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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.
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 ]
Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...
A Wechsel inverted a triad according to the Riemann's theory of dualism, mapping a major triad to a minor triad. For example, Seitenwechsel ("die Seiten wechseln" translates as "to exchange sides") mapped a triad on to its parallel minor or major, transforming C major to C minor and conversely. [ 7 ]
An example of a crab canon. [1] Play ⓘ Requiescat Infini, an example of a crab canon (musical palindrome) composition.. A crab canon (also known by the Latin form of the name, canon cancrizans; as well as retrograde canon, canon per recte et retro or canon per rectus et inversus) [2] is an arrangement of two musical lines that are complementary and backward.
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 ...
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 ...
In traditional theory concepts like voicing and form include ordering; for example, many musical forms, such as rondo, are defined by the order of their sections. The permutations resulting from applying the inversion or retrograde operations are categorized as the prime form's inversions and retrogrades , respectively.