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  2. Inversion (music) - Wikipedia

    en.wikipedia.org/wiki/Inversion_(music)

    In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. [2] In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.

  3. Retrograde inversion - Wikipedia

    en.wikipedia.org/wiki/Retrograde_inversion

    In music theory, retrograde inversion is a musical term that literally means "backwards and upside down": "The inverse of the series is sounded in reverse order." [1] Retrograde reverses the order of the motif's pitches: what was the first pitch becomes the last, and vice versa. [2]

  4. Riemannian theory - Wikipedia

    en.wikipedia.org/wiki/Riemannian_theory

    Riemannian theory, in general, refers to the musical theories of German theorist Hugo Riemann (1849–1919). His theoretical writings cover many topics, including musical logic, [ 1 ] notation, [ 2 ] harmony, [ 3 ] melody, [ 4 ] phraseology, [ 5 ] the history of music theory, [ 6 ] etc.

  5. Retrograde (music) - Wikipedia

    en.wikipedia.org/wiki/Retrograde_(music)

    Retrograde was not mentioned in theoretical treatises prior to 1500. [2] Nicola Vicentino (1555) discussed the difficulty in finding canonic imitation: "At times, the fugue or canon cannot be discovered through the systems mentioned above, either because of the impediment of rests, or because one part is going up while another is going down, or because one part starts at the beginning and the ...

  6. Equivalence class (music) - Wikipedia

    en.wikipedia.org/wiki/Equivalence_class_(music)

    Pitch class set theory, however, has adhered to formal definitions of equivalence." [ 1 ] Traditionally, octave equivalency is assumed, while inversional , permutational , and transpositional equivalency may or may not be considered ( sequences and modulations are techniques of the common practice period which are based on transpositional ...

  7. Inversions higher than third - Wikipedia

    en.wikipedia.org/wiki/Inversions_higher_than_third

    In music theory, inversions higher than the third require extended chords; the fourth inversion requires a ninth chord, the fifth an eleventh chord, etc. Regarding these extensions, the writer Marcus Miller notes that: If you're working with extended chords, there are more than two possible inversions.

  8. The evolution of a full-back: Philipp Lahm on how position ...

    www.aol.com/evolution-full-back-philipp-lahm...

    Pep Guardiola has changed the role of the full-back. Former Germany and Bayern Munich defender Philipp Lahm tells BBC Sport why and how it has been done. The evolution of a full-back: Philipp Lahm ...

  9. Arch form - Wikipedia

    en.wikipedia.org/wiki/Arch_form

    In music, arch form is a sectional structure for a piece of music based on repetition, in reverse order, of all or most musical sections such that the overall form is symmetric, most often around a central movement. The sections need not be repeated verbatim but must at least share thematic material.