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Whole Tone Scale
In music, a whole-tone scale is a scale (music), scale in which each Musical note, note is separated from its neighbors by the interval (music), interval of a whole tone. In twelve-tone equal temperament, there are only two Complement (music)#Aggregate complementation, complementary whole-tone scales, both six-note or ''Hexatonic scale, hexatonic'' scales. A single whole-tone scale can also be thought of as a "six-tone equal temperament". : : The whole-tone scale has no leading tone and because all tones are the same distance apart, "no single tone stands out, [and] the scale creates a blurred, indistinct effect". This effect is especially emphasised by the fact that triad (music), triads built on such scale tones are all augmented triads. Indeed, all six tones of a whole-tone scale can be played simply with two augmented triads whose roots are a major second apart. Since they are symmetric scale, symmetrical, whole-tone scales do not give a strong impression of the tonic ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maximal Evenness
In scale (music) theory, a maximally even set (scale) is one in which every generic interval has either one or two consecutive integers specific intervals-in other words a scale whose notes (pcs) are "spread out as much as possible." This property was first described by John Clough and Jack Douthett. Clough and Douthett also introduced the maximally even algorithm. For a chromatic cardinality ''c'' and pc-set cardinality ''d'' a maximally even set is D = where ''k'' ranges from 0 to ''d'' − 1 and ''m'', 0 ≤ ''m'' ≤ ''c'' − 1 is fixed and the bracket pair is the floor function. A discussion on these concepts can be found in Timothy Johnson's book on the mathematical foundations of diatonic scale theory. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. A scale is said to have Myhill's property if every generic interval comes in two specific interval sizes, and a scale with Myhill's property is said to be a well-formed s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tonality
Tonality is the arrangement of pitch (music), pitches and / or chord (music), chords of a musical work in a hierarchy of perceived ''relations'', ''stabilities'', ''attractions'', and ''directionality''. In this hierarchy, the single pitch or the root (music), root of a triad (music), triad with the greatest ''stability'' in a melody or in its harmony is called the tonic (music), ''tonic''. In this context "stability" approximately means that a pitch occurs frequently in a melody – and usually is the final note – or that the pitch often appears in the harmony, even when it is not the pitch used in the melody. The ''root'' of the tonic triad forms the name given to the key (music), key, so in the key of C major, C major the note C can be both the tonic of the scale (music), scale and the root of the tonic triad. However, the tonic can be a different Musical tone, tone in the same scale, and then the work is said to be in one of the mode (music), ''modes'' of that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proceedings Of The Royal Musical Association
In academia and librarianship, conference proceedings are a collection of academic papers published in the context of an academic conference or workshop. Conference proceedings typically contain the contributions made by researchers at the conference. They are the written record of the work that is presented to fellow researchers. In many fields, they are published as supplements to academic journals; in some, they are considered the main dissemination route; in others they may be considered grey literature. They are usually distributed in printed or electronic volumes, either before the conference opens or after it has closed. A less common, broader :wikt:proceedings, meaning of proceedings are the acts and happenings of an discipline (academia), academic field, a learned society. For example, the title of the ''Acta Crystallographica'' journals is Neo-Latin for "Proceedings in Crystallography"; the ''Proceedings of the National Academy of Sciences of the United States of America' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semitone
A semitone, also called a minor second, half step, or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between two adjacent notes in a 12-tone scale (or half of a whole step), visually seen on a keyboard as the distance between two keys that are adjacent to each other. For example, C is adjacent to C; the interval between them is a semitone. In a 12-note approximately equally divided scale, any interval can be defined in terms of an appropriate number of semitones (e.g. a whole tone or major second is 2 semitones wide, a major third 4 semitones, and a perfect fifth 7 semitones). In music theory, a distinction is made between a diatonic semitone, or minor second (an interval encompassing two different staff positions, e.g. from C to D) and a chromatic semitone or augmented unison (an interval between two notes at the same staff position, e.g. f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mystic Chord
In music, the mystic chord or Prometheus chord is a six-note synthetic chord and its associated scale (music), scale, or pitch collection; which loosely serves as the harmony, harmonic and melody, melodic basis for some of the later pieces by Russian composer Alexander Scriabin. Scriabin, however, did not use the chord directly but rather derived material from its transposition (music), transpositions. When rooted in C, the mystic chord consists of the pitch classes: C, F, B, E, A, D. This is often interpreted as a quartal and quintal harmony, quartal hexachord consisting of an augmented fourth, diminished fourth, augmented fourth, and two perfect fourths. The chord is related to other pitch collections, such as being a hexatonic subset of the acoustic scale, overtone scale, also known in jazz circles as the Lydian dominant scale, lacking the perfect fifth. Nomenclature The term "mystic chord" appears to derive from Alexander Scriabin's intense interest in Theosophy, and the ch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Scriabin
Alexander Nikolayevich Scriabin, scientific transliteration: ''Aleksandr Nikolaevič Skrjabin''; also transliterated variously as Skriabin, Skryabin, and (in French) Scriabine. The composer himselused the French spelling "Scriabine" which was also the most popular spelling used in English-language publications during his lifetime. First editions of his works used the RomanizationsScriabine,Scriàbine, andSkrjábin"., group=n () was a Russian composer and pianist. Before 1903, Scriabin was greatly influenced by the music of Frédéric Chopin and composed in a relatively tonal, late- Romantic idiom. Later, and independently of his influential contemporary Arnold Schoenberg, Scriabin developed a much more dissonant musical language that had transcended usual tonality but was not atonal, which accorded with his personal brand of metaphysics. Scriabin found significant appeal in the concept of Gesamtkunstwerk as well as synesthesia, and associated colours with the various harmonic t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Generated Collection
In music theory, a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the chromatic circle until a complete collection or scale is formed. All scales with the deep scale property can be generated by any interval coprime with the number of notes per octave. (Johnson, 2003, p. 83) The C major diatonic collection can be generated by adding a cycle of perfect fifths (C7) starting at F: F-C-G-D-A-E-B = C-D-E-F-G-A-B. Using integer notation and 12-tone equal temperament, the standard tuning of Western music: 5 + 7 = 0, 0 + 7 = 7, 7 + 7 = 2, 2 + 7 = 9, 9 + 7 = 4, 4 + 7 = 11. The C major scale could also be generated using cycle of perfect fourths (C5), as 12 minus any coprime of twelve is also coprime with twelve: 12 − 7&nbs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interval Cycle
In music, an interval cycle is a set (music), collection of pitch classes created from a sequence of the same interval class.Whittall, Arnold. 2008. ''The Cambridge Introduction to Serialism'', p. 273-74. New York: Cambridge University Press. (pbk). In other words, a collection of pitch (music), pitches by starting with a certain Musical note, note and going up by a certain interval (music), interval until the original note is reached (e.g. starting from C, going up by 3 semitones repeatedly until eventually C is again reached - the cycle is the collection of all the notes met on the way). In other words, interval cycles "unfold a single recurrent interval in a series that closes with a return to the initial pitch class". See: wikt:cycle. Interval cycles are notated by George Perle using the letter "C" (for ''cycle''), with an interval class integer to distinguish the interval. Thus the diminished seventh chord would be C3 and the augmented triad would be C4. A superscript may be a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George Perle
George Perle (6 May 1915 – 23 January 2009) was an American composer and music theory, music theorist. As a composer, his music was largely atonality, atonal, using methods similar to the twelve-tone technique of the Second Viennese School. This serialism, serialist style, and atonality in general, was the subject of much of his theoretical writings. His 1962 book, ''Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern'' remains a standard text for 20th-century classical music theory. Among Perle's awards was the 1986 Pulitzer Prize for Music for his Wind Quintet No. 4 (Perle), Wind Quintet No. 4. Life and career Perle was born in Bayonne, New Jersey, to History of the Jews in Russia, Russian Jewish parents. He graduated from DePaul University, where he studied with Wesley LaViolette and received private lessons from Ernst Krenek. Later, he served as a technician fifth grade in the United States Army during World War II. He earned his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modes Of Limited Transposition
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited". They were compiled by the French composer Olivier Messiaen, and published in his book ''La technique de mon langage musical'' ("The Technique of my Musical Language"). Technical criteria There are two complementary ways to view the modes: considering their possible transpositions, and considering the different modes contained within them. Definition by chromatic transposition Transposing the diatonic major scale up in semitones results in a different set of notes being used each time. For example, C major consists of C, D, E, F, G, A, B, and the scale a semitone higher (D major) consists of D, E, F, G, A, B, C. By transposing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Olivier Messiaen
Olivier Eugène Prosper Charles Messiaen (, ; ; 10 December 1908 – 27 April 1992) was a French composer, organist, and ornithology, ornithologist. One of the major composers of the 20th-century classical music, 20th century, he was also an outstanding teacher of composition and musical analysis. Messiaen entered the Conservatoire de Paris at age 11 and studied with Paul Dukas, Maurice Emmanuel, Charles-Marie Widor and Marcel Dupré, among others. He was appointed organist at the Église de la Sainte-Trinité, Paris, in 1931, a post he held for 61 years, until his death. He taught at the Schola Cantorum de Paris during the 1930s. After the Battle of France, fall of France in 1940, Messiaen was interned for nine months in the German prisoner of war camp Stalag VIII-A, where he composed his (''Quartet for the End of Time'') for the four instruments available in the prison—piano, violin, cello and clarinet. The piece was first performed by Messiaen and fellow prisoners for an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
