The book visible in the cover design is G. Patrick Flanagan – Pyramid Power: The Millennium Science (1973).[8]
Pyramid was promoted in the United Kingdom through a nationwide cinema tour where the original master tapes were played in cinemas around the country.[1] These playbacks, described as "simulated concerts" byMusic Week, took place in 30 cities across the United Kingdom. Free tickets to these album playbacks were distributed via dealers and took place at local cinemas.[9] Posters, shop displays, trade ads, and special media bios were created to provide the album with additional publicity and press advertisement was conducted in publications such asThe Guardian andThe Sunday Times.[1]
Cashbox wrote that the band "finally delivered an album which goes beyond cracker -jack production techniques and delves whole-heartedly into the realm of 'identifiable sound'".[10]Billboard said that the album "aurally interesting", with an emphasis on choirs and keyboards for a "spacey sound."[11]
Record World calledPyramid "another immaculately produced album" from The Alan Parsons Project, saying that the creative contributions of musicians and vocalists on the record resulted in a "sometimes lush but haunting accompaniment".[12] Tony Jasper ofMusic Week thought that the album was instrumentally varied and that the music was more likely to catch the attention of listeners than the lyrical themes, which he described as "sometimes banal".[1]
What Goes Up/Little Voice – Another song called, at the time, Little Voice was included in this demo but was not used in the final album.[8]
Can't Take It With You (early version demo) – Alan Parsons (unusually) played all the instruments.[8]
Hyper-Gamma Spaces – The name came from Eric Woolfson's brother Richard, whose Mathematics Doctoral Thesis carried the title Hyper-Gamma Spaces.[8]
The Eagle Will Rise Again (alternative version-backing track) – Intended as a Reprise Rock Band version demo attempt. This was abandoned as there was already enough material for the album.[8]