Abstract

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Symmetry: Culture and Science
Volume 36, Number 3, pages 307-320 (2025)
https://doi.org/10.26830/symmetry_2025_3_307

PERIODICITY AND CYCLIC RECURRENCE AS A BASIS OF MUSICAL TIME ARRANGEMENT

Konstantin Zenkin

Moscow P.I. Tchaikovsky Conservatory, Moscow, 125009, Russia
Email: kzenkin@list.ru

Abstract: The article is dedicated to the manifestations of symmetry in a musical composition, such as periodicity and cyclicity. The author also considers the partial manifestations of those principles, their expressive and compositional meaning, as well as their roots in various musical paradigms of different eras.

Keywords: periodicity, cyclicity, narrative, vector striving, Richard Wagner, myths, the European music of 19–20 centuries, information

References:
Akopian, L. (2014) Evoliutsii I metamorfozy traditsionnykh muzykalno-teoreticheskikh kategorij v novoj muzyke [Evolutions and Transformations of Traditional Musical-theoretic Categories in New Music], chapter 2. Iskusstvo muzyki: teorija I istorija, 10 – 11, pp. 126 – 227.

Arkadjev, M. (1993) Vremennye struktury novoevropeiskoi muzyki [The Structures of Time in the New European Music]. Moscow, Biblos.

Joyce, J. (1922) Ulysses. Paris, Shakespeare and Company.

Lotman, Ju. (1992) Kanonicheskoje iskusstvo kak informatsionnyj paradox [Canonical Art as an Informational Paradox]. Lotman Ju. Izbrannye statji, v 3 t. [Selected articles, in 3 vol.]. Vol. 1, 243 – 7.

Tallinn, Aleksandra.

Rovenko, E. (2021) Translatory Symmetry as a Constructive Basis of the “Cyclic Principle” in Music and Architecture in Interpretation of Vincent D’Indy. Symmetry: Culture and Science, 32 (volume), 2 (issue), 257-260. https://doi.org/10.26830/symmetry_2021_2_257

Schoenberg, A. (2006) Stil i mysl [Style and Idea]. Moscow, Kompozitor.

Schoenberg, A. (1958) Briefe / ausgew. Und hrsg. Von Ervin Stein. Meinz, B. Schott’s Sohne.

Stravinsky, I. (1971) Dialogi [Dialogues]. Leningrad, Muzyka.

Stravinsky, I. (1962) Khronika mojei zhizni [The Chronicle of my Life]. Leningrad, Muzgiz.

Wölfflin, H. (2002) Osnovnyye ponyatiya istorii iskusstv. [The main concepts of the history of arts. [transl. by A. Frankovsky]. St.-Petersburg: Lan’, 244 pp.