Octatonic
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Octatonic
An octatonic scale is any eight-Musical note, note musical scale. However, the term most often refers to the symmetric scale composed of alternating major second, whole and semitone, half steps, as shown at right. In classical theory (in contrast to jazz theory), this symmetrical scale is commonly called the ''octatonic scale'' (or the ''octatonic collection''), although there are a total of 42 enharmonically non-equivalent, transpositionally non-equivalent eight-note sets. The earliest systematic treatment of the octatonic scale was in Edmond de Polignac's unpublished treatise "Étude sur les successions alternantes de tons et demi-tons (Et sur la gamme dite majeure-mineure)" (''Study of the Succession of Alternating Whole Tones and Semitones (and of the so-called Major-Minor Scale)'') from c. 1879, which preceded Vito Frazzi's ''Scale alternate per pianoforte'' of 1930 by a full half-century. Nomenclature In Saint Petersburg at the turn of the 20th century, this scale had beco ...
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Edmond De Polignac
Prince Edmond Melchior Jean Marie de Polignac (19 April 18348 August 1901) was a French aristocrat and composer. Ancestry Edmond was a member of the Polignac family, one of the more illustrious families of France. His grandmother, the duchesse de Polignac, had been the close friend of Queen Marie Antoinette. His father, Jules de Polignac, prince de Polignac (1780–1847), was the Minister of State in the Restoration government of King Charles X and the author of the ''July Ordinances'' in 1830, which revoked the Constitution, suspended freedom of the press, and gave the king extraordinary powers, including absolute power in the name of "insuring the safety of the state". The document resulted in the development of an insurgency and resulted in the "July Revolution" that ended the reign of the Bourbons. The king and his family went into exile, and his cabinet members were tried. Jules de Polignac was captured, tried, convicted and condemned in December 1830 to ''la mort civile' ...
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Willem Pijper
Willem Frederik Johannes Pijper (; 8 September 189418 March 1947) was a Dutch composer, music critic and music teacher. Pijper is considered to be among the most important Dutch composers of the first half of the 20th century. Life Pijper was born at Zeist, near Utrecht, on 8 September 1894 of strict Calvinist working-class parents. His father, who sometimes played psalm accompaniments on the harmonium, taught him the names of the notes of the treble clef when he was five. Willem subsequently discovered the use of sharps and flats and began composing simple melodies. His fascination with symmetrical musical structures was evident even at this early age. At ten he began formal piano lessons and made rapid progress. Poor health as a child meant that he was educated at home until age 13, but in 1912, after three years study at the gymnasium (high school), Pijper entered the Utrecht Academy of Music, where he was taught composition by Johan Wagenaar, passing examinations in theoret ...
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Diminished Seventh Chord
The diminished seventh chord is a four-note chord (a seventh chord) composed of a 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 C, commonly written as C7, has pitches C–E–G–B (A): : As such, a diminished seventh chord comprises a diminished triad plus a diminished seventh. Because of this, it can also be viewed as four notes all stacked in intervals of a minor third and can be represented by the integer notation . Since a 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 harmonic minor scale. It typically has dominant function and contains two diminished fifths, which often resolve inwards. In most sheet music books, the notation Cdim or C denotes a diminished seventh ...
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Key Signature
In Western musical notation, a key signature is a set of sharp (), flat (), or rarely, natural () symbols placed on the staff at the beginning of a section of music. The initial key signature in a piece is placed immediately after the clef at the beginning of the first line. If the piece contains a section in a different key, the new key signature is placed at the beginning of that section. In a key signature, a sharp or flat symbol on a line or space of the staff indicates that the note represented by that line or space is to be played a semitone higher (sharp) or lower (flat) than it would otherwise be played. This applies through the end of the piece or until another key signature is indicated. Each symbol applies to all notes in the same pitch class—for example, a flat on the third line of the treble staff (as in the diagram) indicates that all notes appearing as Bs are played as B-flats. This convention was not universal until the late Baroque and early Classical peri ...
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Musical Scale
In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch. A scale ordered by increasing pitch is an ascending scale, and a scale ordered by decreasing pitch is a descending scale. Often, especially in the context of the common practice period, most or all of the melody and harmony of a musical work is built using the notes of a single scale, which can be conveniently represented on a staff with a standard key signature. Due to the principle of octave equivalence, scales are generally considered to span a single octave, with higher or lower octaves simply repeating the pattern. A musical scale represents a division of the octave space into a certain number of scale steps, a scale step being the recognizable distance (or interval) between two successive notes of the scale. However, there is no need for scale steps to be equal within any scale and, particularly as demonstrated by microtonal music, there is no limit to how many notes can be ...
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Vito Frazzi
Vito Frazzi (1 August 1888 – 7 July 1975) was an Italian neo-romantic composer. He was born in San Secondo Parmense, and studied at the Parma Conservatory, where he learnt composition from Guido Alberto Fano. From 1912 to 1958 he taught piano, harmony, counterpoint and composition at the Florence Conservatory; there he came into contact with Ildebrando Pizzetti, who was director of the conservatory from 1917 to 1923, and who influenced Frazzi's compositional style. Frazzi also taught at the Accademia Musicale Chigiana from 1936 to 1963. His students included Bruno Bartolozzi, Bruno Bettinelli, Valentino Bucchi, Luigi Dallapiccola and Angelo Francesco Lavagnino. He died in Florence on 7 July 1975. Works Frazzi composed symphonic, choral and chamber music, and a number of operas. ''Re Lear'' was written between 1922 and 1928, but not performed until 1939; it is loosely based on Shakespeare's ''King Lear''. ''Don Chisciotte'', to Frazzi's own libretto derived from the ''Do ...
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Nikolai Rimsky-Korsakov
Nikolai Andreyevich Rimsky-Korsakov . At the time, his name was spelled Николай Андреевичъ Римскій-Корсаковъ. la, Nicolaus Andreae filius Rimskij-Korsakov. The composer romanized his name as ''Nicolas Rimsky-Korsakow''.The BGN/PCGN transliteration of Russian is used for his name here. ALA-LC system: Nikolaĭ Andrevich Rimskiĭ-Korsakov, ISO 9 system: Nikolaj Andreevič Rimskij-Korsakov. (18 March 1844 – 21 June 1908) was a Russian composer, a member of the group of composers known as The Five. He was a master of orchestration. His best-known orchestral compositions—'' Capriccio Espagnol'', the ''Russian Easter Festival Overture'', and the symphonic suite ''Scheherazade''—are staples of the classical music repertoire, along with suites and excerpts from some of his 15 operas. ''Scheherazade'' is an example of his frequent use of fairy-tale and folk subjects. Rimsky-Korsakov believed in developing a nationalistic style of classical ...
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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 ...
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Mode (music)
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 mediaeval/modern counterparts. In the Middle Ages the term modus was used to describe both intervals and rhythm. Modal rhythm was an essential feature of the modal notation system ...
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Minor Scale
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 ...
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Tetrachord
In music theory, a tetrachord ( el, τετράχορδoν; lat, tetrachordum) is a series of four notes separated by three intervals. In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning system. History The name comes from ''tetra'' (from Greek—"four of something") and ''chord'' (from Greek ''chordon''—"string" or "note"). In ancient Greek music theory, ''tetrachord'' signified a segment of the greater and lesser perfect systems bounded by ''immovable'' notes ( ); the notes between these were ''movable'' ( ). It literally means ''four strings'', originally in reference to harp-like instruments such as the lyre or the kithara, with the implicit understanding that the four strings produced adjacent (i.e., conjunct) notes. Modern music theory uses the octave as the basic u ...
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Musical Note
In music, a note is the representation of a musical sound. Notes can represent the Pitch (music), pitch and Duration (music), duration of a sound in musical notation. A note can also represent a pitch class. Notes are the building blocks of much written music: musical analysis#Discretization, discretizations of musical phenomena that facilitate performance, comprehension, and musical analysis, analysis. The term ''note'' can be used in both generic and specific senses: one might say either "the piece 'Happy Birthday to You' begins with two notes having the same pitch", or "the piece begins with two repetitions of the same note". In the former case, one uses ''note'' to refer to a specific musical event; in the latter, one uses the term to refer to a class of events sharing the same pitch. (See also: Key signature names and translations.) Two notes with fundamental frequency, fundamental frequencies in a ratio equal to any integer power of two (e.g., half, twice, or four times ...
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