Chamber Music is a down-beat tune which plays in Britain's Music Hall, The Emerald in Cove, and the Hall of Knowledge on Terfin. It is a subdued and sober tune.
This song is track 29 in the game's data files.
Chamber Music is not one of the five songs named in the credits, and the game's music files are left untitled. Thankfully, the song was released on the Origin Soundtrack Series, Vol. 2 album which gives it an official title. The song is the first part of track 4, followed by Love Theme and Passion Play.
The title no doubt comes from the genre of classical music meant to be played in a chamber with a small accompaniment of musicians, as opposed to an orchestral piece.