These are not separate passes. The Swiss Half Fare Card is an optional add-on to the Swiss Travel Pass Flex, so that you can enjoy discounted traveling on the non-free travel days. That combination is called the Swiss Half Fare Card Combi. You and your wife would each buy the combination. Further details and prices can be found here.
Planning your trip is much easier with a free MySwissAlps account. Learn all about Switzerland and get in touch with us quickly if you have questions.
Let Swiss travel consultants create a customized itinerary. They will book your entire trip.