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Chris Fox's Chess Section


Berger Tables

The Berger Tables show one possible arrangement for an all-play-all tournament.

If it is decided that players (or teams) shall play each other twice, the fixture list will be repeated for the second half of the tournament with the black and white players (or home and away teams) reversed. In this case, it is recommended that the last two rounds of the first half of the schedule be switched, in order to avoid giving a player three consecutive games with the same colour or a team three consecutive matches either home or away.

If there is an odd number of players (or teams), the highest number counts as a bye.

3 or 4 Players

  1. 1-4, 2-3.
  2. 4-3, 1-2.
  3. 2-4, 3-1.

5 or 6 Players

  1. 1-6, 2-5, 3-4.
  2. 6-4, 5-3, 1-2.
  3. 2-6, 3-1, 4-5.
  4. 6-5, 1-4, 2-3.
  5. 3-6, 4-2, 5-1.

7 or 8 Players

  1. 1-8, 2-7, 3-6, 4-5.
  2. 8-5, 6-4, 7-3, 1-2.
  3. 2-8, 3-1, 4-7, 5-6.
  4. 8-6, 7-5, 1-4, 2-3.
  5. 3-8, 4-2, 5-1, 6-7.
  6. 8-7, 1-6, 2-5, 3-4.
  7. 4-8, 5-3, 6-2, 7-1.

9 or 10 Players

  1. 1-10, 2-9, 3-8, 4-7, 5-6.
  2. 10-6, 7-5, 8-4, 9-3, 1-2.
  3. 2-10, 3-1, 4-9, 5-8, 6-7.
  4. 10-7, 8-6, 9-5, 1-4, 2-3.
  5. 3-10, 4-2, 5-1, 6-9, 7-8.
  6. 10-8, 9-7, 1-6, 2-5, 3-4.
  7. 4-10, 5-3, 6-2, 7-1, 8-9.
  8. 10-9, 1-8, 2-7, 3-6, 4-5.
  9. 5-10, 6-4, 7-3, 8-2, 9-1.

11 or 12 Players

  1. 1-12, 2-11, 3-10, 4-9, 5-8, 6-7.
  2. 12-7, 8-6, 9-5, 10-4, 11-3, 1-2.
  3. 2-12, 3-1, 4-11, 5-10, 6-9, 7-8.
  4. 12-8, 9-7, 10-6, 11-5, 1-4, 2-3.
  5. 3-12, 4-2, 5-1, 6-11, 7-10, 8-9.
  6. 12-9, 10-8, 11-7, 1-6, 2-5, 3-4.
  7. 4-12, 5-3, 6-2, 7-1, 8-11, 9-10.
  8. 12-10, 11-9, 1-8, 2-7, 3-6, 4-5.
  9. 5-12, 6-4, 7-3, 8-2, 9-1, 10-11.
  10. 12-11, 1-10, 2-9, 3-8, 4-7, 5-6.
  11. 6-12, 7-5, 8-4, 9-3, 10-2, 11-1.

13 or 14 Players

  1. 1-14, 2-13, 3-12, 4-11, 5-10, 6-9, 7-8.
  2. 14-8, 9-7, 10-6, 11-5, 12-4, 13-3, 1-2.
  3. 2-14, 3-1, 4-13, 5-12, 6-11, 7-10, 8-9.
  4. 14-9, 10-8, 11-7, 12-6, 13-5, 1-4, 2-3.
  5. 3-14, 4-2, 5-1, 6-13, 7-12, 8-11, 9-10.
  6. 14-10, 11-9, 12-8, 13-7, 1-6, 2-5, 3-4.
  7. 4-14, 5-3, 6-2, 7-1, 8-13, 9-12, 10-11.
  8. 14-11, 12-10, 13-9, 1-8, 2-7, 3-6, 4-5.
  9. 5-14, 6-4, 7-3, 8-2, 9-1, 10-13, 11-12.
  10. 14-12, 13-11, 1-10, 2-9. 3-8, 4-7, 5-6.
  11. 6-14, 7-5, 8-4, 9-3, 10-2, 11-1, 12-13.
  12. 14-13, 1-12, 2-11, 3-10, 4-9, 5-8, 6-7.
  13. 7-14, 8-6, 9-5, 10-4, 11-3, 12-2, 13-1.

15 or 16 Players

  1. 1-16, 2-15, 3-14, 4-13, 5-12, 6-11, 7-10, 8-9.
  2. 16-9, 10-8, 11-7, 12-6, 13-5, 14-4, 15-3, 1-2.
  3. 2-16, 3-1, 4-15, 5-14, 6-13, 7-12, 8-11, 9-10.
  4. 16-10, 11-9, 12-8, 13-7, 14-6, 15-5, 1-4, 2-3.
  5. 3-16, 4-2, 5-1, 6-15, 7-14, 8-13, 9-12, 10-11.
  6. 16-11, 12-10, 13-9, 14-8, 15-7, 1-6, 2-5, 3-4.
  7. 4-16, 5-3, 6-2, 7-1, 8-15, 9-14, 10-13, 11-12.
  8. 16-12, 13-11, 14-10, 15-9, 1-8, 2-7, 3-6, 4-5.
  9. 5-16, 6-4, 7-3, 8-2, 9-1, 10-15, 11-14, 12-13.
  10. 16-13, 14-12, 15-11, 1-10, 2-9, 3-8, 4-7, 5-6.
  11. 6-16, 7-5, 8-4, 9-3, 10-2, 11-1, 12-15, 13-14.
  12. 16-14, 15-13, 1-12, 2-11, 3-10, 4-9, 5-8, 6-7.
  13. 7-16, 8-6, 9-5, 10-4, 11-3, 12-2, 13-1, 14-15.
  14. 16-15, 1-14, 2-13, 3-12, 4-11, 5-10, 6-9, 7-8.
  15. 8-16, 9-7, 10-6, 11-5, 12-4, 13-3, 14-2, 15-1.

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