For a drummer, Justin Peake spends very little time at his kit. A few judicious taps on the cymbal, then it’s off to his laptop, where the sound is captured and electronically perpetuated as an evolving series of digital blips and screeches. Sitting back, he lets computerized processes take their course, intervening with a few taps at the keyboard when things need coaxing along.

This is no private experimentation. Peake, alongside fellow drummer Simon Lott, is performing upstairs at the Bl...