Hello fellow min-maxers! I have noticed that this question has been asked several times before. The answer that has been given to this question is either "The rule of thumb for NL's is 5 LUK=w.atk seems to be allright in most cases" or "It's a multivariable equation that cannot simply be answered by stating some arbitrary number." I was curious to find out and after accepting I was not going to be able to sleep last night, I set myself to figure it out and come up with a formula that would be relatively easy to use. Possibly someone capable can make an easy application. I know that there are some out there already but every single one I have stumbled upon in the past either did not work, or was not accurate when checking against my own stats. This should be quite useful to those debating if they are wondering if it is worth to lose Stats and gain W.Atk and possibly spend billions of meso if buying that new piece of gear. Before going on a long tangent, here are two formulas. You'd need to plug in your own numbers. Below the generalised forumal's you can find simplified formulas for Sword/Dagger/Claw/Bow/Crossbow/Gun/Knuckle - Assuming you have maxed out all sources of mastery. All maths are listed further below. Also, 1 INT =/= 1 Matk Side note: When I was writing all of this I had been playing OSRS a lot. In OSRS the difference between Stab, Slash, Crush are revered to as Combat Styles and it felt natural to call these Attack Styles for this game. To clearify, when speaking of Attack Styles, I mean Axe(Slash/Stab), BW(Slash/Stab), Spear(Slash/Stab) or PA(Slash/Stab). Would be great if someone could confirm what the ratio's are. I have heared 2:3, 4:5, Spear/PA = 60 Slash, 40 Stab (and more). If you know, please lmk. --------------------------------------------------------------------------------------------------------------------------------------- Formula for Weapons that are not affected by Attack Styles - Sword/Dagger/Claw/Bow/Crossbow/Gun/Knuckle/(practical)Spear/(practical)Polearm S=(2pmX+ma+a)/(2pmY) Formula for Weapon that are affected by Attack Styles - Axe/BW/Wand/Staff/Spear/Polearm S=(2prmX+rma+pa)/(2prmY) S = How many Primary Stat Points need to be increased for the same increase in Damage as gaining 1 w.atk does X = Primary Stat Y = W.Atk p = High Primary Stat Multiplier r = Low Primary Stat Multiplier - only applies for weapon affected by Weapon Styles m = Mastery * 0.9 a = Secondary Stat All variables are based on your current total stats Secondary Stat Calculations Spoiler c = (pX(m+1)+2a)/2Y c = Total increase of Secondary Stat required to increase Average Damage Range equal to the increase with 1 W.Atk. Spoiler For now, the following formulas are working correctly for my stats. (b) is a multiplier of your current secondary stat. (instead of a flat amount like (S)) b1 = (1/aY)(pX+a(Y+1)) b2 = (1/aY)(pmX+a(Y+1)) b3 = (1/2aY)(pX(m+1)+2a(Y+1)) c = b - 1 ac = (pX(m+1)+2a)/2Y a * c = total increase of secondary stat to increase average Damage Range equal to the increase with 1 W.Atk. Ex. My DK gains an equal increase of Average Damage Range when adding: 1 W.Atk 7.0145 STR 30.134 DEX --------------------------------------------------------------------------------------------------------------------------------------- The most usefull application of this is to evaluate the total stats gained from a new piece of gear. You can do that with the following formula. How many Primary and Secondary Stats equal (n) W.Atk Spoiler S = gained Primary Stat c = gained Secondary Stat n=Y((pS(m+1)+2c)/(pX(m+1)+2a)) Adding W.Atk Potions to the calculations showes a very significant difference. I highly advice to add +60 for Stoppers or +100 for Apples. Maple Warrior has not as a significant impact but still a noticable difference. Example with the current stats of my DK: Spoiler Clean S=7.0145 Stoppers S=5.0120 Apples S=4.2199 Apples+mw20 S=4.5784 --------------------------------------------------------------------------------------------------------------------------------------- (p), (r), (m) are constants. Assuming you have maxed out your Mastery Skills we can easily replace these values with listed constants. However due to missing information on chance of Attack Styles it's only possible to give a correct formula for weapons unaffected by those. S = How much Primary Stat yields same damage increase as 1 watk c = How much Secondary Stat yields same damage increase as 1 watk n = How much Primary + Secondary Stat yield the same damage increase as n watk How much Secondary Stat equals same Damage increase as 1 Primary Stat is constant, depending only on weapon used considering all sources of Mastery are maxed out. From @fuzzything44 Sword Spoiler 1h S=(4.32 * STR + 1.54 * DEX )/(4.32 * Atk) c=(6.16 * STR + 2 * DEX)/(2 * Atk) n=((4.32 * S + 2 * a)/(4.32 * STR + 2 * DEX)) * Atk 2h S=(4.968 * STR + 1.54 * DEX )/(4.968 * Atk) c=(6,776 * STR+ 2 * DEX)/(2 * Atk) n=((4.968 * S + 2 * a)/(4.968 * STR + 2 * DEX)) * Atk Axe Spoiler 1h S=(5.138 * STR + 1.675 * DEX)/(5.13 * Atk) c=(6.365 * STR + 2 * DEX)/(2 * Atk) n=((5.138 * S + 2 * a)/(5.138 * STR + 2 * DEX)) * Atk 2h S=(5.535 * STR + 1.675 * DEX)/(5.535 * Atk) c=(6.8675 * STR + 2 * DEX)/(2 * Atk) n=((5.535 * S + 2 * 2 * a)/(5.535 * STR + 2 * DEX)) * Atk Dagger / Claw(non-Lucky 7 / non-TT) (thieves) Spoiler S=(3.888 * LUK + 1.54(STR + DEX))/(3.888 * Atk) c=(5.544*LUK+2(STR+DEX)/(2 * Atk) n=((3.888 * S + 2 * a)/(3.888 * LUK + 2 * (STR + DEX))) * Atk Lucky 7 / TT Spoiler S=LUK/Atk n=(Atk*S)/(LUK) Gun Spoiler S=(3.888 * DEX + 1.54 * STR)/(3.888 * Atk) c=5.544 * DEX + 2 * STR)/(2 * Atk) n=((3.888 * S + 2 * a)/(3.888 * DEX + 2 * STR)) * Atk Knuckle Spoiler S=(5.184 * STR +1.54 * DEX)/(5.184 * Atk) c=(7.392 * STR + 2 * DEX)/(2 * Atk) n=((5.184 * S + 2 * a)/(5.184 * STR + 2 * DEX)) * Atk Bow/Crossbow Spoiler Bow S=(5.508 * DEX + 1.81 * STR)/(5.508 * Atk) c=(6.154 * DEX + 2 * STR)/( 2 * Atk) n=((5.508 * S + 2 * a)/(5.508 * DEX + 2 * DEX)) * Atk Crossbow S=(6.12 * DEX + 1.9 * STR)/(6.12 * Atk) c=(6.46 * DEX + 2 * STR)/(2 * Atk) n=((6.12 * S + 2 * a)/(6.12 * DEX + 2 * STR)) * Atk Practical Spear (stab) and Polearm (swing) Spoiler For Both: S=(7.2 * STR + 1.72 * DEX)/(7.2 * Atk) c=(8.6 * STR + 2 * DEX)/(2 * Atk) n=((7.2 * S + 2 * a)/(7.2 * STR + 2 * DEX)) * Atk This is not the first post about the matter! https://royals.ms/forum/threads/stat-to-wa-ratio-secondary-to-primary-ratio.123699/ --------------------------------------------------------------------------------------------------------------------------------------- I based this on the information of this page I found somewhere on the forums: https://ayumilovemaple.wordpress.com/2009/09/06/maplestory-formula-compilation/ The most important things regarding this are the formula's for calculating MAX and MIN Damage. MAX = (Primary Stat + Secondary Stat) * Weapon Attack / 100 MIN = (Primary Stat * 0.9 * Skill Mastery + Secondary Stat) * Weapon Attack / 100 Information such as the Primary Stat Multipliers (p) and (r) can be found here as well. Spoiler Stats and Multipliers: One Handed Sword Primary: STR * 4.0 Secondary: DEX One Handed Axe/BW/Wand/Staff (Swinging) Primary: STR * 4.4 Secondary: DEX One Handed Axe/BW/Wand/Staff (Stabbing) Primary: STR * 3.2 Secondary: DEX Two Handed Sword Primary: STR * 4.6 Secondary: DEX Two Handed Axe/BW (Swinging) Primary: STR * 4.8 Secondary: DEX Two Handed Axe/BW (Stabbing) Primary: STR * 3.4 Secondary: DEX Spear (Swinging) Primary: STR * 3.0 Secondary: DEX Spear (Stabbing) Primary: STR * 5.0 Secondary: DEX Polearm (Swinging) Primary: STR * 5.0 Secondary: DEX Polearm (Stabbing) Primary: STR * 3.0 Secondary: DEX Dagger (Non-Thieves) Primary: STR * 4.0 Secondary: DEX Dagger/Throwing Stars (Thieves) Primary: LUK * 3.6 Secondary: STR + DEX Bow Primary: DEX * 3.4 Secondary: STR Crossbow Primary: DEX * 3.6 Secondary: STR Knuckle Primary: STR * 4.8 Secondary: DEX Gun Primary: DEX * 3.6 Secondary: STR These are the special damage formula's. I do not know if my formula's hold for these or if they are accurate for MapleRoyals at all. Here they are regardless. Spoiler Spell Damage: MAX = ((Magic²/1000 + Magic)/30 + INT/200) * Spell Attack MIN = ((Magic²/1000 + Magic * Mastery * 0.9)/30 + INT/200) * Spell Attack Lucky Seven/Triple Throw (credit to HS.net / LazyBui for recent verification): MAX = (LUK * 5.0) * Weapon Attack / 100 MIN = (LUK * 2.5) * Weapon Attack / 100 Venom (damage per second, credit to Joe Tang): MAX = (18.5 * [STR + LUK] + DEX * 2) / 100 * Basic Attack MIN = (8.0 * [STR + LUK] + DEX * 2) / 100 * Basic Attack Ninja Ambush (credit to Fiel): Damage per second tick = 2 * [STR + LUK] * Skill Damage Percentage Shadow Web (credit to LazyBui): Damage per 3-sec tick = Monster HP / (50 - Skill Level) Shadow Meso: Damage = 10 * Number of mesos thrown (in skill description) Normal critical does not apply, instead it has its own built-in critical listed in skill description Assaulter ignores defense if at or above the monster’s level Dragon Roar (credit to Stereo): MAX = (STR * 4.0 + DEX) * Weapon Attack / 100 MIN = (STR * 4.0 * Skill Mastery * 0.9 + DEX) * Weapon Attack / 100 Power Knock Back (both weapons, credit to AGF/Fiel): MAX = (DEX * 3.4 + STR) * Weapon Attack / 150 MIN = (DEX * 3.4 * Mastery * 0.9 + STR) * Weapon Attack / 150 Mastery is 0.1 at all levels Claw (punching): MAX = (LUK * 1.0 + STR + DEX) * Weapon Attack / 150 MIN = (LUK * 0.1 + STR + DEX) * Weapon Attack / 150 Blank Shot: Speculated to be calculated without bullet attack or Gun Mastery Bare Hands: MAX = (STR * J + DEX) * Weapon Attack / 100 MIN = (STR * J * 0.1 * 0.9 + DEX) * Weapon Attack / 100 ATT equals floor((2*level+31)/3) and is capped at 31. J equals 3.0 for Pirates and 4.2 for all 2nd+ job Pirates. Flamethrower (credit to blitzkrieg): Damage per second tick: Damage of initial hit * (5% + Amp Bullet Damage %) Heal Damage (credit to Russt//Devil's Sunrise for Target Multiplier function): MAX = (INT * 1.2 + LUK) * Magic / 1000 * Target Multiplier MIN = (INT * 0.3 + LUK) * Magic / 1000 * Target Multiplier The % listed in the skill description (300% at max) acts as the skill percent (see Order of Operations above). Heal Recovery MAX = something * Magic * Heal Level * Target Multiplier MIN = something * Magic * Heal Level * Target Multiplier old formula (credit to Nekonecat): MAX = (1.132682429*10^-7*luk^2 + 3.368846366*10^-6*luk + 1.97124794*10^-3) * magic * int * healSkillLevel * multiplier MIN = MAX*0.8 Heal Target Multiplier: 1.5 + 5/(number of targets including yourself) For reference- 1 - 6.5 2 - 4.0 3 - 3.166 4 - 2.75 5 - 2.5 6 - 2.333 Poison Brace/Poison Mist/Fire Demon/Ice Demon: Damage per second tick = Monster HP / (70 - Skill Level) Phoenix/Frostprey/Octopus/Gaviota (credit to Sybaris/KaidaTan): MAX = (DEX * 2.5 + STR) * Attack Rate / 100 MIN = (DEX * 2.5 * 0.7 + STR) * Attack Rate / 100 Ignores defense --------------------------------------------------------------------------------------------------------------------------------------- Maths Spoiler For all you nerds out there, we are almost at the fun stuff. First of all, we need to check if the listed formulas are accurate at all. These are the stats of my DK The listed Damage Range in the Stats Menu of my DK is 3111~6972 Spoiler STR 978 DEX 126 W.atk 139 Mastery 0.80 Spear (Stab) (p) = 5 Spear (Swing) (p) = 3 MAX = (Primary Stat + Secondary Stat) * Weapon Attack / 100 MAX = (5 * 978 + 126) * 139 / 100 = 6972.24 MIN = (Primary Stat * 0.9 * Skill Mastery + Secondary Stat) * Weapon Attack / 100 MIN = (978 * 3 * 0.8 * 0.9 + 126) * 139 / 100 = 3111.487 X = Primary Stat = 978 STR Y = W.Atk = 139 p = High Primary Stat Multiplier = 5 r = Low Primary Stat Multiplier = 3 m = Mastery * 0.9 = 0.8 * 0.9 = 0.72 a = Secondary Stat = 126 DEX It seems that the given formula correctly calculates the Damage Range of my DK. Side note: As a DK, I am obviously using Stab 99.99% of the time. Substituting the (p) of Spear (stab) in the formula gives the range 5069.052~6972.4. This actually matters, other classes that are affected by different (p) from Attack Styles should change their values accordingly. When relying on RNG you'd need calculate for the possible scenario's and take the average. If you are panicing now, you can use this generalised formula: (% * S0 + % * S1 .... + % * Sn-1 + % * Sn) Spoiler Finaly, the moment we all have been waiting for. The fun stuff. Starting off with the formula's for weapon unaffected by Attack Styles, We'll start with the rewriting formula for MAX Damage. Note that a constant is being left out. To calculate the relation between X and Y, multiplying the formula with 1/100 does not affect the results. Y(pX + a) X = Main Stat p = Primary Stat Multiplier Y = W.Atk a = Secondary Stat We want to find what increase in X gives the same result as increasing Y by 1. That means we'll write two new equations. For the first X=(X+S) and for the second Y=(Y+1) Solving for S when these two are equal to eachother gives us the amount of stats required to increase Damage the same amount as 1 W.Atk does. We can come up with an easy to solve equation. Y(p(X + S) + a) = (Y + 1)(pX + a) Y(pX + pS + a) = pXY + pX + aY + a pXY +pYS +aY = pXY + pX + aY + a pSY = pX +a S1 = (pX + a)/pY Fortunatly, the party doesn't end here! We can continue with adding the formula for MIN-Damage ! The difference between the MIN and MAX-Damage formula is the addition of (m) Mastery - This variable is always multiplied with 0.9! Again starting with rewriting the formula. Y(pmX + a) m = Mastery * 0.9 Continuing with applying the same process as the previous step coming up with a simular easy to solve equation. Y(pm(X + S) + a) = (Y + 1)(pmX + a) Y(pm(X + S) + a) = (Y + 1)(pmX + a) Y(pmX + pS + a) = pmXY + pmX + aY + a pmXY +pmYS +aY = pmXY + pX + aY + a pmSY = pmX +a S2 = (pmX + a)/pmY Don't be afraid fellow nerds, more things can be done! Adding both equations and taking the average to find our final formula. S3 = (S1 + S2)/2 or 2S3 = S1 + S2 2S = (pX + a)/pY + (pmX + a)/pmY = (m/m)(pX + a)/pY + (pmX + a)/pmY 2S = (pmX + am)/pmY + (pmX + a)/pmY 2S = (2pmX + am + a)/pmY S = (2pmX + am + a)/2pmY We can have a little more fun with determining the formula for weapons affected by Attack Styles (Axe/BW/Wand/Staff/Spear/Polearm) We'll follow the same steps, allthough we have to use a different variable (r) for finding S2. S1 is the same, so we can just copy-paste it. S1 = (pX + a)/pY To find S2 we have to replace (p) with (r) due to having different Primary Stat Multipliers S2 = (rmX + a)/rmY Again, S3=(S1 + S2)/2 2S3=S1 + S2 2S3 = (pY(rmX + a) + rmY (pX + a))/(prmY^2) 2S3 = (2prmXY + pYa + rmYa)/(prmY^2) 2S3 = (2prmX +pa + rma)/(prmY) 2S3 = (2prmX + pa + rma)/(prmY) S = (2prmX + pa + rma)/(2prmY) Spoiler The very last thing to do is to check if this all made any sense. Increasing my DK's W.Atk by 1 increases my Damage Range to MAX = (978 * 5 + 126) * 140/100 = 7022.4 MIN = (978 * 3 * 0.72+126) * 140/100 = 3133.872 To find the amount of STR needed to reach the same Max Damage Range I plugged the following into WolframAlpha 7022.4=(5 * x + 126) * 139/100 x = 985.217 3133.872=(x * 3 * 0.72 + 126) * 139/100 x = 985.465 S1 = 985.217 - 978 = 7.217 S2 = 985.456 - 978 = 7.456 S3 = 7.3365 S=(2prmX + rma + pa)/(2prmY) = (2 * 5 * 3 * 0.72 * 978 + 3 * 0.72 * 126 + 5 * 126)/(2 * 5 * 3 * 0.72 * 139) = 7.336451 This concludes that increasing STR by 7.3365 increases my average Damage Range the same amount as increasing my W.Atk by 1. As a bonus step, I can assume that my DK will be using Spear (Stab) when caring about damage. To find my correct answer I can regard my weapon unaffected by Attack Styles. S = (2pmX + am + a)/2pmY S = (2 * 5 * 0.8 * 0.9 * 978+ 126 * 0.9 * 0.8 + 126)/(2 * 0.8 *0.9 *139) = 7.251 Increasing STR by 7.251 increases my average (practical) Damage Range the same amount as increasing my W.Atk by 1. Secondary Stat (Y + 1)(pX + a) = Y(pX + ab) b1 = (pX/aY) + 1/Y + 1 b2 = (pmX/aY) + 1/Y + 1 b3 = (pX(m+1)/2ay)+1 (978*5+(126*1.28639945187))*139/100 = 7022.4 (978*3.6+(126*1.20822199383))*139/100 = 5105.52 (1.2864 + 1.2082)/ 2 = 1.2473 (5*978)(0.72+1)/(126*139*2)+1/139+1 = 1.24731072285 126(1.24731072285 - 1) = 31.161 DEX for the same increase in Average Damage as 1 W.Atk. --------------------------------------------------------------------------------------------------------------------------------------- Conclusion: I hope you had as much fun as I did while thinking and reading about this stuff. It is very likely that I have made many typo's and spelling errors, feel free to point those out. For the future I do not really intend to update this or work on some kind of usuable application for those that zoned out at the first line of maths. I mostly lack all skill necesary to make such a thing possible. Also, I have read a post on the Forums where someone calculates the effectiveness of the Secondary Stats. Obviously, if my maths is wrong - please let met know, I'd be more than happy to fix it and improve it. The goal was to find a formula that calculates the main question. How much stats increases the (average) Damage Range the same amount as 1 W.Atk does. I found one and succesfuly checked it against my own stats. Unless the used information is incorrect, the formula's should also be applicable to the special damage formula's such as Lucky 7. I have a very messy Excel Sheet and did all maths with pen and paper that is even more messier, may you demand more prove and I made to many typo's while rewriting it on my laptop. I have it f3. If this even is a guide, it would be the first one I have ever written. Obviously I could have done a much better job in the presentation and layout etc. I have no idea how and welcome all tips ! If you have any suggestions for more maths. Yes, I do find this fun. What I might find interesting to do is evaluate avoidability - We Islanders have never really put any numbers on how avoid translates into exp/h. (LukLander = BestLander, no bias) and if there is a reasonable sweetspot. Before finding the link where I found the information I based all this on, I have never understood the actual effects of the defensive stats, I'd be curious to explore that as well when I can think of something fun to base it on. Relation between weapon- and magic defense and Reindeer Milk/hour in LHC ? Aaaanyway. Thanks for coming to my TedTalk and happy grinding ^^. ---------------------------------------------------------------------------------------------------------------------------------------
[reserve for update] LF > Data for chance on Attack Styles for weapons affected so I can make formula's for each weapon by replacing (p) and (r) with constants. Figured out how Brandish works with axes First line deals damage with highest multiplier (p), 2nd line deals damage with lowest multiplier (p) Still looking for BW LF > Data for mastery values of classes including beginner (am a noob, idk other classes then mage and DK) From testing it seems that base mastery is 0.10
refer to this for all the mastery and multipliers of all the classes: https://royals.ms/forum/threads/mapleroyals-skill-library.209540/ Beginner mastery is 10% i believe
Btw, as a side note, when someone wants to calculate the ratio of main stat to WA, I recommend measuring both baseline range, and range once you have used a pot of your choosing [apple/stopper/etc]. Focus the first one if your goal is to brag about your range numbers. Or focus on the second one if you actually want to deal more damage. I did something similar back when I needed to see how many stats am I missing before I can solo shaolin with a gelt, and was surprised at the ratio being so different once I took gelt into account.
my posts don't ever get pinned so they get lost to time... I was once curious myself https://royals.ms/forum/threads/stat-to-wa-ratio-secondary-to-primary-ratio.123699/
I have linked your post! Allthough I have to note that I am not sure how to apply your formula. When I plug in my numbers I get: (((126 * 2) * (1 + 0.72))/139) + (978 / 139) = 10.154 +10.154 STR > 1 W.Atk for my DK. Both my formula and manualy calculating results in 7.217 STR or 31.16 DEX being equal to 1 W.Atk. 1 W.ATk increases my (listed) Average Damage Range from 6972.24 ~ 3111.49 to 7022.40 ~ 3133.87 and practical Average Damage Range from 5069.052~6972.24 to 5105.52~7022.4 Resulting in a listed average increase of 36.27 or practical increase of 43.314 While like 99% of all people reading posts like this prefering to see as little maths as possible, I am missing in your post how you came to your formula's. You are starting with stating that Average Range = (A(2S + PK(1 + 0.9M))/200 How did you find this formula to start with? However, it does correctly calculate my average (practical) range! (6972.24 + 5069.052) / 2 = (139(2 * 126 + 978 * 5(1 + 0.9 * 0.8))/200 = 6020.646 I am also missing a clear list of what each variable represents. My guess: A = Attack P = Primary S = Secondary C = K(1 + 0.9M) K = Primary Stat Modifier It might be an oversight or you have not updated your post after a certain patch. But you've listed the Mastery of Archers as being 0.9. This is incorrect since Crossbowman have a Mastery of 1. Finaly, you lose my when proving your maths. By your steps (chain rule and dRange / dA) I am assuming you are taking the derivative of the equation (Range/A) = (2S + CP)/200. I might simply not be skilled in maths enough to be able to confidently take derivatives of a 4-variable equation. But I feel I am missing a lot of maths to conclude that Ratio = 2S/CA + P/A. Data we both are missing is the chance on Attack Styles. I might be totaly wrong here but I have always believed that the chance on a BW swing and BW Stab are not both 50%. I have had this believe since the early GMS days and it the knowledge came from the same people that said Spear (stab) has a 166% Damage modifier. I know now that it is a close enough approximation but incorect. Also these people have had me believe that Pole-Arm was superior to Spear until 3rth Job due to the higher chance of getting a Swing than Stab. It has been over a decade ago that I was playing an Islander in EMS and used a Rose to attack with and my experience has told me that the chance on Swing was indeed higher than Stab, further cementing this believe. I am very much hoping to find more data on this. Anyway, the tl;dr is that I feel quite confused by your post. Also to prevent off-topic related spam on this post. It might be better to take the discussion to either PM or your post.
From https://ayumilovemaple.wordpress.com/2009/09/06/maplestory-formula-compilation/ Actually, before 2020, in 2018, I derived the formula not from proofs, but by observing trend in damage range by adjusting stat vs attack. Basically plotting graph on spreadsheet with generated stats and attack. You could try that approach and see if your formula matches with the original range formula. i.e. does increasing x stat lead to roughly same increase in range as increase y weapon attack. Yes, I wrote these in 2018-2020, so the crossbowman formula mastery might have changed The "attack styles" variable is expressed through mastery. EDIT: attack as in total attack from everything, weapon, rings, pendents, heartstoppers... everything EDIT2: on the matter of chance, I believe it was 3:2 swing stab for bw -- feel free to change to whatever ratio you think it is accurate. Take this ratio and average out the mastery. For spears, you are always stabbing if you use crusher. For heroes, brandish will swing stab in equal ratio, so if using non-swords, take that into account and average net mastery.
It indeed has been a while ^^ The tl;dr of what I was trying to say is that when I apply your formula I do not get the correct values. My formula's give the exact values required to gain the same average damage values as 1. Watk does. Wich are both checked against the given formula's as by manual calculating (in excel). I was working on a formula that calculates (n) W.Atk = Primary Stat + Secondary Stat. But it became a huge unreadable mess with too many typo's and have deleted it for now. I might not have used the correct terminology when talking about Attack Styles. With that I mean f.e. the difference in Spear(stab) and Spear(swing). These are not affected by Mastery but I think we were misunderstanding eachother. "EDIT2: on the matter of chance, I believe it was 3:2 swing stab for bw" This, yes please. This I need so badly xD. Also 1 INT =/= 1 M.Atk Edit n=(Y/2)((pS+ac)/(pX+a)+(pmS+ac)/(pmX+a)) Need to check this later
Ah yes, my mistake, I don't mean mastery but the multiplier when swing/stab. Could you give example stats, so I could do some calculations?
As far as I can tell your spell damage formulas are accurate, although missing Archmage's 1.4x boost, and elemental wand boost but those are global multipliers so shouldn't affect ratios. Summons likely follow the same spell damage formula - bahamut hits almost exactly the same damage as angel ray for me. 1 int is usually 5-10% better than 1 matk, but in unusually high/low tma scenarios it might go outside of this range. This is because (for genesis, the exact value differs based on the spell but the idea stays the same) 1 int gives a flat damage boost of 3.35 minimum damage above 1 MA (INT/200*SpellAttack = 670/200*INT=3.35*INT). Meanwhile, the total damage of the spell scales quadratically, meaning each additional tma gives more damage than the last tma, so this flat 3.35 damage bonus becomes less impactful. Here's the charts for marginal damage increases of genesis (lv 30). The exact min dmg increases will change based on spell/level but the % increases should remain consistent, barring rounding errors: At 400 tma: 1 int = 11.2% above ma (33 min dmg vs 30 min dmg added) At 800 tma: 1 int = 7% above ma (51 min dmg vs 48 min dmg added) At 1000 tma: 1 int = 5.9% above ma (60 min dmg vs 57 min dmg added) At 1300 tma: 1 int = 4.8% above ma (73 min dmg vs 70 min dmg added) At 1600 tma: 1 int = 4% above ma (87 vs 84) At 2k tma: 1 int = 3.3% above ma (105 vs 101) at 69k tma: 1 int = 0.1% above ma (3097 vs 3094) If you care about more than just minimum damage, the gap shrinks more as the tma part is affected by low damage rolls meaning it's effect gets reduced when talking about min damage, but the int part doesn't. However, usually mages care about 1hitting so it's better to focus on min damage.
Added: ac/S for each weapon. This value evaluates how much Secondary Stat yields the same damage increase as 1 Primary Stat. Made a mistake, thanks @fuzzything44 for pointing out. Removed: INT vs Matk comparison. Made a mistake in how it should be calculated.
