Held at the Usher Hall, the much-loved event was staged here after Monaco, who the competition won in 1971, were unable to meet the huge demands of hosting the show and could not find a suitable venue.
Taking place on March 25, 1972, Eurovision was hosted by Scottish ballet dancer Moira Shearer and screened on the BBC.
Representing the UK that year were The New Seekers with the song Beg, Steal Or Borrow.
Up against 17 other countries, they were respectable runners-up to Luxembourg's Vicky Leandross, whose song Apres Toi garnered 128 points to the UK's 114.
Take a look through our photo gallery for a nostaligic trip back to when Eurovision came to the Capital.
. Eurovision in Edinburgh
Take a look through our photo gallery for a nostaligic trip back to when Eurovision came to Edinburgh in 1972. Photo: Third Party
. Winning country
Luxembourg won the 1972 contest, with their song Apres toi, sung in French by Vicky Leandros. Photo: BBC
. Judging
Each country had two jury members, one aged between 16 and 25, the other between 26 and 55, who awarded between 1 to 5 points each for each performance, excluding their own country's performance. Photo: BBC
13. Scoreboard
Luxemburg racked up a total of 128 points in 1972, securing the win. Next year, winning singer Vicky Leandros would try to enter the song contest again but only came 3rd in the German national final for the contest. Photo: BBC