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Introduction. In the Book of Modes [10], the romanian composer Anatol Vieru collects periodic sequences by iteratively applying a finite sum operator starting from the constant sequence (6) on Z12, corresponding to the triton interval. Then he decodes from each sequence a musical aspect, giving rise to a composition: Zone d’Oubli.
Introduction. In the Book of Modes [10], the romanian composer Anatol Vieru collects periodic sequences by iteratively applying a finite sum operator starting from the constant sequence (6) on Z12, corresponding to the triton interval. Then he decodes from each sequence a musical aspect, giving rise to a composition: Zone d’Oubli.
Jun 21, 2022 · This article develops some aspects of Anatol Vieru’s compositional technique based on finite difference calculus of periodic sequences taking values in a cyclic group. After recalling some group-theoretical properties, we focus on the decomposition ...
This article develops some aspects of Anatol Vierus compositional technique based on finite difference calculus of periodic sequences taking values in a cyclic group.
Apr 24, 2020 · Anatol Vieru - Symphony no 4 - Filarmonica de Stat "Transilvania" Cluj-Napoca (Transylvania State Philharmonic Orchestra Cluj-Napoca), conducted by Emil Simo...
- 41 min
- 843
- hammerklaviermusik
Two mathematical problems arose starting from the so called Vieru’s sequence V : period of primitives and proliferation of values. In this paper we announce, providing only the sketch of the proofs, the solution of these questions in a purely algebraic way.
Jun 4, 2022 · Vieru highlighted two remarkable phenomena about the particular sequence (so called Vieru’s sequence): $$\begin {aligned} V = (2,1,2,4,8,1,8,4) \in \mathbb {Z}_ {12} \end {aligned}$$. originated from the initial sequence (2, 1) corresponding to Messiaen’s second mode of limited transpositions. Vieru repeatedly applied to V the operator ...
