Russian progressive chess

In a complete set of progressive chess variants I offer to include this variation.

Rules:

The game uses the rules of English progressive chess with the following changes:

• White begins the game. The quantity of moves in each turn is increased and corresponds to the number of a turn. In each odd turn the last move in a series is done by moving a piece from the opponent.

• It is possible to give check at any point during a player's turn. After having given check, the turn of a player ends, and the opponent may then move.
• When one is in check at the start of a turn, one must remove the check in the first move in a series.
• It is allowed to put ones king in check, but such a check should be removed by the end of a series.
• In a series of moves each move should be carried out by a new piece.
• The movement of an enemy piece at the end of a series should not give check to both ones own king and the king of the opponent.