Double harmonic scale

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The double harmonic major scale [1] is a musical scale with a flattened second and sixth degree. This scale is enharmonic to the Mayamalavagowla raga , Bhairav raga , Byzantine scale, Arabic scale (Hijaz Kar), [1] [2] and Gypsy major scale. [3] It can be likened to a gypsy scale because of the diminished step between the 1st and 2nd degrees. Arabic scale may also refer to any Arabic mode, the simplest of which, however, to Westerners, resembles the double harmonic major scale. [4]

Contents

Double harmonic scale

Details

The sequence of steps comprising the double harmonic scale is :

half, augmented second, half, whole, half, augmented second, half

Or, in relation to the tonic note

minor second, major third, perfect fourth and fifth, minor sixth, major seventh, octave

However, this scale is commonly represented with the first and last half step each being represented with quarter tones:[ citation needed ]

Double harmonic scale

The non-quarter tone form is identical, in terms of notes, to the North Indian Thaat named Bhairav and the South Indian (Carnatic) Melakarta named Mayamalavagowla.

The double harmonic scale is arrived at by either:

It is referred to as the "double harmonic" scale because it contains two harmonic tetrads featuring augmented seconds. By contrast, both the harmonic major and harmonic minor scales contain only one augmented second, located between their sixth and seventh degrees.

The scale contains a built-in tritone substitution, a dominant seventh chord a half step above the root, with strong harmonic movement towards the tonic chord.

The double harmonic scale is not commonly used in classical music from Western culture, as it does not closely follow any of the basic musical modes, nor is it easily derived from them. It also does not easily fit into common Western chord progressions such as the authentic cadence. This is because it is mostly used as a modal scale, not intended for much movement through chord progressions.

The Arabic scale (in the key of E) was used in Nikolas Roubanis's "Misirlou", and in the Bacchanale from the opera Samson and Delilah by Saint-Saëns. Claude Debussy used the scale in "Soirée dans Grenade", "La Puerta del Vino", and "Sérénade interrompue" to evoke Spanish flamenco music or Moorish heritage. [5] In popular music, Ritchie Blackmore of Deep Purple and Rainbow used the scale in pieces such as "Gates of Babylon" and "Stargazer". The Miles Davis jazz standard "Nardis" also makes use of the double harmonic.[ citation needed ]. Opeth used this scale in their song "Bleak" from the album Blackwater Park . Megadeth use the scale in a guitar solo from their song "The Threat Is Real" from their 2015 album Dystopia . It is also used by Hans Zimmer in his score for Dune .

Symmetry and balance

The double harmonic scale features radial symmetry, or symmetry around its root, or center note. Breaking up the three note chromaticism and removing this symmetry by sharpening the 2nd or flattening the 7th note respectively by one semitone yields the harmonic major and Phrygian Dominant mode of the harmonic minor scales respectively, each of which, unlike the double harmonic minor scale, has a full diminished chord backbone.

This scale (and its modes like the Hungarian minor scale) is the only seven-note scale (in 12-tone equal temperament) that is perfectly balanced; this means that when its pitches are represented as points on a circle (whose full circumference represents an octave), their average position (or "centre of mass") is the centre of the circle. [6]

Tetrads

The main chords of the double harmonic major are:

The main chords of the c double harmonic major scale. Tetrads C Doube Harmonic Major.png
The main chords of the c double harmonic major scale.

I7M bII7M iii6 iv7M V7(b5) bVI7M(#5) viisus2add13(b5)


There are other possibilities of tetrad:

I7M(#5) bII7 bii7M bii7 bii7(b5) III6 iv° V6(b5) bvi°

Modes

Like all heptatonic (seven-pitch) scales, the double harmonic scale has a mode for each of its individual scale degrees. The most commonly known of these modes is the 4th mode, the Hungarian minor scale, most similar to the harmonic minor scale with a raised 4th degree. The modes are as follows: [7]

ModeName of scaleDegrees
1Double harmonic major12345678
2Lydian 2 612345678
3Ultraphrygian123456 Doubleflat.svg 78
4 Hungarian/Gypsy minor 12345678
5 Oriental 12345678
6Ionian 2 512345678
7Locrian Doubleflat.svg 3 Doubleflat.svg 712 Doubleflat.svg 3456 Doubleflat.svg 78

Some of the closest existing scales to the double harmonic major scale are the Phrygian dominant scale, the fifth mode of the harmonic minor scale, as they are alike save for the Phrygian dominant's flattened seventh degree. The harmonic major scale (also known as major flat 6 and Ionian flat 6) is identical to the standard major scale aside from the sixth scale degree being flattened by a semitone, differing from the double harmonic major in having a natural second degree.

See also

Related Research Articles

In music theory, the term mode or modus is used in a number of distinct senses, depending on context.

<span class="mw-page-title-main">Major scale</span> Musical scale made of seven notes

The major scale is one of the most commonly used musical scales, especially in Western music. It is one of the diatonic scales. Like many musical scales, it is made up of seven notes: the eighth duplicates the first at double its frequency so that it is called a higher octave of the same note.

In music theory, the minor scale has three scale patterns – the natural minor scale, the harmonic minor scale, and the melodic minor scale – mirroring the major scale, with its harmonic and melodic forms.

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.

A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's root. When not otherwise specified, a "seventh chord" usually means a dominant seventh chord: a major triad together with a minor seventh. However, a variety of sevenths may be added to a variety of triads, resulting in many different types of seventh chords.

<span class="mw-page-title-main">Augmented fifth</span> Musical interval

In Western classical music, an augmented fifth is an interval produced by widening a perfect fifth by a chromatic semitone. For instance, the interval from C to G is a perfect fifth, seven semitones wide, and both the intervals from C to G, and from C to G are augmented fifths, spanning eight semitones. Being augmented, it is considered a dissonant interval.

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 Classical music theory, a Neapolitan chord is a major chord built on the lowered (flatted) second (supertonic) scale degree. In Schenkerian analysis, it is known as a Phrygian II, since in minor scales the chord is built on the notes of the corresponding Phrygian mode.

In music, the Phrygian dominant scale is the fifth mode of the harmonic minor scale, the fifth being the dominant. Also called the altered Phrygian scale, dominant flat 2 flat 6, or Freygish scale. It resembles the Phrygian mode but with a major third, rather than a minor third.

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.

<span class="mw-page-title-main">Heptatonic scale</span> Musical scale with seven pitches

A heptatonic scale is a musical scale that has seven pitches, or tones, per octave. Examples include:

<span class="mw-page-title-main">Augmented second</span> Musical interval

In classical music from Western culture, an augmented second is an interval that, in equal temperament, is sonically equivalent to a minor third, spanning three semitones, and is created by widening a major second by a chromatic semitone. For instance, the interval from C to D is a major second, two semitones wide, and the interval from C to D is an augmented second, spanning three semitones.

<span class="mw-page-title-main">Harmonic major scale</span> Musical 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, or Raag Nat Bhairav in Hindustani music.

Jazz chords are chords, chord voicings and chord symbols that jazz musicians commonly use in composition, improvisation, and harmony. In jazz chords and theory, most triads that appear in lead sheets or fake books can have sevenths added to them, using the performer's discretion and ear. For example, if a tune is in the key of C, if there is a G chord, the chord-playing performer usually voices this chord as G7. While the notes of a G7 chord are G–B–D–F, jazz often omits the fifth of the chord—and even the root if playing in a group. However, not all jazz pianists leave out the root when they play voicings: Bud Powell, one of the best-known of the bebop pianists, and Horace Silver, whose quintet included many of jazz's biggest names from the 1950s to the 1970s, included the root note in their voicings.

The harmonic minor scale is a musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, creating an augmented second between the sixth and seventh degrees.

In music theory, the half-diminished seventh chord is a seventh chord composed of a root note, together with a minor third, a diminished fifth, and a minor seventh. For example, the half-diminished seventh chord built on B, commonly written as Bm7(♭5), or Bø7, has pitches B-D-F-A:

The Persian scale is a musical scale occasionally found in guitar scale books, along with other scales inspired by Middle Eastern music. It is characterized by the liberal use of half steps (4), augmented seconds (2), and frequent use of chromaticism. Compare this to the one augmented second of the harmonic minor or the use of only two half-steps in all diatonic scales. This is also the Locrian mode with a major third and major seventh degree.

The jazz minor scale or ascending melodic minor scale is a derivative of the melodic minor scale, except only the ascending form of the scale is used. As the name implies, it is primarily used in jazz, although it may be found in other types of music as well. It may be derived from the major scale with a minor third, making it a synthetic scale, and features a dominant seventh chord on the fifth degree (V) like the harmonic minor scale. It can also be derived from the diatonic Dorian mode with a major seventh.

The Hungarian major scale is a heptatonic scale subset of the octatonic scale with an omitted 2 degree. It has the following interval structure in semitones: 3, 1, 2, 1, 2, 1, 2, giving it the notes C D E F G A B in the key of C. It is, "used extensively in Hungarian gypsy music [sic]", as well as in classical music by composers including Franz Liszt and Zoltán Kodály ," as well as in Thea Musgrave's Horn Concerto (1971). As a chord scale, Hungarian Major is both a dominant and a diminished scale, with a fully diminished seventh chord composed of C, D#, F#, and A, and a dominant seventh chord composed of C, E, G, and Bb. This is an enharmonic mode of Bb Harmonic Major, along with G Harmonic Minor and E Hungarian Minor. The root note of D Aeolian Dominant is raised a semitone to D#, and the root note of B Phrygian Dominant lowered a semitone to Bb. There is also a ♮6 & ♮2 with the Bb Super Lydian Augmented scale, lowering the C# & G# to C♮ & G♮.

The Romanian major scale is a heptatonic scale subset of the octatonic scale with an omitted 3 degree. It is noted for its flattened 2nd and sharpened fourth degrees, the latter a distinctive feature of Romanian traditional music. It has the following interval structure in semitones: 1, 3, 2, 1, 2, 1, 2, giving it the notes C, D, E, F, G, A, B in the key of C. Though it is called a major scale, it is typically played over a C13 dominant chord. This is an enharmonic mode of B Harmonic Minor, along with D Harmonic Major. The root note of F Harmonic Major is raised a semitone to F#, and the root note of D Aeolian Dominant lowered a semitone to Db. There is also a ♮6 with the Db Super Lydian Augmented scale, lowering the B♮ to Bb.

References

  1. 1 2 3 Stetina, Troy (1999). The Ultimate Scale Book, p. 59. ISBN   0-7935-9788-9.
  2. Christiansen, Mike (2003). Mel Bay Complete Guitar Scale Dictionary, p. 43. ISBN   0-7866-6994-2.
  3. Jonathan Bellman, The "Style hongrois" in the Music of Western Europe (Boston: Northeastern University Press Archived 2011-01-15 at the Wayback Machine , 1993): 120. ISBN   1-55553-169-5.
  4. "R. G. Kiesewetter's 'Die Musik der Araber': A Pioneering Ethnomusicological Study of Arabic Writings on Music", p. 12. Philip V. Bohlman. Asian Music , vol. 18, no. 1. (Autumn–Winter, 1986), pp. 164–196.
  5. Elie Robert Schmitz, Virgil Thomson (1966). The Piano Works of Claude Debussy, p. 28. ISBN   0-486-21567-9.
  6. Milne, A. J., Bulger, D., Herff, S. A. Sethares, W. A. "Perfect balance: A novel principle for the construction of musical scales and meters", Mathematics and Computation in Music (Lecture Notes in Computer Science, vol. 9110, pp. 97–108) Heidelberg: Springer. ISBN   978-3-319-20602-8
  7. Patrice, "Acheter une guitare électrique – Zoom pour ne pas se tromper [ failed verification ] Archived June 18, 2015, at the Wayback Machine " 23 May 2016 (accessed 9 October 2016).

Further reading