|
Microtonal
Microtonal music or microtonality is the use in music of microtones—intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave. In other words, a microtone may be thought of as a note that falls between the keys of a piano tuned in equal temperament. In ''Revising the musical equal temperament,'' Haye Hinrichsen defines equal temperament as “the frequency ratios of all intervals are invariant under transposition (translational shifts along the keyboard), i.e., to be constant. The standard twelve-tone ''equal temperament'' (ET), which was originally invented in ancient China and rediscovered in Europe in the 16th century, is determined by two additional conditions. Firstly the octave is divided into twelve semitones. Secondly the octave, the most fundamental of all intervals, is postulated to be pure (beatless), as described by the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equal Temperament
An equal temperament is a musical temperament or tuning system, which approximates just intervals by dividing an octave (or other interval) into equal steps. This means the ratio of the frequencies of any adjacent pair of notes is the same, which gives an equal perceived step size as pitch is perceived roughly as the logarithm of frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been twelve-tone equal temperament (also known as 12 equal temperament, 12-TET or 12-ET; informally abbreviated to twelve equal), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the 12th root of 2 ( ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western countries the term ''equal temperament'', without qualification, generally means 12-TET. In modern times, 12-TET is usually tuned relative to a standard pitch of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equal Temperament
An equal temperament is a musical temperament or tuning system, which approximates just intervals by dividing an octave (or other interval) into equal steps. This means the ratio of the frequencies of any adjacent pair of notes is the same, which gives an equal perceived step size as pitch is perceived roughly as the logarithm of frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been twelve-tone equal temperament (also known as 12 equal temperament, 12-TET or 12-ET; informally abbreviated to twelve equal), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the 12th root of 2 ( ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western countries the term ''equal temperament'', without qualification, generally means 12-TET. In modern times, 12-TET is usually tuned relative to a standard pitch of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ezra Sims
Ezra Sims (January 16, 1928 in Birmingham, Alabama — January 30, 2015 in Boston, Massachusetts) was one of the pioneers in the field of microtonal composition. He invented a system of notation that was adopted by many microtonal composers after him, including Joseph Maneri. His professional debut (12 note ET music) occurred on a Composers Forum program in New York, 1959. In 1960, compelled by his ear, he began writing microtonal music, and continued to do so for the rest of his life, with the occasional exception being taped music for dancers. His last composition in quarter tones (his sixth microtonal one) was his ''Third Quartet'' (1962). Since 1971, whatever music he has composed that is not purely electronic has employed a system of asymmetrical modes of 18 pitches per octave, drawn from a 72-note division of the octave. I seem finally to have identified and made transcribable what my ear was after all along: a set of pitches ordered in an asymmetrical scale of 18 (or 19 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Just Intonation
In music, just intonation or pure intonation is the tuning of musical intervals Interval may refer to: Mathematics and physics * Interval (mathematics), a range of numbers ** Partially ordered set#Intervals, its generalization from numbers to arbitrary partially ordered sets * A statistical level of measurement * Interval e ... as whole number ratios (such as 3:2 or 4:3) of Frequency, frequencies. An interval (music), interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a single harmonic series (music), harmonic series of an implied fundamental frequency, fundamental. For example, in the diagram, if the notes G3 and C4 (labelled 3 and 4) are tuned as members of the harmonic series of the lowest C, their frequencies will be 3 and 4 times the fundamental frequency. The interval ratio between C4 and G3 is therefore 4:3, a just fourth (music), fourth. In Western musical practice ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Julián Carrillo
Julián Carrillo Trujillo (January 28, 1875 – September 9, 1965) was a Mexican composer,Camp, Roderic Ai (1995). "Carrillo (Flores), Nabor" on ''Mexican Political Biographies, 1935–1993: Third Edition'', p. 121. . conductor, violinist and music theorist, famous for developing a theory of microtonal music which he dubbed "The Thirteenth Sound" ( Sonido 13). Biography Carrillo was born on January 28, 1875, in Ahualulco, a village in the state of San Luis Potosí. He was the last of the 19 children of Nabor Carrillo and Antonia Trujillo. Early education Carrillo sang in the children's choir of Ahualulco's church. The choir's conductor, Flavio F. Carlos, encouraged him to study music in the state capital, San Luis Potosí. He planned to study for two years, then return to Ahualulco as the church's singer, but problems prevented this plan. He arrived to San Luis Potosí City in 1885 and began to study with Flavio F. Carlos, teacher to several generations of San L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Byzantine Chant
Byzantine music (Greek: Βυζαντινή μουσική) is the music of the Byzantine Empire. Originally it consisted of songs and hymns composed to Greek texts used for courtly ceremonials, during festivals, or as paraliturgical and liturgical music. The ecclesiastical forms of Byzantine music are the best known forms today, because different Orthodox traditions still identify with the heritage of Byzantine music, when their cantors sing monodic chant out of the traditional chant books such as the Sticherarion, which in fact consisted of five books, and the Irmologion. Byzantine music did not disappear after the fall of Constantinople. Its traditions continued under the Patriarch of Constantinople, who after the Ottoman conquest in 1453 was granted administrative responsibilities over all Eastern Orthodox Christians in the Ottoman Empire. During the decline of the Ottoman Empire in the 19th century, burgeoning splinter nations in the Balkans declared autonomy or autocephaly f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quarter Tone
A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (aurally, or logarithmically) as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches. Quarter tone has its roots in the music of the Middle East and more specifically in Persian traditional music. However, the first evidenced proposal of quarter tones, or the quarter-tone scale (24 equal temperament), was made by 19th-century music theorists Heinrich Richter in 1823Julian Rushton, "Quarter-Tone", ''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell (London: Macmillan, 2001). and Mikhail Mishaqa about 1840. Composers who have written music using this scale include: Pierre Boulez, Julián Carrillo, Mildred Couper, George Enescu, Alberto Ginastera, Gérard Grisey, Alois Hába, Ljubica Marić, Charles Ives, Tristan Murail, Krzysztof Pendere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Comma (music)
In music theory, a comma is a very small interval, the difference resulting from tuning one note two different ways. Strictly speaking, there are only two kinds of comma, the syntonic comma, "the difference between a just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma, "the difference between twelve 5ths and seven octaves". The word ''comma'' used without qualification refers to the syntonic comma, which can be defined, for instance, as the difference between an F tuned using the D-based Pythagorean tuning system, and another F tuned using the D-based quarter-comma meantone tuning system. Intervals separated by the ratio 81:80 are considered the same note because the 12-note Western chromatic scale does not distinguish Pythagorean intervals from 5-limit intervals in its notation. Other intervals are considered commas because of the enharmonic equivalences of a tuning system. For example, in 53TET, B and A are both approximated by the same inte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark Lindley
Mark Lindley (born 1937) is a noted musicologist and, more recently, a historian of modern India, and a teacher of economics. Born in Washington, D.C., he studied at Harvard University (A.B.), the Juilliard School of Music (M.S.) and Columbia University (D. Phil.). He has taught at various universities, including Columbia University, City University of New York, Washington University, University of London, Oxford University, University of Regensburg, Chinese University of Hong Kong, University of Kerala, Istanbul Technical University, Yildiz Technical University, Bogaziçi University, and the University of Hyderabad, where he served in 2015 as the University Chair professor in the School of Economics. He has also lectured on economics at Gujarat Vidyapith, at Dr. Babasaheb Ambedkar Marathwada University and at the Gokhale Institute of Politics and Economics. He has held research fellowships at the Gandhi Research Foundation, and was a visiting professor in 2016 at the University of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diaschisma
The diaschisma (or diacisma) is a small musical interval defined as the difference between three octaves and four perfect fifths plus two major thirds (in just intonation). It can be represented by the ratio 2048:2025 and is about 19.5 cents. The use of the name diaschisma for this interval is due to Helmholtz; earlier Rameau had called that interval a "diminished comma" or comma minor. A diaschisma is the difference between a schisma and a syntonic comma, as well as the difference between the greater chromatic semitone (135:128 = 92.18 cents) and the just minor second (16:15 = 111.73 cents). (1897). Columbian cyclopedia, Volume 9', np. Garretson, Cox & Company. pre-ISBN. Medieval theorists Boethius and Tinctoris described the diaschisma as one-half of the Pythagorean minor second, or 256/243, which would make the other half either 25/24 (70.67 cents) or about 45 cents. The diaschisma may be approximated by 89/88, 19.56 cents. Tempering out the diaschisma, in the modern mea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Griffiths (writer)
Paul Anthony Griffiths (born 1947) is a British music critic, novelist and librettist. He is particularly noted for his writings on modern classical music and for having written the libretti for two 20th century operas, Tan Dun's ''Marco Polo'' and Elliott Carter's ''What Next?''. Career Paul Griffiths was born on 24 November 1947 in the Welsh town of Bridgend to Fred and Jeanne Griffiths. He received his BA and MSc in biochemistry from University of Oxford, and from 1971 worked as a freelance music critic. He joined the editorial staff of ''The New Grove Dictionary of Music and Musicians'' in 1973 and in 1982 became the chief music critic for ''The Times'', a post which he held for ten years. From 1992 to 1996, he was a music critic for ''The New Yorker'', and from 1997 to 2005, for ''The New York Times''. A collection of his musical criticism for these and other periodicals was published in 2005 as ''The substance of things heard: writings about music'', Volume 31 of ''Eas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> Byzantine Chant")
