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Chromatic Harmony
Chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. In simple terms, within each octave, diatonic music uses only seven different notes, rather than the twelve available on a standard piano keyboard. Music is chromatic when it uses more than just these seven notes. Chromaticism is in contrast or addition to tonality or diatonicism and modality (the major and minor, or "white key", scales). Chromatic elements are considered, "elaborations of or substitutions for diatonic scale members".Matthew Brown; Schenker, "The Diatonic and the Chromatic in Schenker's "Theory of Harmonic Relations", ''Journal of Music Theory'', Vol. 30, No. 1 (Spring 1986), pp. 1–33, citation on p. 1. Development of chromaticism Chromaticism began to develop in the late Renaissance period, notably in the 1550s, often as part of '' musica reservata'', in the music of Cipriano de Rore, in Orlando Lasso's '' Pro ...
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Lament Bass
In music, the lament bass is a ground bass, built from a descending perfect fourth from tonic to dominant, with each step harmonized.Brover-Lubovsky, Bella (2008). ''Tonal Space in the Music of Antonio Vivaldi'', p.151-52. . The diatonic version is the upper tetrachord from the natural minor scale, known as the Phrygian tetrachord, while the chromatic version, the chromatic fourth, has all semitones filled in. It is often used in music to denote tragedy or sorrow. However, "A common misperception exists that the 'lament bass' of Venetian opera became so prevalent that it immediately swept away all other possible affective associations with this bass pattern...To cite but one example, Peter Holman, writing about Henry Purcell, once characterized the minor tetrachord as 'the descending ground that was associated with love in seventeenth-century opera'." Compositional form There exists a short, free musical form of the Romantic Era, called complaint or "complainte" ( ...
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Orlando Lasso
Orlande de Lassus ( various other names; probably – 14 June 1594) was a composer of the late Renaissance. The chief representative of the mature polyphonic style in the Franco-Flemish school, Lassus stands with Giovanni Pierluigi da Palestrina and Tomás Luis de Victoria as the leading composers of the later Renaissance. Immensely prolific, his music varies considerably in style and genres, which gave him unprecedented popularity throughout Europe. Name Lassus's name appears in many spellings, often changed depending on the place in which his music was being performed or published. In addition to Orlande de Lassus, variations include Roland de Lassus, Orlando di Lasso, Orlandus Lassus, Orlande de Lattre and Roland de Lattre. Life and career Orlande de Lassus was born in Mons in the County of Hainaut, Habsburg Netherlands (modern-day Belgium). Information about his early years is scanty, although some uncorroborated stories have survived, the most famous of which is that ...
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George Perle
George Perle (6 May 1915 – 23 January 2009) was an American composer and music theorist. As a composer, his music was largely atonal, using methods similar to the twelve-tone technique of the Second Viennese School. This 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. Life and career Perle was born in Bayonne, New Jersey. 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 doctorate at New York University in 1956. Perle composed with a technique of his own devising called "twelve-tone t ...
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Modulatory Space
The spaces described in this article are pitch class spaces which model the relationships between pitch classes in some musical system. These models are often graphs, groups or lattices. Closely related to pitch class space is pitch space, which represents pitches rather than pitch classes, and chordal space, which models relationships between chords. Circular pitch class space The simplest pitch space model is the real line. In the MIDI Tuning Standard, for example, fundamental frequencies ''f'' are mapped to numbers ''p'' according to the equation : p = 69 + 12\log_2 This creates a linear space in which octaves have size 12, semitones (the distance between adjacent keys on the piano keyboard) have size 1, and A440 is assigned the number 69 (meaning middle C is assigned the number 60). To create circular pitch class space we identify or "glue together" pitches ''p'' and ''p'' + 12. The result is a continuous, circular pitch class space that mathematicians call Z/12Z. ...
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Secondary Supertonic Chord
A secondary chord is an analytical label for a specific harmonic device that is prevalent in the tonal idiom of Western music beginning in the common practice period: the use of diatonic functions for tonicization. Secondary chords are a type of altered or borrowed chord, chords that are not part of the music piece's key. They are the most common sort of altered chord in tonal music. Secondary chords are referred to by the function they have and the key or chord in which they function. Conventionally, they are written with the notation "''function''/''key''". Thus, the most common secondary chord, the dominant of the dominant, is written "V/V" and read as "five of five" or "the dominant of the dominant". The major or minor triad on any diatonic scale degree may have any secondary function applied to it; secondary functions may even be applied to diminished triads in some special circumstances. Secondary chords were not used until the Baroque period and are found more freque ...
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Tonicization
In music, tonicization is the treatment of a pitch other than the overall tonic (the "home note" of a piece) as a temporary tonic in a composition. In Western music that is tonal, the piece is heard by the listener as being in a certain key. A tonic chord has a dominant chord; in the key of C major, the tonic chord is C major and the dominant chord is G major or G dominant seventh. The dominant chord, especially if it is a dominant seventh, is heard by Western composers and listeners familiar with music as resolving (or "leading") to the tonic, due to the use of the leading note in the dominant chord. A tonicized chord is a chord other than the tonic chord to which a dominant or dominant seventh chord progresses. When a dominant chord or dominant seventh chord is used before a chord other than the tonic, this dominant or dominant seventh chord is called a secondary dominant. When a chord is tonicized, this makes this non-tonic chord sound temporarily like a tonic chord. Exam ...
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Leading Tone
In music theory, a leading-tone (also called a subsemitone, and a leading-note in the UK) is a note or pitch which resolves or "leads" to a note one semitone higher or lower, being a lower and upper leading-tone, respectively. Typically, ''the'' leading tone refers to the seventh scale degree of a major scale (), a major seventh above the tonic. In the movable do solfège system, the leading-tone is sung as ''ti''. A leading-tone triad is a triad built on the seventh scale degree in a major key (vii in Roman numeral analysis), while a leading-tone seventh chord is a seventh chord built on the seventh scale degree (vii7). Walter Piston considers and notates vii as V, an incomplete dominant seventh chord. (For the Roman numeral notation of these chords, see Roman numeral analysis.) Note Seventh scale degree (or lower leading tone) Typically, when people speak of ''the'' leading tone, they mean the seventh scale degree () of the major scale, which has a strong affinity ...
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Mode Mixture
A borrowed chord (also called mode mixture,Romeo, Sheila (1999). ''Complete Rock Keyboard Method: Mastering Rock Keyboard'', p. 42. . Bouchard, Joe and Romeo, Sheila (2007). ''The Total Rock Keyboardist'', p. 120. Alfred Music. . modal mixture, substituted chord,White, William Alfred (1911). Harmonic Part-writing', p. 42. Silver, Burdett, & Co. . modal interchange, or mutation) is a chord borrowed from the parallel key ( minor or major scale with the same tonic). Borrowed chords are typically used as "color chords", providing harmonic variety through contrasting scale forms, which are major scales and the three forms of minor scales.Benward & Saker (2009), p. 71. Chords may also be borrowed from other parallel modes besides the major and minor mode, for example D Dorian with D major. The mixing of the major and minor modes developed in the Baroque period. Borrowed chords are distinguished from modulation by being brief enough that the tonic is not lost or displaced, and may be ...
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Tristan Und Isolde
''Tristan und Isolde'' (''Tristan and Isolde''), WWV 90, is an opera in three acts by Richard Wagner to a German libretto by the composer, based largely on the 12th-century romance Tristan and Iseult by Gottfried von Strassburg. It was composed between 1857 and 1859 and premiered at the Königliches Hoftheater und Nationaltheater in Munich on 10 June 1865 with Hans von Bülow conducting. Wagner referred to the work not as an opera, but called it "" (literally ''a drama'', ''a plot'', or ''an action''). Wagner's composition of ''Tristan und Isolde'' was inspired by the philosophy of Arthur Schopenhauer (particularly ''The World as Will and Representation''), as well as by Wagner's affair with Mathilde Wesendonck. Widely acknowledged as a pinnacle of the operatic repertoire, ''Tristan'' was notable for Wagner's unprecedented use of chromaticism, tonal ambiguity, orchestral colour, and harmonic suspension. The opera was enormously influential among Western classical c ...
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Richard Wagner
Wilhelm Richard Wagner ( ; ; 22 May 181313 February 1883) was a German composer, theatre director, polemicist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most opera composers, Wagner wrote both the libretto and the music for each of his stage works. Initially establishing his reputation as a composer of works in the romantic vein of Carl Maria von Weber and Giacomo Meyerbeer, Wagner revolutionised opera through his concept of the ''Gesamtkunstwerk'' ("total work of art"), by which he sought to synthesise the poetic, visual, musical and dramatic arts, with music subsidiary to drama. He described this vision in a series of essays published between 1849 and 1852. Wagner realised these ideas most fully in the first half of the four-opera cycle ''Der Ring des Nibelungen'' (''The Ring of the Nibelung''). His compositions, particularly those of his later period, are notable for their complex texture (mus ...
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Fifteenth Chord From Schoenberg On C
In music, a fifteenth or double octave, abbreviated ''15ma'', is the interval between one musical note and another with one-quarter the wavelength or quadruple the frequency. It has also been referred to as the bisdiapason. The fourth harmonic, it is two octaves. It is referred to as a fifteenth because, in the diatonic scale, there are 15 notes between them if one counts both ends (as is customary). Two octaves (based on the Italian word for eighth) do not make a sixteenth, but a fifteenth. In other contexts, the term ''two octaves'' is likely to be used. For example, if one note has a frequency of 400  Hz, the note a fifteenth above it is at 1600 Hz (''15ma'' ), and the note a fifteenth below is at 100 Hz (''15mb'' ). The ratio of frequencies of two notes a fifteenth apart is therefore 4:1. As the fifteenth is a multiple of octaves, the human ear tends to hear Hearing, or auditory perception, is the ability to perceive sounds throug ...
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Mixture Of Mode Chromatic Substitution
In chemistry, a mixture is a material made up of two or more different chemical substances which are not chemically bonded. A mixture is the physical combination of two or more substances in which the identities are retained and are mixed in the form of solutions, suspensions and colloids. Mixtures are one product of mechanically blending or mixing chemical substances such as elements and compounds, without chemical bonding or other chemical change, so that each ingredient substance retains its own chemical properties and makeup. Despite the fact that there are no chemical changes to its constituents, the physical properties of a mixture, such as its melting point, may differ from those of the components. Some mixtures can be separated into their components by using physical (mechanical or thermal) means. Azeotropes are one kind of mixture that usually poses considerable difficulties regarding the separation processes required to obtain their constituents (physical or chemi ...
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