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Central rotation of regular (and irregular) musical poligons

2020; Serbian Academy of Sciences and Arts - Institute of Musicology of Serbian Academy of Sciences and Arts; Issue: 28 Linguagem: Inglês

10.2298/muz2028205l

2406-0976

Dragan Latinčić,

Diverse Musicological Studies

The text describes the application of one of the most important isometric transformations to the projected metro-rhythmic entities of individual harmonics of the spectrum. It is a direct isometry called central rotation. Central rotation conditions the hemiola structuring of the meter. Hemiolas are identified with regular and irregular geometric figures (primarily triangles) by means of a partition and the composition (index) number of a particular spectral harmonics. The partition and composition of numbers, which are dealt with in discrete mathematics, on the one hand, and, the technique of horizontal hemiolas, characteristic of the polyphony of the sub-Saharan region, on the other, served as a means of creating methods by which the isometric transformation of central rotation would be realized in (musical) time.