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  1. Symmetry is a specific aspect of repetition. There are various ways of its reali- zation in musical structure and form, as well as presuppositions of its application, concerning different compositional systems and styles.
    www.jstor.org/stable/3108344
    www.jstor.org/stable/3108344
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    In music, a music scale can have certain symmetries, namely translational symmetry and inversional or mirror symmetry. The most prominent examples are scales which equally divides the octave.
    In classical music, Bach used the symmetry concepts of permutation and invariance. Symmetry is also an important consideration in the formation of scales and chords, traditional or tonal music being made up of non-symmetrical groups of pitches, such as the diatonic scale or the major chord.
    en.wikipedia.org
    Symmetry has been used as a formal constraint by many composers, such as the arch (swell) form (ABCBA) used by Steve Reich, Béla Bartók, and James Tenney. In classical music, Bach used the symmetry concepts of permutation and invariance.
    en.wikipedia.org
    Besides instruments, however, there are several elements of symmetry that exist in musical score as well. For instance, if we think about lines of musical score wrapped around a cylinder, we can see frieze symmetries. Excellent examples can be found in Claude Debussyโ€™s work.
  3. Symmetry and Centricity โ€“ OPEN MUSIC THEORY

  4. Symmetrical scale โ€“ Twentieth- and Twenty-First-Century Music

  5. The language of symmetry in music | Faculty of Music

  6. Category:Musical symmetry - Wikipedia

  7. 6.5: Organizing Forces - Symmetry and Centricity

    WEBJul 16, 2023 · Apart from these means, pitch and/or pitch-class symmetry represents a novel method by which post-tonal composers created centricity in their music. And the study of symmetry in general takes us โ€ฆ