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Symmetric Scale
In music, a symmetric scale is a music scale which equally divides the octave. The concept and term appears to have been introduced by Joseph Schillinger and further developed by Nicolas Slonimsky as part of his famous ''Thesaurus of Scales and Melodic Patterns''. In twelve-tone equal temperament, the octave can only be equally divided into two, three, four, six, or twelve parts, which consequently may be filled in by adding the same exact interval or sequence of intervals to each resulting note (called "interpolation of notes"). Examples include the octatonic scale (also known as the ''symmetric diminished'' scale; its mirror image is known as the ''inverse symmetric diminished'' scale) and the two-semitone tritone scale: As explained above, both are composed of repeating sub-units within an octave. This property allows these scales to be transposed to other notes, yet retain exactly the same notes as the original scale (Translational symmetry). This may be seen quite readil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Music
Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect of all human societies, a cultural universal. While scholars agree that music is defined by a few specific elements, there is no consensus on their precise definitions. The creation of music is commonly divided into musical composition, musical improvisation, and musical performance, though the topic itself extends into academic disciplines, criticism, philosophy, and psychology. Music may be performed or improvised using a vast range of instruments, including the human voice. In some musical contexts, a performance or composition may be to some extent improvised. For instance, in Hindustani classical music, the performer plays spontaneously while following a partially defined structure and using characteristic motifs. In modal jazz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scale Degree
In music theory, the scale degree is the position of a particular note on a scale relative to the tonic, the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor. In the most general sense, the scale degree is the number given to each step of the scale, usually starting with 1 for tonic. Defining it like this implies that a tonic is specified. For instance, the 7-tone diatonic scale may become the major scale once the proper degree has been chosen as tonic (e.g. the C-major scale C–D–E–F–G–A–B, in which C is the tonic). If the scale has no tonic, the starting degree must be chosen arbitrarily. In set theory, for instance, the 12 degrees of the chromatic scale usually are numbered starting from C=0, the twelve pitch classes being numbered from 0 to 11. In a more specific sense, scale degrees are given names that indicate their particul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetry
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature ... [...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] |
Symmetric
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Double Harmonic Scale
In music, the double harmonic major scaleStetina, Troy (1999). ''The Ultimate Scale Book'', p. 59. . is a scale whose gaps may sound unfamiliar to Western listeners. This is also known as Mayamalavagowla, Bhairav Raga, Byzantine scale, Arabic (Hijaz Kar),Christiansen, Mike (2003). ''Mel Bay Complete Guitar Scale Dictionary'', p. 43. . and Gypsy major. It can be likened to a gypsy scale because of the diminished step between the 1st and 2nd degrees. ''Arabic scale'' may also refer to any Arabic mode, the simplest of which, however, to Westerners, resembles the double harmonic major scale. : Details The sequence of steps comprising the double harmonic scale is : :half, augmented second, half, whole, half, augmented second, half Or, in relation to the tonic note :minor second, major third, perfect fourth and fifth, minor sixth, major seventh, octave However, this scale is commonly represented with the first and last half step each being represented with quarter tones: : ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Melodic Minor
In music theory, the minor scale is three scale patterns – the natural minor scale (or Aeolian mode), the harmonic minor scale, and the melodic minor scale (ascending or descending) – rather than just two as with the major scale, which also has a harmonic form but lacks a melodic form. In each of these scales, the first, third, and fifth scale degrees form a minor triad (rather than a major triad, as in a major scale). In some contexts, ''minor scale'' is used to refer to any heptatonic scale with this property (see Related modes below). Natural minor scale Relationship to relative major A natural minor scale (or Aeolian mode) is a diatonic scale that is built by starting on the sixth degree of its relative major scale. For instance, the A natural minor scale can be built by starting on the 6th degree of the C major scale: : Because of this, the key of A minor is called the ''relative minor'' of C major. Every major key has a relative minor, which starts on t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dorian Mode
Dorian mode or Doric mode can refer to three very different but interrelated subjects: one of the Ancient Greek ''harmoniai'' (characteristic melodic behaviour, or the scale structure associated with it); one of the medieval musical modes; or—most commonly—one of the modern modal diatonic scales, corresponding to the piano keyboard's white notes from D to D, or any transposition of itself. : Greek Dorian mode The Dorian mode (properly ''harmonia'' or ''tonos'') is named after the Dorian Greeks. Applied to a whole octave, the Dorian octave species was built upon two tetrachords (four-note segments) separated by a whole tone, running from the ''hypate meson'' to the ''nete diezeugmenon''. In the enharmonic genus, the intervals in each tetrachord are quarter tone–quarter tone–major third. : In the chromatic genus, they are semitone–semitone–minor third. : In the diatonic genus, they are semitone–tone–tone. : In the diatonic genus, the sequence over the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Whole-tone Scale
In music, a whole-tone scale is a scale in which each note is separated from its neighbors by the interval of a whole tone. In twelve-tone equal temperament, there are only two complementary whole-tone scales, both six-note or ''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, ndthe scale creates a blurred, indistinct effect". This effect is especially emphasised by the fact that 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 symmetrical, whole-tone scales do not give a strong impression of the tonic or tonality. The composer Olivier Messiaen called the whole-tone scale his first mode of limited transposition. The composer and music the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chromatic Scale
The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone. Chromatic instruments, such as the piano, are made to produce the chromatic scale, while other instruments capable of continuously variable pitch, such as the trombone and violin, can also produce microtones, or notes between those available on a piano. Most music uses subsets of the chromatic scale such as diatonic scales. While the chromatic scale is fundamental in western music theory, it is seldom directly used in its entirety in musical compositions or improvisation. Definition The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches. As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Slendro
Slendro ( jv, ꦱ꧀ꦭꦺꦤ꧀ꦢꦿꦺꦴ, ban, slendro, translit=Sléndro) ( su, salendro, translit=Saléndro) is one of the essential tuning systems used in gamelan instruments that have pentatonic scale. Based on Javanese mythology, the Slendro Gamelan tuning system is older than the ''pélog'' tuning system. Etymology Slendro is a Javanese term for one of the scales in gamelan. It is derived either from "Sailendra", the name of the ruling family in the eighth and ninth centuries when Borobudur was built, or from its earlier being given by the god Sang Hyang Hendra. History The origin of the ''slendro'' scale is unknown. However the name ''slendro'' is derived from Sailendra, the ancient dynasty of Mataram Kingdom in Central Java, and also Srivijaya. The ''slendro'' scale is thought to be brought to Srivijaya by Mahayana Buddhists from Gandhara of India, via Nalanda and Srivijaya from there to Java and Bali. It is similar to scales used in Indian and Chinese music a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reflection Symmetry
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry. An object or figure which is indistinguishable from its transformed image is called mirror symmetric. In conclusion, a line of symmetry splits the shape in half and those halves should be identical. Symmetric function In formal terms, a mathematical object is symmetric with respect to a given operation such as reflection, rotation or translation, if, when applied to the object, this operation preserves some property of the object. The set of operations that preserve a given property of the object form a group. Two objects are symmetric to each other with respect to a given group of operations if one is obtained from the other by some of the operations (and vice versa). The symm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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