The group received worldwide acclaim for their debut album Mirrored (2007), which, among other honors and awards, was hailed by Time and Pitchfork Media as one of the ten best records of the year.

Central Market was premiered by Braxton and The Wordless Music Orchestra in the U.S at Lincoln Center, followed by performances at the Library of Congress and The Walker Arts Museum.

It premiered in the U.K at Steve Reich's Reverberation Festival, Barbican Centre, in 2011 with the BBC Symphony Orchestra performing and was adapted for ballet by Baryshnikov Art Center resident choreographer John Heginbotham.

In early 2014, Braxton collaborated with the electronic music pioneers Mouse on Mars, performing a new version of In C by the American composer Terry Riley as a part of the Stargaze festival in Berlin, Germany at the Volksbühne.

In 2022, Braxton would release Multiplay, a three-song EP, followed by Telekinesis the studio recording of his piece for electric guitars, orchestra, choir and electronics on Nonesuch.