Tournament Matches Calculator (Knockout & Round-Robin)
Tournament organisers — football, esports, board-game clubs, office ping-pong — face the same first question: how many matches do we have to schedule? This tool applies the standard bracket and round-robin formulas to return the total match and round counts for four common formats: single-elimination (N − 1 matches, ⌈log₂ N⌉ rounds, next-power-of-2 bracket with bye count), double-elimination (2·(N − 1) to 2·(N − 1) + 1, depending on whether the grand-final bracket resets), single round-robin (N·(N − 1) ⁄ 2 matches, N − 1 rounds for even N or N rounds with one bye per round for odd N) and double round-robin. Supports up to 4096 participants — enough for World Cup, NCAA brackets and large esports LANs.
Enter an integer between 2 and 4096.
Single-elimination
— matches
- Rounds
- —
- Bracket size
- —
- Byes
- —
Double-elimination
— matches
Min / Max
Round-robin (single)
— matches
— rounds
Round-robin (double)
— matches
— rounds
Formulas: single-elim = N − 1; double-elim = 2·(N − 1) to 2·(N − 1) + 1; single round-robin = N·(N − 1) ⁄ 2.
Formula
single elim = N − 1 double elim = 2·(N − 1) … 2·(N − 1) + 1 round-robin (single) = N·(N − 1) ⁄ 2 bracket = 2^⌈log₂ N⌉ byes = bracket − N
- · References: ITTF Handbook 2023 §4 (Round Robin); FIDE Tournament Rules; Wikipedia "Single-elimination tournament" / "Double-elimination tournament"; NCAA Bracket Selection Procedures.
- · Single elimination: every match eliminates exactly one team, so a tournament with N teams needs exactly N − 1 matches to crown a champion regardless of bracket shape. The bracket size must be the next power of two (4, 8, 16, 32, …); (bracket − N) is the number of first-round byes given to the top seeds, who skip directly to round two.
- · Double elimination: each team needs two losses to be out. Minimum matches = 2·(N − 1); maximum = 2·(N − 1) + 1 when the losers' bracket champion wins the grand final and forces a "bracket reset". Far more forgiving than single elim — used by Dota 2 The International, Street Fighter EVO Top 8, etc.
- · Single round-robin: every pair plays once, so matches = C(N, 2) = N·(N − 1) ⁄ 2. Rounds: N − 1 when N is even (all teams play each round); N when N is odd (one team has a bye each round). Used by the FIFA World Cup group stage, ATP Year-End Finals, classical chess round-robins.
- · Double round-robin: every pair plays twice (home and away). Used by European football leagues — Premier League: 20 teams → 380 matches = 38 rounds — and the NBA regular-season divisional structure.
- · Other formats (not in this tool): (1) Swiss system — roughly N·log₂ N matches, no elimination, pair after each round by score — used in chess, Magic: The Gathering and large open events; (2) groups + knockout (World Cup model) — 32 teams in 8 groups (48 group-stage matches) + 16-team knockout (16 matches) = 64 total; (3) triple elimination is rare; (4) king-of-the-hill / ladder formats have no fixed match count.
- · Time budget example: a board game with 30-minute rounds, 64 teams in single-elim = 63 matches; with 4 tables playing simultaneously, 16 rounds × 30 min ≈ 8 hours. 64 teams in single round-robin = 2,016 matches; with 4 tables that is 504 hours of play time. This is why tournaments with > 32 teams almost never use pure round-robin and prefer group-stage + knockout hybrids.
- · Esports LAN conventions: 8 teams → double-elim (most fair, only 14–15 matches); 16 teams → double-elim or Swiss; 32 teams → double-elim with closed qualifiers; 64+ teams → multi-stage (online qualifier → LAN play-in → main event double-elim).
Frequently asked
I have 13 teams entering — which format should I pick?
13 is an awkward number; every format has trade-offs: (1) single-elimination: 12 matches / 4 rounds / 16-bracket → 3 byes. Fastest, but each team is only guaranteed one match. (2) double-elimination: 24–25 matches / 16-bracket → still 3 byes; each team gets at least two matches. (3) single round-robin: 78 matches / 13 rounds → 12 games per team, maximum fairness, longest. (4) Swiss system over 5 rounds: ~33 matches (6 per round + 1 bye) — fairness close to round-robin, time close to elimination. Pick: (a) one-day amateur → single elim; (b) committed weekend → double elim; (c) multi-week league → round-robin; (d) one-day fair + multi-game → 5-round Swiss. For 13 teams the sweet spot is usually Swiss.
Why does the FIFA World Cup use groups + knockout — why not pure single-elim?
A pure single-elim 32-team World Cup would be just 31 matches across 5 rounds — far too few for the broadcast economics (each match draws stadiums of 50,000+ and global TV audiences in the hundreds of millions). Equally important, single elim risks first-round "blockbuster pairings" where top sides eliminate each other immediately, hurting commercial interest. The hybrid format — 8 groups × 4 teams single round-robin = 48 group matches (guarantees every team three appearances) + 16-team knockout = 16 matches = 64 total (the 2026 expansion to 48 teams in 12 groups pushes that above 80). Benefits: (1) more matches → more broadcast revenue; (2) top sides have a 3-match buffer, so a single bad day does not end an entire campaign; (3) every entrant gets at least three games of exposure; (4) the final group-stage round is famously tense. Cost: the tournament window stretches from 17 to 30 days.
In round-robin, every team plays the same number of matches — is the order truly fair?
In theory the matches and opponents are equal, but the schedule order has real effects — academia calls these "scheduling effects": (1) back-to-back tough opponents: two hard matches in a row create fatigue that hurts the third match, with statistical win-rate ~5% lower than average; (2) home/away clustering: Premier League sides play 19 home and 19 away, but starting with 4 home matches vs 4 away matches affects early-season form; (3) playing teams that are already eliminated or already champion — motivation gap matters; (4) Berger tables (used in chess round-robin) standardise the pairing so that opponent strength is evenly distributed across the tournament; (5) the FIFA "seeded draw" uses world rankings to ensure each group gets one top, one mid and one low-ranked side plus one random — managing both fairness and competitive narrative. Practical advice: for self-organised round-robins use Berger pairing tables (widely available online) — they guarantee that home/away alternates every two matches and that opponent strength is spread evenly.
Related tools
Tip & Service Charge Calculator
Hong Kong service charge, extra tipping and bill-splitting in one tool.
Electricity Bill Calculator
Estimate monthly bill using the latest CLP / HKE tariff.
Fuel Cost Calculator
Estimate the fuel cost of a trip from distance, vehicle consumption and fuel price (one-way or round-trip).
Bill Splitter (round-up edition)
Enter the bill, service charge, tip and party size to get each person’s share — then round each share up to the nearest $1 / $5 / $10 / $20 / $50 to make cash collection painless.
Discount Calculator
Enter the original price and a percent off (or fixed amount off) to see the final price, money saved and effective discount.
Cooking Measurement Converter
Convert between cups, tablespoons, teaspoons, millilitres, ounces and grams — for following overseas recipes or halving / doubling portions.
Unit Price Comparison Calculator
Compare two products by price-per-unit (per g, kg, ml, L or each). Enter price + amount + unit for each — see which is cheaper and by how much.
Hourly ↔ Salary Converter
Convert hourly wage to monthly / annual salary or back — with customisable hours per week and weeks worked per year. Works for part-time, freelance and salaried jobs.
Dog Age Calculator (Dog Years to Human Years)
Estimate a dog's human-equivalent age from its actual age and size (small / medium / large / giant), with both the classic "×7" rule and modern research curves side by side.
Pizza Order Calculator
How many people, how hungry, and how many slices per pizza? Get the exact number of pizzas to order — no leftovers, no shortages.
Tile / Flooring Calculator
Enter room dimensions and tile size to estimate the number of tiles needed (including a configurable waste allowance) — for floor or wall jobs.
Paint Coverage Calculator
From room length, width and height, door and window area, paint coverage per litre and the number of coats, estimate how many litres of paint you need.
Coffee Brew Ratio Calculator
Pick a brew method (pour-over, French press, cold brew or espresso) and a desired output, and get the exact coffee dose and water weight to match the recommended ratio.
Wallpaper Rolls Calculator
Enter the room size, roll dimensions and pattern repeat to get the number of wallpaper rolls to order (with pattern-match waste included).
Smoking Cost & Quit-Savings Calculator
Enter cigarettes per day, price per pack and years smoked — see your total spend and how much you could save by quitting.
Roof Pitch Calculator
Convert any roof rise / run into the X-in-12 pitch notation used by builders, plus the slope angle in degrees, slope percentage and the rafter-length multiplier.
Concrete Slab Volume Calculator
Enter slab length, width and thickness with a waste factor and get the concrete volume (m³, yd³, ft³) plus the approximate number of 25 kg, 40 kg or 80 lb pre-mix bags required.
Stair Stringer / Step Calculator
Enter total rise and a target riser height to get the number of risers, actual riser height, tread depth, stringer length, pitch and a side-by-side compliance check against the IRC, IBC and UK Approved Document K.
Air Conditioner BTU Sizing Calculator
Enter room area, ceiling height, sun exposure, occupants and climate to find the recommended air-conditioner BTU rating / horsepower.
Wedding Anniversary Year Calculator
Enter your wedding date to see the anniversary number, days until the next one, and the traditional / modern gift theme (paper, silver, gold…).
Oven Temperature Converter (°C / °F / Gas Mark)
Convert oven temperatures between Celsius, Fahrenheit and British gas marks, with descriptive labels (slow / moderate / hot / very hot).
Recipe Scaling Calculator
Enter original servings and desired servings to scale every ingredient proportionally, with friendly rounding to common cookware-sized amounts.
Cat Age (Cat Years) Calculator
Enter your cat's real age to estimate the human-equivalent age using the standard veterinary formula and see the matching life stage (kitten, adult, senior, geriatric).
Cost Per Use (Cost Per Wear) Calculator
Enter price, expected number of uses and upkeep cost to compute true cost per use — see whether that item is really worth it.
Naismith's Rule Hiking Time Calculator
Estimate hiking time with the classic Naismith's Rule (1 h per 5 km plus 1 h per 600 m of ascent), with optional descent and rest-time corrections.
Power-to-Weight Ratio Calculator
Enter power (W / kW / hp) and weight (kg / lb) to instantly compute W/kg, hp/kg and hp/lb ratios with cyclist and car performance bands.
EV Charging Time Calculator
Enter battery capacity (kWh), charger power (kW) and the start / target state of charge to estimate how long an EV charging session takes, with adjustments for charging efficiency and the constant-current → constant-voltage taper above 80 %.
ABV from Specific Gravity (Homebrew)
Enter the original gravity (OG) and final gravity (FG) of a beer or wine ferment and the calculator returns the standard homebrewing ABV estimate ABV ≈ (OG − FG) × 131.25, plus apparent attenuation and a calorie estimate.
Mulch / Soil / Gravel Coverage Calculator
Enter the area and target depth to compute the volume of mulch, soil or gravel needed (in litres, m³ and cubic yards), and estimate bag count and total cost.
Aquarium Volume Calculator
Enter the dimensions of your tank — rectangular, cylindrical or bow-front — to get the water volume in litres, US gallons, UK gallons and water weight, with a fill-percentage adjustment for substrate and décor.
Pizza Dough Hydration Calculator (Baker's Percentage)
Enter flour weight and target hydration to get water, salt and yeast quantities via baker's percentage — with Neapolitan, NY and Sicilian style presets.
Stacked / Double Discount Calculator
Enter an original price and two discounts applied in sequence (e.g. "30% off then an extra 10%") — the tool returns the final price, the equivalent single discount and the savings, sidestepping the common mistake of simply adding the percentages.
Screen Size Calculator (Diagonal → Width × Height)
Enter a TV or monitor diagonal and an aspect ratio (e.g. 16:9, 21:9) and the tool returns the actual width, height and area in both inches and centimetres — handy for furniture planning, wall-mount fit and seeing why a "55-inch" is so much bigger than a "50-inch" in area.
Flight CO₂ Footprint Calculator (DEFRA 2024 factors)
Enter great-circle distance (km / mi / nm), cabin class and segment type (domestic / short / long-haul); the tool applies DEFRA 2024 emission factors to estimate per-passenger CO₂-equivalent kilograms, total trip emissions and tree-month offsets — the standard checklist for business-travel reporting, personal carbon budgets and offset-purchase decisions.
VAT / GST Calculator (Add or Extract Tax)
Enter an amount and a VAT / GST rate; the tool computes both directions — adding tax to a net price, and extracting the tax already embedded in a gross price. Works for any country that uses VAT / GST / IVA / TVA (UK 20%, EU 17–27%, AU & SG GST, India GST, etc.).
Solar Panel System Size Calculator
Enter daily energy use (kWh), peak sun hours, panel wattage and overall system efficiency; the tool returns the required array size in kW and the number of panels needed — a starter sizing tool for rooftop PV, off-grid cabins and RV / van conversions.
Air Changes per Hour (ACH) Calculator
Enter room L × W × H and target air changes per hour; the tool returns the required ventilation airflow in CFM, m³/h and L/s. Built-in ASHRAE 62.1 presets (bedroom, kitchen, conference room, gym, etc.) make it easy to size extract fans, supply diffusers and HEPA purifiers.
Bicycle Gear Inches Calculator
Enter chainring teeth, sprocket (cog) teeth and wheel size (700C, 26", 29er, etc.); the tool returns classic gear inches, metres of development and speed for any cadence — cyclists' go-to comparison for climbing-friendly vs. high-speed gear setups.
Vertical Jump Calculator (Hang Time)
Enter the hang time of a jump (seconds); the tool applies the free-fall formula h = ⅛ g t² to give the vertical jump height (cm), and also reports the take-off velocity and apex time — used in basketball, volleyball, plyometric training and fitness testing.
Swimming Pace Calculator (per 100 m / 100 yd)
Enter total swim time and distance (metres or yards); the tool returns pace per 100 m (or 100 yd) and predicts completion time for any target distance — essential for pool training, triathlon and masters racing.
Chess Elo Expected Score Calculator
Enter two players' Elo ratings (chess, online games or any Elo-style ladder); the tool uses the FIDE formula E = 1 ⁄ (1 + 10^((Rb − Ra) ⁄ 400)) to return each player's expected score and the rating change after a chosen result and K-factor — used by chess players, esports competitors and Glicko/USCF tournament preparation.
Fence Posts Calculator
Enter total fence length, spacing between posts and number of gates; the tool returns post count (line + corner + end), rail count and panel sections — the classic "fence-post problem" reduced to one click for homeowners, farms and contractors estimating materials.