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Hexachord information


Hexachord ostinato, in cello, which opens Die Jakobsleiter by Arnold Schoenberg, notable for its compositional use of hexachords[1] Play

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 Greek: ἑξάχορδος, compounded from ἕξ (hex, six) and χορδή (chordē, string [of 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).[2][3]

  1. ^ Arnold Whittall, The Cambridge Introduction to Serialism, Cambridge Introductions to Music (New York: Cambridge University Press, 2008): 23. ISBN 978-0-521-86341-4 (hardback) ISBN 978-0-521-68200-8 (pbk).
  2. ^ William Holder, A Treatise of the Natural Grounds and Principles of Harmony (London: Printed by J. Heptinstall, for John Carr, at the Middle-Temple-Gate, in Fleet-Street, 1694): 192. Facsimile reprint, New York: Broude Brothers, 1967.
  3. ^ Ephraim Chambers, Cyclopædia: or, an Universal Dictionary of Arts and Sciences, 2 vols. (London: Printed for J. and J. Knapton [and 18 others], 1728): 1, part 2:247.

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Hexachord

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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...

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Guidonian hand

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teaching his hexachord. The Guidonian hand is closely linked with Guido's new ideas about how to learn music, including the use of hexachords, and the first...

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Interval vector

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of hexachords each may be referred to as a Z-hexachord. Any hexachord not of the "Z" type is its own complement while the complement of a Z-hexachord is...

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Combinatoriality

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P-0/I-5 to create "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect...

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Chromatic hexachord

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the chromatic hexachord is the hexachord consisting of a consecutive six-note segment of the chromatic scale. It is the first hexachord as ordered by...

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Schoenberg hexachord

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6-Z44 (012569), known as the Schoenberg hexachord, is Arnold Schoenberg's signature hexachord, as one transposition contains the pitches [A], Es, C, H...

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Sacher hexachord

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The Sacher hexachord (6-Z11, musical cryptogram on the name of Swiss conductor Paul Sacher) is a hexachord notable for its use in a set of twelve compositions...

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Tritone

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from two adjacent hexachords. For instance, in the tritone B–F, B would be "mi", that is the third scale degree in the "hard" hexachord beginning on G,...

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Musica ficta

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musica recta or musica vera ("correct" or "true" music) as defined by the hexachord system of Guido of Arezzo. Today, the term is often loosely applied to...

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Hexatonic scale

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two resulting notes. The scale is the fifth mode of Messiaen's list. Hexachord Istrian scale McCabe, Larry (January 21, 2011). You Can Teach Yourself...

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Petrushka chord

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The Petrushka chord is a recurring polytonal device used in Igor Stravinsky's ballet Petrushka and in later music. These two major triads, C major and...

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Tone row

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such as with hexachords. A "secondary set" is a tone row which is derived from or, "results from the reversed coupling of hexachords", when a given...

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Mystic chord

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pitch classes: C, F♯, B♭, E, A, D. This is often interpreted as a quartal hexachord consisting of an augmented fourth, diminished fourth, augmented fourth...

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Ut queant laxis

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notes of the hexachord, giving ut–re–mi–fa–so–la; though ut is replaced by do in modern solfège. The naming of the notes of the hexachord by the first...

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List of set classes

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referred to them, for his own use. Donald Martino had produced tables of hexachords, tetrachords, trichords, and pentachords for combinatoriality in his article...

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Diatonic hexachord

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1575-1628) - Fantasia 'On the Hexachord' à4, VdGS No.10 - The Hexachord Ascending, Oxford. Christ College, Mus.Ms.436 (ca.1630) Hexachord Fantasias performed by...

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Gregorian chant

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called the gamut. The chants can be sung by using six-note patterns called hexachords. Gregorian melodies are traditionally written using neumes, an early form...

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List of compositions by Alban Berg

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beide" "Der Wein" Related articles Farben chord Literaturoper Neoclassicism Schoenberg hexachord Second Viennese School Twelve-tone technique Category...

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Musical cryptogram

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B, E, D (= Es, A, C, H, E, Re) for Paul Sacher, known as the Sacher hexachord E, A, E, D, A (= E, La, Mi, Re, A) for Elmira Nazirova, pupil of Dmitri...

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Alban Berg

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beide" "Der Wein" Related articles Farben chord Literaturoper Neoclassicism Schoenberg hexachord Second Viennese School Twelve-tone technique Category...

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Inganno

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retaining the names of the hexachord syllables. Artusi provides the following example: Here the original theme is in the natural hexachord. The first note is...

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Guido of Arezzo

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by Guido, and the fully elaborated system of natural, hard, and soft hexachords cannot be securely attributed to him. In the 12th century, a development...

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False relation

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particularly in vocal composition, but it is also seen, for example, in the hexachord fantasies of William Byrd (for keyboard). Indeed, vocal music from this...

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