In music, a motif IPA: (/moʊˈtiːf/) (also motive) is a short musical idea, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition. The motif is the smallest structural unit possessing thematic identity.
The Encyclopédie de la Pléiade regards it as a "melodic, rhythmic, or harmonic cell", whereas the 1958 Encyclopédie Fasquelle maintains that it may contain one or more cells, though it remains the smallest analyzable element or phrase within a subject. It is commonly regarded as the shortest subdivision of a theme or phrase that still maintains its identity as a musical idea. "The smallest structural unit possessing thematic identity". Grove and Larousse also agree that the motif may have harmonic, melodic and/or rhythmic aspects, Grove adding that it "is most often thought of in melodic terms, and it is this aspect of the motif that is connoted by the term 'figure'."
A harmonic motif is a series of chords defined in the abstract, that is, without reference to melody or rhythm. A melodic motif is a melodic formula, established without reference to intervals. A rhythmic motif is the term designating a characteristic rhythmic formula, an abstraction drawn from the rhythmic values of a melody.
A motif thematically associated with a person, place, or idea is called a leitmotif. Occasionally such a motif is a musical cryptogram of the name involved. A head-motif (German: Kopfmotiv) is a musical idea at the opening of a set of movements which serves to unite those movements.
Scruton, however, suggests that a motif is distinguished from a figure in that a motif is foreground while a figure is background: "A figure resembles a moulding in architecture: it is 'open at both ends', so as to be endlessly repeatable. In hearing a phrase as a figure, rather than a motif, we are at the same time placing it in the background, even if it is...strong and melodious".
Any motif may be used to construct complete melodies, themes and pieces.
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In music, a subject is the material, usually a recognizable melody, upon which part or all of a composition is based. In forms other than the fugue, this may be known as the theme. A subject may be perceivable as a complete musical expression in itself, separate from the work in which it is found. In contrast to an idea or motif, a subject is usually a complete phrase or period. The Encyclopédie Fasquelle defines a theme (subject) as "[a]ny element, motif, or small musical piece that has given rise to some variation becomes thereby a theme".
A leitmotif or leitmotiv (ˌlaɪtmoʊˈtiːf) is a "short, recurring musical phrase" associated with a particular person, place, or idea. It is closely related to the musical concepts of idée fixe or motto-theme. The spelling leitmotif is an anglicization of the German Leitmotiv (ˈlaɪtmoˌtiːf), literally meaning "leading motif", or "guiding motif". A musical motif has been defined as a "short musical idea ...
The 1957 Encyclopédie Larousse defines a cell in music as a "small rhythmic and melodic design that can be isolated, or can make up one part of a thematic context". The cell may be distinguished from the figure or motif: the 1958 Encyclopédie Fasquelle defines a cell as "the smallest indivisible unit", unlike the motif, which may be divisible into more than one cell. "A cell can be developed, independent of its context, as a melodic fragment, it can be used as a developmental motif.
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A motif is a frequently occurring subgraph of a given directed or undirected graph G (Milo et al.). Motifs capture higher order organizational structure of G beyond edge relationships, and, therefore, have found wide applications such as in graph clusterin ...
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