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Hexachord
In music, a hexachord (also hexachordon) is a six- note series, as exhibited in a scale ( hexatonic or hexad) or tone row. The term was adopted in this sense during the Middle Ages and adapted in the 20th century in Milton Babbitt's serial theory. The word is taken from the , compounded from ἕξ (''hex'', six) and χορδή (''chordē'', string f the lyre whence "note"), and was also the term used in music theory up to the 18th century for the interval of a sixth ("hexachord major" being the major sixth and "hexachord minor" the minor sixth). Middle Ages The hexachord as a mnemonic device was first described by Guido of Arezzo, in his ''Epistola de ignoto cantu''. In each hexachord, all adjacent pitches are a whole tone apart, except for the middle two, which are separated by a semitone. These six pitches are named ''ut'', ''re'', ''mi'', ''fa'', ''sol'', and ''la'', with the semitone between ''mi'' and ''fa''. These six names are derived from the first syllable of e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guidonian Hand
The Guidonian hand was a mnemonic device used to assist singers in learning to sight reading, sight-sing. Some form of the device may have been used by Guido of Arezzo, a medieval music theory, music theorist who wrote a number of treatises, including one instructing singers in sightreading. The hand occurs in some manuscripts before Guido's time as a tool to find the semitone; it does not have the depicted form until the 12th century. Sigebertus Gemblacensis in 1105–1110 did describe Guido using the joints of the hand to aid in teaching his Hexachord#Middle Ages, hexachord. The Guidonian hand is closely linked with Guido's new ideas about how to learn music, including the use of hexachords, and the first known Western use of solfège. Theory The idea of the Guidonian hand is that each portion of the hand represents a specific note within the hexachord system, which spans nearly three octaves from "Γ ''ut''" (that is, "Gamma ''ut''") (the contraction of which is "Gamut (music ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatoriality
In music using the twelve tone technique, combinatoriality is a quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates (all twelve tones). Whittall, Arnold. 2008. ''The Cambridge Introduction to Serialism. Cambridge Introductions to Music'', p. 272. New York: Cambridge University Press. (hardback) (pbk). Much as the pitches of an aggregate created by a tone row do not need to occur simultaneously, the pitches of a combinatorially created aggregate need not occur simultaneously. Arnold Schoenberg, creator of the twelve-tone technique, often combined P-0/I-5 to create "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect of derived rows, where the initial segment or set may be combined with its transformations (T,R,I,RI) to create an entire row. "Derivation refers to a process whereby, for instance, the ini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Lewin
David Benjamin Lewin (July 2, 1933 – May 5, 2003) was an American music theorist, music critic and composer. Called "the most original and far-ranging theorist of his generation", he did his most influential theoretical work on the development of transformational theory, which involves the application of mathematical group theory to music. Biography Lewin was born in New York City and studied piano from a young age and was for a time a pupil of Eduard Steuermann. He graduated from Harvard in 1954 with a degree in mathematics. Lewin then studied theory and composition with Roger Sessions, Milton Babbitt, Edward T. Cone, and Earl Kim at Princeton University, earning an M.F.A. in 1958. He returned to Harvard as a Junior Fellow in the Harvard Society of Fellows from 1958 to 1961. After holding teaching positions at the University of California, Berkeley (1961–67), the State University of New York at Stony Brook (1967–79), and Yale University (1979–85), he returned to Harv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schoenberg - Die Jakobsleiter Opening Hexachord
Arnold Schoenberg or Schönberg (13 September 187413 July 1951) was an Austrian and American composer, music theorist, teacher and writer. He was among the first modernists who transformed the practice of harmony in 20th-century classical music, and a central element of his music was its use of motives as a means of coherence. He propounded concepts like developing variation, the emancipation of the dissonance, and the " unity of musical space". Schoenberg's early works, like ''Verklärte Nacht'' (1899), represented a Brahmsian–Wagnerian synthesis on which he built. Mentoring Anton Webern and Alban Berg, he became the central figure of the Second Viennese School. They consorted with visual artists, published in ''Der Blaue Reiter'', and wrote atonal, expressionist music, attracting fame and stirring debate. In his String Quartet No. 2 (1907–1908), ''Erwartung'' (1909), and '' Pierrot lunaire'' (1912), Schoenberg visited extremes of emotion; in self-portraits he emphasized h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musica Ficta
''Musica ficta'' (from Latin, "false", "feigned", or "fictitious" music) was a term used in European music theory from the late 12th century to about 1600 to describe pitches, whether notated or added at the time of performance, that lie outside the system of ''musica recta'' or ''musica vera'' ("correct" or "true" music) as defined by the Guidonian hand#Hexachord in Middle Ages, hexachord system of Guido of Arezzo. Modern use Today, the term is often loosely applied to all unnotated inflections (whether they are actually ''recta'' or ''ficta'' notes; see below) that must be inferred from the musical context and added either by an editor or by performers themselves. However, some of the words used in modern reference books to represent ''musica ficta'', such as "inflection", "alteration", and "added accidentals" lie outside the way many Medieval and Renaissance theorists described the term. Historical sense and relation to hexachords Throughout the period that incorporated ''musi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hexatonic Scale
In music and music theory, a hexatonic scale is a scale with six pitches or notes per octave. Famous examples include the whole-tone scale, C D E F G A C; the augmented scale, C D E G A B C; the Prometheus scale, C D E F A B C; and the blues scale, C E F G G B C. A hexatonic scale can also be formed by stacking perfect fifths. This results in a diatonic scale with one note removed (for example, A C D E F G). Whole-tone scale The whole-tone scale is a series of whole tones. It has two non-enharmonically equivalent positions: C D E F G A C and D E F G A B D. It is primarily associated with the French impressionist composer Claude Debussy, who used it in such pieces of his as ''Voiles'' and ''Le vent dans la plaine'', both from his first book of piano '' Préludes''. This whole-tone scale has appeared occasionally and sporadically in jazz at least since Bix Beiderbecke's impressionistic piano piece ''In a Mist''. Bop pianist Thelonious Monk often interpolated whole-tone scale flo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guido Of Arezzo
Guido of Arezzo (; – after 1033) was an Italian music theorist and pedagogue of High medieval music. A Benedictine monk, he is regarded as the inventor—or by some, developer—of the modern Staff (music), staff notation that had a massive influence on the development of Western musical notation and practice. Perhaps the most significant European writer on music between Boethius and Johannes Tinctoris, after the former's ''De institutione musica'', Guido's ''Micrologus'' was the most widely distributed medieval treatise on music. Biographical information on Guido is only available from two contemporary documents; though they give limited background, a basic understanding of his life can be unravelled. By around 1013 he began teaching at Pomposa Abbey, but his antiphonary ''Prologus in antiphonarium'' and novel teaching methods based on staff notation brought considerable resentment from his colleagues. He thus moved to Arezzo in 1025 and under the patronage of Bishop Tedald ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polyphony
Polyphony ( ) is a type of musical texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice ( monophony) or a texture with one dominant melodic voice accompanied by chords ( homophony). Within the context of the Western musical tradition, the term ''polyphony'' is usually used to refer to music of the late Middle Ages and Renaissance. Baroque forms such as fugue, which might be called polyphonic, are usually described instead as contrapuntal. Also, as opposed to the ''species'' terminology of counterpoint, polyphony was generally either "pitch-against-pitch" / "point-against-point" or "sustained-pitch" in one part with melismas of varying lengths in another. In all cases the conception was probably what Margaret Bent (1999) calls "dyadic counterpoint", with each part being written generally against one other part, with all parts modified if needed in the end. This point-against-point conception is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musical Note
In music, notes are distinct and isolatable sounds that act as the most basic building blocks for nearly all of music. This musical analysis#Discretization, discretization facilitates performance, comprehension, and musical analysis, analysis. Notes may be visually communicated by writing them in musical notation. Notes can distinguish the general pitch class or the specific Pitch (music), pitch played by a pitched Musical instrument, instrument. Although this article focuses on pitch, notes for unpitched percussion instruments distinguish between different percussion instruments (and/or different manners to sound them) instead of pitch. Note value expresses the relative Duration (music), duration of the note in time. Dynamics (music), Dynamics for a note indicate how Loudness, loud to play them. Articulation (music), Articulations may further indicate how performers should shape the Envelope (music), attack and decay of the note and express fluctuations in a note's timbre and Pit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carlton Gamer
Carlton Edwin Wesley Gamer (February 13, 1929 – July 14, 2023) was an American composer and music theorist. Gamer composed more than seventy works in a variety of genres, including songs, music for dance, solo piano pieces, chamber music, choral works, orchestral works, and computer music. His compositional approach has been fundamentally shaped by his theoretical interests, the latter influenced by an interest in mathematics. He taught at Colorado College, Princeton University, and the University of Michigan; he studied at Northwestern University and Boston University and later privately with Roger Sessions. Life and career Gamer was born in Chicago on February 13, 1929. He grew up in Champaign-Urbana, Illinois, where his father taught at the University of Illinois. At the age of eight he began to study piano with Tanya Kessler and composition with her husband Hubert Kessler. From 1942 to 1946, Gamer attended University High School in Bloomington-Normal, Illinois. Simult ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
