Colors have been added to three pairing numbers to make them easier to track in the different tables.

11 or 12 players board order                           Players' Schedules

 Rd Bd: 1      2      3      4      5      6
 1:    1-12   7-6   11-2    8-5   10-3    9-4
 2:   12-7    2-1    6-8    3-11   5-9    4-10
 3:    2-12   8-7    1-3    9-6   11-4   10-5
 4:   12-8    3-2    7-9    4-1    6-10   5-11
 5:    3-12   9-8    2-4   10-7    1-5   11-6
 6:   12-9    4-3    8-10   5-2    7-11   6-1
 7:    4-12  10-9    3-5   11-8    2-6    1-7
 8:   12-10   5-4    9-11   6-3    8-1    7-2
 9:    5-12  11-10   4-6    1-9    3-7    2-8
10:   12-11   6-5   10-1    7-4    9-2    8-3
11:    6-12   1-11   5-7    2-10   4-8    3-9
 Plr: Rd:1   2   3   4   5   6   7   8   9  10  11
  1.    W12 B2  W3  B4  W5  B6  W7  B8  W9  B10 W11
  2.    B11 W1  W12 B3  W4  B5  W6  B7  W8  B9  W10
  3.    B10 W11 B1  W2  W12 B4  W5  B6  W7  B8  W9
  4.    B9  W10 B11 W1  B2  W3  W12 B5  W6  B7  W8
  5.    B8  W9  B10 W11 B1  W2  B3  W4  W12 B6  W7
  6.    B7  W8  B9  W10 B11 W1  B2  W3  B4  W5  W12
  7.    W6  B12 B8  W9  B10 W11 B1  W2  B3  W4  B5
  8.    W5  B6  W7  B12 B9  W10 B11 W1  B2  W3  B4
  9.    W4  B5  W6  B7  W8  B12 B10 W11 B1  W2  B3
 10.    W3  B4  W5  B6  W7  B8  W9  B12 B11 W1  B2
 11.    W2  B3  W4  B5  W6  B7  W8  B9  W10 B12 B1
 12.    B1  W7  B2  W8  B3  W9  B4  W10 B5  W11 B6
 
This shows the basic structure of the round robin.  Every other player on the "ribbon" (not including 12) is given a sequential number and the players rotate one position every round.  They play one game at the left end against 12 (called "the ghost" since this pairing number is unused with only 11 players) who stays put and two games at the right end before changing direction.  By assigning consecutive pairing numbers to every other player, each player's next opponent with the next higher pairing number is just two positions away from their current opponent.  At the end table after meeting the person just ahead of them in the loop, they meet the players just behind.  Since this is a closed loop, player 1 will follow player 11.

11 or 12 players sequential players        11 or 12 players minimum moves

 Rd Bd: 1      3      5      6      4      2
 1:    1-12  11-2   10-3    9-4    8-5    7-6
 2:   12-7    6-8    5-9    4-10   3-11   2-1
 3:    2-12   1-3   11-4   10-5    9-6    8-7
 4:   12-8    7-9    6-10   5-11   4-1    3-2
 5:    3-12   2-4    1-5   11-6   10-7    9-8
 6:   12-9    8-10   7-11   6-1    5-2    4-3
 7:    4-12   3-5    2-6    1-7   11-8   10-9
 8:   12-10   9-11   8-1    7-2    6-3    5-4
 9:    5-12   4-6    3-7    2-8    1-9   11-10
10:   12-11  10-1    9-2    8-3    7-4    6-5
11:    6-12   5-7    4-8    3-9    2-10   1-11
 Rd Bd: 1     3/2    5/4    6/6    4/5    2/3
 1:    1-12  11-2   10-3    9-4    8-5    7-6
 2:   12-7    2-1    3-11   4-10   5-9    6-8
 3:    2-12   1-3   11-4   10-5    9-6    8-7
 4:   12-8    3-2    4-1    5-11   6-10   7-9
 5:    3-12   2-4    1-5   11-6   10-7    9-8
 6:   12-9    4-3    5-2    6-1    7-11   8-10
 7:    4-12   3-5    2-6    1-7   11-8   10-9
 8:   12-10   5-4    6-3    7-2    8-1    9-11
 9:    5-12   4-6    3-7    2-8    1-9   11-10
10:   12-11   6-5    7-4    8-3    9-2   10-1
11:    6-12   5-7    4-8    3-9    2-10   1-11

Consecutive players displays the odd numbered boards from left to right followed by the even boards from right to left.  Since consecutive pairing numbers are assigned to every other position on the ribbon, displaying them like this appears to have players with consecutive numbers on adjacent boards.  The USCF Official Rules, as well as the Harkness Handbook and Blue Book (standards since the 1950's at least) have displayed round robin tables in this format.  Since players move from odd to even (or vice versa) boards each round (except on the right end), they appear to flop from one end to the other when moving to the next round.

This last format is a modification of sequential players.  After displaying the ghost board it displays the even boards from left to right and then the odd boards from right to left in even numbered rounds--for odd numbered rounds it is just like sequential players.  Players appear to remain at each table for two rounds, having Black then White.  Table 6 (on the right end) from the board order is displayed in the middle and doesn't move while the other boards rotate around it.

These are the rules for finding a player's schedule and can also be found here.

  1. Find the common minuend: the lowest odd number greater than the number of players. E.g., for 11 or 12 it is 13.
  2. If there are an odd number of players, pairings against the highest numbered even player (defined as the ghost) indicate a bye (12 in this example).  The ghost stays at board one and does not "rotate" but plays whoever is available.
  3. For the 1st round opponent, subtract the player number from the minuend.  Player 1 either has a bye if there are an odd number of players or White against the ghost.  In all other 1st round pairings, the player with the lower number has Black.
  4. To find the next round opponent, add 1 to this round's opponent and change color.  The exceptions are 1) Opponent had the highest odd number: the next player is No. 1. and 2) Player reached his own number: has a bye or meets the ghost.  If a player's pairing number is less than or equal to (number of players) / 2 he has White against the ghost, otherwise Black.  Each player has White before his ghost round and Black in the round after the ghost.
  5. The ghost has Black against 1 in the first round and White against [(number of players) / 2] + 1 for the 2nd round. For subsequent rounds, add 1 to the opponent's pairing number from two rounds ago with that same color.
© 2009 by Warren Porter