This article suggests a framework for the articulation of ambiophonic and geometrical spaces in electroacoustic composition and performance. Space-ambiophony explores the global perception of space, which is derived from the archetypal perception of surrounding environments. The term applies to usually large-scale observation but it can also include shifts in the listener's attention from gestalt perception to micro-structural observation. A spatial analysis of Smalley's Base Metals demonstrates the methods by which space-ambiophony is integrated into the composition. In space-geometry, relations and analogies are established between composed sonic events and principles of geometry and stereometry. Three primordial geometrical elements, drawn from Wassily Kandinsky's theoretical work on painting, serve as metaphorical cells for the construction and projection of this type of space: the point, the line and the plane.The interaction between the acoustic qualities of listening spaces, the configuration of loudspeakers, the composed space (sonic trajectories, background, foreground) and its projection by the interpreter in a concert, are all issues that occupy parts of the article.