TKoK Miscellaneous Data

Last Updated: 2023-06-18
Updated for: Version 3.5.15-8 (ENG)

These notes are translated copies of the mini-articles available on the Chinese Version site, along with some of my own notes.

Table of Contents:
    I.    Special Droprate Info
    II.   VX Task Mini-Guide
    III.  Luck Mechanics
    IV.   Pioneer Achievement
    V.    Victorious General Achievement
    VI.   Fate Card/Reverse Fate Card Guide
    VII.  Enemy Spell Scaling
    VIII. Experience Achievement Charts
    IX.   Overlimit Stats

//=================================================================================
// I. Special Droprate Info
// These bosses do not use the standard droprate formula and run off their own special rates.

// Zanatath (APT Bonus: Yes, Luck Bonus: Yes, Chronowarper Boost: No)
// Has two modes: Lesser VX and True VX. No Epics are dropped on Lesser VX (but Hessel will still appear).
    - Normal: 1.00 Enchanted + 0.35 per player, 0.05 Epics
    - Legendary: 1.00 Enchanted + 0.70 per player, 2.00 Epics
    - Heartcore: 1.00 Enchanted + 1.05 per player, 12.00 Epics
    - Special: NPC Hessel appears on Legendary and above, allowing players to choose 1 additional Epic item to obtain. If killed in True VX, allows choosing of 2 items instead of 1.

// Tower Minibosses (APT Bonus: Yes, Luck Bonus: Yes, Chronowarper Boost: No)
// Parvin, Villard, Arkham, Ripper
// "Reduced" denotes droprate if 'Remove Ommog Respawns" option is used.
    - Normal: 0.21 items (Reduced: 0.07 items)
    - Legendary: 1.35 items (Reduced: 0.45 items)
    - Heartcore: 3.60 items (Reduced: 1.20 items)

// Arthas (APT Bonus: No, Luck Bonus: No, Chronowarper Boost: No)
// Drops a special rune item that can be used to upgrade a Level 39 Twins weapon to its Level 45 counterpart.
// Has no other drops.
// "Reduced" denotes droprate if 'Remove Ommog Respawns" option is used.
    - Normal: 6% chance (Reduced: 3% chance)
    - Legendary: 30% chance (Reduced: 15% chance)
    - Heartcore: 100% chance (Reduced: 50% chance)

// Empowered Ommog Tower (APT Bonus: No, Luck Bonus: No, Chronowarper Boost: No)
// You can attempt Empowered Tower mode by selecting Empowered Tower in the game options at map start. You have to do this on Nightmare difficulty.
// All Tower bosses and minibosses
    - Nightmare: 1.00 items

//=================================================================================
// II. VX Task Mini-Guide
You can accept the quest 'A Simple, Easy Task' from the Small Spirit in Emerith. By default, this quest will be completed in non-VX mode. You can complete this quest in VX Mode by selecting the 'Task VX' option at map start.

If you manage to successfully complete VX Task, the amount of Relics dropped will be increased by 1 and you will also get Divine Carnelia as rewards (see section [III. Luck Mechanics]).

If you manage to complete VX Task, then all players in that game will have their World Level advanced to [current Empowered Level + 1], granting additional stat and talent points and increasing the flat stat bonus that you acquire upon completing Sylph's Hero Trial. For heroes with World Level 1, this is [0.55 x Hero Level], added to both Constitution and one class-specific substat. Obtaining higher World Level increases this bonus.
- World Level 2: +1 Talent Points, +15 Substat Points, +[0.75 x HeroLevel] Constitution and one class-specific substat
- World Level 3: +2 Talent Points, +30 Substat Points, +[1.00 x HeroLevel] Constitution and one class-specific substat
- World Level 4: +3 Talent Points, +45 Substat Points, +[1.30 x HeroLevel] Constitution and one class-specific substat
- World Level 5: +4 Talent Points, +60 Substat Points, +[1.65 x HeroLevel] Constitution and one class-specific substat
- World Level 6: +5 Talent Points, +75 Substat Points, +[2.05 x HeroLevel] Constitution and one class-specific substat
- World Level 7: +6 Talent Points, +90 Substat Points, +[2.50 x HeroLevel] Constitution and one class-specific substat
In addition, Relic drops will be further increased by [Empowered Level - 1].

You will also gain Achievement Points based on your highest World Level obtained across all your characters.
    - World Level 2: 80 APT
    - World Level 3: 240 APT
    - World Level 4: 480 APT
    - World Level 5: 800 APT
    - World Level 6: 1200 APT
    - World Level 7: 1680 APT

//=================================================================================
// III. Luck Mechanics
// Each point of Luck stat increases Fate Card, Epic and Relic droprate, Primal Flame and Blacklight Crystal droprate, Divine Carnelia base rate, and also grants a small chance to obtain 2x EXP and Gold from most sources.

Your Luck stat can be increased in a few ways:
    - Spending Star Glass at the Wishing Fountain in Emerith (up to +100 Luck)
    - Equipping the Lucky Star item (+35 Luck)
    - Spending Dedication Points at Dedication Master Arlena (up to +50 Luck)

The chance to get double XP and Gold is equal to 100 + [100 * (SquareRoot(Player's Luck) - 200) / (SquareRoot(Player's Luck) + 200)]. This formula is a little unwieldy, so here's some calculated values for you to eyeball it:
    - 10 Luck: 3.11% chance of double XP and Gold
    - 35 Luck: 5.75% chance of double XP and Gold
    - 85 Luck: 8.81% chance of double XP and Gold
    - 100 Luck: 9.52% chance of double XP and Gold
    - 150 Luck: 11.54% chance of double XP and Gold
    - 185 Luck: 12.73% chance of double XP and Gold

For drops, your team's total Luck bonus is summed up from all players before being applied as a single, additive boost.

Luck bonus affects boss drops the following ways:
    - Normal: Epic item drops increased by +[TotalLuck / 3000]
    - Legendary: Epic item drops increased by +[TotalLuck / 600]
    - Heartcore: Epic item drops increased by +[TotalLuck / 250]
    - Nightmare: Relic item drops increased by +[TotalLuck / 750]
    - This bonus doesn't affect certain bosses; see [I. Special Droprate Info] section.

Divine Carnelia drop bonus is added before Empowered Level multiplier is calculated, so the total Divine Carnelia drop amount is ([0.25 * Player Count] + [TotalLuck / 1000]) * [Empowered Level]. If there is a fractional part remaining (e.g. 0.9 Divine Carnelia), one Blacklight Crystal will be spawned for every 0.333 Divine Carnelia remaining.

For Fate Card, Primal Flame, and Blacklight Crystal drops, the game calculates a single multiplier based on your team's total Luck and APt bonuses and applies this multiplier to all three types of drops. This "Luck Multiplier" is (1.0 + [0.5 * players with 3250 APt or higher]) * (1 + [Total Team Luck / 100]).

Using the above multiplier, the droprate of each item is as follows:
    - Fate Card: [Boss first kill APt / 2500 * Empowered Level * Luck Multiplier]
    - Primal Flame: [Boss first kill APt / 2500 * Empowered Level * Luck Multiplier]
    - Blacklight Crystal: [Boss first kill APt / 10000 * Empowered Level * Luck Multiplier]
    - These droprates are only for bosses that give APt. Tower minibosses (Parvin, Villard, Arkham, Arthas, Ripper) use different rules.

Primal Flame drops for Tower minibosses:
    - Base rate: 1% for Normal, 3% for Legendary, 6% for Heartcore, 10% for Empowered Tower
    - Base rate is multiplied by 1.3x for Arthas and Ripper
    - Primal Flame drop: [Base rate * Luck Multiplier].
    - Blacklight Crystal drop: [0.25 * Base rate * Luck Multiplier].
    - On Empowered Tower, all Primal Flame drops are upgraded to Blacklight Crystal, and all Blacklight Crystal drops are upgraded to Divine Carnelia.

//=================================================================================
// IV. Pioneer Achievement
// To get Pioneer kills: Be in a game with 3 or more players, all of whom are below a certain level. All players must be at World Level 0, and must stay that way until you kill The Twins (check with -st).
// Note you can also view the below charts by using the -plist and -plistn commands in-game.
    Broodmother - Lvl 6 or below, +30 APT
    Narith - Lvl 12 or below, +30 APT
    Sand Golem - Lvl 16 or below, +30 APT
    Karrix - Lvl 18 or below, +30 APT
    Karavnos - Lvl 24 or below, +45 APT
    Tal'Navi - Lvl 28 or below, +45 APT
    M'Karsa - Lvl 30 or below, +60 APT
    Ancient Hydra - Lvl 32 or below, +60 APT
    Ortakna - Lvl 34 or below, +90 APT
    The Twins - Lvl 36 or below, +180 APT
    Full Completion (all above bosses) - Permanent +25% XP and Gold for all characters on your account

// Nightmare UVX
// These bosses are not required to be killed to obtain Pioneer and give no APT, but you can obtain relics from them as desired.
    Broodmother UVX - Lvl 28 or below
    Narith UVX - Lvl 32 or below
    Sand Golem UVX - Lvl 36 or below
    Naztar UVX - No level limit
    Karrix UVX or higher - (unobtainable in Pioneer)

// Pioneer notes (for potential attempters):
    - All listed bosses must be killed in VX mode.
    - At *no* point are you allowed to kill one of the listed bosses with any character in your party that is above the level requirement. Doing so will make your character World Level 1, permanently disqualifying you from obtaining Pioneer using that character.
    - You *also* cannot have a World Level 1 character in your party at any point. Doing so will also set you to World Level 1.
    - Bosses listed on the Pioneer chart will give no experience and will have increased epic drop rate (+2 epics on Normal, +4 on Legendary). The EXP negation only affects listed bosses, so your party will need to be careful not to gain too much EXP on non-listed bosses.
    - Non-listed bosses are Naztar, Avnos, Karnos, Vjaier, Crueltis, Crypt Fiend, and Ghoul. These bosses will award XP as per regular rules. They can be safely killed with higher level characters in your game (everyone must still be World Level 0).
    - Because of the level limitations on bosses, your party will *never* be able to go back to farm gear from previous bosses. It is therefore important that your party stops to fully farm every boss for all needed gear before moving on.

//=================================================================================
// V. Victorious General Achievement
// Victorious General is a special challenge mode, similar to Pioneer. To attempt the challenge, enter the command -genchallenge at map start before selecting a difficulty.

// Victorious General description:
    - The goal of this challenge is to complete the entire game up to Twins in a single game.
    - You will not be able to save nor load characters in this mode.
    - Difficulty will be set to Legendary.
    - Fate Card and Reverse Fate Card effects will be disabled.
    - Bosses will drop exactly 1 of each of their Epic items.
    - Bosses will always drop 15 Enchanted items. Unlike the Epic drops, these Enchanted items will be random.
    - Parties of 6 or more players will gain 2 of each Epic instead of 1.
    - All players have a flat +120% EXP and +200% Gold bonus for the duration of the challenge.
    - No EXP will be lost upon death.

// Notes (for potential challengers):
    - It's strongly recommended to already be familiar with all boss mechanics before attempting this challenge. It will be a multi-hour affair already, so prolonging it by needing to learn/practice bosses isn't a good idea.
    - Because there are no random Epic drops, part of the challenge will be rationing key items to players. Your team composition will matter a great deal; consider carefully beforehand how you will divide item loot according to class and player.
    - The Twins must be completed in VX mode. All other bosses need not be completed in VX, but remember that if you don't complete VX mode you will not get any Epic drops. So basically, you'll still want to complete VX mode.
    - Upon defeating Hydra, one of every Relic item from Broodmother and Narith will be dropped.
    - Upon defeating Ghoul, one of every Relic item from Sand Golem and Karrix will be dropped. You will also get 2x Ring of Barrier (4 for parties of 6+ players).
    - Additional key items will be provided based on the number of players:
        - 4 players: Ring of the Heavens, Aggressive Amulet, Agreeable Amulet, Twilight
        - 5 players: 2x Ring of the Heavens, Rejuvenating Ring, Recondite Ring, Winged Shoulders, Bewitched Girdle, Aggressive Amulet, Agreeable Amulet, Twilight
        - 6 players: 3x Ring of the Heavens, Rejuvenating Ring, Recondite Ring, Bewitched Locket, Dawn, Dusk, Winged Shoulders, Bewitched Girdle, Recondite Fascia, 2x Aggressive Amulet, 2x Agreeable Amulet, 2x Twilight
        - 7 players: 4x Ring of the Heavens, 2x Rejuvenating Ring, 2x Recondite Ring, Bewitched Locket, Dawn, Dusk, 2x Winged Shoulders, 2x Bewitched Girdle, Recondite Fascia, 2x Aggressive Amulet, 2x Agreeable Amulet, 3x Twilight
    - All items will spawn pre-forged to +6.
    - Level is capped at 43.
    - All players will gain a special Wish buff that grants 13% Life, 13% Attack Power, 13% Spell Power, and 30 movespeed for the Twins fight only.
    - Once you defeat The Twins, the save restriction will be lifted and you will be able to save your character.
    - [Victorious General] achievement: +400 APt, 25% XP and Gold bonus permanently, 20% discount on forging gold costs, reduce Wishing Fountain Star Glass cost to 0.

//=================================================================================
// VI. Fate Card/Reverse Fate Card guide

// Fate Cards can drop from bosses at a low rate (see section [III. Luck Mechanics]).
// You can also buy Fate Cards from NPC Albus in Training Grounds.

0 - The Fool: (Level * 1) Armor
1 - The Magician: (Level * 0.9) Spell Power
2 - The High Priestess: (Level * 1) Attack Power
3 - The Empress: (Level * 1.1) Max Mana
4 - The Emperor: (Level * 3.9) Max Life
5 - The Hierophant: (Level * 0.2%) Spell Crit Chance
6 - The Lovers: (Level * 0.4) Life Regen
7 - The Chariot: (Level * 0.7) Move Speed
8 - Justice: (Level * 0.17%) Attack Crit Chance
9 - The Hermit: (Level * 0.02) Mana Regen
10 - Wheel of Fortune: (Level * 2%) Bonus GP
11 - Strength: (Level * 0.55) Power
12 - The Hanged Man: (Level * 0.55) Agility
13 - Death: (Level * 0.65) Energy
14 - Temperance: (Level * 1%) Bonus XP
15 - The Devil: (Level * 0.93%) Spell Crit Power
16 - The Tower: (Level * 0.72%) Attack Crit Power
17 - The Star: (Level * 0.2%) Dodge
18 - The Moon: (Level * 0.3%) Block
19 - The Sun: (Level * 0.2%) Magic Resist
20 - Judgement: (Level * 1.3) Attack Damage
21 - The World: (Level * 1%) Attack Speed

Reversed Fate Cards
    - Once you obtain the 22 main Fate Cards, you can start buying Reverse Fate Cards.
    - Owning a Reversed Card grants you 40% of the stat bonus of that card, permanently.
    - Stat bonuses from Reversed Cards apply to all characters in your account.
    - This stacks with regular Fate Card bonuses, but is halved on characters that haven't completed Sylph's Hero Trial.

Secondary Fate Cards
    - An additional 52 Fate Cards (arranged into 4 decks of 13) can be obtained after all primary Fate Cards.
    - These secondary Fate Cards provide the following benefits:
    - Swords:
        - Reduce the EXP lost on death by 1%.
        - Increases the stat bonuses provided by Offensive Wisp by 2% per card.
        - While Offensive Wisp is active, increase the duration of Emerith Elixirs by 2% per card.
    - Cups:
        - Reduce the EXP lost on death by 1%.
        - Increases the stat bonuses provided by Defensive Wisp by 2% per card.
        - While Defensive Wisp is active, increase the duration of Emerith Elixirs by 2% per card.
    - Wands:
        - Reduce the EXP lost on death by 1%.
        - Increases the stat bonuses provided by Supportive Wisp by 2% per card.
        - While Supportive Wisp is active, increase the duration of Emerith Elixirs by 2% per card.
    - Pentacles:
        - Reduces all gold costs by 1.5% per card. This also affects gold lost on death.

Each primary Fate Card grants you +25 APt. If you have all 22 primary cards, you gain an additional bonus of +500 APt, for a total of 1050 APt.
Each secondary Fate Card grants you +5 APt, totalling an extra 260 APt for having all of them (no set bonus).
Each Reversed Fate Card grants you +100 APt, totalling an extra 2200 APt for having all of them (no set bonus).

//=================================================================================
// VII. Enemy Spell Scaling

Enemy spell damage, which includes almost everything that's affected by your Magic Resist, is scaled in one of two ways:

Earlygame: as [Base Amount * 0.8 * Early Difficulty Modifier * Early Player Modifier].
Lategame: as [Base Amount * (Late Difficulty Modifier + Late Player Modifier)].

The "Earlygame" formula is only used by enemies before Ruined Temple; however, not all enemies use it.
"Lategame" is used by pretty much everything else.

"Base Amount" is the base damage of the ability.

"Early Difficulty Modifier" is calculated depending on the base amount:
    - If the base damage is 200 or less, it's 1.0 on Normal, 1.35 on Legendary, 1.5 on Heartcore, 1.65 on Nightmare, and 1.55 on Champion mode.
    - If the base damage is between 200 to 400, it's 1.0 on Normal, 1.28 on Legendary, 1.41 on Heartcore, 1.54 on Nightmare, and 1.46 on Champion mode.
    - If the base damage is above 400, it's 1.0 on Normal, 1.22 on Legendary, 1.39 on Heartcore, 1.56 on Nightmare, and 1.44 on Champion mode.
"Early Player Modifier" is 1.0 in solo games, and [0.9 + (0.07 * Player Count)] otherwise.

"Late Difficulty Modifier" is 0.7 for Normal, 1.0 for Legendary, 1.2 for Heartcore, and 1.3 for Nightmare. Victorious General uses a difficulty modifier of 1.1125 (except during the Twins fight, where it's 1.0), and Champion difficulty's is 1.2625.
"Late Player Modifier" is just [0.05 * Player Count].

A few enemy abilities (such as the rain of arrows used by the Centaur Elite Ranger during the Crueltis fight) ignore Magic Resist, but are still scaled using spell scaling.
Pure damage (such as the damage you take from Devil stacks on Karavnos UVX) is *never* scaled, except for a few cases in the Zanatath fight.

//=================================================================================
// VIII. Experience Achievement Charts
// This section has expanded information on the Experience Achievements.

// Golddigger
// Golddigger progress only updates when you save your hero and reload it.
Highest Gold 100+ - 1 APt
Highest Gold 500+ - 1 APt
Highest Gold 1000+ - 1 APt
Highest Gold 5000+ - 1 APt
Highest Gold 10000+ - 1 APt
Highest Gold 50000+ - 5 APt
Highest Gold 100000+ - 5 APt
Highest Gold 140000+ - 0 APt, title [Golddigger] unlocked
Highest Gold 150000+ - 5 APt
Highest Gold 200000+ - 10 APt

// Highly Armored
Highest Equip Level 5+ - 1 APt
Highest Equip Level 10+ - 1 APt
Highest Equip Level 15+ - 1 APt
Highest Equip Level 20+ - 1 APt
Highest Equip Level 25+ - 1 APt
Highest Equip Level 30+ - 5 APt
Highest Equip Level 35+ - 5 APt
Highest Equip Level 40+ - 10 APt
Highest Equip Level 45+ - 10 APt
Highest Equip Level 50+ - 25 APt, unlocks [Highly Armored] title
Highest Equip Level 55+ - 25 APt
Highest Equip Level 60+ - 50 APt
Every additional 5 E.L. above 60 gives +50 APt.

// Pathfinder
Highest Game Progress 1 - 1 APt
Highest Game Progress 2 - 2 APt
Highest Game Progress 3 - 3 APt
Highest Game Progress 4 - 4 APt
Highest Game Progress 5 - 5 APt
...etc. The highest Game Progress currently obtainable is 19.

// Grand Leader
Highest Level 5+ - 1 APt
Highest Level 10+ - 1 APt
Highest Level 15+ - 1 APt
Highest Level 20+ - 1 APt
Highest Level 25+ - 1 APt
Highest Level 30+ - 5 APt
Highest Level 35+ - 5 APt
Highest Level 40+ - 10 APt
Highest Level 43+ - 0 APt, unlocks [Grand Leader] title
Highest Level 45+ - 10 APt
Highest Level 50+ - 25 APt

// Dreamwalker
Completed - 100 APt

// Super Star
Completed - 150 APt

// Victorious General
// Also grants 20% reduction to forging gold cost, +25% XP/GP bonus and reduces Wishing Fountain stat boost cost to 0.
Completed - 400 APt

//=================================================================================
// IX. Overlimit Stats
// As of version 3.5.15, Dodge, Block, Magic Resist, and Critical Chance are now able to exceed their previous limits.
// The formulas in this section only apply if you exceed the cap.

// Dodge, Magic Resist
// Soft Limit: 50%
New Value = 50 + (50 * (Value - 50) / (Value + 65))

// Critical Power
// Soft Limit: 400%
New Value = 400 + (650 * (Value - 400) / (Value + 400))

// Critical Chance, Block (all classes except Warrior)
// Soft Limit: 70%
New Value = 70 + (30 * (Value - 70) / (Value + 28))

// Block (Warrior Lvl 40+)
// Soft Limit: 80%
New Value = 80 + (20 * (Value - 80) / (Value + 32))