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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 ]
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.
Transformational theory is a branch of music theory developed by David Lewin in the 1980s, and formally introduced in his 1987 work, Generalized Musical Intervals and Transformations. The theory—which models musical transformations as elements of a mathematical group —can be used to analyze both tonal and atonal music .
The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...
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 ...
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 ...
According to music theorist Ian Bent, music analysis "is the means of answering directly the question 'How does it work?'". [2] The method employed to answer this question, and indeed exactly what is meant by the question, differs from analyst to analyst, and according to the purpose of the analysis.
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.