Cadence

Cadences are shorthand representations of tonalities. (We do not discuss the other meanings—e.g., the solo cadence in the sense of a concert climax|of this typically homonymic term.) There is a variety of approaches to realize such a representation. We give an explicit definition of the concept of a cadence with respect to varied addresses and ambient spaces. In particular, we present the very classical cadences, those related to self-addressed function theory, and more exotic self-addressed cadences which relate to symmetries rather than to tones or sets of such objects.