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Mystic chord

In music, the mystic chord or Prometheus chord is a six-note synthetic chord and its associated scale, or pitch collection; which loosely serves as the harmonic and melodic basis for some of the later pieces by Russian composer Alexander Scriabin. Scriabin, however, did not use the chord directly but rather derived material from its transpositions.

When rooted in C, the mystic chord consists of the 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, and two perfect fourths. The chord is related to other pitch collections, such as being a hexatonic subset of the overtone scale, also known in jazz circles as the Lydian dominant scale, lacking the perfect fifth.

Nomenclature edit

The term "mystic chord" appears to derive from Alexander Scriabin's intense interest in Theosophy, and the chord is imagined to reflect this mysticism. It was coined by Arthur Eaglefield Hull in 1916.[1]

It is also known as the "Prometheus chord", after its extensive use in his work Prometheus: The Poem of Fire, Op. 60. The term was invented by Leonid Sabaneyev.[1]

Scriabin himself called it the "chord of the pleroma" (аккорд плеромы akkord pleromy),[1] which "was designed to afford instant apprehension of -that is, to reveal- what was in essence beyond the mind of man to conceptualize. Its preternatural stillness was a gnostic intimation of a hidden otherness."[2]

Qualities edit

Jim Samson[3] points out that it fits in well with Scriabin's mainly dominant quality sonorities and harmony, as it may take on a dominant quality on C or F. This tritone relationship between possible resolutions is important to Scriabin's harmonic language, and it is a property shared by the French sixth (also prominent in his work) of which the synthetic chord can be seen as an extension. The example below shows the mystic chord rewritten as a French sixth with notes A and D as extensions:

 

The pitch collection is related to the octatonic scale, the whole tone scale, and the French sixth, all of which are capable of a different number of transpositions.[4] For example, the chord is a whole tone scale with one note raised a semitone (the "almost whole-tone" hexachord, sometimes identified as "whole tone-plus"), and this alteration allows for a greater variety of resources through transposition.[5]

Leonid Sabaneev interpreted the Prometheus chord as harmonics 8 through 14, without 12 (1, 9, 5, 11, 13, 7 = C, D, E, F, A , B ), but the 11th harmonic is 48.68 cents away from the tritone (F), the 13th harmonic is 59.47 cents away from a major sixth (A).

 

However, to quote Carl Dahlhaus, "the interval-distance of the natural-tone-row [overtones] [...], counting up to 20, includes everything from the octave to the quarter tone, (and) useful and useless musical tones. The natural-tone-row [harmonic series] justifies everything, that means, nothing."[6] Elliott Antokoletz says the "so-called 'mystic chord'" approximates harmonics 7 through 13 (7, 8, 9, 10, (11,) 12, 13 = C, D -, E , F , (G -,) A , B  -).[7] Play

The notes of the chord also conform to a Lydian dominant quality, the fourth mode of the melodic minor scale.

Use by Scriabin edit

Some sources suggest that much of Scriabin's music is entirely based on the chord to the extent that whole passages are little more than long sequences of this chord, unaltered, at different pitches; but this is rarely the case. More often than not, the notes are reordered so as to supply a variety of harmonic or melodic material. Certain of Scriabin's late pieces are based on other synthetic chords or scales that do not rely on the mystic chord.

There seems today to be a general consensus that the mystic chord is neither the key nor the generating element in Scriabin's method.

— Jay Reise (1983)[8]

Other sources suggest that Scriabin's method of pitch organization is based on ordered scales that feature scale degrees. Since the mystic chord is a synthetic chord, the scale from which it derives, sometimes called the "Prometheus scale", is an example of a synthetic scale.

 

For example, a group of piano miniatures (Op. 58, Op. 59/2, Op. 61, Op. 63, Op. 67/1 and Op. 69/1) are governed by the acoustic and/or the octatonic scales.[9]

Contrary to many textbook descriptions of the chord, which present the sonority as a series of superposed fourths, Scriabin most often manipulated the voicings to produce a variety of melodic and harmonic intervals.[a] A rare example of purely quartal spacing can be found in the Fifth Piano Sonata (mm. 264 and 268). Measures 263–264 are shown below.

 

Incomplete versions of the chord spaced entirely in fourths are considerably more common, for example, in Deux Morceaux, Op. 57.

According to George Perle, Scriabin used this chord in what he calls a pre-serial manner, producing harmonies, chords, and melodies. However, unlike the twelve tone technique to which Perle refers, Scriabin, like Perle, did not use his Mystic chord as an ordered set and did not worry about repeating or omitting notes or aggregate combinatoriality.[b][c]

Use by other composers edit

 
The mystic chord as a dominant chord (in this case, as V/V) in Duke Ellington's 1958 piano piece "Reflections in D"[citation needed]. The E dominant 9th chord has 11th and 13th appoggiaturas added, which resolve conventionally.[citation needed]

With the increasing use of more dissonant sonorities, some composers of the 20th and 21st centuries have used this chord in various ways.[citation needed].

In jazz music, on the other hand, such chords are extremely common, and in this setting the mystic chord can be viewed simply as a C13#11 chord with the fifth omitted. In the score to the right is an example of a Duke Ellington composition that uses a different voicing of this chord at the end of the second bar, played on E (E13#11).

See also edit

Notes edit

  1. ^ In the same manner that a dominant seventh, built on superposed thirds, will deploy intervals of a sixth, fourth, and/or second under inversion.
  2. ^ "Half a dozen years or so after Scriabin's death, Schoenberg came up with the principle of ordering and Hauer with the principle of partitioning as a means of differentiating representations of the universal set of twelve pitch classes from one another, the foundational requirement for a twelve-tone system. Scriabin's sketches for his projected 'Prefatory Action' show that in the last year of his short life he was already preoccupied with the same problem."[10]
  3. ^ "Scriabin, in his employment of a...complicated set, of transpositions of the set, of invariant segment that function as pivotal elements among the various transpositions, and of consistent variants of the set, may be considered the first to exploit a set systematically as a means of compensating for the loss of the traditional tonal functions."[11]

References edit

  1. ^ a b c "Skryabin and the Impossible", p.314. Simon Morrison. Journal of the American Musicological Society, Vol. 51, No. 2. (Summer, 1998), pp. 283–330.
  2. ^ "Chernomor to Kashchei: Harmonic Sorcery; Or, Stravinsky's 'Angle'". Richard Taruskin. Journal of the American Musicological Society, Vol. 38, No. 1. (Spring, 1985), pp. 72–142. Cited in Morrison (1998).
  3. ^ Samson, Jim (1977). Music in Transition: A Study of Tonal Expansion and Atonality, 1900–1920. W.W. Norton & Company. pp. 156–7. ISBN 0-393-02193-9.
  4. ^ "Orthography in Scriabin's Late Works", p.60. Cheong Wai-Ling. Music Analysis, Vol. 12, No. 1. (Mar., 1993), pp. 47–69.
  5. ^ "The Evolution of Twelve-Note Music", p.56. Oliver Neighbour. Proceedings of the Royal Musical Association, 81st Sess. (1954–1955), pp. 49–61.
  6. ^ Sabbagh, Peter (2003). The Development of Harmony in Scriabin's Works, p.12. Universal. ISBN 9781581125955. Cites: Dahlhaus, Carl (1972). "Struktur und Expression bei Alexander Skrjabin", Mu sik des Ostens, Vol.6, p.229.
  7. ^ Antokoletz, Elliott (1992). Twentieth-Century Music, p.101. Prentice Hall. ISBN 9780139341267.
  8. ^ "Late Skriabin: Some Principles behind the Style", p.221. Jay Reise. 19th-Century Music, Vol. 6, No. 3. (Spring, 1983), pp. 220–231.
  9. ^ "Principles of Pitch Organization in Scriabin's Early Post-tonal Period: The Piano Miniatures". Vasilis Kallis, Music Theory Online, Vol. 14.3 (Sep 2008)
  10. ^ Perle, George (1996). The Listening Composer, p.178. University of California. ISBN 9780520205185. Cites Perle's article "Scriabin's Self-Analyses", p.119ff.
  11. ^ Perle, George (1991). Serial Composition and Atonality, p.41. University of California. ISBN 9780520074309.

Further reading edit

External links edit

  • Some occurrences of the Mystic chord in the scores of the Petrucci Music Library

mystic, chord, music, mystic, chord, prometheus, chord, note, synthetic, chord, associated, scale, pitch, collection, which, loosely, serves, harmonic, melodic, basis, some, later, pieces, russian, composer, alexander, scriabin, scriabin, however, chord, direc. In music the mystic chord or Prometheus chord is a six note synthetic chord and its associated scale or pitch collection which loosely serves as the harmonic and melodic basis for some of the later pieces by Russian composer Alexander Scriabin Scriabin however did not use the chord directly but rather derived material from its transpositions Mystic chordComponent intervals from rootmajor secondmajor sixthmajor thirdminor seventhaugmented fourthrootForte no 6 34 When rooted in C the mystic chord consists of the pitch classes C F B E A D source Audio playback is not supported in your browser You can download the audio file This is often interpreted as a quartal hexachord consisting of an augmented fourth diminished fourth augmented fourth and two perfect fourths The chord is related to other pitch collections such as being a hexatonic subset of the overtone scale also known in jazz circles as the Lydian dominant scale lacking the perfect fifth Contents 1 Nomenclature 2 Qualities 3 Use by Scriabin 4 Use by other composers 5 See also 6 Notes 7 References 8 Further reading 9 External linksNomenclature editThe term mystic chord appears to derive from Alexander Scriabin s intense interest in Theosophy and the chord is imagined to reflect this mysticism It was coined by Arthur Eaglefield Hull in 1916 1 It is also known as the Prometheus chord after its extensive use in his work Prometheus The Poem of Fire Op 60 The term was invented by Leonid Sabaneyev 1 Scriabin himself called it the chord of the pleroma akkord pleromy akkord pleromy 1 which was designed to afford instant apprehension of that is to reveal what was in essence beyond the mind of man to conceptualize Its preternatural stillness was a gnostic intimation of a hidden otherness 2 Qualities editJim Samson 3 points out that it fits in well with Scriabin s mainly dominant quality sonorities and harmony as it may take on a dominant quality on C or F This tritone relationship between possible resolutions is important to Scriabin s harmonic language and it is a property shared by the French sixth also prominent in his work of which the synthetic chord can be seen as an extension The example below shows the mystic chord rewritten as a French sixth with notes A and D as extensions nbsp source Audio playback is not supported in your browser You can download the audio file The pitch collection is related to the octatonic scale the whole tone scale and the French sixth all of which are capable of a different number of transpositions 4 For example the chord is a whole tone scale with one note raised a semitone the almost whole tone hexachord sometimes identified as whole tone plus and this alteration allows for a greater variety of resources through transposition 5 Leonid Sabaneev interpreted the Prometheus chord as harmonics 8 through 14 without 12 1 9 5 11 13 7 C D E F A nbsp B nbsp but the 11th harmonic is 48 68 cents away from the tritone F the 13th harmonic is 59 47 cents away from a major sixth A nbsp source Audio playback is not supported in your browser You can download the audio file However to quote Carl Dahlhaus the interval distance of the natural tone row overtones counting up to 20 includes everything from the octave to the quarter tone and useful and useless musical tones The natural tone row harmonic series justifies everything that means nothing 6 Elliott Antokoletz says the so called mystic chord approximates harmonics 7 through 13 7 8 9 10 11 12 13 C D nbsp E nbsp F nbsp G nbsp A nbsp B nbsp nbsp 7 Play The notes of the chord also conform to a Lydian dominant quality the fourth mode of the melodic minor scale Use by Scriabin editSome sources suggest that much of Scriabin s music is entirely based on the chord to the extent that whole passages are little more than long sequences of this chord unaltered at different pitches but this is rarely the case More often than not the notes are reordered so as to supply a variety of harmonic or melodic material Certain of Scriabin s late pieces are based on other synthetic chords or scales that do not rely on the mystic chord There seems today to be a general consensus that the mystic chord is neither the key nor the generating element in Scriabin s method Jay Reise 1983 8 Other sources suggest that Scriabin s method of pitch organization is based on ordered scales that feature scale degrees Since the mystic chord is a synthetic chord the scale from which it derives sometimes called the Prometheus scale is an example of a synthetic scale nbsp source Audio playback is not supported in your browser You can download the audio file For example a group of piano miniatures Op 58 Op 59 2 Op 61 Op 63 Op 67 1 and Op 69 1 are governed by the acoustic and or the octatonic scales 9 Contrary to many textbook descriptions of the chord which present the sonority as a series of superposed fourths Scriabin most often manipulated the voicings to produce a variety of melodic and harmonic intervals a A rare example of purely quartal spacing can be found in the Fifth Piano Sonata mm 264 and 268 Measures 263 264 are shown below nbsp source Audio playback is not supported in your browser You can download the audio file Incomplete versions of the chord spaced entirely in fourths are considerably more common for example in Deux Morceaux Op 57 According to George Perle Scriabin used this chord in what he calls a pre serial manner producing harmonies chords and melodies However unlike the twelve tone technique to which Perle refers Scriabin like Perle did not use his Mystic chord as an ordered set and did not worry about repeating or omitting notes or aggregate combinatoriality b c Use by other composers edit nbsp The mystic chord as a dominant chord in this case as V V in Duke Ellington s 1958 piano piece Reflections in D citation needed The E dominant 9th chord has 11th and 13th appoggiaturas added which resolve conventionally citation needed This section needs expansion You can help by adding to it April 2012 With the increasing use of more dissonant sonorities some composers of the 20th and 21st centuries have used this chord in various ways citation needed In jazz music on the other hand such chords are extremely common and in this setting the mystic chord can be viewed simply as a C13 11 chord with the fifth omitted In the score to the right is an example of a Duke Ellington composition that uses a different voicing of this chord at the end of the second bar played on E E13 11 See also editElektra chord Petrushka chord Psalms chord Thirteenth Tristan chordNotes edit In the same manner that a dominant seventh built on superposed thirds will deploy intervals of a sixth fourth and or second under inversion Half a dozen years or so after Scriabin s death Schoenberg came up with the principle of ordering and Hauer with the principle of partitioning as a means of differentiating representations of the universal set of twelve pitch classes from one another the foundational requirement for a twelve tone system Scriabin s sketches for his projected Prefatory Action show that in the last year of his short life he was already preoccupied with the same problem 10 Scriabin in his employment of a complicated set of transpositions of the set of invariant segment that function as pivotal elements among the various transpositions and of consistent variants of the set may be considered the first to exploit a set systematically as a means of compensating for the loss of the traditional tonal functions 11 References edit a b c Skryabin and the Impossible p 314 Simon Morrison Journal of the American Musicological Society Vol 51 No 2 Summer 1998 pp 283 330 Chernomor to Kashchei Harmonic Sorcery Or Stravinsky s Angle Richard Taruskin Journal of the American Musicological Society Vol 38 No 1 Spring 1985 pp 72 142 Cited in Morrison 1998 Samson Jim 1977 Music in Transition A Study of Tonal Expansion and Atonality 1900 1920 W W Norton amp Company pp 156 7 ISBN 0 393 02193 9 Orthography in Scriabin s Late Works p 60 Cheong Wai Ling Music Analysis Vol 12 No 1 Mar 1993 pp 47 69 The Evolution of Twelve Note Music p 56 Oliver Neighbour Proceedings of the Royal Musical Association 81st Sess 1954 1955 pp 49 61 Sabbagh Peter 2003 The Development of Harmony in Scriabin s Works p 12 Universal ISBN 9781581125955 Cites Dahlhaus Carl 1972 Struktur und Expression bei Alexander Skrjabin Mu sik des Ostens Vol 6 p 229 Antokoletz Elliott 1992 Twentieth Century Music p 101 Prentice Hall ISBN 9780139341267 Late Skriabin Some Principles behind the Style p 221 Jay Reise 19th Century Music Vol 6 No 3 Spring 1983 pp 220 231 Principles of Pitch Organization in Scriabin s Early Post tonal Period The Piano Miniatures Vasilis Kallis Music Theory Online Vol 14 3 Sep 2008 Perle George 1996 The Listening Composer p 178 University of California ISBN 9780520205185 Cites Perle s article Scriabin s Self Analyses p 119ff Perle George 1991 Serial Composition and Atonality p 41 University of California ISBN 9780520074309 Further reading editHewitt Michael Musical Scales of the World The Note Tree 2013 ISBN 978 0957547001 External links editSome occurrences of the Mystic chord in the scores of the Petrucci Music Library Retrieved from https en wikipedia org w index php title Mystic chord amp oldid 1199443800, wikipedia, wiki, book, books, library,

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