Mixtur
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Mixtur
''Mixtur'', for orchestra, 4 sine-wave generators, and 4 ring modulators, is an orchestral composition by the German composer Karlheinz Stockhausen, written in 1964, and is Nr. 16 in his catalogue of works. It exists in three versions: the original version for full orchestra, a reduced scoring made in 1967 (Nr. 16), and a re-notated version of the reduced scoring, made in 2003 and titled ''Mixtur 2003'', Nr. 16. History ''Mixtur'' is one of the earliest compositions for orchestra with live electronics, and is amongst the first compositions using live-electronic techniques generally. The original version for large orchestra was premiered on 9 November 1965 at the Norddeutscher Rundfunk, Hamburg. The version for reduced orchestra was premiered in the large broadcasting hall of the Hessischer Rundfunk, Frankfurt am Main, as part of the Darmstädter Ferienkurse on 23 August 1967 by the Ensemble Hudba Dneska conducted by Ladislav Kupkovič, to whom this version is d ...
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Moment Form
In music, moment form is defined as "a mosaic of moments", and, in turn, a moment is defined as a "self-contained (quasi-)independent section, set off from other sections by discontinuities". History and definition The concept of moment form, and the specific term, originated with the composition ''Kontakte'' (1958–60) by Karlheinz Stockhausen. A "moment", in Stockhausen's terminology, is any "formal unit in a particular composition that is recognizable by a personal and unmistakable character." It can be either an indivisible ''gestalt'', a structure with clear components, or a mixture of the two; and it can be static, or dynamic, or a combination of the two. "Depending on their characteristics, they can be as long or as short as you like". "Moment ''forming''", on the other hand, is a compositional approach in which a narrative overall line is deliberately avoided. The component moments in such a form are related by a nonlinear principle of proportions. If this system of propo ...
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Live Electronic Music
Live electronic music (also known as live electronics) is a form of music that can include traditional electronic sound-generating devices, modified electric musical instruments, hacked sound generating technologies, and computers. Initially the practice developed in reaction to sound-based composition for fixed media such as musique concrète, electronic music and early computer music. Musical improvisation often plays a large role in the performance of this music. The timbres of various sounds may be transformed extensively using devices such as amplifiers, filters, ring modulators and other forms of circuitry. Real-time generation and manipulation of audio using live coding is now commonplace. History 1800s–1940s Early electronic instruments Early electronic instruments intended for live performance, such as Thaddeus Cahill's Telharmonium (1897) and instruments developed between the two world wars, such as the Theremin (1919), Spharophon (1924), ondes Martenot (1928), a ...
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Ladislav Kupkovič
Ladislav Kupkovič (17 March 1936 – 15 June 2016) was a Slovak composer and conductor . Life Kupkovič was born in Bratislava, and studied violin and conducting there, first at the conservatory, then at the Academy of Performing Arts. He played violin in the Slovak Philharmonic Orchestra from 1960 to 1965, and then began to write music for television and film to make a living. At the same time, he was writing more experimental music for concerts. In 1969 he won a music scholarship to West Berlin, and emigrated there the following year. In 1971, he conducted the premiere of Karlheinz Stockhausen's ''Mixtur'' in Cologne, a piece dedicated to Kupkovič himself. In the same year, he began to teach music theory at the Hochschule für Musik und Theater Hannover, and lived in Haste near Hannover until his death. During the 1970s he was associated with the Cologne School . Wandelkonzerte Kupkovič has probably become best known for his experiments with the concert form in the ...
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Karlheinz Stockhausen
Karlheinz Stockhausen (; 22 August 1928 – 5 December 2007) was a German composer, widely acknowledged by critics as one of the most important but also controversial composers of the 20th-century classical music, 20th and early 21st-century classical music, 21st centuries. He is known for his groundbreaking work in electronic music, for introducing controlled chance (Aleatoric music, aleatory techniques) into Serialism, serial composition, and for musical spatial music, spatialization. He was educated at the Hochschule für Musik Köln and the University of Cologne, later studying with Olivier Messiaen in Paris and with Werner Meyer-Eppler at the University of Bonn. One of the leading figures of the Darmstadt School, his compositions and theories were and remain widely influential, not only on composers of art music, but also on jazz and popular music. His works, composed over a period of nearly sixty years, eschew traditional forms. In addition to electronic music—both wit ...
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Ring Modulation
In electronics, ring modulation is a signal processing function, an implementation of frequency mixing, in which two signals are combined to yield an output signal. One signal, called the carrier, is typically a sine wave or another simple waveform; the other signal is typically more complicated and is called the input or the modulator signal. A ring modulator is an electronic device for ring modulation. A ring modulator may be used in music synthesizers and as an effects unit. The name derives from the fact that the analog circuit of diodes originally used to implement this technique takes the shape of a ring: a diode ring. The circuit is similar to a bridge rectifier, except that instead of the diodes facing left or right, they face clockwise or counterclockwise. Ring modulation is quite similar to amplitude modulation, with the difference that in the latter the modulator is shifted to be positive before being multiplied with the carrier, while in the former the unshi ...
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David C
David (; , "beloved one") (traditional spelling), , ''Dāwūd''; grc-koi, Δαυΐδ, Dauíd; la, Davidus, David; gez , ዳዊት, ''Dawit''; xcl, Դաւիթ, ''Dawitʿ''; cu, Давíдъ, ''Davidŭ''; possibly meaning "beloved one". was, according to the Hebrew Bible, the third king of the United Kingdom of Israel. In the Books of Samuel, he is described as a young shepherd and harpist who gains fame by slaying Goliath, a champion of the Philistines, in southern Canaan. David becomes a favourite of Saul, the first king of Israel; he also forges a notably close friendship with Jonathan, a son of Saul. However, under the paranoia that David is seeking to usurp the throne, Saul attempts to kill David, forcing the latter to go into hiding and effectively operate as a fugitive for several years. After Saul and Jonathan are both killed in battle against the Philistines, a 30-year-old David is anointed king over all of Israel and Judah. Following his rise to power, David ...
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Rolf Gehlhaar
Rolf Rainer Gehlhaar (30 December 1943 – 7 July 2019), was an American composer, Professor in Experimental Music at Coventry University and researcher in assistive technology for music. Life Born in Breslau, Gehlhaar was the son of a German rocket scientist, who emigrated to the United States in 1953 to work at a rocket-development research centre in New Mexico. Although he took an interest in music from the age of eight or younger, in the post-war years the family could not afford for him to learn an instrument, and so Rolf only began to play the piano at the age of fifteen, and at about the same time began to compose for fun. He took American citizenship in 1958 and studied at Yale University and the University of California, Berkeley. Initially, he had studied medicine, but soon changed his major to philosophy and the philosophy of science; then at Yale he attended a course in composition, which was an arousing experience. He moved to Cologne, Germany, in 1967 to become assis ...
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Brass Instrument
A brass instrument is a musical instrument that produces sound by sympathetic vibration of air in a tubular resonator in sympathy with the vibration of the player's lips. Brass instruments are also called labrosones or labrophones, from Latin and Greek elements meaning 'lip' and 'sound'. There are several factors involved in producing different pitches on a brass instrument. Slides, valves, crooks (though they are rarely used today), or keys are used to change vibratory length of tubing, thus changing the available harmonic series, while the player's embouchure, lip tension and air flow serve to select the specific harmonic produced from the available series. The view of most scholars (see organology) is that the term "brass instrument" should be defined by the way the sound is made, as above, and not by whether the instrument is actually made of brass. Thus one finds brass instruments made of wood, like the alphorn, the cornett, the serpent and the didgeridoo, while s ...
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Johannes Fritsch
Johannes Georg Fritsch (27 July 1941 – 29 April 2010) was a German composer. At the age of seven, Fritsch found a violin in the attic of his uncle's house in Bensheim-Auerbach, Germany, and began lessons with a village music teacher named Knapp. When he was ten, his family moved to Cologne, and he began studying with the principal violist in the Gürzenich Orchestra. He studied music, sociology, and philosophy from 1961 to 1965 at the University and the Staatliche Musikhochschule in Cologne with, amongst others, Bernd Alois Zimmermann and Gottfried Michael Koenig. In the following years he applied himself to the most varied musical activities. Amongst other things he played viola in the Stockhausen-Ensemble from 1964 to 1970, and took part in the German exhibition at Expo '70, the World's Fair in Osaka in 1970. Although he had begun to compose at the age of 17, Fritsch regards as his first real composition the ''Duett für Bratsche'' (Duet for Viola), for viola and tape, ...
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Middle C
C or Do is the first note and semitone of the C major scale, the third note of the A minor scale (the relative minor of C major), and the fourth note (G, A, B, C) of the Guidonian hand, commonly pitched around 261.63  Hz. The actual frequency has depended on historical pitch standards, and for transposing instruments a distinction is made between written and sounding or concert pitch. It has enharmonic equivalents of B and D. In English the term ''Do'' is used interchangeably with C only by adherents of fixed Do solfège; in the movable Do system Do refers to the tonic of the prevailing key. Frequency Historically, concert pitch has varied. For an instrument in equal temperament tuned to the A440 pitch standard widely adopted in 1939, middle C has a frequency around 261.63 Hz (for other notes see piano key frequencies). Scientific pitch was originally proposed in 1713 by French physicist Joseph Sauveur and based on the numerically convenient frequency ...
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Fibonacci Number
In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the first few values in the sequence are: :0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. The Fibonacci numbers were first described in Indian mathematics, as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, later known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book '' Liber Abaci''. Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the '' Fibonacci Quarterly''. Applications of Fibonacci numbers includ ...
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