Imaginary Music is an ongoing project involving the creation of fictitious 12-inch album covers. The names of both the artists and the album titles are entirely invented. The collection can be extended and is open-ended, forming a parallel sound archive akin to that imagined for books by Borges in The Library of Babylon. The graphic styles employed are varied, ranging from retro pastiche to illustration through collage, conventional photography and AI imagery. The musical genres invoked are likewise disparate and wide-ranging, embracing indie, rock, metal, punk, hiphop, folk, electronica, classical and house. Each artwork might be seen as providing the initial prompts - derived from the name of the artist and the title of the album - for synthetically generating music using AI tools such as Udio and Suno. As the poet said, “Heard melodies are sweet, but those unheard are sweeter”