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Magic Hit Rate - Revision history
2026-07-05T11:45:51Z
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imported>Argisto: /* Simplification */ Math error. +20 magic accuracy needed to go from 40% to 50% hit rate. The remaining +20 takes you to 70% hit rate.
2024-11-25T07:00:57Z
<p><span class="autocomment">Simplification: </span> Math error. +20 magic accuracy needed to go from 40% to 50% hit rate. The remaining +20 takes you to 70% hit rate.</p>
<p><b>New page</b></p><div>{{disambiguation|Intelligence|Magic Accuracy|Magic Damage|Resist}}<br />
__NOToC__<br />
'''Magic Hit Rate''' is determined by the target's [[Magic Evasion]] and the caster's [[Magic Accuracy]], and represents the percentage of the time that a player can expect to land a spell unresisted. "Unresisted" should not be confused with "for full damage," as there are various other factors in the [[Magic Damage]] equation that can reduce the damage of unresisted nukes. This Magic Hit Rate indirectly determines the [[resist]] state distribution of spells.<br />
<br />
There has been significant Magic Hit Rate testing (see reference summary), but a specific equation has been elusive because it is impossible to absolutely determine a monster's [[Magic Evasion]]. Combining the testing available, it appears to work something like this:<br />
:'''dMAcc''' = Caster's [[Magic Accuracy]] - Target [[Magic Evasion]]<br />
:If dMAcc < 0, '''Magic Hit Rate''' = 50% + [[floor]]( dMAcc{{math|divide}}2 ){{math|divide}}100<br />
:If dMAcc {{math|ge}} 0, '''Magic Hit Rate''' = 50% + dMAcc{{math|divide}}100<br />
Magic Hit Rate, like normal [[hit rate]], is capped at 95%. The [[Magic Evasion]] = [[Magic Accuracy]] = 50% Magic Hit Rate point above is arbitrary and possibly not correct, but it simplifies the math the most.<br><br><br />
There is also likely a [[Level Difference Penalty|level correction]] included in Magic Hit Rate, though there has not been significant testing reported on it. We could guess it to be on the order of +4 [[Magic Evasion]] per dLVL, on top of the native [[Magic Evasion]] trait increase from leveling up.<br />
<br />
===Simplification===<br />
<onlyinclude>{{#ifeq:{{{transcludesection|Simplification}}}|Simplification|<br />
Your hit rate is simply your magic accuracy against the magic evasion of your foe. Magical hit rate caps at 95%. Meaning 5% of the time a player will otherwise be resisted.<br />
*If your magic hit rate is 50% or more then magic accuracy +1 is equivalent to hit rate +1%.<br />
*If your magic hit rate is less than 50% then magic accuracy +1 is equivalent to hit rate +0.5%.<br />
**Any Magic accuracy that raises you to the 50% mark then returns to being 1:1.<br />
***E.g. Your hit rate is 40% and you gain 40 magic accuracy. Your hit rate becomes 70%.<br />
However, the magic evasion of the foe is not actually simple. It is a factor of the foe's magic evasion stat, [[DINT|dINT]], the resistance tier of the corresponding element of the foe, and level correction where applicable.<br />
*Thus, there is no single magic accuracy number to cap hit rate for a foe as there would be a physical accuracy.<br />
}}</onlyinclude><br />
**See the Estimated Magic Accuracy Requirements table below.<br />
<br />
===dINT and Hit Rate===<br />
The table below is from the [[DINT|dINT]] page. This is for the purpose of tying that information together with an example. <br />
{{:Intelligence|transcludesection=dINT Table}}<br />
<onlyinclude>{{#ifeq:{{{transcludesection|dINT Example}}}|dINT Example|<br />
Once your dINT has been calculated to Magic Accuracy it affects your magic hit rate in the same way:<br />
<br />
Example: Your magic hit rate is 65%.<br />
*While dINT is +30, and you gain 19 INT.<br />
:*Your hit rate is now 69%. Nice.<br />
*While dINT is -38 and you gain 19 INT.<br />
:*Your hit rate is now 72%.<br />
<br />
Example: Your magic hit rate is 45%.<br />
*While dINT is -50 and you gain 20 INT.<br />
:*Your hit rate is now 47%.<br />
*While dINT is -10 and you gain 20 INT.<br />
:*Your hit rate is now 60%.<br />
}}</onlyinclude><br />
== Estimated Magic Accuracy to Cap Hit Rate ==<br />
The table below represents the magic accuracy required to cap your hit rate based on the elemental resistance value and level of the foe.<br />
<onlyinclude>{{#ifeq:{{{transcludesection|Table}}}|Table|{{{!}} style="width: 100%; max-width: 788px; text-align: center; color: #BDB5D5; background: #1B1212" cellpadding="2"<br />
! colspan="11" {{!}} Estimated Magic Accuracy Requirements<br />
{{!}}- style= "color: #E3DFEE; background: #756464; white-space: nowrap;"<br />
! style="background: #2D2828" {{!}} Level<br />
! 30%<br />
! 40%<br />
! 50%<br />
! 60%<br />
! 70%<br />
! 85%<br />
! 100%<br />
! 115%<br />
! 130%<br />
! 150%<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 124<br />
{{!}} 1,005<br />
{{!}} 892<br />
{{!}} 831<br />
{{!}} 814<br />
{{!}} 778<br />
{{!}} 756<br />
{{!}} 755<br />
{{!}} 753<br />
{{!}} 736<br />
{{!}} 729<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 125<br />
{{!}} 1,041<br />
{{!}} 925<br />
{{!}} 862<br />
{{!}} 843<br />
{{!}} 828<br />
{{!}} 784<br />
{{!}} 779<br />
{{!}} 775<br />
{{!}} 758<br />
{{!}} 750<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 126<br />
{{!}} 1,078<br />
{{!}} 958<br />
{{!}} 893<br />
{{!}} 872<br />
{{!}} 852<br />
{{!}} 812<br />
{{!}} 804<br />
{{!}} 797<br />
{{!}} 780<br />
{{!}} 772<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 127<br />
{{!}} 1,114<br />
{{!}} 991<br />
{{!}} 924<br />
{{!}} 901<br />
{{!}} 863<br />
{{!}} 840<br />
{{!}} 829<br />
{{!}} 818<br />
{{!}} 801<br />
{{!}} 793<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 128<br />
{{!}} 1,154<br />
{{!}} 1,024<br />
{{!}} 955<br />
{{!}} 930<br />
{{!}} 891<br />
{{!}} 868<br />
{{!}} 854<br />
{{!}} 840<br />
{{!}} 823<br />
{{!}} 814<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 129<br />
{{!}} 1,185<br />
{{!}} 1,057<br />
{{!}} 986<br />
{{!}} 959<br />
{{!}} 920<br />
{{!}} 896<br />
{{!}} 879<br />
{{!}} 862<br />
{{!}} 844<br />
{{!}} 835<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 130<br />
{{!}} 1,219<br />
{{!}} 1,090<br />
{{!}} 1,017<br />
{{!}} 988<br />
{{!}} 948<br />
{{!}} 924<br />
{{!}} 904<br />
{{!}} 883<br />
{{!}} 869<br />
{{!}} 856<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 131<br />
{{!}} 1,257<br />
{{!}} 1,123<br />
{{!}} 1,048<br />
{{!}} 1,017<br />
{{!}} 977<br />
{{!}} 952<br />
{{!}} 928<br />
{{!}} 905<br />
{{!}} 889<br />
{{!}} 878<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 132<br />
{{!}} 1,293<br />
{{!}} 1,156<br />
{{!}} 1,079<br />
{{!}} 1,046<br />
{{!}} 1,005<br />
{{!}} 980<br />
{{!}} 953<br />
{{!}} 926<br />
{{!}} 911<br />
{{!}} 899<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 133<br />
{{!}} 1,329<br />
{{!}} 1,189<br />
{{!}} 1,110<br />
{{!}} 1,075<br />
{{!}} 1,034<br />
{{!}} 1,008<br />
{{!}} 978<br />
{{!}} 948<br />
{{!}} 933<br />
{{!}} 920<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 134<br />
{{!}} 1,365<br />
{{!}} 1,222<br />
{{!}} 1,141<br />
{{!}} 1,104<br />
{{!}} 1,060<br />
{{!}} 1,036<br />
{{!}} 1,003<br />
{{!}} 970<br />
{{!}} 955<br />
{{!}} 941<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 135<br />
{{!}} 1,402<br />
{{!}} 1,255<br />
{{!}} 1,172<br />
{{!}} 1,133<br />
{{!}} 1,089<br />
{{!}} 1,064<br />
{{!}} 1,028<br />
{{!}} 991<br />
{{!}} 977<br />
{{!}} 962<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 136<br />
{{!}} 1,438<br />
{{!}} 1,288<br />
{{!}} 1,203<br />
{{!}} 1,162<br />
{{!}} 1,118<br />
{{!}} 1,092<br />
{{!}} 1,052<br />
{{!}} 1,013<br />
{{!}} 999<br />
{{!}} 984<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 137<br />
{{!}} 1,475<br />
{{!}} 1,321<br />
{{!}} 1,234<br />
{{!}} 1,191<br />
{{!}} 1,147<br />
{{!}} 1,120<br />
{{!}} 1,077<br />
{{!}} 1,034<br />
{{!}} 1,021<br />
{{!}} 1,005<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 138<br />
{{!}} 1,510<br />
{{!}} 1,354<br />
{{!}} 1,265<br />
{{!}} 1,220<br />
{{!}} 1,175<br />
{{!}} 1,148<br />
{{!}} 1,102<br />
{{!}} 1,056<br />
{{!}} 1,043<br />
{{!}} 1,026<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 139<br />
{{!}} 1,547<br />
{{!}} 1,387<br />
{{!}} 1,296<br />
{{!}} 1,249<br />
{{!}} 1,204<br />
{{!}} 1,176<br />
{{!}} 1,127<br />
{{!}} 1,078<br />
{{!}} 1,065<br />
{{!}} 1,047<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 140<br />
{{!}} 1,582<br />
{{!}} 1,420<br />
{{!}} 1,327<br />
{{!}} 1,278<br />
{{!}} 1,232<br />
{{!}} 1,204<br />
{{!}} 1,152<br />
{{!}} 1,099<br />
{{!}} 1,087<br />
{{!}} 1,068<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 141<br />
{{!}} 1,618<br />
{{!}} 1,453<br />
{{!}} 1,358<br />
{{!}} 1,307<br />
{{!}} 1,260<br />
{{!}} 1,232<br />
{{!}} 1,176<br />
{{!}} 1,121<br />
{{!}} 1,109<br />
{{!}} 1,090<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 142<br />
{{!}} 1,654<br />
{{!}} 1,486<br />
{{!}} 1,389<br />
{{!}} 1,336<br />
{{!}} 1,288<br />
{{!}} 1,260<br />
{{!}} 1,201<br />
{{!}} 1,142<br />
{{!}} 1,131<br />
{{!}} 1,111<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 143<br />
{{!}} 1,690<br />
{{!}} 1,519<br />
{{!}} 1,420<br />
{{!}} 1,365<br />
{{!}} 1,317<br />
{{!}} 1,288<br />
{{!}} 1,226<br />
{{!}} 1,164<br />
{{!}} 1,153<br />
{{!}} 1,132<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 144<br />
{{!}} 1,726<br />
{{!}} 1,552<br />
{{!}} 1,451<br />
{{!}} 1,394<br />
{{!}} 1,345<br />
{{!}} 1,316<br />
{{!}} 1,251<br />
{{!}} 1,186<br />
{{!}} 1,175<br />
{{!}} 1,153<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 145<br />
{{!}} 1,762<br />
{{!}} 1,585<br />
{{!}} 1,482<br />
{{!}} 1,423<br />
{{!}} 1,374<br />
{{!}} 1,344<br />
{{!}} 1,276<br />
{{!}} 1,207<br />
{{!}} 1,197<br />
{{!}} 1,174<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 146<br />
{{!}} 1,798<br />
{{!}} 1,618<br />
{{!}} 1,513<br />
{{!}} 1,452<br />
{{!}} 1,402<br />
{{!}} 1,372<br />
{{!}} 1,300<br />
{{!}} 1,229<br />
{{!}} 1,219<br />
{{!}} 1,196<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 147<br />
{{!}} 1,834<br />
{{!}} 1,651<br />
{{!}} 1,544<br />
{{!}} 1,481<br />
{{!}} 1,430<br />
{{!}} 1,400<br />
{{!}} 1,325<br />
{{!}} 1,250<br />
{{!}} 1,241<br />
{{!}} 1,217<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 148<br />
{{!}} 1,870<br />
{{!}} 1,684<br />
{{!}} 1,575<br />
{{!}} 1,510<br />
{{!}} 1,459<br />
{{!}} 1,428<br />
{{!}} 1,350<br />
{{!}} 1,272<br />
{{!}} 1,263<br />
{{!}} 1,238<br />
{{!}}- style= "color: #E3DFEE; background: #756464"<br />
! style="background: #2D2828" {{!}} 149<br />
{{!}} 1,906<br />
{{!}} 1,717<br />
{{!}} 1,606<br />
{{!}} 1,539<br />
{{!}} 1,487<br />
{{!}} 1,456<br />
{{!}} 1,375<br />
{{!}} 1,294<br />
{{!}} 1,285<br />
{{!}} 1,259<br />
{{!}}- style= "color: #E3DFEE; background: #A08D8D"<br />
! style="background: #2D2828" {{!}} 150<br />
{{!}} 1,943<br />
{{!}} 1,750<br />
{{!}} 1,637<br />
{{!}} 1,568<br />
{{!}} 1,515<br />
{{!}} 1,484<br />
{{!}} 1,400<br />
{{!}} 1,315<br />
{{!}} 1,307<br />
{{!}} 1,280<br />
{{!}}}<br />
<br />
*Values in the table are based off of: [https://sazitouhuu.blogspot.com/2020/06/blog-post_27.html].<br />
**Resistance Ranks are linear per level while the various ranks for that level are exponential increases as resistance increases.<br />
**Final table data is credited to Thefoxdanger.<br />
***There was not enough data collected for the 20% and 25% ranks, but it is safe to say the curve gets steep.<br />
***Keep in mind, the table is estimated values built off of another table of very well estimated values. Expect that you may possibly be off by ~10 magic accuracy at a given time.<br />
}}</onlyinclude><br />
<br />
== Related Links ==<br />
* [http://robonosto.blogspot.com/2008/12/on-magic-resist-rates.html Magic Hit Rate (CDF, Blogger)]<br />
*[http://lodeguy.blog69.fc2.com/blog-entry-410.html?sp Hit Rate Testing (Dachi, JP Blog)]<br />
*[https://luteff11.livedoor.blog/archives/49725347.html (Lute, JP Blog)]<br />
* [[Magic Evasion]]<br />
* [[Magic Accuracy]]<br />
* [[Resist]]<br />
[[Category:Game Mechanics]]</div>
imported>Argisto