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In
music Music is generally defined as the The arts, art of arranging sound to create some combination of Musical form, form, harmony, melody, rhythm or otherwise Musical expression, expressive content. Exact definition of music, definitions of mu ...
, the mystic chord or Prometheus chord is a six-note
synthetic chord In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord (collection of pitches) which cannot be analyzed in terms of traditional harmonic structures, such as the triad or seventh chord. Howe ...
and its associated
scale Scale or scales may refer to: Mathematics * Scale (descriptive set theory), an object defined on a set of points * Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original * Scale factor, a number ...
, or
pitch collection A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to colle ...
; which loosely serves as the
harmonic A harmonic is a wave with a frequency that is a positive integer multiple of the '' fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', ...
and
melodic A melody (from Greek μελῳδία, ''melōidía'', "singing, chanting"), also tune, voice or line, is a linear succession of musical tones that the listener perceives as a single entity. In its most literal sense, a melody is a combina ...
basis for some of the later pieces by Russian composer
Alexander Scriabin Alexander Nikolayevich Scriabin (; russian: Александр Николаевич Скрябин ; – ) was a Russian composer and virtuoso pianist. Before 1903, Scriabin was greatly influenced by the music of Frédéric Chopin and composed ...
. 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 class In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave positi ...
es: C, F, B, E, A, D. This is often interpreted as a quartal
hexachord 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 theor ...
consisting of an
augmented fourth Augment or augmentation may refer to: Language * Augment (Indo-European), a syllable added to the beginning of the word in certain Indo-European languages * Augment (Bantu languages), a morpheme that is prefixed to the noun class prefix of nouns ...
, diminished fourth, augmented fourth, and two
perfect fourth A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth () is the fourth spanning five semitones (half steps, or half tones). For example, the ascending interval from C to th ...
s. 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 Alexander Nikolayevich Scriabin (; russian: Александр Николаевич Скрябин ; – ) was a Russian composer and virtuoso pianist. Before 1903, Scriabin was greatly influenced by the music of Frédéric Chopin and composed ...
's intense interest in
Theosophy Theosophy is a religion established in the United States during the late 19th century. It was founded primarily by the Russian Helena Blavatsky and draws its teachings predominantly from Blavatsky's writings. Categorized by scholars of religion a ...
, and the chord is imagined to reflect this mysticism. It was coined by
Arthur Eaglefield Hull Arthur Eaglefield Hull (10 March 1876 – 4 November 1928) was an English music critic, writer, composer and organist.
in 1916."Skryabin and the Impossible", p.314. Simon Morrison. ''Journal of the American Musicological Society'', Vol. 51, No. 2. (Summer, 1998), pp. 283–330. 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 Leonid Leonidovich Sabaneyev or Sabaneyeff or Sabaneev (russian: Леони́д Леони́дович Сабане́ев) (3 May 1968) was a Russian musicologist, music critic, composer and scientist. He was the son of Leonid Pavlovich Sabaney ...
. Scriabin himself called it the "chord of the
pleroma Pleroma ( grc-koi, πλήρωμα, literally "fullness") generally refers to the totality of divine powers. It is used in Christian theological contexts, especially in Gnosticism. The term also appears in the Epistle to the Colossians, which is tr ...
" (аккорд плеромы ''akkord pleromy''), 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 Gnosticism (from grc, γνωστικός, gnōstikós, , 'having knowledge') is a collection of religious ideas and systems which coalesced in the late 1st century AD among Jewish and early Christian sects. These various groups emphasized pe ...
intimation of a hidden otherness."


Qualities

Jim Samson Thomas James Samson, FBA (born 1946), commonly known as Jim Samson, is a musicologist, music critic and retired academic. Educated at Queen's University Belfast (BMus) and University College, Cardiff ( MMus, PhD), he was appointed to a research fe ...
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 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 mus ...
(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 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 (in contrast to jazz theory), this symmetrica ...
, the
whole tone scale 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'' ...
, and the
French sixth 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 mus ...
, all of which are capable of a different number of transpositions. 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.
Leonid Sabaneev Leonid Leonidovich Sabaneyev or Sabaneyeff or Sabaneev (russian: Леони́д Леони́дович Сабане́ев) (3 May 1968) was a Russian musicologist, music critic, composer and scientist. He was the son of Leonid Pavlovich Sabaneye ...
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 Carl Dahlhaus (10 June 1928 – 13 March 1989) was a German musicologist who was among the leading postwar musicologists of the mid to late 20th-century. A prolific scholar, he had broad interests though his research focused on 19th- and 20t ...
, "the interval-distance of the natural-tone-row vertones .. counting up to 20, includes everything from the octave to the quarter tone, (and) useful and useless musical tones. The natural-tone-row armonic seriesjustifies everything, that means, nothing." 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). The notes of the chord also conform to a
Lydian dominant In music, the acoustic scale, overtone scale, Lydian dominant scale, Lydian 7 scale, or the Pontikonisian Scale is a seven-note synthetic scale. : This differs from the major scale in having an augmented fourth and a minor seventh scale degr ...
quality, the fourth mode of the
melodic 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 al ...
.


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 chord In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord (collection of pitches) which cannot be analyzed in terms of traditional harmonic structures, such as the triad or seventh chord. Howe ...
s or
scales Scale or scales may refer to: Mathematics * Scale (descriptive set theory), an object defined on a set of points * Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original * Scale factor, a number ...
that do not rely on the mystic chord. 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 In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord (collection of pitches) which cannot be analyzed in terms of traditional harmonic structures, such as the triad or seventh chord. Howe ...
, the scale from which it derives, sometimes called the "Prometheus scale", is an example of a
synthetic scale 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."Synthetic Musical Scales". Author(s): J. Murray Barbour. Source: ''The American Mathematical ...
. 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 Acoustic may refer to: Music Albums * ''Acoustic'' (Above & Beyond album), 2014 * ''Acoustic'' (Deine Lakaien album), 2007 * ''Acoustic'' (Everything but the Girl album), 1992 * ''Acoustic'' (John Lennon album), 2004 * ''Acoustic'' (Love Amo ...
and/or the
octatonic scales 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 (in contrast to jazz theory), this symmetric ...
."Principles of Pitch Organization in Scriabin's Early Post-tonal Period: The Piano Miniatures". Vasilis Kallis, ''Music Theory Online'', Vol. 14.3 (Sep 2008) 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 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 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, ...
, Scriabin used this chord in what he calls a pre-
serial Serial may refer to: Arts, entertainment, and media The presentation of works in sequential segments * Serial (literature), serialised literature in print * Serial (publishing), periodical publications and newspapers * Serial (radio and televisio ...
manner, producing
harmonies 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 ( tones, notes), or chords. Howeve ...
,
chord Chord may refer to: * Chord (music), an aggregate of musical pitches sounded simultaneously ** Guitar chord a chord played on a guitar, which has a particular tuning * Chord (geometry), a line segment joining two points on a curve * Chord ( ...
s, and
melodies A melody (from Greek μελῳδία, ''melōidía'', "singing, chanting"), also tune, voice or line, is a linear succession of musical tones that the listener perceives as a single entity. In its most literal sense, a melody is a combinati ...
. However, unlike the
twelve tone technique The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition first devised by Austrian composer Josef Matthias Hauer, who published his "law ...
to which Perle refers, Scriabin, like Perle, did not use his Mystic chord as an
ordered set In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set. A poset consists of a set together with a binary ...
and did not worry about repeating or omitting notes or aggregate
combinatoriality In music using the twelve tone technique, combinatoriality is a quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates (all twelve tones). Whittall, Arnold ...
.


Use by other composers

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


See also

*
Elektra chord The ''Elektra'' chord is a "complexly dissonant signature-chord"Lawrence Kramer. "Fin-de-siècle Fantasies: ''Elektra'', Degeneration and Sexual Science", ''Cambridge Opera Journal'', Vol. 5, No. 2. (Jul., 1993), pp. 141-165. and motivic elabor ...
*
Petrushka chord 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 F major – a tritone apart – clash, "horribly with each other", when sounded together ...
*
Psalms chord In music, the Psalms chord is the opening chord of Igor Stravinsky's ''Symphony of Psalms''. It is a "barking E minor triad" that is voiced "like no E-minor triad that was ever known before" – that is, in two highly separate groups, one in the t ...
*
Thirteenth In music or music theory, a thirteenth is the note thirteen scale degrees from the root of a chord and also the interval between the root and the thirteenth. The interval can be also described as a compound sixth, spanning an octave pl ...
*
Tristan chord The Tristan chord is a chord made up of the notes F, B, D, and G: : More generally, it can be any chord that consists of these same intervals: augmented fourth, augmented sixth, and augmented ninth above a bass note. It is so named as it is ...


Notes


References


Further reading

*Hewitt, Michael. ''Musical Scales of the World''. The Note Tree. 2013. .


External links


Some occurrences of the Mystic chord in the scores of the Petrucci Music Library
{{DEFAULTSORT:Mystic Chord Post-tonal music theory Chords Hexachords Hemitonic scales