E.A Abbott’s remarkable proto-science fiction novel of 1884, ‘Flatland’, imagines a two-dimensional world constituted only of flat shapes. How would this Euclidian hallucination work – he creates a brutally satirical social hierarchy based on the number of sides one has, and the regularity of those side – and what would happen when its inhabitants encountered a third, vertical, dimension, or the one- and two- dimensional nightmares of Line- and Pointland? This piece tries to embody this, both as sets of restrictions placed on musical materials (what makes music flat?) and as a structural narrative, exploring how dimensions might be introduced and withdrawn. I’m enormously grateful to the generosity of Peter Corcoran and Timothy Hill in supporting this piece and its first performance.