DISCRETE LATTICES ON THE SINGLE BEARING SPIRAL: “MUSICAL CRYSTALLOGRAPHY”
Gurevich D.
2022Symmetrion
Symmetry: Culture and Science
2022#33Issue 2115 - 135 pp.
This article continues the investigations concerning Discrete lattices on a single bearing spiral (Gurevich, 2020, 2021). It focuses on the geometrical models of musical rhythms and musical temperament systems. Spiral lattice [1/12], built on a logarithmic spiral, is considered to be a model of the equal temperament and a design of a new musical instrument – the dodecachord. [m/n] lattices and “rolling stones”, in the form of symmetrical polygons, are used to create geometrical or “crystallographic” models of time signatures and rhythmic structures of specific musical fragments.
Crystalline Note , discrete lattices , Dodecachord , equal temperament , genetic spiral , Glass Bead Game , just intonation , Rhythmic figure , Rolling Stone , spiral symmetry , symmetry groups , time signature
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Consultant Almaty, Kazakhstan
Consultant Almaty
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