 || 9,830,430
|}


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

Revision as of 10:59, 5 November 2022

Note: Enabling "Virtual Levels" in the Settings will show the player if they would be on a level higher than 99 ( 120), even though this gives almost no benefits. Pet drop rate calculations are based on your Virtual Level, however note that calculation will use your Virtual Level regardless of the setting.

The experience difference between level [math]\displaystyle{ L-1 }[/math] and level [math]\displaystyle{ L }[/math] is approximately [math]\displaystyle{ \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]\displaystyle{ 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 base game has a maximum skill and

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Mastery

level of 99, with the Throne of the Herald Expansion the skill level maximum is increased to 120.

Level XP Difference Level XP Difference Level XP Difference Level XP Difference Level XP Difference
1 0 0 26 8,740 898 51 111,945 10,612 76 1,336,443 126,022 101 15,889,109 1,497,949
2 83 83 27 9,730 990 52 123,660 11,715 77 1,475,581 139,138 102 17,542,976 1,653,867
3 174 91 28 10,824 1,094 53 136,594 12,934 78 1,629,200 153,619 103 19,368,992 1,826,016
4 276 102 29 12,031 1,207 54 150,872 14,278 79 1,798,808 169,608 104 21,385,073 2,016,081
5 388 112 30 13,363 1,332 55 166,636 15,764 80 1,986,068 187,260 105 23,611,006 2,225,933
6 512 124 31 14,833 1,470 56 184,040 17,404 81 2,192,818 206,750 106 26,068,632 2,457,626
7 650 138 32 16,456 1,623 57 203,254 19,214 82 2,421,087 228,269 107 28,782,069 2,713,437
8 801 151 33 18,247 1,791 58 224,466 21,212 83 2,673,114 252,027 108 31,777,943 2,995,874
9 969 168 34 20,224 1,977 59 247,886 23,420 84 2,951,373 278,259 109 35,085,654 3,307,711
10 1,154 185 35 22,406 2,182 60 273,742 25,856 85 3,258,594 307,221 110 38,737,661 3,652,007
11 1,358 204 36 24,815 2,409 61 302,288 28,546 86 3,597,792 339,198 111 42,769,801 4,032,140
12 1,584 226 37 27,473 2,658 62 333,804 31,516 87 3,972,294 374,502 112 47,221,641 4,451,840
13 1,833 249 38 30,408 2,935 63 368,599 34,795 88 4,385,776 413,482 113 52,136,869 4,915,228
14 2,107 274 39 33,648 3,240 64 407,015 38,416 89 4,842,295 456,519 114 57,563,718 5,426,849
15 2,411 304 40 37,224 3,576 65 449,428 42,413 90 5,346,332 504,037 115 63,555,443 5,991,725
16 2,746 335 41 41,171 3,947 66 496,254 46,826 91 5,902,831 556,499 116 70,170,840 6,615,397
17 3,115 369 42 45,529 4,358 67 547,953 51,699 92 6,517,253 614,422 117 77,474,828 7,303,988
18 3,523 408 43 50,339 4,810 68 605,032 57,079 93 7,195,629 678,376 118 85,539,082 8,064,254
19 3,973 450 44 55,649 5,310 69 668,051 63,019 94 7,944,614 748,985 119 94,442,737 8,903,655
20 4,470 497 45 61,512 5,863 70 737,627 69,576 95 8,771,558 826,944 120 104,273,167 9,830,430
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 1,210,421 114,143 100 14,391,160 1,356,729

The formula to calculate the amount of experience needed to reach level [math]\displaystyle{ L }[/math] is:

[math]\displaystyle{ \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:

[math]\displaystyle{ \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.


Melvor Idle version v1.3.1 (Released: 30th October 2024)
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Combat:
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Attack •
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Strength •
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Defence •
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Hitpoints •
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Ranged •
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Magic •
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Prayer •
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Slayer •
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Corruption
Skills:
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Farming •
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Township •
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Woodcutting •
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Fishing •
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Firemaking •
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Cooking •
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Mining •
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Smithing •
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Thieving •
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Fletching •
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Crafting •
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Runecrafting •
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Herblore •
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Agility •
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Summoning •
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Astrology •
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Alternative Magic •
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Cartography •
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Archaeology •
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Harvesting
Other:
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Beginners Guide • Guides •
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Bank •
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Combat •
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Mastery •
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Money Making •
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Shop • Easter Eggs • Pets •
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Golbin Raid •
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Full Version • Throne of the Herald • Atlas of Discovery •
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Into the Abyss
Reference Tables: Items, Equipment, Experience Table, Upgrading Items, Combat Areas, Slayer Areas, Dungeons, Strongholds, The Abyss, Monsters
Retrieved from "https://testwiki.melvoridle.com/index.php?title=Experience_Table&oldid=56846"