MTG Mana Curve Calculator
ANA›Life Services Authority›National Calculator Authority›MTG Mana Curve Calculator
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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.
CMC 0 (Zero-cost spells/lands count):
CMC 1 (One-drops count):
CMC 2 (Two-drops count):
CMC 3 (Three-drops count):
CMC 4 (Four-drops count):
CMC 5 (Five-drops count):
CMC 6+ (Six or more drops count):
Average CMC of 6+ spells (if any):
Deck Size (cards total including lands):
Format:
Standard / Modern (60 cards) Limited / Draft (40 cards) Commander / EDH (100 cards)
Calculate Mana Curve Enter your spell counts above and click Calculate.
function mtgCalc() { var cmc0 = parseFloat(document.getElementById('mtg-cmc0').value) || 0; var cmc1 = parseFloat(document.getElementById('mtg-cmc1').value) || 0; var cmc2 = parseFloat(document.getElementById('mtg-cmc2').value) || 0; var cmc3 = parseFloat(document.getElementById('mtg-cmc3').value) || 0; var cmc4 = parseFloat(document.getElementById('mtg-cmc4').value) || 0; var cmc5 = parseFloat(document.getElementById('mtg-cmc5').value) || 0; var cmc6p = parseFloat(document.getElementById('mtg-cmc6plus').value) || 0; var cmc6avg = parseFloat(document.getElementById('mtg-cmc6avg').value) || 7; var deckSize= parseFloat(document.getElementById('mtg-decksize').value); var format = parseFloat(document.getElementById('mtg-format').value);
// --- Validation --- var errors = []; if (isNaN(deckSize) || deckSize 100) errors.push("Deck size must be between 40 and 100."); if (cmc0 deckSize) errors.push("Total spells (" + totalSpells + ") exceed deck size (" + deckSize + ").");
if (errors.length > 0) { document.getElementById('mtg-result').innerHTML = 'Error: ' + errors.join(' ') + ''; return; }
// --- Average CMC Calculation --- // avgCMC = (sum of CMC * count for each slot) / totalSpells // For 6+ slot we use the user-supplied average CMC var totalMana = (cmc0 * 0) + (cmc1 * 1) + (cmc2 * 2) + (cmc3 * 3) + (cmc4 * 4) + (cmc5 * 5) + (cmc6p * cmc6avg); var avgCMC = totalMana / totalSpells;
// --- Land Recommendation --- // Frank Karsten's formula (2022 update): // Lands = 19.59 + 1.90 * avgCMC (for 60-card decks) // Scaled proportionally for other deck sizes: // Lands_scaled = Lands_60 * (deckSize / 60) // For Commander (100 cards), the community standard is ~37-38 lands, // so we use the same proportional scaling but clamp to known ranges. var landsRaw60 = 19.59 + (1.90 * avgCMC); var landsScaled = landsRaw60 * (deckSize / 60); var landsRecommended = Math.round(landsScaled);
// Clamp to sensible bounds per format var minLands, maxLands; if (deckSize = 1) = 1 - P(X = 0) = 1 - C(N-K, n) / C(N, n) // N = deckSize, K = landsRecommended, n = 7 (opening hand) // Using log-gamma for large combinations function logFactorial(n) { if (n n) return -Infinity; return logFactorial(n) - logFactorial(k) - logFactorial(n - k); } var N = deckSize, K = landsRecommended, n = 7; var logP0 = logComb(N - K, n) - logComb(N, n); var pAtLeastOneLand = (1 - Math.exp(logP0)) * 100;
// P(exactly 2-3 lands in opening 7) — "ideal" opening var pExact2 = Math.exp(logComb(K,2) + logComb(N-K, n-2) - logComb(N,n)) * 100; var pExact3 = Math.exp(logComb(K,3) + logComb(N-K, n-3) - logComb(N,n)) * 100; var pIdealOpen = pExact2 + pExact3;
// --- Bar chart (ASCII-style HTML) --- var counts = [cmc0, cmc1, cmc2, cmc3, cmc4, cmc5, cmc6p]; var labels = ['0','1','2','3','4','5','6+']; var maxCount = Math.max.apply(null, counts); var barHTML = 'Mana Curve Visualization:'; barHTML += ''; for (var i = 0; i 0 ? Math.round((counts[i] / maxCount) * 70) : 0; var pct = totalSpells > 0 ? ((counts[i]/totalSpells)*100).toFixed(1) : '0.0'; barHTML += ''; barHTML += '' + counts[i] + ''; barHTML += ''; barHTML += '' + labels[i] + ''; barHTML += ''; } barHTML += '';
// --- Output --- var html = '✅ Mana Curve Analysis'; html += 'Total Spells: ' + totalSpells + ''; html += 'Average CMC: ' + avgCMC.toFixed(2) + ''; html += 'Curve Archetype: ' + curveLabel + ''; html += '' + curveAdvice + '';
html += '🏗 Land Recommendation (Karsten Formula):'; html += ' Recommended Lands: ' + landsRecommended + ' / ' + deckSize + ' cards'; html += ' Remaining Non-Land Slots: ' + spellSlots + ''; if (totalSpells > spellSlots) { html += ' ⚠ Your spell count (' + totalSpells + ') exceeds available non-land slots (' + spellSlots + '). Consider trimming spells.'; } else if (totalSpells You have ' + (spellSlots - totalSpells) + ' open non-land slot(s) to fill.'; } else { html += ' ✅ Spell count perfectly fills non-land slots.'; } html += '';
html += '🎲 Opening Hand Probabilities (7 cards):'; html += ' P(at least 1 land): ' + pAtLeastOneLand.toFixed(1) + '%'; html += ' P(exactly 2 lands): ' + pExact2.toFixed(1) + '%'; html += ' P(exactly 3 lands): ' + pExact3.toFixed(1) + '%'; html += ' P(ideal 2–3 lands): ' + pIdealOpen.toFixed(1) + '%';
html += barHTML;
document.getElementById('mtg-result').innerHTML = html; }
#### 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?"
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