The up-tempo pounding dance mix is already hugely popular with clubbers in the city's nightclubs, according to its creator, Tony Beadle, 37.
"It's slightly tongue-in-cheek, but it's definitely not a novelty record," he said. "Who knows? This could be the next thing."
Beadle delayed the release of the CD after the death of Countdown host Whiteley in June and has been given the backing of Yorkshire Television.
The brain-teasing programme became one of Britain's favourite shows after its launch in 1982 with famous fans as diverse as George Clooney and the Queen. When it returns to the screen on 31 October, the format will be the same. The new host is Desmond Lynam.
A memorial service for the late presenter will be held at York Minster on 12 November.
The BBC Radio One DJ Colin Murray, a fan of the show, reckons "Vinyl Countdown" will be a hit: "It's a catchy little number as it is," he said. "I can't wait to hear the dance version."Reuse content