A 13 team round robin runs 13 rounds with 6 matches per round and 78 matches in total — every team plays every other team exactly once. Because 13 is an odd number, one team sits out each round, so each team gets exactly one bye.
Round 1: Team 1 — bye, Team 2 vs Team 13, Team 3 vs Team 12, Team 4 vs Team 11, Team 5 vs Team 10, Team 6 vs Team 9, Team 7 vs Team 8
Round 2: Team 1 vs Team 13, Team 12 — bye, Team 2 vs Team 11, Team 3 vs Team 10, Team 4 vs Team 9, Team 5 vs Team 8, Team 6 vs Team 7
Round 3: Team 1 vs Team 12, Team 13 vs Team 11, Team 10 — bye, Team 2 vs Team 9, Team 3 vs Team 8, Team 4 vs Team 7, Team 5 vs Team 6
Round 4: Team 1 vs Team 11, Team 12 vs Team 10, Team 13 vs Team 9, Team 8 — bye, Team 2 vs Team 7, Team 3 vs Team 6, Team 4 vs Team 5
Round 5: Team 1 vs Team 10, Team 11 vs Team 9, Team 12 vs Team 8, Team 13 vs Team 7, Team 6 — bye, Team 2 vs Team 5, Team 3 vs Team 4
Round 6: Team 1 vs Team 9, Team 10 vs Team 8, Team 11 vs Team 7, Team 12 vs Team 6, Team 13 vs Team 5, Team 4 — bye, Team 2 vs Team 3
Round 7: Team 1 vs Team 8, Team 9 vs Team 7, Team 10 vs Team 6, Team 11 vs Team 5, Team 12 vs Team 4, Team 13 vs Team 3, Team 2 — bye
Round 8: Team 1 vs Team 7, Team 8 vs Team 6, Team 9 vs Team 5, Team 10 vs Team 4, Team 11 vs Team 3, Team 12 vs Team 2, Team 13 — bye
Round 9: Team 1 vs Team 6, Team 7 vs Team 5, Team 8 vs Team 4, Team 9 vs Team 3, Team 10 vs Team 2, Team 11 — bye, Team 12 vs Team 13
Round 10: Team 1 vs Team 5, Team 6 vs Team 4, Team 7 vs Team 3, Team 8 vs Team 2, Team 9 — bye, Team 10 vs Team 13, Team 11 vs Team 12
Round 11: Team 1 vs Team 4, Team 5 vs Team 3, Team 6 vs Team 2, Team 7 — bye, Team 8 vs Team 13, Team 9 vs Team 12, Team 10 vs Team 11
Round 12: Team 1 vs Team 3, Team 4 vs Team 2, Team 5 — bye, Team 6 vs Team 13, Team 7 vs Team 12, Team 8 vs Team 11, Team 9 vs Team 10
Round 13: Team 1 vs Team 2, Team 3 — bye, Team 4 vs Team 13, Team 5 vs Team 12, Team 6 vs Team 11, Team 7 vs Team 10, Team 8 vs Team 9
The circle method pairs the 13 entrants across two rows, then holds one fixed and rotates the rest one position per round. After 13 rotations every pairing has happened once, which is why the total is 78 matches (13 × 12 ÷ 2).
At about 15 minutes per game to 11 points, 13 rounds take roughly 195 minutes, provided all 6 matches of a round run at once. With half the courts, double the estimate.
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