On the Choice of Mappings Based on Geometric Properties

The choice of mapping strategies to effectively map controller variables to sound synthesis algorithms is examined.Specifically, we look at continuous mappings that have ageometric representation. Drawing from underlying mathematical theory, this paper presents a way to compare mapping strategies, with the goal of achieving an appropriatematch between mapping and musical performance context.This method of comparison is applied to existing techniques,while a suggestion is offered on how to integrate and extendthis work through a new implementation.