calculations:card-level

Table of Contents

Card Level

The level of a card affects the Base Stats of a card (along with the unlocked Skill Tree nodes).

While the game database hardcodes all stats for every possible level for every card1), it is reasonable to assume that when a new card is designed, stats are defined for their standard max level and the rest is derived from there.

Stats scale linearly between Level 1 and the card's standard max level, and from there through the bonus levels. The formulae below were calculated using those hardcoded stats, and are only rough estimations (+/- 2) because the rounding on these is a hot mess - but are good enough for most uses outside of where exact calculations neccessary. You could use this well enough to calculate the bonus stats you'd get from Level Cap increases from the Bond Board, for example.

For Research Talk, visit the Card Level (Research) subpage.

Ultra Rare

\begin{align*} stat_x = stat_{80} \cdot \begin{cases} 0.6 + 0.4 \cdot \frac{x - 1}{79} & \text{if}\;x \leq 80 \\ 1 + 0.02 \cdot (x - 80) & \text{if}\;x > 80 \end{cases} \end{align*}

Level 1: 60% of max level stats ➡ Level 80: 100% of max level stats

Level 82: 104% of max level stats ➡ Level 84: 108% of max level stats ➡ Level 86: 112% of max level stats

Each level until Level 80 adds about 0.5% of max level stats, each bonus level beyond Level 80 adds 2% of max level stats.

Super Rare

\begin{align*} stat_x = stat_{60} \cdot \begin{cases} \frac{2}{3} + \frac{1}{3} \cdot \frac{x - 1}{59} & \text{if}\;x \leq 60 \\ 1 + \frac{5}{6} \cdot (x - 60) & \text{if}\;x > 60 \end{cases} \end{align*}

Level 1: 66.7% of max level stats ➡ Level 60: 100% of max level stats

Level 64: 103.3% of max level stats ➡ Level 68: 106.7% of max level stats ➡ Level 72: 110% of max level stats

Each level until Level 60 adds about $\frac{5}{9}$% of max level stats, each bonus level beyond Level 60 adds about $\frac{5}{6}$% of max level stats.

Rare

\begin{align*} stat_x = stat_{40} \cdot \begin{cases} \frac{2}{3} + \frac{1}{3} \cdot \frac{x - 1}{39} & \text{if}\;x \leq 40 \\ 1 + \frac{5}{9} \cdot (x - 40) & \text{if}\;x > 40 \end{cases} \end{align*}

Level 1: 66.7% of max level stats ➡ Level 40: 100% of max level stats

Level 46: 103.3% of max level stats ➡ Level 52: 106.7% of max level stats ➡ Level 58: 110% of max level stats

Each level until Level 60 adds about $\frac{5}{6}$% of max level stats, each bonus level beyond Level 40 adds about $\frac{5}{9}$% of max level stats.


1) masterdata.db, table m_card_parameter

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calculations/card-level.txt · Last modified: 2021/02/18 17:05 by Suyooo