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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.
Inversion (music), a term with various meanings in music theory and musical set theory; Inversions by Iain M. Banks; Inversion, a 2012 third person shooter for Xbox 360, PlayStation 3, and PC; Inversions, the 2014 extended play album by American rock music ensemble The Colourist; Inversions, a 2019 album by Belinda O'Hooley
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 ]
Thematic transformation (also known as thematic metamorphosis or thematic development) is a musical technique in which a leitmotif, or theme, is developed by changing the theme by using permutation (transposition or modulation, inversion, and retrograde), augmentation, diminution, and fragmentation.
In music, a transformation consists of any operation or process that may apply to a musical variable (usually a set or tone row in twelve tone music, or a melody or chord progression in tonal music), or rhythm in composition, performance, or analysis.
In music theory, complement refers to either traditional interval complementation, or the aggregate complementation of twelve-tone and serialism. In interval complementation a complement is the interval which, when added to the original interval, spans an octave in total. For example, a major 3rd is the complement of a minor 6th.
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The permutations resulting from applying the inversion or retrograde operations are categorized as the prime form's inversions and retrogrades, respectively. Applying both inversion and retrograde to a prime form produces its retrograde-inversions, considered a distinct type of permutation. Permutation may be applied to smaller sets as well.