Designing Mappings for Musical Interfaces Using Preset Interpolation

A new method for interpolating between presets is described. The interpolation algorithm called Intersecting N-Spheres Interpolation is simple to compute and its generalization to higher dimensions is straightforward. The current imple-mentation in the SuperCollider environment is presented as a tool that eases the design of many-to-many mappings for musical interfaces. Examples of its uses, including such mappings in conjunction with a musical interface called the sponge, are given and discussed.