In this paper we investigate the Danish sense inventory from a paradigmatic and a syntagmatic perspective, respectively, and we present a collection of related lexical semantic resources that we have developed in collaboration between The Society for Danish Language and Literature and The University of Copenhagen. The resources comprise a Danish wordnet (DanNet), The Danish FrameNet Lexicon, and The Danish Sentiment Lexicon. All three resources are designed to enable semantic processing to be used in digital humanities research as well as more broadly in language-centric technology development. Finally, in order to illustrate the use of the resources when processing running text, we provide some annotation examples of each resource.