Linear Casual
50 · level
Casual
Constant XP per level. Friendly for mobile and idle games.
L25 1.3K·L50 2.5K
≈ 8 min to L50
// XP & Level Progression
49 XP curves
for your next game
Interactive level-progression formulas with copy-paste Luau modules. Linear grinds, quadratic ramps, Pokémon canonicals, RuneScape, Minecraft, exponential walls. Pick the feel that matches your game.
49 curves·Levels 1 → 50 plotted·MIT. Copy & ship
XP / minute
Each card shows time-to-level-50 at this rate. Set it to match how fast your game awards XP. The Luau modules below stay the same; pacing depends on how much XP your gameplay grants, not the curve.
family:
feel:
Linear Standard
100 · level
Standard
Steady 100 XP per level. Easy to communicate to players.
L25 2.5K·L50 5.0K
≈ 17 min to L50
Linear Strong
200 · level
Standard
Linear but heftier. Fits arcade ladders.
L25 5.0K·L50 10.0K
≈ 33 min to L50
Linear Grind
500 · level
Grindy
Each level always costs 500 XP. Pure grind.
L25 12.5K·L50 25.0K
≈ 1.4 hr to L50
Quadratic (Closed-Form)
32 · level² − 32 · level
Standard
Smooth quadratic ramp with a closed-form level solver. No binary search needed.
L25 19.2K·L50 78.4K
≈ 4.4 hr to L50
Triangular
50 · level · (level + 1) / 2
Standard
Classic n·(n+1)/2. Symmetric ramp used by JRPGs.
L25 16.3K·L50 63.8K
≈ 3.5 hr to L50
Quadratic Light
10 · level²
Casual
Gentle quadratic. Onboarding-friendly.
L25 6.3K·L50 25.0K
≈ 1.4 hr to L50
Quadratic Standard
50 · level²
Standard
Balanced quadratic. Works for most RPGs.
L25 31.3K·L50 125.0K
≈ 6.9 hr to L50
Quadratic Strong
100 · level² − 50 · level
Grindy
Quadratic with linear damping. Late game gets meaty.
L25 61.3K·L50 247.5K
≈ 14 hr to L50
Cubic Gentle
0.4 · level³
Standard
Cubic with a soft constant. Feels fair for grinders.
L25 6.3K·L50 50.0K
≈ 2.8 hr to L50
Cubic Standard
level³
Grindy
Pokémon Medium-Fast cousin. Cubic growth.
L25 15.6K·L50 125.0K
≈ 6.9 hr to L50
Cubic Heavy
1.25 · level³
Brutal
Slow-grind cubic. Reserve for high-prestige modes.
L25 19.5K·L50 156.3K
≈ 8.7 hr to L50
Quartic Brutal
0.05 · level⁴
Brutal
Quartic walls. Every level past mid-game is a project.
L25 19.5K·L50 312.5K
≈ 17 hr to L50
Quintic Extreme
0.005 · level⁵
Brutal
Endgame-only. Designed for cap-fishing economies.
L25 48.8K·L50 1.6M
≈ 3.6 days to L50
Power 1.5
30 · level^1.5
Casual
Sub-quadratic. Gentle progress all the way through.
L25 3.8K·L50 10.6K
≈ 35 min to L50
Power 1.8
25 · level^1.8
Standard
Between linear and quadratic. Natural pacing.
L25 8.2K·L50 28.6K
≈ 1.6 hr to L50
Power 2.2
12 · level^2.2
Standard
Slightly steeper than quadratic. Feels rewarding mid-game.
L25 14.3K·L50 65.6K
≈ 3.6 hr to L50
Power 2.5
5 · level^2.5
Grindy
Borderlands-flavoured grind without going full cubic.
L25 15.6K·L50 88.4K
≈ 4.9 hr to L50
Power 2.8
3 · level^2.8
Grindy
Almost cubic. Used by loot grinders for late-game walls.
L25 24.6K·L50 171.5K
≈ 9.5 hr to L50
Exponential Mild
50 · (1.05^(level-1) − 1) / 0.05
Casual
Geometric series at r=1.05. Smooth, predictable acceleration.
L25 2.2K·L50 9.9K
≈ 33 min to L50
Exponential Standard
80 · (1.10^(level-1) − 1) / 0.10
Standard
10% step. The default exponential most idle games ship with.
L25 7.1K·L50 84.6K
≈ 4.7 hr to L50
Exponential Strong
100 · (1.15^(level-1) − 1) / 0.15
Grindy
15% step. Hard wall arrives around level 30.
L25 18.4K·L50 627.5K
≈ 1.5 days to L50
Exponential Steep
120 · (1.20^(level-1) − 1) / 0.20
Brutal
20% step. Use for prestige tiers with multipliers.
L25 47.1K·L50 4.5M
≈ 11 days to L50
Exponential Brutal
150 · (1.25^(level-1) − 1) / 0.25
Brutal
25% step. Diablo-esque late game.
L25 126.5K·L50 33.6M
≈ 2.6 mo to L50
Doubling
10 · (2^(level-1) − 1)
Brutal
Each level doubles the previous gap. Halt-style ascension.
L25 167.8M·L50 5629499.5B
≈ >1M yr to L50
Pokémon Fast
0.8 · n³
Casual
Gen-III Fast growth group. 0.8·n³. Quick to mid-game.
L25 12.5K·L50 100.0K
≈ 5.6 hr to L50
Pokémon Medium-Fast
n³
Standard
Plain n³. The default for most starters.
L25 15.6K·L50 125.0K
≈ 6.9 hr to L50
Pokémon Medium-Slow
1.2·n³ − 15·n² + 100·n − 140
Grindy
Slow start, fast middle, slow end. The most natural feel.
L25 11.7K·L50 117.4K
≈ 6.5 hr to L50
Pokémon Slow
1.25 · n³
Grindy
1.25·n³. Dragonair-flavoured grind.
L25 19.5K·L50 156.3K
≈ 8.7 hr to L50
Pokémon Erratic
piecewise · n³
Standard
Piecewise curve. Easy early, plateaus late.
L25 23.4K·L50 125.0K
≈ 6.9 hr to L50
Pokémon Fluctuating
piecewise · n³
Grindy
Piecewise. Slow early, easy mid, hard late.
L25 12.2K·L50 142.5K
≈ 7.9 hr to L50
RuneScape
Σ ⌊i + 300·2^(i/7)⌋ / 4
Grindy
The cult-classic: Σ floor(i + 300·2^(i/7)) / 4.
L25 7.8K·L50 101.3K
≈ 5.6 hr to L50
WoW Vanilla
8 · level² + 75 · level
Grindy
Approximation of vanilla WoW levelling tempo.
L25 6.9K·L50 23.8K
≈ 1.3 hr to L50
Borderlands 2
60 · (level + 1)^2.8
Brutal
60·(level+1)^2.8. The looter-shooter classic.
L25 549.6K·L50 3.6M
≈ 8.4 days to L50
Diablo II
500 · 1.5^(level-1)
Brutal
Steep exponential late-game (approximation).
L25 16.8M·L50 425.1B
≈ 2.7k yr to L50
Minecraft
piecewise polynomial
Standard
Vanilla Java: piecewise polynomial at 17 and 32.
L25 910·L50 5.3K
≈ 18 min to L50
League of Legends
180 · level + 20 · level²
Standard
Sub-quadratic. Designed for ~30-min matches at any level.
L25 17.0K·L50 59.0K
≈ 3.3 hr to L50
Terraria-style
300 · level^1.6
Standard
Front-loaded crafting feel. Fast to mid, plateaus near cap.
L25 51.7K·L50 156.8K
≈ 8.7 hr to L50
Logarithmic
200 · level · ln(level + 1)
Casual
Grows by ln. Onboarding ladders, skill-tier displays.
L25 16.3K·L50 39.3K
≈ 2.2 hr to L50
Square-Root
1000 · √level − 1000
Casual
Front-loaded difficulty. Gets easier over time.
L25 4.0K·L50 6.1K
≈ 20 min to L50
Logistic S-Curve
200000 / (1 + e^(−0.18·(level − 30)))
Grindy
Slow → fast → slow. Perfect for season-pass tiers.
L25 57.8K·L50 194.7K
≈ 11 hr to L50
Soft-Cap Polynomial
150 · level^1.3
Standard
level^1.3. Between linear and quadratic, never spikes.
L25 9.8K·L50 24.3K
≈ 1.3 hr to L50
Linear + Quadratic
50 · level + 5 · level²
Standard
Blends a constant grind with quadratic late-game scaling.
L25 4.4K·L50 15.0K
≈ 50 min to L50
Quadratic + Cubic
20 · level² + 0.5 · level³
Grindy
Mid-grind quadratic with a cubic wall after level 25.
L25 20.3K·L50 112.5K
≈ 6.3 hr to L50
Plateau Steps
30 · level² + 200 · ⌊level / 10⌋
Standard
Quadratic base with rest plateaus every 10 levels.
L25 19.1K·L50 76.0K
≈ 4.2 hr to L50
Two-Phase
level ≤ 20 ? 200·level : 4000 + (level−20)³
Grindy
Linear early game; cubic ramp past level 20.
L25 4.1K·L50 31.0K
≈ 1.7 hr to L50
Prestige Loop
50 · (level mod 100)² · (1 + ⌊level/100⌋)
Standard
Quadratic that resets at level 100 with a prestige multiplier.
L25 31.3K·L50 125.0K
≈ 6.9 hr to L50
Early Wall
300·level² for level ≤ 5, else 7500 + 400·(level−5)
Standard
Steep first 5 levels, then linear. Tutorial bottleneck.
L25 15.5K·L50 25.5K
≈ 1.4 hr to L50
Late Wall
100·level for level ≤ 30, else 3000 + 100·(1.2^(level−30) − 1)/0.2
Grindy
Gentle linear to level 30, exponential past. Endgame raids.
L25 2.5K·L50 21.7K
≈ 1.2 hr to L50
# How the Luau modules work
The Level API
Every module exports the same Level table:
calculate(xp)current level for a given XP totalxpRequired(level)cumulative XP needed to reach a levelxpGap(xp)XP between current and next levelprogressPercentage(xp)0–1 progress to next levelgetOverview(xp)all of the above in one table
How to use it
- Click View Luau on a curve and copy the module.
- Drop it into
ReplicatedStorageas a ModuleScript. - Require it from server or client and call
Level.getOverview(xp).
The only line that changes between curves is Level.xpRequired. Swap curves without touching the rest of your code.