Modulation Theory

Abstract

Modulation is a central theme in tonal musical composition. It means the transition from one tonality to another. Of course such a situation is not omnipresent since either the very concept of a tonality is not given (in the composer’s or in the theorist’s mind), or when present, there is no real theory of how to modulate. This chapter dös not intend to present the one and only modulation theory, but is written to prove that precise mathematical conceptualization and the application of mathematical methods can lead to explicit and efficient models of modulation.