Mystic chord

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Mystic chord
Component intervals from root
major second
major sixth
major third
minor seventh
augmented fourth
root
Forte no.
6–34

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.

Contents

When rooted in C, the mystic chord consists of the pitch classes: C, F, B, E, A, D.

Mystic chord

This is often interpreted as a quartal hexachord consisting of an augmented fourth, diminished fourth, augmented fourth, and two perfect fourths. However, the chord may be spelled in a variety of ways, and it is related to other pitch collections, such as being a hexatonic subset of the overtone scale, lacking the perfect fifth.

Nomenclature

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

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:

Mystic chord

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 13 rightside up.png , B 7 rightside up.png ), 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).

Mystic chord

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 7 upside down.png -, E 7 upside down.png , F 7 upside down.png , (G 7 upside down.png -,) A 7 upside down.png , B 13 rightside up.png 7 upside down.png -). [7] Loudspeaker.svg Play  

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

Use by Scriabin

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.

Mystic chord

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. [lower-alpha 1] 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.

Mystic chord

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. [lower-alpha 2] [lower-alpha 3]

Use by other composers

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

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 ]

See also

Notes

  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]

Related Research Articles

Harmony Aspect of music

In music, harmony is the process by which individual sounds are joined together or composed into whole units or compositions. Often, the term harmony refers to simultaneously occurring frequencies, pitches, or chords. However, harmony is generally understood to involve both vertical harmony (chords) and horizontal harmony (melody).

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.

Atonality Music that lacks a tonal center or key

Atonality in its broadest sense is music that lacks a tonal center, or key. Atonality, in this sense, usually describes compositions written from about the early 20th-century to the present day, where a hierarchy of harmonies focusing on a single, central triad is not used, and the notes of the chromatic scale function independently of one another. More narrowly, the term atonality describes music that does not conform to the system of tonal hierarchies that characterized European classical music between the seventeenth and nineteenth centuries. "The repertory of atonal music is characterized by the occurrence of pitches in novel combinations, as well as by the occurrence of familiar pitch combinations in unfamiliar environments".

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".

An octatonic scale is any eight-note musical scale. However, the term most often refers to the symmetric scale composed of alternating whole and half steps, as shown at right. In classical theory, this scale is commonly called the octatonic scale, although there are a total of 42 enharmonically non-equivalent, transpositionally non-equivalent eight-note sets.

A jazz scale is any musical scale used in jazz. Many "jazz scales" are common scales drawn from Western European classical music, including the diatonic, whole-tone, octatonic, and the modes of the ascending melodic minor. All of these scales were commonly used by late nineteenth and early twentieth-century composers such as Rimsky-Korsakov, Debussy, Ravel and Stravinsky, often in ways that directly anticipate jazz practice. Some jazz scales, such as the bebop scales, add additional chromatic passing tones to the familiar diatonic scales.

Chord (music) Harmonic set of three or more notes

A chord, in music, is any harmonic set of pitches/frequencies consisting of multiple notes that are heard as if sounding simultaneously. For many practical and theoretical purposes, arpeggios and broken chords, or sequences of chord tones, may also be considered as chords in the right musical context.

In music theory, an augmented sixth chord contains the interval of an augmented sixth, usually above its bass tone. This chord has its origins in the Renaissance, was further developed in the Baroque, and became a distinctive part of the musical style of the Classical and Romantic periods.

In music, a synthetic scale is a scale that derives from a traditional diatonic major scale by altering of one degree by a semitone in either direction. Composer Ferruccio Busoni originally explored these scales in his A New Esthetic of Music and their number and variety were later clarified by J. Murray Barbour, who also proposed applying the procedure to scales of more or less than seven degrees, including pentatonic scales.

Chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. Chromaticism is in contrast or addition to tonality or diatonicism and modality. Chromatic elements are considered, "elaborations of or substitutions for diatonic scale members".

Not only at the beginning of a composition but also in the midst of it, each scale-step [degree] manifests an irresistible urge to attain the value of the tonic for itself as that of the strongest scale-step. If the composer yields to this urge of the scale-step within the diatonic system of which this scale-step forms part, I call this process tonicalization and the phenomenon itself chromatic.

Chromaticism is almost by definition an alteration of, an interpolation in or deviation from this basic diatonic organization.

Throughout the nineteenth century, composers felt free to alter any or all chord members of a given tertian structure [chord built from thirds] according to their compositional needs and dictates. Pronounced or continuous chordal alteration [and 'extension'] resulted in chromaticism. Chromaticism, together with frequent modulations and an abundance of non-harmonicism [non-chord tones], initially effected an expansion of the tertian system; the overuse of the procedures late in the century forewarned the decline and near collapse [atonality] of the system [tonality].

Chromaticism is the name given to the use of tones outside the major or minor scales. Chromatic tones began to appear in music long before the common-practice period, and by the beginning of that period were an important part of its melodic and harmonic resources. Chromatic tones arise in music partly from inflection [alteration] of scale degrees in the major and minor modes, partly from secondary dominant harmony, from a special vocabulary of altered chords, and from certain nonharmonic tones... Notes outside the scale do not necessarily affect the tonality...tonality is established by the progression of roots and the tonal functions of the chords, even though the details of the music may contain all the tones of the chromatic scale.

Sometimes...a melody based on a regular diatonic scale is laced with many accidentals, and although all 12 tones of the chromatic scale may appear, the tonal characteristics of the diatonic scale are maintained. ... Chromaticism [is t]he introduction of some pitches of the chromatic scale into music that is basically diatonic in orientation, or music that is based on the chromatic scale instead of the diatonic scales.

Complement (music)

In music theory, complement refers to either traditional interval complementation, or the aggregate complementation of twelve-tone and serialism.

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.

A heptatonic scale is a musical scale that has seven pitches, or tones, per octave. Examples include the major scale or minor scale; e.g., in C major: C D E F G A B C—and in the relative minor, A minor, natural minor: A B C D E F G A; the melodic minor scale, A B C D E FGA ascending, A G F E D C B A descending; the harmonic minor scale, A B C D E F GA; and a scale variously known as the Byzantine, and Hungarian, scale, C D E F G A B C. Indian classical theory postulates seventy-two seven-tone scale types, collectively called thaat, whereas others postulate twelve or ten seven-tone scale types.

Harmonic major scale

In music theory, the harmonic major scale is a musical scale found in some music from the common practice era and now used occasionally, most often in jazz. In George Russell's Lydian Chromatic Concept it is the fifth mode (V) of the Lydian Diminished scale. It corresponds to the Raga Sarasangi in Indian Carnatic music.

Bebop scale is a term referring to common seven-note scales that have an added chromatic passing note. These are frequently used in jazz improvisation and are derived from the modes of the major scale, the melodic minor scale, and the harmonic minor scale. These scales are most often used by David Baker and Barry Harris as a tool to teach jazz improvisation. According to Corey Christiansen, "David Baker, one of the world's finest jazz educators, named these scales the 'bebop scales' because they were used so often by jazz artists from the Bebop Era. These artists include Charlie Christian, Charlie Parker, Lester Young, and Dizzy Gillespie, to name a few." Barry Harris builds these scales from two unrelated 4-note chords, which gives them their names in his system.

Diatonic and chromatic Terms in music theory to characterize scales

Diatonic and chromatic are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony. They are very often used as a pair, especially when applied to contrasting features of the common practice music of the period 1600–1900.

In music theory, an inversion is a type of change to intervals, chords, voices, and melodies. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.

Synthetic chord

In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord which cannot be analyzed in terms of traditional harmonic structures, such as the triad or seventh chord.

This title is applied to a group of notes, usually a scale-like succession of pitches, with a fixed progression of tones and semitones. This scale can obviously be transposed to any pitch, and depending on its intervallic makeup, will have a fixed number of possible transpositions. Furthermore, the sintetakkord can be used either vertically or horizontally; Roslavets' music is not concerned with the order of the pitches, but rather with the whole 'field' thus created, so that the system is less oriented toward themes and more toward harmonic fields. [See: Josef Matthias Hauer]

Post-tonal music theory is the set of theories put forward to describe music written outside of, or 'after', the tonal system of the common practice period. It revolves around the idea of 'emancipating dissonance', that is, freeing the structure of music from the familiar harmonic patterns that are derived from natural overtones. As music becomes more complex, dissonance becomes indistinguishable from consonance.

Musicology commonly classifies scales as either hemitonic or anhemitonic. Hemitonic scales contain one or more semitones, while anhemitonic scales do not contain semitones. For example, in traditional Japanese music, the anhemitonic yo scale is contrasted with the hemitonic in scale. The simplest and most commonly used scale in the world is the atritonic anhemitonic "major" pentatonic scale. The whole tone scale is also anhemitonic.

References

  1. 1 2 3 "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