Two different English magazines wear this name:
1) The first HISTORY OF ROCK was a British rock music magazine that operated in the early 1980s. It was owned by Orbis Publishing, a publisher that specialised in partworks, and ran to ten volumes, comprising 120 parts and 2400 pages. According to the music journalism website Rock's Backpages, the magazine "provided an encyclopaedic look at the history of contemporary music".
early 1980s, Orbis, 20 pages.
This is #61 (Bob Dylan special)
of what was presented as an encyclopedia of Rock.