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SPORTS ARITHMETIC

Baseball Magic Number Calculator

Compare a focal team with rival win/loss records using pairwise strict-first-place magic numbers and games-behind arithmetic.

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Result

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Calculate each rival’s maximum possible wins and the combined focal wins/rival losses needed to finish strictly ahead.

    Pairwise magic=max(0,scheduled games+1−focal wins−rival losses)

    Worked example

    With a 162-game schedule, a focal record of 90–60 and a rival record of 87–63 give a pairwise magic number of 10 and a 3-game games-behind difference.

    Assumptions and input details

    One shared schedule length, whole wins/losses and no tied games. Every row is an independent strict-win-total comparison. The largest number among listed rivals is displayed. Head-to-head schedule constraints, incomplete rival lists, ties, wild-card rules and tiebreakers are excluded, so this is not an official playoff-clinch determination.

    References: MLB: magic-number concept and pairwise formula

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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