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Same position, different order: how transpositions work, and why your database should count them once

Four different move orders reach the same Catalan position, and every one of them finds the same 45,726 master games. What a transposition is, and how to use it in your preparation.

Pinolito, the ChessCanvas knight, beside the Catalan position.

A transposition is when two different move orders reach the same position. It happens constantly in the opening, and it matters for one practical reason: if you prepare a move order instead of a position, you can be surprised by a position you already know.

A simple example: the French

The French Defence is usually reached by 1.e4 e6 2.d4 d5. But a player who opens 1.d4 can reach exactly the same position after 1.d4 e6 2.e4 d5.

1.e4 first

  1. 1
  2. 2
Explore this position in the ChessCanvas Database (opens in a new tab)

Opens in a new tab at the position on this board, with what masters played from it.

1.d4 first

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  2. 2
Explore this position in the ChessCanvas Database (opens in a new tab)

Opens in a new tab at the position on this board, with what masters played from it.

Both boards show the same position, and our master database treats them as one: looked up by either order, it finds the same 179,938 games (179,938 by the second route).

A harder example: the Catalan

The Catalan is famous for its move orders. Here are four of them, each starting with a different first move:

Move orderMaster games at the final position
1.d4 Nf6 2.c4 e6 3.g3 d5 4.Nf345,726
1.d4 d5 2.c4 e6 3.Nf3 Nf6 4.g345,726
1.Nf3 Nf6 2.c4 e6 3.g3 d5 4.d445,726
1.c4 e6 2.g3 d5 3.Nf3 Nf6 4.d445,726

  1. 1
  2. 2
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  4. 4

The Catalan position all four orders reach.

Explore this position in the ChessCanvas Database (opens in a new tab)

Opens in a new tab at the position on this board, with what masters played from it.

Same numbers every time, because it's the same position: the same pieces on the same squares, the same side to move, and the same castling rights.

What counts as "the same position"

Two positions are the same when four things match:

  1. every piece is on the same square;
  2. the same side is to move;
  3. both sides have the same castling rights;
  4. an en passant capture is possible in both, or in neither.

The move number and the route don't count. That's the rule our database uses to file every game, and the rule the Position Explorer uses to look one up, so a game is counted once however its players got there.

How to use this in your preparation

  • Prepare positions, not move orders. When you study what masters play against an opening, look up the key position, not just your favourite route to it.
  • Watch for move-order tricks. An opponent who plays 1.Nf3 or 1.c4 may be heading for a position you know from 1.d4. The question is which positions they allow, not which first move they play.
  • Count once. If a database counted each move order separately, a popular position could look rare. Counting by position gives you the real picture.
Sources and evidence6 checked claims

Every number in this article, where it came from and how it was checked. Master-database numbers are re-read from the live database and engine values re-run whenever the page is built. How we check

ClaimValueSource
Master games at the French position, looked up by 1.e4 e6 2.d4 d5179,938ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)
The same, looked up by 1.d4 e6 2.e4 d5179,938ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)
Catalan position by 1.d4 Nf6 2.c4 e6 3.g3 d5 4.Nf345,726ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)
The same by 1.d4 d5 2.c4 e6 3.Nf3 Nf6 4.g345,726ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)
The same by 1.Nf3 Nf6 2.c4 e6 3.g3 d5 4.d445,726ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)
The same by 1.c4 e6 2.g3 d5 3.Nf3 Nf6 4.d445,726ChessCanvas master database c7ccea3a87ef, Modern masters · OTB (re-read at build)

Researched with ChessCanvas tools (Stockfish 19, the ChessCanvas master database) and written with AI assistance; every number comes from the claims ledger and was re-checked when this page was built. Reviewed by Carlos Cano.

Master statistics describe a population of over-the-board games, not a prediction for any player. Games: Lichess open database broadcasts (CC BY-SA 4.0) and standard games (CC0); historical games from The Week in Chess, with permission.

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Pinolito, the ChessCanvas knight, with his notebook

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