Motivic Homotopy Theory
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Motivic Homotopy Theory
In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The motive 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 'f ...
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Debussy String Quartet Second Movement Opening
(Achille) Claude Debussy (; 22 August 1862 – 25 March 1918) was a French composer. He is sometimes seen as the first Impressionist composer, although he vigorously rejected the term. He was among the most influential composers of the late 19th and early 20th centuries. Born to a family of modest means and little cultural involvement, Debussy showed enough musical talent to be admitted at the age of ten to France's leading music college, the Conservatoire de Paris. He originally studied the piano, but found his vocation in innovative composition, despite the disapproval of the Conservatoire's conservative professors. He took many years to develop his mature style, and was nearly 40 when he achieved international fame in 1902 with the only opera he completed, '' Pelléas et Mélisande''. Debussy's orchestral works include ''Prélude à l'après-midi d'un faune'' (1894), '' Nocturnes'' (1897–1899) and ''Images'' (1905–1912). His music was to a considerable extent a ...
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Cell (music)
The 1957 ''Encyclopédie Larousse''quoted in Nattiez, Jean-Jacques (1990). ''Music and Discourse: Toward a Semiology of Music'' (''Musicologie générale et sémiologue'', 1987). Translated by Carolyn Abbate (1990). . 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. It can be the source for the whole structure of the work; in that case it is called a generative cell." A rhythmic cell is a cell without melodic connotations. It may be entirely percussive or applied to different melodic segments. History The term "cell" (German: ''Keim'') derives from organic music theorists ...
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Musical Development
In music, development is a process by which a musical idea is communicated in the course of a composition. It refers to the transformation and restatement of initial material. Development is often contrasted with musical variation, which is a slightly different means to the same end. ''Development'' is carried out upon portions of material treated in many ''different'' presentations and combinations at a time, while ''variation'' depends upon ''one'' type of presentation at a time. In this process, certain central ideas are repeated in different contexts or in altered form so that the mind of the listener consciously or unconsciously compares the various incarnations of these ideas. Listeners may apprehend a "tension between expected and real results" (see irony), which is one "element of surprise" in music. This practice has its roots in counterpoint, where a theme or subject might create an impression of a pleasing or affective sort, but delight the mind further as its contrap ...
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Piece (music)
Musical composition can refer to an original piece or work of music, either vocal or instrumental, the structure of a musical piece or to the process of creating or writing a new piece of music. People who create new compositions are called composers. Composers of primarily songs are usually called songwriters; with songs, the person who writes lyrics for a song is the lyricist. In many cultures, including Western classical music, the act of composing typically includes the creation of music notation, such as a sheet music "score," which is then performed by the composer or by other musicians. In popular music and traditional music, songwriting may involve the creation of a basic outline of the song, called the lead sheet, which sets out the melody, lyrics and chord progression. In classical music, orchestration (choosing the instruments of a large music ensemble such as an orchestra which will play the different parts of music, such as the melody, accompaniment, counte ...
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Figure (music)
__NOTOC__ A musical figure or figuration is the shortest phrase in music; a short succession of notes, often recurring. It may have melodic pitch, harmonic progression, and rhythmic meter. The 1964 '' Grove's Dictionary'' defines the figure as "the exact counterpart of the German 'motiv' and the French 'motif: it produces a "single complete and distinct impression". To the self-taught Roger Scruton, however, a figure is distinguished from a motif in that a figure is background while a motif is foreground: Allen Forte describes the term ''figuration'' as being applied to two distinct things: A phrase originally presented or heard as a motif may become a figure that accompanies another melody, such as in the second movement of Claude Debussy's ''String Quartet''. It is perhaps best to view a figure as a motif when it has special importance in a piece. According to White, motives are, "significant in the structure of the work," while figures or figurations are not and, "may ...
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Roger Scruton
Sir Roger Vernon Scruton (; 27 February 194412 January 2020) was an English philosopher and writer who specialised in aesthetics and political philosophy, particularly in the furtherance of traditionalist conservative views. Editor from 1982 to 2001 of ''The Salisbury Review'', a conservative political journal, Scruton wrote over 50 books on philosophy, art, music, politics, literature, culture, sexuality, and religion; he also wrote novels and two operas. His most notable publications include ''The Meaning of Conservatism'' (1980), ''Sexual Desire'' (1986), ''The Aesthetics of Music'' (1997), and ''How to Be a Conservative'' (2014). He was a regular contributor to the popular media, including ''The Times'', ''The Spectator'', and the ''New Statesman''. Scruton embraced conservatism after witnessing the May 1968 student protests in France. From 1971 to 1992 he was a lecturer and professor of aesthetics at Birkbeck College, London, after which he held several part-time academic ...
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Head-motif
In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The motive 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 'figu ...
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Musical Cryptogram
A musical cryptogram is a cryptogrammatic sequence of musical symbols, a sequence which can be taken to refer to an extra-musical text by some 'logical' relationship, usually between note names and letters. The most common and best known examples result from composers using ciphered versions of their own or their friends' names as themes or motifs in their compositions. Much rarer is the use of music notation to encode messages for reasons of espionage or personal security called steganography. Because of the multitudinous ways in which notes and letters can be related, detecting hidden ciphers and proving accurate decipherment is difficult. History From the initial assignment by Western music theorists of letter names to notes in the 9th century it became possible to reverse the procedure and assign notes to the letters of names. However, this does not seem to have become a recognized technique until the Romantic period. From the mid-19th century it has become quite common. Sp ...
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Leitmotif
A leitmotif or leitmotiv () 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'' (), literally meaning "leading motif", or "guiding motif". A musical motif has been defined as a "short musical idea ... melodic, harmonic, or rhythmic, or all three", a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "the smallest structural unit possessing thematic identity." In particular, such a motif should be "clearly identified so as to retain its identity if modified on subsequent appearances" whether such modification be in terms of rhythm, harmony, orchestration or accompaniment. It may also be "combined with other leitmotifs to suggest a new dramatic condition" or development. The technique is no ...
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Theme (literary)
In contemporary literary studies, a theme is a central topic, subject, or message within a narrative. Themes can be divided into two categories: a work's ''thematic concept'' is what readers "think the work is about" and its ''thematic statement'' being "what the work says about the subject". Themes are often distinguished from premises. The most common contemporary understanding of theme is an idea or point that is central to a story, which can often be summed in a single word (for example, love, death, betrayal). Typical examples of themes of this type are conflict between the individual and society; coming of age; humans in conflict with technology; nostalgia; and the dangers of unchecked ambition. A theme may be exemplified by the actions, utterances, or thoughts of a character in a novel. An example of this would be the thematic idea of loneliness in John Steinbeck's ''Of Mice and Men'', wherein many of the characters seem to be lonely. It may differ from the thesis—the text' ...
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Interval (music)
In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. In Western music, intervals are most commonly differences between notes of a diatonic scale. Intervals between successive notes of a scale are also known as scale steps. The smallest of these intervals is a semitone. Intervals smaller than a semitone are called microtones. They can be formed using the notes of various kinds of non-diatonic scales. Some of the very smallest ones are called commas, and describe small discrepancies, observed in some tuning systems, between enharmonically equivalent notes such as C and D. Intervals can be arbitrarily small, and even imperceptible to the human ear. In physical terms, an interval is the ratio between two sonic freq ...
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Melodic Formula
Melody type or type-melody is a set of melodic formulas, figures, and patterns. Term and typical meanings "Melody type" is a fundamental notion for understanding a nature of Western and non-Western musical modes, according to Harold Powers' seminal article "Mode" in the first edition of the ''New Grove Dictionary of Music and Musicians'' . Melody types are used in the composition of an enormous variety of music, especially non-Western and early Western music. Such music is generally composed by a process of centonization, either freely (i.e. improvised) or in a fixed pattern. "Melody type" as used by the ethnomusicologist Mark is defined as a "group of melodies that are related, in that they all contain similar modal procedures and characteristic rhythmic and melodic contours or patterns". Most cultures which compose music in this way organize the patterns into distinct melody types. These are often compared to modern Western scales, but they in fact represent much more ...
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