Ferranti Mark 1 was the immediate successor to the renowned Baby computer, generally regarded as the forerunner of all modern computers.
The recording was unearthed as part of the preparations for Friday's Digital 60 Day to celebrate the 60th anniversary of the birth of the 'Baby' or Small Scale Experimental Machine.
The tracks were found in the archives of the Computer Conservation Society, making digital recording an official UK first.
Previously the oldest recordings were thought to have been in the US on an IBM mainframe computer at Bell Labs in 1957.