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Sixth (interval)
Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals between pairs of notes in contemporary Western music theory, without consideration of the way in which they are tuned, see . Terminology *The '' prime limit'' Fox, Christopher (2003). "Microtones and Microtonalities", ''Contemporary Music Review'', v. 22, pt. 1–2. (Abingdon, Oxfordshire, UK: Routledge): p. 13. henceforth referred to simply as the ''limit'', is the largest prime number occurring in the factorizations of the numerator and denominator of the frequency ratio describing a rational interval. For instance, the limit of the just perfect fourth (4:3) is 3, but the just minor tone (10:9) has a limit of 5, because 10 can be factored into (and 9 into ). There exists another type of limit, the '' odd limit'', a concept used by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meantone Comparison
Meantone temperaments are musical temperaments; that is, a variety of Musical tuning#Tuning systems, tuning systems constructed, similarly to Pythagorean tuning, as a sequence of equal fifths, both rising and descending, scaled to remain within the same octave. But rather than using perfect fifths, consisting of frequency ratios of value 3:2, these are ''tempered'' by a suitable factor that narrows them to ratios that are slightly less than 3:2, in order to bring the major or minor thirds closer to Just intonation, the just intonation ratio of 5:4 or 6:5 , respectively. Among temperaments constructed as a sequence of fifths, a regular temperament is one in which all the fifths are chosen to be of the same size. Twelve-tone equal temperament () is obtained by making all semitones the same size, with each equal to one-twelfth of an octave; i.e. with ratios . Relative to Pythagorean tuning, it narrows the perfect fifths by about 2 cents (music), cents or of a Pythagorean co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kyle Gann
Kyle Eugene Gann (born November 21, 1955, in Dallas, Texas) is an American composer, professor of music, critic, analyst, and musicologist who has worked primarily in the New York City area. As a music critic for ''The Village Voice'' (from 1986 to 2005) and other publications, he has supported progressive music, including such "downtown" movements as postminimalism and totalism. Biography Gann was born in 1955 and raised in a musical family. He began composing at the age of 13. After graduating in 1973 from Dallas's Skyline High School, he attended Oberlin Conservatory of Music, where he obtained a B.Mus. in 1977, and Northwestern University, where he received his M.Mus. and D.Mus. in 1981 and 1983, respectively. As well as studying composition with Randolph Coleman at Oberlin, he also studied Renaissance counterpoint with Greg Proctor at the University of Texas at Austin. He studied composition primarily with Ben Johnston (1984–86) and Peter Gena (1977–81), and briefly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tonic (music)
In music, the tonic is the first scale degree () of the diatonic scale (the first note of a scale) and the tonal center or final resolution tone that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as ''do''. More generally, the tonic is the note upon which all other notes of a piece are hierarchically referenced. Scales are named after their tonics: for instance, the tonic of the C major scale is the note C. The triad formed on the tonic note, the tonic chord, is thus the most significant chord in these styles of music. In Roman numeral analysis, the tonic chord is typically symbolized by the Roman numeral "" if it is major and by "" if it is minor. These chords may also appear as seventh chords: in major, as M7, or in minor as 7 or rarely M7: The tonic is distinguished from the root, which is the reference note of a chord, rathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Genesis Of A Music
''Genesis of a Music'' is a book first published in 1949 by microtonal composer Harry Partch (1901–1974). Partch first presents a polemic against both equal temperament and the long history of stagnation in the teaching of music; according to Alex Ross, this is "the most startling forty-five-page history of music ever written". In particular, Partch holds Johann Sebastian Bach responsible for "the movement toward equal-tempered tuning, which meant that composers could not absorb the scales of other world traditions; and the urge to make music ever more instrumental and abstract." He then goes on to explain his tuning theory based on just intonation, the ensemble of musical instruments of his own invention (such as the "Surrogate Kithara, a struck-string, harplike instrument", and the guitar with movable frets he used to compose ''Barstow''), and several of his largest musical compositions. The book has been highly influential to succeeding generations of microtonal compose ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Huygens-Fokker Foundation
The Huygens-Fokker Foundation () is a "centre for microtonal music" founded on February 15, 1960, housed in the Muziekgebouw aan 't IJ (Amsterdam, Netherlands), and named for Christiaan Huygens and Adriaan Fokker (inventor of 31 equal temperament and creator of the Fokker organ). The Foundation's library possesses a large archive of correspondence, scores, books, and other publications. The Foundation presents frequent concerts (originally in Teylers Museum) presenting contemporary, early, popular, and improvised microtonal music. They maintain contact with other organizations dedicated to microtonality including Tonalsoft, the Harry Partch Institute, the Logos Foundation, and individuals such as Kyle Gann Kyle Eugene Gann (born November 21, 1955, in Dallas, Texas) is an American composer, professor of music, critic, analyst, and musicologist who has worked primarily in the New York City area. As a music critic for ''The Village Voice'' (from 1986 .... They published the j ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unison
Unison (stylised as UNISON) is a Great Britain, British trade union. Along with Unite the Union, Unite, Unison is one of the two largest trade unions in the United Kingdom, with over 1.2 million members who work predominantly in public services, including local government, education, health and outsourcing, outsourced services. The union was formed in 1993 when three public sector trade unions, the National Association of Local Government Officers, National and Local Government Officers Association (NALGO), the National Union of Public Employees (NUPE) and the Confederation of Health Service Employees (COHSE) merged. UNISON's current general secretary is Christina McAnea, who replaced Dave Prentis in 2021. Members and organisation Members of UNISON are typically from industries within the public sector and generally cover both full-time and part-time support and administrative staff. The majority of people joining UNISON are workers within sectors such as local government, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perspectives Of New Music
''Perspectives of New Music'' (PNM) is a peer-reviewed academic journal specializing in music theory Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory": The first is the "Elements of music, ... and analysis. It was established in 1962 by Arthur Berger and Benjamin Boretz (who were its initial editors-in-chief). ''Perspectives'' was first published by the Princeton University Press, initially supported by the Fromm Music Foundation.David Carson Berry, "''Journal of Music Theory'' under Allen Forte's Editorship," '' Journal of Music Theory'' 50/1 (2006), 21, n49. The first issue was favorably reviewed in the '' Journal of Music Theory'', which observed that Berger and Boretz had produced "a first issue which sustains such a high quality of interest and cogency among its articles that one suspects the long delay precedin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ben Johnston (composer)
Benjamin Burwell Johnston Jr. (March 15, 1926 – July 21, 2019) was an American contemporary music composer, known for his use of just intonation. He was called "one of the foremost composers of microtonal music" by Philip Bush and "one of the best non-famous composers this country has to offer" by John Rockwell. Biography Johnston was born in Macon, Georgia, and taught composition and theory at the University of Illinois at Urbana–Champaign from 1951 to 1986, before retiring to North Carolina. During his time teaching, he was in contact with avant-garde figures such as John Cage, La Monte Young, and Iannis Xenakis. Johnston's students included Stuart Saunders Smith, Neely Bruce, Thomas Albert, Michael Pisaro, Manfred Stahnke, and Kyle Gann. He also considered his practice of just intonation to have influenced other composers, including Larry Polansky. In 1946 he married dance band singer Dorothy Haines, but they soon divorced. In 1950 he married artist Betty Hall, who ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Fonville
John Fonville is a flutist and composer. Fonville specializes in extended techniques on the flute, especially microtonality, and performs on instruments including a complete set of quarter tone ( Kingma system) flutes.John Fonville , ''Music.UCSD.edu''. Accessed September 05, 2014. He has premiered works by composers including Ben Johnston, Salvatore Martirano, Joji Yuasa, Roger Reynolds, Hiroyuki Itoh, and Paul Koonce. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Superparticular Ratio
In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers. More particularly, the ratio takes the form: :\frac = 1 + \frac where is a positive integer. Thus: Superparticular ratios were written about by Nicomachus in his treatise ''Introduction to Arithmetic''. Although these numbers have applications in modern pure mathematics, the areas of study that most frequently refer to the superparticular ratios by this name are music theory and the history of mathematics. Mathematical properties As Leonhard Euler observed, the superparticular numbers (including also the multiply superparticular ratios, numbers formed by adding an integer other than one to a unit fraction) are exactly the rational numbers whose simple continued fraction terminates after two terms. The numbers whose continued fraction terminates in one term are the integers, while the remaining numbers, with three or more terms in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equal Temperament
An equal temperament is a musical temperament or Musical tuning#Tuning systems, tuning system that approximates Just intonation, just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequency, frequencies of any adjacent pair of notes is the same. This system yields Pitch (music), pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the twelfth root of two, 12th root of 2, (\sqrt[12] ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western world, Western countries the term ''equal temperamen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
