The Mathematical in Music Thinking

6th International Conference on Concept Lattices and Their Applications

Rudolf Wille ; Renate Wille-Henning

Others  :  http://CEUR-WS.org/Vol-433/paper14.pdf
PID  :  24667

来源: CEUR

【 摘 要 】

"The Mathematical in music thinking” is based on Heidegger’s understanding of “the Mathematical” as the basic assumption of the knowledge of the things. Heidegger’s ideas are combined with Peirce’s classification of sciences, in particular, to distinguish between the Mathematical from the less abstract logical thinking and the more abstract mathematical thinking. The aim of this paper is to make nderstandablethe role of the Mathematical in music. The paper concentrates on three domains: the rhythmic of music, the doctrine of music forms, and the theory of tonal systems. The theoretical argumentations are assisted by musical examples: the Adagio of Mozart’s string quartet C major (KV 465), the second movement of ebern’s Symphony op.21, and a cadence illustrating the problem of the harmony of second degree.