Piece - @1 square - @2 squares - @3 squares - @4 squares
U 4 12 4 12
Q 8 8 8 8
S 8 12 4 4
C 4 12 4 4
A 4 12 4 4
The Unicorn (Bishop + Nightrider) and the Queen are the most powerful pieces at a distance. I rate them equal on a 10x10 board. The Super Archbishop or Super Cardinal ('S' here and 'X' in Joe Joyce's note) has an impressive shortrange punch, but I still rate it halfway between the Queen and the Chancellor on a 10x10 board.
Years ago I considered the simple endgame K and X vs K and R as a guide to piece values. X=Queen is almost always a forced win, given sufficient skill and patience. X=Q4 (moves up to four squares like a Queen) is probably not a forced win, according to a small sample of (FIDE rules) endgames I have examined, where the winning Queen move involves: [1] moving at least 5 squares or [2] giving check from at least 5 squares away or [3] attacking the Rook from at least 5 squares away. [EDIT] Dave McCooey's Endgame statistics with fantasy pieces on the 8x8 board states that K and Q vs K and R has no Fortress Draws, while K and A vs K and R has Fortress Draws around fifty percent of the time. The Archbishop (A) is called a Pegasus (G) by McCooey.
The Unicorn (Bishop + Nightrider) and the Queen are the most powerful pieces at a distance. I rate them equal on a 10x10 board. The Super Archbishop or Super Cardinal ('S' here and 'X' in Joe Joyce's note) has an impressive shortrange punch, but I still rate it halfway between the Queen and the Chancellor on a 10x10 board.
Years ago I considered the simple endgame K and X vs K and R as a guide to piece values. X=Queen is almost always a forced win, given sufficient skill and patience. X=Q4 (moves up to four squares like a Queen) is probably not a forced win, according to a small sample of (FIDE rules) endgames I have examined, where the winning Queen move involves: [1] moving at least 5 squares or [2] giving check from at least 5 squares away or [3] attacking the Rook from at least 5 squares away. [EDIT] Dave McCooey's Endgame statistics with fantasy pieces on the 8x8 board states that K and Q vs K and R has no Fortress Draws, while K and A vs K and R has Fortress Draws around fifty percent of the time. The Archbishop (A) is called a Pegasus (G) by McCooey.