The first side of the vinyl was an eleven minute jazz composition with comedic vocals by Jack Black. Kyle Gass played the recorder, rather than any guitar. Jack Black makes reference to the band's film The Pick of Destiny when he sings, "Who put Beelzeboss into my jazz?" There is also an interpolation of Disturbed's song "Down with the Sickness", with Brooks Wackerman performing the opening drum notes from Disturbed's song and Jack Black imitating singer David Draiman's vocal intro to that song. The second side of the vinyl contained a short skit, which was left off the iTunes release of the album.
In October 2012, Tenacious D performed "Simply Jazz" live in concert prior to the EP's release. On November 5, Tenacious D appeared on The Late Late Show With Craig Ferguson, performing "Simply Jazz" in promotion of the EP. The EP was released as a limited edition vinyl as part of a Record Store Day promotion at participating stores. It is available as a digital EP on iTunes, which includes a bonus video, "The Making of Simply Jazz". The limited edition vinyl contained a download card for the "making of" video.