MTG Mana Curve Calculator
Analyze your Magic: The Gathering deck's mana curve, calculate average converted mana cost (CMC), and get land count recommendations based on your curve.
Formulas Used
Average CMC:
avgCMC = Σ(CMCi × counti) / totalSpells
Where CMCi is the mana value for each slot (0, 1, 2, 3, 4, 5, and user-defined average for 6+).
Land Recommendation (Frank Karsten, 2022):
Lands60 = 19.59 + 1.90 × avgCMC
Landsscaled = Lands60 × (deckSize / 60), rounded to nearest integer.
Clamped to format-appropriate ranges: Limited 14–20, 60-card 18–28, Commander 33–45.
Opening Hand Land Probability (Hypergeometric Distribution):
P(X = k) = C(K, k) × C(N−K, n−k) / C(N, n)
Where N = deck size, K = land count, n = 7 (opening hand size), k = number of lands drawn.
P(at least 1 land) = 1 − P(X = 0)
P(ideal 2–3 lands) = P(X = 2) + P(X = 3)
Assumptions & References
- Land recommendation formula derived from Frank Karsten's 2022 article on Channel Fireball: "How Many Lands Do You Need in Your Deck?"