Several unique intracardiac pressure vents, placement catheters, methods of placement and methods of treating heart failure are presented. The intracardiac pressure vents presented allow sufficient flow from the left atrium to the right atrium to relieve elevated left atrial pressure and resulting patient symptoms but also limit the amount of flow from the right atrium to the left atrium to minimize the potential for thrombus or other embolic material from entering the arterial circulation. Deployment of the interatrial pressure vent preferably occurs in a series of steps comprising first advancing the placement catheter through the septal opening, second deploying a first flange, third retracting the placement catheter to position the first flange against the septal wall, and fourth deploying a second flange on the other side of the septal wall from the first flange.