SetMatcher
Guides to running racket sport

Seeds and byes: how a draw is actually filled

A draw of eight is filled in the order 1, 8, 4, 5, 2, 7, 3, 6 from the top. Every pair in that list adds up to nine, which is one more than the size of the round, and that one rule is the whole of standard seeding: the strongest meets the weakest, and the top two cannot meet before the final.

The order, why the pairs sum to one more than the round, and where the byes land.

A draw of eight, in seed order
1-8-4-5-2-7-3-6
Shapes a draw can take
9
Entrants in a free event
16
Good to know, in numbers.

Why seeds exist at all

A knockout drawn purely at random puts the two best entrants against each other in the first round about once every few tournaments, and when it happens the event is decided before most people have finished their warm-up. Seeding is the minimum interference that stops that, and nothing more: it fixes where a handful of entrants start and leaves everybody else to the draw.

Seed only as many entrants as you can honestly rank. Two in a draw of eight, four in a draw of sixteen, eight in a draw of thirty-two is the usual convention, and seeding sixteen entrants in a field where you only really know the top four is a way of making the draw look objective while inventing most of it.

The standard order, and the rule behind it

Take the list for a draw of two, which is 1, 2. To get the list for a draw of four, replace each number n with the pair n and five minus n: 1, 4, 2, 3. Do it again for eight, with nine minus n: 1, 8, 4, 5, 2, 7, 3, 6. Every size of draw is built from the size below it by the same step.

Two things follow from that and both matter. First, the two numbers in any first-round match add up to one more than the size of the draw, so the strongest always faces the weakest. Second, seeds one and two end up in opposite halves, seeds three and four in opposite quarters, and so on down: the draw separates the seeds as widely as the arithmetic allows.

This is the order every governing body publishes and the one SetMatcher uses, which is worth knowing because it means a draw here can be checked against a printed regulation rather than trusted. If your federation’s handbook shows a draw of sixteen, the positions on your screen are in the same order.

Byes, and why they go to the top seeds

A knockout needs a bracket whose size is a power of two, so a field of twenty is drawn into a bracket of thirty-two and the twelve empty positions are byes. A bye is not an opponent: the entrant facing one advances without playing, and only the entries that face a real opponent play in the first round.

Because the seed list is padded with byes at the end, and because the weakest positions sit opposite the strongest, the byes land on the top seeds automatically. That is arithmetic rather than favouritism, and the alternative is worse: byes placed anywhere else produce first-round matches between two byes, which are matches nobody plays and which still take up a line on the sheet.

Read the table for the two numbers a committee actually needs: how many byes a field leaves, and how many first-round matches there really are. A field of twenty-four in a bracket of thirty-two has eight byes and eight first-round matches, which is one turn of eight courts rather than the sixteen matches the bracket size suggests.

The bracket a field is drawn into, and the byes it leaves
Entrants Bracket size Byes First-round matches
5831
91671
121644
2032124
243288
48641616

What SetMatcher does with a bye

A match with a bye on one side and an entrant on the other needs no play, so the entrant is advanced immediately and the position in the next round shows their name rather than an empty slot. A match with a bye on both sides, which happens in a very small field, passes the bye downward instead of producing a fixture nobody can play.

The practical effect is that a printed draw sheet from SetMatcher shows the first round as it will actually be played, with the byes resolved and the names already in the second round where they belong. That is the sheet you pin to the clubhouse wall, and the page on running a club tournament says what to do with it.

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