|
2023-10-28 14 34 48
In music theory, a trichord () is a group of three different pitch classes found within a larger group. A trichord is a contiguous three-note set from a musical scale or a twelve-tone row. In musical set theory there are twelve trichords given inversional equivalency, and, without inversional equivalency, nineteen trichords. These are numbered 1–12, with symmetrical trichords being unlettered and with uninverted and inverted nonsymmetrical trichords lettered A or B, respectively. They are often listed in prime form, but may exist in different voicings; different inversions at different transpositions. For example, the major chord, 3-11B (prime form: ,4,7, is an inversion of the minor chord, 3-11A (prime form: ,3,7. 3-5A and B are the Viennese trichord (prime forms: ,1,6and ,5,6. Historical Russian definition In late-19th to early 20th-century Russian musicology, the term trichord (трихорд ()) meant something more specific: a set of three pitches, each at least ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pentatonic Scale
A pentatonic scale is a musical scale with five notes per octave, in contrast to heptatonic scales, which have seven notes per octave (such as the major scale and minor scale). Pentatonic scales were developed independently by many ancient civilizations and are still used in various musical styles to this day. As Leonard Bernstein put it: "The universality of this scale is so well known that I'm sure you could give me examples of it, from all corners of the earth, as from Scotland, or from China, or from Africa, and from American Indian cultures, from East Indian cultures, from Central and South America, Australia, Finland ...now, that is a true musico-linguistic universal." There are two types of pentatonic scales: Those with semitones (hemitonic) and those without (anhemitonic). Types Hemitonic and anhemitonic Musicology commonly classifies pentatonic scales as either ''hemitonic'' or ''anhemitonic''. Hemitonic scales contain one or more semitones and anhemitonic s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Suspended Chord
A suspended chord (or sus chord) is a musical chord (music), chord in which the (major third, major or minor third, minor) third is omitted and replaced with a perfect fourth or a major second. The lack of a minor or a major third in the chord creates an voicing (music), open sound, while the Consonance and dissonance, dissonance between the fourth and fifth or second and root creates tension. When using Chord names and symbols (popular music), popular-music symbols, they are indicated by the symbols "sus4" and "sus2". For example, the suspended fourth and second chords built on C (C–E–G), written as Csus4 and Csus2, have pitches C–F-G and C–D-G, respectively. Suspended fourth and second chords can be represented by the Pitch class#Integer notation, integer notation and , respectively. Analysis The term is borrowed from the counterpoint, contrapuntal technique of ''Nonchord tone#Suspension, suspension'', where a note from a previous chord is carried over to the next chord ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Augmented Triad
An augmented triad is a chord, made up of two major thirds (an augmented fifth). The term ''augmented triad'' arises from an augmented triad being considered a major chord whose top note (fifth) is raised. When using popular-music symbols, it is indicated by the symbol "+" or "aug". For example, the augmented triad built on A, written as A+, has pitches A-C-E: The chord can be represented by the integer notation . Analysis Whereas a major triad, such as C–E–G, contains a major third (C–E) and a minor third (E–G), with the interval of the fifth (C–G) being perfect, the augmented triad has an augmented fifth, becoming C–E–G. In other words, the top note is raised a semitone. H.R. Palmer notes: The augmented chord on I may contain the major seventh (I () or I ()), while the augmented chord on V may contain the minor seventh (V (), V (), or V ()). In C: C–E–G–B and G–B–D–F. The augmented triad on the V may be used as a substitute dominant, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
12TET
12 equal temperament (12-ET) is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (\sqrt 2/math> ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. Twelve-tone equal temperament is the most widespread system in music today. It has been the predominant tuning system of Western music, starting with classical music, since the 18th century, and Europe almost exclusively used approximations of it for millennia before that. It has also been used in other cultures. In modern times, 12-ET is usually tuned relative to a standard pitch of 440 Hz, called A440, meaning one note, A4 (the A in the 4th octave of a typical 88-key piano), is tuned to 440 hertz and all other notes are defined as some multiple of semitones apart from it, either higher or lower in frequency. The standard pitch has not always been 4 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triad (music)
In music, a triad is a set of three notes (or "pitch classes") that can be stacked vertically in thirds.Ronald Pen, ''Introduction to Music'' (New York: McGraw-Hill, 1992): 81. . "A triad is a set of notes consisting of three notes built on successive intervals of a third. A triad can be constructed upon any note by adding alternating notes drawn from the scale.... In each case the note that forms the foundation pitch is called the ''root'', the middle tone of the triad is designated the ''third'' (because it is separated by the interval of a third from the root), and the top tone is referred to as the ''fifth'' (because it is a fifth away from the root)." Triads are the most common chord (music), chords in Western music. When stacked in thirds, notes produce triads. The triad's members, from lowest-pitched tone to highest, are called: * the root **Note: Inversion (music)#Inverted chords, Inversion does not change the root. (The third or fifth can be the lowest note.) * the third ... [...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] |
Howard Hanson
Howard Harold Hanson (October 28, 1896 – February 26, 1981)''The New York Times'' – Obituaries. Harold C. Schonberg. February 28, 1981 p. 1011/ref> was an American composer, conductor, educator and music theorist. As director for forty years of the Eastman School of Music, he raised its quality and provided opportunities for commissioning and performing American classical music. In 1944, he won a Pulitzer Prize for his Symphony No. 4, and received numerous other awards, including the George Foster Peabody Award for Outstanding Entertainment in Music in 1946. Early life and education Hanson was born in Wahoo, Nebraska, to Swedish immigrant parents, Hans and Hilma (née Eckstrom) Hanson. In his youth he studied music with his mother. Later, he studied at Luther College in Wahoo, receiving a diploma in 1911, then at the Institute of Musical Art, the forerunner of the Juilliard School, in New York City, where he studied with the composer and music theorist Percy Goetschiu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Allen Forte
Allen Forte (December 23, 1926 – October 16, 2014) was an American music theorist and musicologist. He was Battell Professor Emeritus of the Theory of Music at Yale University and specialized in 20th-century atonal music and music analysis. Early life and education Forte was born in Portland, Oregon. At the age of ten he appeared "on a ocalradio show as a solo pianist among a bevy of similarly youthful performers," where he played the music of Cole Porter and others. He was in the US Navy and served in the Pacific Theatre toward the end of World War II. Afterwards, he relocated to New York City to study music at Columbia University where he received his bachelor's, master's, and doctoral degrees. There, he studied composition with Otto Luening and Vladimir Ussachevsky, although his main interests were forming around music theory and analysis. Academic career In the late 1950s, Forte taught music at various New York institutions: Columbia University Teachers College, Man ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Milton Babbitt
Milton Byron Babbitt (May 10, 1916 – January 29, 2011) was an American composer, music theorist, mathematician, and teacher. He was a Pulitzer Prize and MacArthur Fellowship recipient, recognized for his serial and electronic music. Biography Babbitt was born in Philadelphia to Albert E. Babbitt and Sarah Potamkin, who were Jewish. He was raised in Jackson, Mississippi, and began studying the violin when he was four but soon switched to clarinet and saxophone. Early in his life he was attracted to jazz and theater music, and "played in every pit-orchestra that came to town". Babbitt was making his own arrangements of popular songs by age 7, "wrote a lot of pop tunes for school productions", and won a local songwriting contest when he was 13. A Jackson newspaper called Babbitt a "whiz kid" and noted "that he had perfect pitch and could add up his family's grocery bills in his head. In his teens he became a great fan of jazz cornet player Bix Beiderbecke". Babbitt's father was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmony
In music, harmony is the concept of combining different sounds in order to create new, distinct musical ideas. Theories of harmony seek to describe or explain the effects created by distinct pitches or tones coinciding with one another; harmonic objects such as chords, textures and tonalities are identified, defined, and categorized in the development of these theories. Harmony is broadly understood to involve both a "vertical" dimension (frequency-space) and a "horizontal" dimension (time-space), and often overlaps with related musical concepts such as melody, timbre, and form. A particular emphasis on harmony is one of the core concepts underlying the theory and practice of Western music. The study of harmony involves the juxtaposition of individual pitches to create chords, and in turn the juxtaposition of chords to create larger chord progressions. The principles of connection that govern these structures have been the subject of centuries worth of theoretical work ... [...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] |
