Player Progression Curve Calculator
Design player level progression curves by calculating XP requirements per level using linear, polynomial, or exponential scaling models used in RPG and game design.
Polynomial: power exponent (e.g. 2). Exponential: multiplier per level (e.g. 1.1). Linear: XP increment per level.
Results will appear here.
Formulas
Linear: XP(n) = BaseXP + Increment × (n − 2)
XP per level increases by a fixed amount each level.
Polynomial (Power): XP(n) = BaseXP × (n − 1)exponent
Classic RPG formula. Exponent = 2 gives quadratic growth (used in many JRPGs).
Exponential: XP(n) = BaseXP × factor(n − 2)
XP multiplies by a constant factor each level. Factor = 1.1 means 10% more XP per level.
Cumulative XP to Level N: Σ XP(i) for i = 2 to N
Assumptions & References
- Level 1 is the starting level; XP to reach Level 2 equals Base XP.
- Polynomial exponent of 2.0 replicates the classic D&D / JRPG quadratic curve.
- Exponential factor must be > 1.0 to ensure increasing XP requirements.
- Linear increment can be 0 for flat XP-per-level (uniform progression).
- 50% XP midpoint indicates where half the total grind occurs — useful for pacing analysis.
- Reference: Rollings & Adams, Game Design (2003); Schell, The Art of Game Design (2008).
- Max level capped at 100 for performance; all XP values rounded to nearest integer.