[Guide] Flameburst and its Math
Posted: Sat Mar 05, 2011 4:07 am
Flameburst is a great skill, good for field control while outputting damage to the enemy.
However, many have often wonder how does the damage calculation stack up? Well, look no further, here is the complete break down on the Flameburst damage calculation.
First thing is to look at the overall damage formula:
Base Damage + Alchemy ES Damage + Max ES Damage + Mastery Bonus = Final Damage.
That's really simple, but that's the overall picture, now we will have to break it down into smaller pieces. And there's a reason I choose this method of calculation, because it is easier to point out some important things!
Base Damage = { [(Skill Damage x Charge) x Critical Multiplier x (1 + Cylinder Efficiency) ] - Enemy Defense } x (100% -Enemy Protection)
Skill Damage is determined by your rank, at rank 1 Flameburst you will have 42 max damage.
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Defense is defense of the monster/target.
Enemy Protection is the protection of the monster/target.
Alchemy ES Damage = [(Fire Damage Enchant/Upgrade x Charge Count) x Critical Multiplier x (1 + Cylinder Efficiency)] x (100% -Enemy Protection)
Fire Damage Enchant/Upgrade is the value of all the fire alchemy enchant, +fire damage upgrade on cylinder/title you get. (e.g. Explode ES +5 fire damage)
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Protection is the protection of the monster/target.
Max ES Damage = [Max Damage Enchant x Critical Multiplier x (1 + Cylinder Efficiency)] x (100% -Enemy Protection)
Max Damage Enchant is the value of all the pure damage enchant you are wearing. (e.g. Fox ES +4 damage)
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Protection is the protection of the monster/target.
Mastery Bonus = (Master Multiplier x Charge Count) x (1 + Cylinder Efficiency)
Master Multiplier is the bonus from Alchemy Mastery and Fire Elemental Mastery and Fire Elemental Master Title which needs to be calculated, see below for how to calc it.
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Master Multiplier = [(10 x 100) x (Alchemy Mastery Bonus + Fire Alchemy Bonus + Fire Alchemy Master Title)]/15
Alchemy Mastery Bonus is 1% per rank, 15% at rank 1
Fire Alchemy Bonus is 10% at rank 1.
Fire Alchemy Master is 10% of Fire Alchemy Bonus, which is 1%.
Now, that's all the pieces we need to calculate the final output. But wait! There are things that needs to be pointed out!!
If you are quick, you probably already see that both Fire Alchemy ES/Upgrade and Max Damage ES ignores the enemy defense. In addition, Fire Alchemy ES/Upgrade will get the charge bonus, so it is preferred over Max Damage ES.
Next, if you look at the pieces, you will see that Cylinder Efficiency effects everything, so using a "proper" cylinder is important.
Finally, there's the issue regarding Fire Alchemy Master Title. If one look closely at the calculation you would notice that the title bonus says 10% increase in efficiency. Many have thought that it is a title will give you 10% damage overall, that is WRONG. It has been proven that it is 10% of the Fire Alchemy Mastery Bonus, which results to be 1%. Many have thought that it is a title give you 1% damage over all, that is also WRONG.
As in the formula it clearly shows that the fire alchemy mastery title simple increase the Master Multiplier by a fixed value, which results in a general output of 1 damage increase or 5 damage if it is a 5 charged blast. Not only that, the damage does not get critical hit multiplier which makes the title even less significant compare to Alchemy Master/Royal Alchemist/Chain Cylinder Master title. The one plus side however though is that the Mastery Bonus damage ignores both enemy defense and protection.
That's all about the.... Wait! You forgot about Cressidia Set Bonus! That's right, what about Cressidia? To add the 15% bonus of Cressidia is easy, simply increase the Final Damage you obtain from the formula and increase 15% and that's the bonus from Cressidia. That's right, Cressidia does indeed give 15% damage bonus overall for Flameburst.
Finally, what about S/R upgrades? S upgrade will increase the "Fire Damage" of the cylinder while R upgrade will increase the "Critical Multiplier", it is just that simple.
To conclude the topic, HERE is the link to an Excel File Sheet that will calculate your max damage for Flameburst. I was gonna do a JavaScript, but I am too lazy and Maginobi is not ready to go online yet. This calculation has been through many testing and if you like to test out the accuracy of the formula, feel free to use the barrier wall in Provocation (0 defense/0 protection) and compare the result with the calculator.
However, many have often wonder how does the damage calculation stack up? Well, look no further, here is the complete break down on the Flameburst damage calculation.
First thing is to look at the overall damage formula:
Base Damage + Alchemy ES Damage + Max ES Damage + Mastery Bonus = Final Damage.
That's really simple, but that's the overall picture, now we will have to break it down into smaller pieces. And there's a reason I choose this method of calculation, because it is easier to point out some important things!
Base Damage = { [(Skill Damage x Charge) x Critical Multiplier x (1 + Cylinder Efficiency) ] - Enemy Defense } x (100% -Enemy Protection)
Skill Damage is determined by your rank, at rank 1 Flameburst you will have 42 max damage.
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Defense is defense of the monster/target.
Enemy Protection is the protection of the monster/target.
Alchemy ES Damage = [(Fire Damage Enchant/Upgrade x Charge Count) x Critical Multiplier x (1 + Cylinder Efficiency)] x (100% -Enemy Protection)
Fire Damage Enchant/Upgrade is the value of all the fire alchemy enchant, +fire damage upgrade on cylinder/title you get. (e.g. Explode ES +5 fire damage)
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Protection is the protection of the monster/target.
Max ES Damage = [Max Damage Enchant x Critical Multiplier x (1 + Cylinder Efficiency)] x (100% -Enemy Protection)
Max Damage Enchant is the value of all the pure damage enchant you are wearing. (e.g. Fox ES +4 damage)
Critical Multiplier is determined by whether if is a critical hit or not, if is not then it is 100%, if it is a critical hit it is 100% + bonus% of Critical Hit Rank (150% at r1).
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Enemy Protection is the protection of the monster/target.
Mastery Bonus = (Master Multiplier x Charge Count) x (1 + Cylinder Efficiency)
Master Multiplier is the bonus from Alchemy Mastery and Fire Elemental Mastery and Fire Elemental Master Title which needs to be calculated, see below for how to calc it.
Charge is the charge count, maximum is 5, there is no bonus multiplier for a full 5 charge.
Cylinder Efficiency is determine by what cylinder you use, normal cylinder have 0%, fire have 15%, volcano have 30%.
Master Multiplier = [(10 x 100) x (Alchemy Mastery Bonus + Fire Alchemy Bonus + Fire Alchemy Master Title)]/15
Alchemy Mastery Bonus is 1% per rank, 15% at rank 1
Fire Alchemy Bonus is 10% at rank 1.
Fire Alchemy Master is 10% of Fire Alchemy Bonus, which is 1%.
Now, that's all the pieces we need to calculate the final output. But wait! There are things that needs to be pointed out!!
If you are quick, you probably already see that both Fire Alchemy ES/Upgrade and Max Damage ES ignores the enemy defense. In addition, Fire Alchemy ES/Upgrade will get the charge bonus, so it is preferred over Max Damage ES.
Next, if you look at the pieces, you will see that Cylinder Efficiency effects everything, so using a "proper" cylinder is important.
Finally, there's the issue regarding Fire Alchemy Master Title. If one look closely at the calculation you would notice that the title bonus says 10% increase in efficiency. Many have thought that it is a title will give you 10% damage overall, that is WRONG. It has been proven that it is 10% of the Fire Alchemy Mastery Bonus, which results to be 1%. Many have thought that it is a title give you 1% damage over all, that is also WRONG.
As in the formula it clearly shows that the fire alchemy mastery title simple increase the Master Multiplier by a fixed value, which results in a general output of 1 damage increase or 5 damage if it is a 5 charged blast. Not only that, the damage does not get critical hit multiplier which makes the title even less significant compare to Alchemy Master/Royal Alchemist/Chain Cylinder Master title. The one plus side however though is that the Mastery Bonus damage ignores both enemy defense and protection.
That's all about the.... Wait! You forgot about Cressidia Set Bonus! That's right, what about Cressidia? To add the 15% bonus of Cressidia is easy, simply increase the Final Damage you obtain from the formula and increase 15% and that's the bonus from Cressidia. That's right, Cressidia does indeed give 15% damage bonus overall for Flameburst.
Finally, what about S/R upgrades? S upgrade will increase the "Fire Damage" of the cylinder while R upgrade will increase the "Critical Multiplier", it is just that simple.
To conclude the topic, HERE is the link to an Excel File Sheet that will calculate your max damage for Flameburst. I was gonna do a JavaScript, but I am too lazy and Maginobi is not ready to go online yet. This calculation has been through many testing and if you like to test out the accuracy of the formula, feel free to use the barrier wall in Provocation (0 defense/0 protection) and compare the result with the calculator.