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(Fixed abyssal level formula) Tag: visualeditor |
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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 ({{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. | |||
==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. | |||
{| 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 | ||
| | | 100 || 14,391,160 || 1,356,729 | ||
|} | |} | ||
</onlyinclude> | |||
The formula to calculate the amount of experience needed to reach level <math display='inline'>L</math> is: | |||
:<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: | |||
:<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. | |||
==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 || 81,408,306 || 8,903,655 | |||
| 41 || 671,272,470 || 64,513,832 | |||
|- | |||
| 2 || 1,356,729 || 1,356,729 | |||
| 22 || 91,238,736 || 9,830,430 | |||
| 42 || 742,501,512 || 71,229,042 | |||
|- | |||
| 3 || 2,854,678 || 1,497,949 | |||
| 23 || 102,092,407 || 10,853,671 | |||
| 43 || 821,144,747 || 78,643,235 | |||
|- | |||
| 4 || 4,508,545 || 1,653,867 | |||
| 24 || 114,075,829 || 11,983,422 | |||
| 44 || 907,973,915 || 86,829,168 | |||
|- | |||
| 5 || 6,334,561 || 1,826,016 | |||
| 25 || 127,306,597 || 13,230,768 | |||
| 45 || 1,003,841,085 || 95,867,170 | |||
|- | |||
| 6 || 8,350,642 || 2,016,081 | |||
| 26 || 141,914,546 || 14,607,949 | |||
| 46 || 1,109,687,018 || 105,845,933 | |||
|- | |||
| 7 || 10,576,575 || 2,225,933 | |||
| 27 || 158,043,026 || 16,128,480 | |||
| 47 || 1,226,550,400 || 116,863,382 | |||
|- | |||
| 8 || 13,034,201 || 2,457,626 | |||
| 28 || 175,850,309 || 17,807,283 | |||
| 48 || 1,355,578,031 || 129,027,631 | |||
|- | |||
| 9 || 15,747,638 || 2,713,437 | |||
| 29 || 195,511,141 || 19,660,832 | |||
| 49 || 1,498,036,082 || 142,458,051 | |||
|- | |||
| 10 || 18,743,512 || 2,995,874 | |||
| 30 || 217,218,455 || 21,707,314 | |||
| 50 || 1,655,322,519 || 157,286,437 | |||
|- | |||
| 11 || 22,051,223 || 3,307,711 | |||
| 31 || 241,185,271 || 23,966,816 | |||
| 51 || 1,828,980,821 || 173,658,302 | |||
|- | |||
| 12 || 25,703,230 || 3,652,007 | |||
| 32 || 267,646,778 || 26,461,507 | |||
| 52 || 2,020,715,127 || 191,734,306 | |||
|- | |||
| 13 || 29,735,370 || 4,032,140 | |||
| 33 || 296,862,647 || 29,215,869 | |||
| 53 || 2,232,406,961 || 211,691,834 | |||
|- | |||
| 14 || 34,187,210 || 4,451,840 | |||
| 34 || 329,119,578 || 32,256,931 | |||
| 54 || 2,466,133,690 || 233,726,729 | |||
|- | |||
| 15 || 39,102,438 || 4,915,228 | |||
| 35 || 364,734,114 || 35,614,536 | |||
| 55 || 2,724,188,918 || 258,055,228 | |||
|- | |||
| 16 || 44,529,287 || 5,426,849 | |||
| 36 || 404,055,748 || 39,321,634 | |||
| 56 || 3,009,104,985 || 284,916,067 | |||
|- | |||
| 17 || 50,521,012 || 5,991,725 | |||
| 37 || 447,470,347 || 43,414,599 | |||
| 57 || 3,323,677,824 || 314,572,839 | |||
|- | |||
| 18 || 57,136,409 || 6,615,397 | |||
| 38 || 495,403,948 || 47,933,601 | |||
| 58 || 3,670,994,392 || 347,316,568 | |||
|- | |||
| 19 || 64,440,397 || 7,303,988 | |||
| 39 || 548,326,931 || 52,922,983 | |||
| 59 || 4,054,462,970 || 383,468,578 | |||
|- | |||
| 20 || 72,504,651 || 8,064,254 | |||
| 40 || 606,758,638 || 58,431,707 | |||
| 60 || 4,477,846,601 || 423,383,631 | |||
|} | |||
The formula to calculate the amount of experience needed to reach level <math display='inline'>L</math> is: | |||
:<math>\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=99}^{L + 97}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor</math> | |||
This is essentially the same as the formula for the regular experience table, except that Abyssal level 1 equals regular level 98. | |||
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