Wikipedia
"Instrumedley" (a portmanteau of instrumental medley), sometimes referred to as The Dance of Instrumentals, is an instrumental musical piece performed only during live shows by the progressive metal band Dream Theater.
This instrumental was first performed on Aug 10, 2002 in Los Angeles, CA during the second leg of their North American tour World Turbulence. The instrumental itself is actually a medley of several Dream Theater and Liquid Tension Experiment classics. Using "The Dance of Eternity" from the Metropolis Pt. 2: Scenes from a Memory album as a skeleton, "Instrumedley" is played by inserting popular riffs and segments of other instrumentals and songs throughout "The Dance of Eternity." These segments are usually recognizable by avid Dream Theater fans, even when hearing "Instrumedley" for the first time, making the instrumental one of Dream Theater's most interesting musical pieces.
The instrumental was made popular when it was featured on the live 3-CD or 2-DVD release Live at Budokan.
It's also the only Dream Theater track that features songwriting credit from all three keyboard players (Moore, Sherinian, and Rudess).