Chess 960 Matchup Analysis

A systematic evaluation of all 921,600 possible Chess-960 opening matchups — each of the 960 starting positions facing one another — processed by Stockfish v17.1 at depth 20.

921,600
Total matchups
960
Starting positions
+0.32
Average eval
68 cp
Std deviation
Eval distribution across all matchups
Decisive Black Black edge Balanced White edge Decisive White

Percentage of the 921,600 matchups falling within each centipawn range. A balanced position lies within ±30 cp.
3,940 matchups (0.43%) result in a perfectly balanced position (0 cp).

Classical chess position (SP386)
Rank 1 — White
White Rooka
White Knightb
White Bishopc
White Queend
White Kinge
White Bishopf
White Knightg
White Rookh

RNBQKBNR is the only Chess-960 starting position identical to the traditional chess setup.

Average Stockfish evaluation for the classical position (RNBQKBNR) as White and as Black
Role Avg eval Interpretation
As White +0.04 Balanced position
As Black +0.44 White has a slight advantage

Avg eval when one side plays the classical position against each of the other 960 opponents.

Best positions as White

# Position Avg eval
1 BQRBNNKR +1.46
2 BBQRNNKR +1.43
3 BBRQNNKR +1.41
4 BQNBRNKR +1.32
5 BQRNNKRB +1.29

Best positions as Black

# Position Avg eval
1 BQRBNNKR -0.87
2 BBQRNNKR -0.80
3 BBRQNNKR -0.79
4 BQRBNKNR -0.72
5 BBNQRNKR -0.70

Most extreme individual matchups

Largest White advantage
White
BRQNNKRB
vs
Black
QRKRNNBB
+2.95
White has a decisive advantage
Largest Black advantage
White
NRQKBBRN
vs
Black
BQRBNNKR
-2.17
Black has a decisive advantage