Experience Table: Difference between revisions
(Combine level 1-99 & 100-120 tables, amend table classes & add note around maximum levels) |
(Added abyssal exp table) |
||
Line 2: | Line 2: | ||
<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. | ||
==Skill Exp Table== | |||
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. | 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="wikitable" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links --> | ||
Line 172: | Line 172: | ||
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. | ||
==Abyssal Exp Table== | |||
{{ItA}}[[Into the Abyss Expansion|Into the Abyss]] skills have a maximum abyssal skill level of 60. The maximum {{Icon|Mastery}} level is 99 and follows the Skill Exp Table above. | |||
{| class="wikitable" style="text-align:right;" id="abyssal_xp_table" <!-- this ID is an anchor for incoming links --> | |||
|- class="headerRow-0" | |||
! Level !! XP !! Difference | |||
! rowspan="26" | | |||
! Level !! XP !! Difference | |||
! rowspan="26" | | |||
! Level !! XP !! Difference | |||
! rowspan="26" | | |||
|- | |||
| 1 || 0 || 0 | |||
| 21 || 81408307 || 8903656 | |||
| 41 || 671272471 || 64513833 | |||
|- | |||
| 2 || 1356730 || 1356730 | |||
| 22 || 91238737 || 9830431 | |||
| 42 || 742501513 || 71229043 | |||
|- | |||
| 3 || 2854679 || 1497950 | |||
| 23 || 102092408 || 10853672 | |||
| 43 || 821144748 || 78643236 | |||
|- | |||
| 4 || 4508546 || 1653868 | |||
| 24 || 114075830 || 11983423 | |||
| 44 || 907973916 || 86829169 | |||
|- | |||
| 5 || 6334562 || 1826017 | |||
| 25 || 127306598 || 13230769 | |||
| 45 || 1003841086 || 95867171 | |||
|- | |||
| 6 || 8350643 || 2016082 | |||
| 26 || 141914547 || 14607950 | |||
| 46 || 1109687019 || 105845934 | |||
|- | |||
| 7 || 10576576 || 2225934 | |||
| 27 || 158043027 || 16128481 | |||
| 47 || 1226550401 || 116863383 | |||
|- | |||
| 8 || 13034202 || 2457627 | |||
| 28 || 175850310 || 17807284 | |||
| 48 || 1355578032 || 129027632 | |||
|- | |||
| 9 || 15747639 || 2713438 | |||
| 29 || 195511142 || 19660833 | |||
| 49 || 1498036083 || 142458052 | |||
|- | |||
| 10 || 18743513 || 2995875 | |||
| 30 || 217218456 || 21707315 | |||
| 50 || 1655322520 || 157286438 | |||
|- | |||
| 11 || 22051224 || 3307712 | |||
| 31 || 241185272 || 23966817 | |||
| 51 || 1828980822 || 173658303 | |||
|- | |||
| 12 || 25703231 || 3652008 | |||
| 32 || 267646779 || 26461508 | |||
| 52 || 2020715128 || 191734307 | |||
|- | |||
| 13 || 29735371 || 4032141 | |||
| 33 || 296862648 || 29215870 | |||
| 53 || 2232406962 || 211691835 | |||
|- | |||
| 14 || 34187211 || 4451841 | |||
| 34 || 329119579 || 32256932 | |||
| 54 || 2466133691 || 233726730 | |||
|- | |||
| 15 || 39102439 || 4915229 | |||
| 35 || 364734115 || 35614537 | |||
| 55 || 2724188919 || 258055229 | |||
|- | |||
| 16 || 44529288 || 5426850 | |||
| 36 || 404055749 || 39321635 | |||
| 56 || 3009104986 || 284916068 | |||
|- | |||
| 17 || 50521013 || 5991726 | |||
| 37 || 447470348 || 43414600 | |||
| 57 || 3323677825 || 314572840 | |||
|- | |||
| 18 || 57136410 || 6615398 | |||
| 38 || 495403949 || 47933602 | |||
| 58 || 3670994393 || 347316569 | |||
|- | |||
| 19 || 64440398 || 7303989 | |||
| 39 || 548326932 || 52922984 | |||
| 59 || 4054462971 || 383468579 | |||
|- | |||
| 20 || 72504652 || 8064255 | |||
| 40 || 606758639 || 58431708 | |||
| 60 || 4477846602 || 423383632 | |||
|} | |||
<!-- | |||
abyssalLevel = this.exp.levelToXP(level + this.levelOffset) - this.xpOffset; | |||
abyssalLevel = Skill XP Table(Abyssal Level + 98) - 13034431 (level 99) | |||
--> | |||
{{Menu}} | {{Menu}} |
Revision as of 13:29, 16 June 2024
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.
Skill Exp Table
The base game has a maximum skill and 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.
Abyssal Exp Table
Into the Abyss skills have a maximum abyssal skill level of 60. The maximum Mastery level is 99 and follows the Skill Exp Table above.
Level | XP | Difference | Level | XP | Difference | Level | XP | Difference | |||
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0 | 0 | 21 | 81408307 | 8903656 | 41 | 671272471 | 64513833 | |||
2 | 1356730 | 1356730 | 22 | 91238737 | 9830431 | 42 | 742501513 | 71229043 | |||
3 | 2854679 | 1497950 | 23 | 102092408 | 10853672 | 43 | 821144748 | 78643236 | |||
4 | 4508546 | 1653868 | 24 | 114075830 | 11983423 | 44 | 907973916 | 86829169 | |||
5 | 6334562 | 1826017 | 25 | 127306598 | 13230769 | 45 | 1003841086 | 95867171 | |||
6 | 8350643 | 2016082 | 26 | 141914547 | 14607950 | 46 | 1109687019 | 105845934 | |||
7 | 10576576 | 2225934 | 27 | 158043027 | 16128481 | 47 | 1226550401 | 116863383 | |||
8 | 13034202 | 2457627 | 28 | 175850310 | 17807284 | 48 | 1355578032 | 129027632 | |||
9 | 15747639 | 2713438 | 29 | 195511142 | 19660833 | 49 | 1498036083 | 142458052 | |||
10 | 18743513 | 2995875 | 30 | 217218456 | 21707315 | 50 | 1655322520 | 157286438 | |||
11 | 22051224 | 3307712 | 31 | 241185272 | 23966817 | 51 | 1828980822 | 173658303 | |||
12 | 25703231 | 3652008 | 32 | 267646779 | 26461508 | 52 | 2020715128 | 191734307 | |||
13 | 29735371 | 4032141 | 33 | 296862648 | 29215870 | 53 | 2232406962 | 211691835 | |||
14 | 34187211 | 4451841 | 34 | 329119579 | 32256932 | 54 | 2466133691 | 233726730 | |||
15 | 39102439 | 4915229 | 35 | 364734115 | 35614537 | 55 | 2724188919 | 258055229 | |||
16 | 44529288 | 5426850 | 36 | 404055749 | 39321635 | 56 | 3009104986 | 284916068 | |||
17 | 50521013 | 5991726 | 37 | 447470348 | 43414600 | 57 | 3323677825 | 314572840 | |||
18 | 57136410 | 6615398 | 38 | 495403949 | 47933602 | 58 | 3670994393 | 347316569 | |||
19 | 64440398 | 7303989 | 39 | 548326932 | 52922984 | 59 | 4054462971 | 383468579 | |||
20 | 72504652 | 8064255 | 40 | 606758639 | 58431708 | 60 | 4477846602 | 423383632 |
Melvor Idle version v1.3 (Released: 13th June 2024) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ||||||||||||||||||||
Skills:
| ||||||||||||||||||||
Other:
| ||||||||||||||||||||
Reference Tables: Items, Equipment, Experience Table, Upgrading Items, Combat Areas, Slayer Areas, Dungeons, Strongholds, The Abyss, Monsters |