The Edinburgh derby Scottish Cup semi-final between Hearts and Hibs will be shown on the UK's Broadcasting Corporation of Scotland.
Highlights from the Rangers game will be shown on the evening of the Celtic game.
Both Edinburgh clubs are unhappy with the pricing of tickets for the matches.
In the current climate, Hearts and Hibs stressed that they want to make football affordable for everyone.
They explained to the SFA how much it costs to be a supporter, but that the governing body have not moved on their decision, which is incredibly disappointing and has caused us great frustration.
The Glasgow and Edinburgh clubs have never made it to the last four together.
In the 2012 final, the Edinburgh rivals were beaten by a score of 5-1, as well as in the semi-final two years ago, and in the 2006 final, Hibs were beaten by a score of 2-0. The 2016 winners, Hibs, were beaten in the final last year.
Celtic have a record 40 wins in the competition and are aiming for a seventh success.
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