Miyu's Magical Adventures Mage Guide/ru: Difference between revisions

<h3><span class="mw-headline" id="Traits" style="font-size: 1.5rem;">Purchasing Spell Books 📖</span></h3>

   <li>You can purchase spell books at the [[https://wiki.muhro.eu/Main_Office|m MainOffice.]] from the Magician Dealer NPC {{#navi:main_office|63|59}}.</li>

   <li>Each Spell Book has a cost, dependent on the level/Tier of the Spell Book.</li>

<p><i>Did you know flee's are useless against mages?</i></p>

<h3><span class="mw-headline" id="Magic_Defense" style="font-size: 1.5rem;">Magic Defense 🔰</span></h3>

   <li>The total magical defense that is factored upon magic damage, which is generally based on MATK as a whole or partially. However, there are exceptions.</li>

   <li>To obtain the final damage, apply Hard MDEF first and then apply Soft MDEF.</li>

<h3><span class="mw-headline" id="Soft_Magic_Defense" style="font-size: 1.5rem;">Soft Magic Defense 🔰</span></h3>

   <li>Soft magic defense, also known as "INT" magic defense, reduces incoming magic damage directly.</li>

   <li><b>BonusA</b> is the sum of additive bonuses.</li>

   <li><b>BonusB</b> is the sum of multiplicative bonuses.</li>

   <li>Monsters use a different SoftMDEF formula.</li>

<h3><span class="mw-headline" id="Hard_Magic_Defense" style="font-size: 1.5rem;">Hard Magic Defense 🔰</span></h3>

   <li>Hard magic defense, also known as "armor" or "equipment" magic defense, reduces incoming magic damage multiplicatively.</li>

   <li>Hard magic defense has a base value of 0, and is increased by equipment, some skills, and items.</li>

   <li><b>Damage after Hard MDEF</b> = <code>Damage × [(1000 + HardMDEF) ÷ (1000 + HardMDEF × 10)]</code></li>

⚠️ This indicates that as Hard MDEF increases, the percentage of magic damage reduced also increases, but with diminishing returns. For example: </br>

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🔮 20 Hard MDEF provides approximately 15% damage reduction. </br>

🔮 40 Hard MDEF provides approximately 25% damage reduction. </br>

🔮 125 Hard MDEF provides approximately 50% damage reduction. </br>

<b>(It is shown as </b><span style="color:Red;">A</span><b> + </b><span style="color:Blue;">B</span><b> in the Status Window, where </b><span style="color:Red;">A</span><b> represents the </b><span style="color:Red;">Soft Mdef</span><b> and </b><span style="color:Blue;">B</span><b> represents the </b><span style="color:Blue;">Hard Mdef</span><b>.)</b>

   <li>The Magical Defense (MDEF) system was revamped in the Renewal  

   Update. HardDEF/MDEF is no longer limited into a 1-100 point system,  

   with 100 being full immunity. Instead, the effect of HardMDEF is now

   reduced exponentially as the number goes up (i.e. the higher the number,

   the less effect every single point adds);</li>

   <li>SoftDEF/MDEF, which is mostly based on VIT and INT respectively,  

   did not go through a lot of change from Pre-Renewal. They reduce damage

   subtractively, removing flat amounts from the final damage after the

   HardDEF/MDEF reductions are applied.</li>

<b>(While introducing the 4th job trait/status seen as </b><span style="color:Green;">C</span><b> in the lower Status Window as </b><span style="color:Green;">Mres</span><b> </b>

<h3><span class="mw-headline" id="Magic_Resistance" style="font-size: 1.5rem;">Magic Resistance 🔰(MRES)</span></h3>

   <li>Magic Resistance (MRES) is a defensive stat that reduces incoming magic damage multiplicatively.</li>

   <li>MRES is primarily increased through equipment, buffs, skills, and certain consumable items.</li>

   <li><b>Formula:</b> The final damage reduction is calculated as:

   <li>Similar to Hard MDEF, MRES provides significant reductions as it increases, but its effectiveness diminishes at higher values due to diminishing returns.</li>

<span style="color:Brown;">The Effectiveness amount is at <b>50%</b></span>

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<h3><span class="mw-headline" id="Magic_Resistance_Penetration" style="font-size: 1.5rem;">MRES Penetration 🎯</span></h3>

   <li>MRES Penetration is an offensive stat that reduces the target's Magic Resistance (MRES), allowing for higher magic damage output.</li>

   <li>This stat is crucial for magic classes, such as Arch Mage, to deal consistent damage against high-MRES targets like bosses or heavily geared players.</li>

   <li><b>Formula:</b> The effective MRES after penetration is calculated as:

   <li>MRES Penetration can be obtained through equipment effects, enchantments, and certain skills.</li>

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<span style="color:Brown;">The bypass amount is capped at <b>50%</b>, and Magic Resist Penetration effects cannot exceed this limit..</span>

<u>Example (1): Cardinal's skill {{#skill:5271}} provides 25% bypass.</u><br>

<u>Example (2): Master Shadow gears like {{#item:24800}} also provides 20% bypass, when worn completely with the entire set.</u> <br>

<h3><span class="mw-headline" id="Magic_Resistance_Penetration" style="font-size: 1.5em;">MDEF Penetration 🎯</span></h3>

     MDEF (Magic Defense) is a significant barrier for Magic classes in Ragnarok Online, as it reduces the damage dealt by magic attacks. For years, Magic classes struggled because MDEF made it difficult to deal high damage to enemies with strong defense. However, recent updates have introduced various gear and abilities that help bypass or reduce MDEF, allowing Magic classes to deal more damage. With the right setup, you can achieve up to 100% MDEF bypass.

     The formula for calculating the final MDEF after accounting for reductions and bypass percentages is as follows:

     <b>Final MDEF =</b> (Total_Mdef - Sum_MdefReduceValues) × (1 − Sum_MdefBypassPercent ÷ 100)

     <li><b>Total_Mdef</b> = The total Hard MDEF value displayed in the Status Window.</li>

     <li><b>Sum_MdefReduceValues</b> = The sum of all flat MDEF reductions applied to the enemy, such as the effects of skills like Odin Power.</li>

     <li><b>Sum_MdefBypassPercent</b> = The sum of all percentage-based MDEF bypass effects, such as those from skills like Expiatio or equipment bonuses.</li>

     To better understand this, consider the following example: Suppose a player has the following:

     <li>25% MDEF Bypass from '''{{#skill:2053}}''' (a skill buff).</li>

     <li>20% MDEF Bypass from {{#item:24667}} & {{#item:24665}}.</li>

     <li><p>'''{{#skill:2537}}''' '''Odin power [ Level 2 ] ''', which reduces MDEF by 40.</li>

     The enemy has 100 Hard MDEF. To calculate the final MDEF, we apply the formula:

     <b>Final MDEF = (100 - 40) × (1 − (25 + 20) ÷ 100)</b>

     This means the enemy's MDEF will be reduced by the flat 40 MDEF from '''{{#skill:2537}}''' '''Odin power''', and then further reduced by 45% due to the MDEF bypass effects. The resulting value will determine how much of the magic damage actually goes through the enemy’s defense.

     It may seem a bit complex at first, but the key takeaway is this: MDEF bypass allows a portion of your magic damage to go through without being reduced by the enemy’s defense. The higher the MDEF bypass percentage, the less damage is blocked by MDEF, and the more effective your magic attacks become.

<pre style="font-size: 1.3em;">At 100% Full MDEF Bypass: All of your magic damage will bypass the enemy’s MDEF, dealing full damage without any reduction.</pre>

<ul style="font-size: 1.3em;"> <li>MDEF Penetration can also be obtained through equipment effects, enchantments, and certain skills.</li> </ul>

<u>Example (1): Blue Shadow gears like {{#item:24667}} provides 100% bypass, when worn completely with another pair like {{#item:24666}}.</u> <br>

<h2><span class="mw-headline" id="About_Arch_Mage"><span style="color:rgb(153,73,0); font-family: sans-serif; text-shadow: 1px 1px 2px black; font-size: 2rem">Modifier stacking</span></span></h2>

<p><i>To spread and not to stack, got it!</i></p>

<h3><span id="How_Does_Diminishing_Return_Work_in_Ragnarok_Online.3F"></span><span class="mw-headline" id="How_Does_Diminishing_Return_Work_in_Ragnarok_Online?" style="font-size: 1.6em;">How Does Diminishing Return Work in Ragnarok Online? 🔎</span></h3>

     <li>The law of diminishing marginal returns states that, at some point, adding more of a particular input (such as stat points or resources) will result in progressively smaller increases in output (such as damage or effectiveness).</li>

<pre style="font-size: 1.2em;">In simpler terms: "Too much of something can be counterproductive, leading to higher costs and reduced effectiveness."</pre>

     <dd>This concept becomes clear when applied to Ragnarok Online, where the following examples are commonly experienced by all players:</dd>

<p style="font-size: 1.2em;"><b>Raising Stats (Str, Agi, Vit, Int, Dex, Luk)</b></p>

     <li>Raising a stat from 1-10 (<b>Output</b>) costs <b><span style="color:Green;">2</span></b> points (<b>Factor of Production</b>).</li>

     <li>Raising a stat from 81-90 (<b>Output</b>) costs <b><span style="color:Orange;">10</span></b> points (<b>Factor of Production</b>).</li>

     <li>Raising a stat from 126-130 (<b>Output</b>) costs <b><span style="color:Red;">36</span></b> points (<b>Factor of Production</b>).</li>

<p style="font-size: 1.2em;">As you continue to raise the same stat, you will need to allocate more and more points (factor of production) to gain just one more point in the stat (output). This is a clear example of how diminishing returns work in Ragnarok Online.</p>

     <li>Whether 1 additional point in the 126-130 range is more valuable than 1 point in the 1-10 range depends on your individual goals. However, if you decide to invest in gear that boosts another stat, that's also a viable option.</li>

<h3 style="font-size: 1.6em;"><span class="mw-headline" id="Stacking_Modifiers">Stacking Modifiers 📐</span></h3>

<pre style="font-size: 1.2em;">Modifiers in the game come in several types: (Race, Size, Element Property, Boss, Normal, Skill)</pre>

     <li><b><span style="color:Brown;">General Rule of Thumb:</span></b></li>

<p style="font-size: 1.2em;">It is better to distribute modifiers across different types rather than stacking multiple copies of the same modifier. "Diminishing returns" sets in once you apply multiple instances of the same modifier.</p>

<p style="font-size: 1.2em;"><b>Although it's possible to exceed 100% for a single modifier, this is only effective if the modifiers are balanced with other types.</b></p>

<pre style="font-size: 1.2em;">(Example: 120% Neutral Property + 50% Medium + 30% Boss) is more effective than (Example: 200% Neutral Property + 10% Medium + 10% Boss)</pre>

<h3 style="font-size: 1.6em;"><span class="mw-headline" id="Modifier_Good_and_Bad-o-meter">Modifier Effectiveness Meter 📏</span></h3>

<p style="font-size: 1.2em;">▶ In late-game, it’s common to achieve high percentages for modifiers (e.g., 200% or more) due to new cards and equipment introduced in updates. <br><b><span style="color:Brown;">However, to maximize damage, it's important to balance modifiers across different types.</span></b></p>

<p style="font-size: 1.2em;">▶ Stacking the same modifier type excessively leads to reduced overall efficiency, as modifiers of the same type are additive, while different types are multiplicative.</p>

     <li>Raising a Racial Modifier in this manner: <b><span style="color:green;">100%</span></b> → <b><span style="color:blue;">200%</span></b> → <b><span style="color:orange;">300%</span></b> → <b><span style="color:red;">400%</span></b> → <b><span style="color:indigo;">500%</span></b>+</li>

     <li>Raising an Elemental Modifier in this manner: <b><span style="color:green;">100%</span></b> → <b><span style="color:blue;">200%</span></b> → <b><span style="color:orange;">300%</span></b> → <b><span style="color:red;">400%</span></b> → <b><span style="color:indigo;">500%</span></b>+</li>

     <li>Raising a Size Modifier in this manner: <b><span style="color:green;">100%</span></b> → <b><span style="color:blue;">200%</span></b> → <b><span style="color:orange;">300%</span></b> → <b><span style="color:red;">400%</span></b> → <b><span style="color:indigo;">500%</span></b>+</li>

     <li>Raising a Special Modifier in this manner: <b><span style="color:green;">100%</span></b> → <b><span style="color:blue;">200%</span></b> → <b><span style="color:orange;">300%</span></b> → <b><span style="color:red;">400%</span></b> → <b><span style="color:indigo;">500%</span></b>+</li>

     <li>Raising a Skill Modifier in this manner: <b><span style="color:green;">100%</span></b> → <b><span style="color:blue;">200%</span></b> → <b><span style="color:orange;">300%</span></b> → <b><span style="color:red;">400%</span></b> → <b><span style="color:indigo;">500%</span></b>+</li>

Efficiency tiers for stacking modifiers:

⬤ Balanced distribution: <b><span style="color:green;">Good</span></b> </br>

⬤ Minor imbalance: <b><span style="color:blue;">Okay</span></b> </br>

⬤ Heavy stacking of one type: <b><span style="color:orange;">Bad</span></b> </br>

⬤ Extreme stacking: <b><span style="color:red;">Worst</span></b> </br>

⬤ Neglecting other types: <b><span style="color:indigo;">Futile💀</span></b> </br>

⚠️Key Tip: Always aim for a balanced approach by distributing modifiers evenly across Race, Element, Size, Special, and Skill types to maximize total damage.

<p style="font-size: 1.4em;"><b>Modifier Types:</b></p>

<b><span style="color:Fuchsia;">Matk%</span></b>: (General Magic)<br>

<b><span style="color:red;">Race%</span></b>: (Angel, Demon, Dragon, Fish, etc.)<br>

<b><span style="color:blue;">Element%</span></b>: (Wind, Fire, Water, earth, etc.)<br>

<b><span style="color:indigo;">Size%</span></b>: (Small, Medium, Large)<br>

<b><span style="color:green;">Special%</span></b>: (Anything else that isn't Matk/Race/Element/Size/skill)<br>

<b><span style="color:Orange;">Skill%</span></b>: (Comet, Soul Expansion, etc.) <b>Skill Modifiers are treated as "<span style="color:Brown;">Final</span>" Modifiers.</b><br>

<b><span style="color:Brown;">Modifiers of the same type are additive, while modifiers of different types are multiplicative.</b></p>

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<p style="font-size: 1.2em;">To determine the total damage increase from your card combo, follow this formula:</p>

<b>Final Damage = <span style="color:Fuchsia;">(1 + MATK%)</span> ×  

<pre style="font-size: 1.2em;">(1 + MATK%) × (1 + Race Modifier) × (1 + Element Modifier) × (1 + Size Modifier) × (1 + Special Modifier) × Skill Modifiers</pre>

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