The Delta System emerged from a mathematical and philosophical analysis of the nature of musical transformation and the techniques of mathematical representation where numbers can symbolize either positional/absolute or relative musical values. This reflects the two primary orientations towards music perception of absolute and relative pitch. The name of the delta system has been based on the meaning of delta, which refers to change between two values in the discipline of physics. As a technique of music analysis, the delta system examines the derivative hierarchy of changes that occur with the transformation of a primary unit of value, such as pitch. As a music technology, it goes one step further to redefine the functional relationship between physical space and musical space with a computationally-based musical instrument. This allows for increasingly complex levels of musical execution with minimal physical exertion and enables a level of interactive learning to clarify the function of each order of change or delta dimension on a cognitive level.