Top Tips For Chess Organisers/All-play-all Tournaments and the Berger Tables

Berger Tables

3-4 teams

Round 1		Round 2		Round 3
H	A	H	A	H	A
1	(4)	1	2	3	1
2	3	(4)	3	2	(4)

5-6 teams

Round 1		Round 2		Round 3		Round 4		Round 5
H	A	H	A	H	A	H	A	H	A
1	(6)	1	2	3	1	1	4	5	1
2	5	5	3	4	5	2	3	4	2
3	4	(6)	4	2	(6)	(6)	5	3	(6)

7-8 teams

Round 1		Round 2		Round 3		Round 4		Round 5		Round 6		Round 7
H	A	H	A	H	A	H	A	H	A	H	A	H	A
1	(8)	1	2	3	1	1	4	5	1	1	6	7	1
2	7	7	3	4	7	2	3	4	2	2	5	6	2
3	6	6	4	5	6	7	5	6	7	3	4	5	3
4	5	(8)	5	2	(8)	(8)	6	3	(8)	(8)	7	4	(8)

Each team plays each other team in ascending numerical order, alternating colours/venues. When a team would be scheduled to play itself, it instead plays the highest-numbered team. This formula gives you two ways to generate each pairing - once from the point of view of each team.