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Mode 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] |
Musical Mode
In music theory, the term mode or ''modus'' is used in a number of distinct senses, depending on context. Its most common use may be described as a type of musical scale coupled with a set of characteristic melodic and harmonic behaviors. It is applied to major and minor keys as well as the seven diatonic modes (including the former as Ionian and Aeolian) which are defined by their starting note or tonic. ( Olivier Messiaen's modes of limited transposition are strictly a scale type.) Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and Gregorian modes borrow terminology from ancient Greece, the Greek ''tonoi'' do not otherwise resemble their medieval/modern counterparts. Previously, in the Middle Ages the term modus was used to describe intervals, individual notes, and rhythms (see ). Modal rhythm was an essential ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MOLT 2
In biology, moulting (British English), or molting (American English), also known as sloughing, shedding, or in many invertebrates, ecdysis, is a process by which an animal casts off parts of its body to serve some beneficial purpose, either at specific times of the year, or at specific points in its life cycle. In medieval times, it was also known as "mewing" (from the French verb "muer", to moult), a term that lives on in the name of Britain's Royal Mews where the King's hawks used to be kept during moulting time before becoming horse stables after Tudor times. Moulting can involve shedding the epidermis (skin), pelage (hair, feathers, fur, wool), or other external layer. In some groups, other body parts may be shed, for example, the entire exoskeleton in arthropods, including the wings in some insects. Examples In birds In birds, moulting is the periodic replacement of feathers by shedding old feathers while producing new ones. Feathers are dead structures at maturity w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dominant Seventh Flat Five Chord
In music theory, the dominant seventh flat five chord is a seventh chord composed of a root note, together with a major third, a diminished fifth, and a minor seventh above the root (1, 3, 5 and 7). For example, the dominant seventh flat five chord built on G, commonly written as G75, is composed of the pitches G–B–D–F: : It can be represented by the integer notation . This chord is enharmonically equivalent to its own second inversion. That is, it has the same notes as the dominant seventh flat five chord a tritone away (although they may be spelled differently), so for instance, F75 and C75 are enharmonically equivalent. Because of this property, it readily functions as a pivot chord. It is also frequently encountered in tritone substitutions. In this sense, there are only six "unique" dominant seventh flat five chords. In diatonic harmony, the dominant seventh flat five chord does not naturally occur on any scale degree (as does, for example, the diminished ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Augmented Sixth Chord
In music theory, an augmented sixth chord contains the interval (music), interval of an augmented sixth, usually above its bass note, bass tone. This chord (music), chord has its origins in the Renaissance music, Renaissance, was further developed in the Baroque music, Baroque, and became a distinctive part of the musical style of the Classical period (music), Classical and Romantic period (music), Romantic periods. Conventionally used with a predominant chord, predominant diatonic function, function (resolution (music), resolving to the dominant (music), dominant), the three most common types of augmented sixth chords are usually called the ''Italian sixth'', the ''French sixth'', and the ''German sixth''. Augmented sixth interval The augmented sixth interval is typically between the sixth scale degree, degree of the Major and minor, minor scale, , and the raised fourth degree, . With standard voice leading, the chord is followed directly or indirectly by some form of the do ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Petrushka Chord
The Petrushka chord is a recurring polytonal device featured in Igor Stravinsky's 1911 ballet '' Petrushka,'' as well as in later compositions. It consists of two major triads separated by a tritone; when sounded together, the chords clash "horribly with each other", producing a distinctive and dissonant sound. Structure The Petrushka chord is typically defined as the simultaneous sounding of two major triads separated by a tritone. In ''Petrushka'', Stravinsky employs C major over F major. The version as played in the piano during the second tableau Taruskin, Richard (Spring, 1987). "Chez Pétrouchka – Harmony and Tonality "chez" Stravinsky", p. 269, ''19th-Century Music'', Vol. 10, No. 3, Special Issue: Resolutions I., pp. 265–286. is illustrated below: A variation of the chord, played by the clarinets, is also shown below. In this instance, the F major triad appears in first inversion: The device uses tones that, together, make up a synthetic hexatonic scale (0 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diminished Seventh Chord
The diminished seventh chord is a four-note chord (a seventh chord) composed of a Root (chord), root note, together with a minor third, a diminished fifth, and a diminished seventh above the root: (1, 3, 5, 7). For example, the diminished seventh chord built on B, commonly Chord names and symbols (popular music), written as B7, has pitches B-D-F-A: : The chord consists of a diminished triad plus the diminished seventh above the root. These four notes form a stack of three Interval (music), intervals which are all minor thirds. Since stacking yet another minor third returns to the root note, the four Inversion (music), inversions of a diminished seventh chord are symmetrical. The Pitch class#Integer notation, integer notation is . Since the diminished seventh interval is enharmonically equivalent to a major sixth, the chord is enharmonically equivalent to (1, 3, 5, 6). The diminished seventh chord occurs as a leading-tone seventh chord in the harm ... [...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] |
15 MTL
Fifteen or 15 may refer to: *15 (number) *one of the years 15 BC, AD 15, 1915, 2015 Music *Fifteen (band), a punk rock band Albums * ''15'' (Buckcherry album), 2005 * ''15'' (Ani Lorak album), 2007 * ''15'' (Phatfish album), 2008 * ''15'' (Tuki album), 2025 * ''15'' (mixtape), a 2018 mixtape by Bhad Bhabie * ''Fifteen'' (Green River Ordinance album), 2016 * ''Fifteen'' (The Wailin' Jennys album), 2017 * ''Fifteen'', a 2012 album by Colin James Songs * "Fifteen" (song), a 2008 song by Taylor Swift *"Fifteen", a song by Harry Belafonte from the album ''Love Is a Gentle Thing'' *"15", a song by Rilo Kiley from the album ''Under the Blacklight'' *"15", a song by Marilyn Manson from the album ''The High End of Low'' Other media * ''15'' (film), a 2003 Singaporean film * ''Fifteen'' (TV series), international release name of ''Hillside'', a Canadian-American teen drama * "Fifteen" (''Runaways''), an episode of ''Runaways'' *Fifteen (novel), a 1956 juvenile fiction n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lattice (order)
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join (mathematics), join) and a unique infimum (also called a greatest lower bound or meet (mathematics), meet). An example is given by the power set of a set, partially ordered by Subset, inclusion, for which the supremum is the Union (set theory), union and the infimum is the Intersection (set theory), intersection. Another example is given by the natural numbers, partially ordered by divisibility, for which the supremum is the least common multiple and the infimum is the greatest common divisor. Lattices can also be characterized as algebraic structures satisfying certain axiomatic Identity (mathematics), identities. Since the two definitions are equivalent, lattice theory draws on both order theory and universal algebra. Semilatti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Truncation
In mathematics and computer science, truncation is limiting the number of digits right of the decimal point. Truncation and floor function Truncation of positive real numbers can be done using the floor function. Given a number x \in \mathbb_+ to be truncated and n \in \mathbb_0, the number of elements to be kept behind the decimal point, the truncated value of x is :\operatorname(x,n) = \frac. However, for negative numbers truncation does not round in the same direction as the floor function: truncation always rounds toward zero, the \operatorname function rounds towards negative infinity. For a given number x \in \mathbb_-, the function \operatorname is used instead :\operatorname(x,n) = \frac. Causes of truncation With computers, truncation can occur when a decimal number is typecast as an integer; it is truncated to zero decimal digits because integers cannot store non-integer real numbers In mathematics, a real number is a number that can be used to measurem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MOLT 7
In biology, moulting (British English), or molting (American English), also known as sloughing, shedding, or in many invertebrates, ecdysis, is a process by which an animal casts off parts of its body to serve some beneficial purpose, either at specific times of the year, or at specific points in its life cycle. In medieval times, it was also known as "mewing" (from the French verb "muer", to moult), a term that lives on in the name of Britain's Royal Mews where the King's hawks used to be kept during moulting time before becoming horse stables after Tudor times. Moulting can involve shedding the epidermis (skin), pelage (hair, feathers, fur, wool), or other external layer. In some groups, other body parts may be shed, for example, the entire exoskeleton in arthropods, including the wings in some insects. Examples In birds In birds, moulting is the periodic replacement of feathers by shedding old feathers while producing new ones. Feathers are dead structures at maturity w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
