Advantages
By identifying each square with reference to the player on move, descriptive notation better reflects the symmetry of the game's starting position ("both players opened with P-K4 and planned to play B-KN2 as soon as possible"), and because the pieces captured are named, it is easy to skim over a game record and see which ones have been taken at any particular point.
The maxim that "a pawn on the seventh is worth two on the fifth" makes sense from both Black's perspective as well as White's perspective.
English descriptive notation is also particular to chess, not to any other game.
Read more about this topic: Descriptive Notation
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