Update: This is now irrelevant. Please go here This will answer (almost) all of your questions about the STR vs DEX debate (pvp not included)
Click here if you want to see what I've written down before.
Hello. Firstly, this is going to be a lengthy post.
I am going to assume a few things before I get started.
-Monster defense is negligible and therefore will be set to 0.
-A level 280 character with 279 + 20 bonus stats.
-No gears will affect the 5 primary stats, and only the main weapon and gems will affect attack damage.
-The weapon will be endgame and the best weapon in the game, and the gem will be level 10.
To start off, I want to say that I used a level 280, C3 monk, C3 krivis for my calculations (because that’s what I will eventually become), and I will be using Double Punch at level 15.
There are a few things to note.
-I am using Lolopanther sword, and Illizia at max grind
-a green gem for the main weapon and sub weapon.
-a red gem for the gloves
-Krivis buffs
-Divine Stigma (+78 STR)
-Zalciai (+100 crit attack)
Crit Formula is (Crit rate - Crit Resist)*42/Level
In this case we are going to assume no crit resistance so it will be (Crit rate)*0.15
Now, a level 10 green gem gives +92 crit rate on main weapon and +120 crit rate on sub weapon, and a red gem gives +73 crit attack to gloves according to this website http://toswiki.treeofsaviorgame.com/item/gem
With this assumption,
-Main weapon green gem gives about 13.8% crit rate at level 280.
-Sub weapon green gem gives about 18% crit rate at level 280.
-Total is 31.8% crit rate.
I will also be using a level 10 red gem for Main weapon and sub weapon for >30% crit rate.
They give +58 max attack on main weapon, and +70 p.atk on sub weapon.
DMG formula <{[Skill Attack + Attack + [random(0% ~ 100%)*Magic Amp](100% + T0)]-{[(Defense - Defense Debuff)(100% + Level Penalty)] + Element Resist}}[100% + (50% if crit)] + crit attack + Element Attack + Enemy Specific DMG>(100% + T1)(100% + T2)(100% + T3)(100% + Enhance) + Bonus Dmg
However, most of that does not matter. All we need is
-(Skill attack + attack) * (100% + 50% if crit) + crit attack
Also, there is one important thing to note. The only ways to get over 100% crit rate is with a Priest’s buff Monstrance or by using multiple green gems on your weapons
Here is my theoretical calculation that I did. Click here!
Lolopanther Sword: 367 atk + 250 (198 crit atk)
Illizia: 662 atk + 175 (365 crit atk)
Divine Stigma: +78 str (also +78 crit atk)
Zalciai: +100 crit atk
S.Weap Green Gem: +120 crit rate, -40 max atk
M.Weap Green Gem: +93 crit rate, -55 crit atk
Gloves Red Gem: +73 crit attack
Double Punch: 663 attack
I used the red gems instead of green gems for the 10% and 20% crit rate calculations. Every other one uses green gems.
They all follow this format
ratio (stat points invested ratio) STR:DEX [crit rate]
(actual stat value)
Weapon name
critical hit| non-crit hit
Critical hit * crit rate %*100 | non-critical hit * (100 - crit rate %*100)
Average: [Critical hit * crit rate %*100 + non-critical hit * (100 - crit rate %*100)]/100
However, if you don’t want to read this mess go here -> https://docs.google.com/spreadsheets/d/1Wpz3sXlvvtRpX-ZzIKwyZGxbCjCCNxb1DdxdAaEOtAw/edit#gid=0 and go to the second sheet. I would like to assume that I can leave this on free edit without anyone messing it up.
1:0 (299:0) STR:DEX [0% crit]
(actual stat value 625:3 STR:DEX) <-may vary with class
Lolopanther - 367 + 250 (c.atk 198)
4660|2391
0|239100
Average: 2391
Illizia - 662 + 175 (c.atk 365)
5157|2611
0|26110
Average: 2611
1:0 (299:0) STR:DEX [~13% crit]
(actual stat value 625:3 STR:DEX) <-may vary with class
Lolopanther - 367 + 250 (c.atk 198)
4518|2333
45180|209970
Average: 2551
Illizia - 662 + 175 (c.atk 365)
5015|2553
50155|229770
Average: 2799
1:0 (299:0) STR:DEX [~18% crit]
(actual stat value 625:3 STR:DEX) <-may vary with class
Lolopanther - 367 + 250 (c.atk 198)
4477|2321
88540|185680
Average: 2752
Illizia - 662 + 175 (c.atk 365)
4919|2541
99480|203280
Average: 3027
1:0 (299:0) STR:DEX [~31% crit]
(actual stat value 625:3 STR:DEX) <-may vary with class
Lolopanther - 367 + 250 (c.atk 198)
4353|2223
130605|155610
Average: 2862
Illizia - 662 + 175 (c.atk 365)
4850|2443
145515|171010
Average: 3165
6:1 (257:42) STR:DEX [~40% crit]
(actual stat value 534:54 STR:DEX) <-may vary with class
Lolopanther - 367 + 250 (c.atk 198)
4126|2132
165040|127920
Average: 2929
Illizia - 662 + 175 (c.atk 365)
4623|2352
184920|141120
Average: 3260
2.11:1 (203:96) STR:DEX [~50% crit]
(actual stat value 419:121 STR:DEX) <-may vary with class
Lolo
3838|2017
191925|100850 85850
Average: 2927
Illizia
4335|2237
216775|111850
Average: 3286
1:1 (150:149) STR:DEX [~60% crit]
(actual stat value 305:187 STR:DEX)
Lolo
3553|1903
213210|76120
Average: 2893
Illizia
4065|2133
243930|84920
Average: 3288
1:1.99 (100:199) STR:DEX [~70% crit]
(actual stat value 204:254 STR:DEX)
Lolo
3301|1802
231070|54060
Average: 2881
Illizia
3798|2022
265860|60660
Average: 3265
1:7.79 (34:265) STR:DEX [~83% crit (using 80%)]
(actual stat value 73:342 STR:DEX)
Lolo
2973|1671
237880|33420
Average: 2713
Illizia
3470|1891
277640|37820
Average: 3154
0:1 (0:299) STR:DEX [~90% crit]
(actual stat value 9:388 STR:DEX)
Lolo
2813|1607
253215|16070
Average: 2692
Illizia
3310|1827
297945|18270
Average: 3162
1:7.79 (34:265) STR:DEX [=100% crit w/ monstrance]
(actual stat value 73:342 STR:DEX)
Lolo
2973|1671
297330|0
Average: 2973
Illizia
3470|1891
34700|0
Average: 3470
As you can see with this THEORETICAL chart, 100% crit rate has the highest dps with 40% being the second highest
Again, 100% crit rate is only possible with Monstrace buff from Priest, or using multple green gems on the weapons
https://docs.google.com/spreadsheets/d/1Wpz3sXlvvtRpX-ZzIKwyZGxbCjCCNxb1DdxdAaEOtAw/edit#gid=337006038 <- go here to see my data easier.
As for the question about defense. How much does it take off? Well not much.
~300 defense reduces the average by 300~450.
~200 defense reduces the average by 200~300.
~100 defense reduces the average by 100~150.
Monster defense affects higher critical rate average damage more than lower critical rate average damage.
i.e 300 monster defense, 0% crit rate = 2391 -> 2091 – only 300 damage reduced
300 monster defense, 50% crit rate = 2927 -> 2552 – 365 damage reduced
300 monster defense, 100% crit rate = 2973 -> 2523 – 450 damage reduction!
In the presence of High Monster defense ~40% crit rate would be better than 100%.
High Monster defense would mean that going 100% crit isn’t the highest damage anymore. It would be 40% crit rate that is the highest.
What about all the other damage enhancing things on the damage formula?
-They aren’t going to change the line graph at all. The most they will do is make all the average damage higher or lower at the same time
So, Ideally the best STR:DEX ratio is what will give you about 40% crit rate, and you get 31.8% of that from level 10 gems (assuming those are the actual gem values)
However, there are ways to reducing defense and getting rid of it entirely. Armor break debuff, Deprotect Zone, Monstrance, etc.
This isn’t limited to Monk; it works for every Physical based damage class. Sorry Magic classes, you can’t crit.
TL:DR Get 8.2% worth of crit rate from DEX with two green gems, OR use multiple level 10 green gems on your weapons, OR just get 40% worth of crit rate from DEX, the rest can go to STR. The ratio is about 6:1 STR:DEX with a level 10 green gem on both main and sub weapon.
Though if you disagree with me I would like to hear your reasons.
Any questions, please ask them.