Enigma Machine - Live at the Boston Opera House, Boston, MA, 3/25/2014

The second instrumental on Dream Theater following "False Awakening Suite," they were the first vocal-less tracks the band had recorded since "Stream of Consciousness" on their 2003 album, Train of Thought.

Guitarist John Petrucci told Ultimate-Guitar.com that it was inconceivable that the band couldn't have made the album without his JP13 guitar. He explained: "In a rock band or a metal band whatever, the guitar sounds kind of dictates the way the album is gonna sound. Because it's a featured instrument and it takes up so much and it will sort of shape the direction and overall sound of the song. If it's really heavy, percussive and aggressive, that's the way the song is gonna sound. It's a very powerful instrument because it dictates the landscape you're setting up. So that guitar and especially the 7-string version of it. I used on a lot of songs on the album. You can hear it on the instrumental 'Enigma Machine' and when that 7-string comes in it's just so heavy and huge. That couldn't have been done with another instrument - it had to sound like that."

Keyboardist Jordan Rudess' main riff came to him in his sleep the night before the band wrote the song. He recalled to MusicRadar: "I was running everything in my mind, 'it's gotta be catchy, it's gotta be progressive, there should be a theme,' all of that, and there it was! It reminded me of the riff to a TV show, but it was also Dream Theater-like. I went to the studio and said to John Petrucci, 'I got something, but I don't know it you're going to like it.' I was having a moment of self-doubt. But he really liked it. He added to it, and we went back and forth, and it was extended, and that was that."