MUSIC AND MATHEMATICS: SOME REMARKS ON THE IDEAS OF SPACE AND FORM

Mathematics has been used to describe, analyse and create music for millennia. The use of specific mathematical apparatus is manifest in the organization of basic musical notions into forms or objects that inhabit a sonorous landscape. The collecting of musical units into a set constitutes a starting point for analysing a musical object under different mathematical structures, and although there is no unified approach, musical analysis and composition use geometry and discrete mathematics to describe different musical relations (particularly group theory) in the process of modelling the basic elements of music, such as scales, intervals, chords or rhythms.