This chapter is about “understanding” aggregates of pitches in their combination on the syntagmatic/paradigmatic axes. This requires constructions of targets of such an understanding, i.e., harmonic semantics. The present theory succeeds in a (re)construction of function-theoretic semantics which is based on the paradigms associated with classical tonal functions. We discuss different approaches, among others the morphological theory of Noll and the approach of Mazzola based on chains of triads.
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