In music and music theory, a hexatonic scale is a scale with six pitches or notes per octave. Famous examples include the whole-tone scale, C D E F♯ G♯ A♯ C; the augmented scale, C D♯ E G A♭ B C; the Prometheus scale, C D E F♯ A B♭ C; and the blues scale, C E♭ F G♭ G B♭ C. A hexatonic scale can also be formed by stacking perfect fifths. This results in a diatonic scale with one note removed (for example, A C D E F G).
The whole-tone scale is a series of whole tones. It has two non-enharmonically equivalent positions: C D E F♯ G♯ A♯ C and D♭ E♭ F G A B D♭. It is primarily associated with the French impressionist composer Claude Debussy, who used it in such pieces of his as Voiles and Le vent dans la plaine, both from his first book of piano Préludes .
This whole-tone scale has appeared occasionally and sporadically in jazz at least since Bix Beiderbecke's impressionistic piano piece In a Mist. Bop pianist Thelonious Monk often interpolated whole-tone scale flourishes into his improvisations and compositions.
The major hexatonic scale is made from a major scale and removing the seventh note, e.g., C D E F G A C. [1] It can also be made from superimposing mutually exclusive triads, e.g., C E G and D F A. [2]
Similarly, the minor hexatonic scale is made from a minor scale by removing the sixth note, e.g., C D E♭ F G B♭ C. [1]
Irish and Scottish and many other folk traditions use six-note scales. They can be easily described by the addition of two triads a tone apart, e.g., Am and G in "Shady Grove", or omitting the fourth or sixth from the seven-note diatonic scale. [ citation needed ]
Mode | I | II | III | IV | V | VI |
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Name | Major hexatonic | Minor hexatonic | Ritsu Onkai | Raga Kumud | Mixolydian hexatonic | Phrygian hexatonic |
Notes | 1 2 3 4 5 6 | 1 2 ♭3 4 5 ♭7 | 1 ♭2 ♭3 4 ♭6 ♭7 | 1 2 3 5 6 7 | 1 2 4 5 6 ♭7 | 1 ♭3 4 5 ♭6 ♭7 |
Based on modes |
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Omitted note | 7 | 6 | 5 | 4 | 3 | 2 |
The augmented scale, also known in jazz theory as the symmetrical augmented scale, [3] is so called because it can be thought of as an interlocking combination of two augmented triads an augmented second or minor third apart: C E G♯ and E♭ G B. It may also be called the "minor-third half-step scale", owing to the series of intervals produced. [3]
It made one of its most celebrated early appearances in Franz Liszt's Faust Symphony (Eine Faust Symphonie). Another famous use of the augmented scale (in jazz) is in Oliver Nelson's solo on "Stolen Moments". [4] It is also prevalent in 20th century compositions by Alberto Ginastera, [5] Almeida Prado, [6] Béla Bartók, [7] Milton Babbitt, and Arnold Schoenberg, by saxophonists John Coltrane and Oliver Nelson in the late 1950s and early 1960s, and bandleader Michael Brecker. [3] Alternating E major and C minor triads form the augmented scale in the opening bars of the Finale in Shostakovich's Second Piano Trio.[ citation needed ]
The Prometheus scale is so called because of its prominent use in Alexander Scriabin's symphonic poem Prometheus: The Poem of Fire . Scriabin himself called this set of pitches, voiced as the simultaneity (in ascending order) C F♯ B♭ E A D the "mystic chord". Others have referred to it as the "Promethean chord". It may be thought of as C Lydian dominant without the 5th degree.
It can also be though as a triad pair: a minor triad and an augmented triad 1/2 step up. For example, A minor triad and B flat augmented triad.
The blues scale is so named for its use of blue notes. Since blue notes are alternate inflections, strictly speaking there can be no one blues scale, [8] but the scale most commonly called "the blues scale" comprises the minor pentatonic scale and an additional flat 5th scale degree: C E♭ F G♭ G B♭ C. [9] [10] [11]
The tritone scale, C D♭ E G♭ G(♮) B♭, [12] [ unreliable source? ] is enharmonically equivalent to the Petrushka chord; it means a C major chord ( C E G(♮) ) + G♭ major chord's 2nd inversion ( D♭ G♭ B♭ ). [13]
The two-semitone tritone scale, C D♭ D F♯ G A♭, is a symmetric scale consisting of a repeated pattern of two semitones followed by a major third now used for improvisation and may substitute for any mode of the jazz minor scale. [14] The scale originated in Nicolas Slonimsky's book Thesaurus of Scales and Melodic Patterns through the "equal division of one octave into two parts," creating a tritone, and the "interpolation of two notes," adding two consequent semitones after the two resulting notes. [15] The scale is the fifth mode of Messiaen's list.
In western classical music theory, the minor scale refers to three scale patterns – the natural minor scale, the harmonic minor scale, and the melodic minor scale.
In music theory, a scale is "any consecutive series of notes that form a progression between one note and its octave", typically by order of pitch or fundamental frequency.
In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.
In music theory, the tritone is defined as a musical interval spanning three adjacent whole tones. For instance, the interval from F up to the B above it is a tritone as it can be decomposed into the three adjacent whole tones F–G, G–A, and A–B.
An altered chord is a chord that replaces one or more notes from the diatonic scale with a neighboring pitch from the chromatic scale. By the broadest definition, any chord with a non-diatonic chord tone is an altered chord. The simplest example of altered chords is the use of borrowed chords, chords borrowed from the parallel key, and the most common is the use of secondary dominants. As Alfred Blatter explains, "An altered chord occurs when one of the standard, functional chords is given another quality by the modification of one or more components of the chord."
An octatonic scale is any eight-note musical scale. However, the term most often refers to the ancohemitonic symmetric scale composed of alternating whole and half steps, as shown at right. In classical theory, this symmetrical scale is commonly called the octatonic scale, although there are a total of 43 enharmonically inequivalent, transpositionally inequivalent 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 eight-note bebop scales, add additional chromatic passing tones to the familiar seven-note diatonic scales.
In music, a chord is a group of three or more notes played simultaneously, typically consisting of a root note, a third, and a fifth. Chords are the building blocks of harmony and form the harmonic foundation of a piece of music. They can be major, minor, diminished, augmented, or extended, depending on the intervals between the notes and their arrangement. Chords provide the harmonic support and coloration that accompany melodies and contribute to the overall sound and mood of a musical composition. For many practical and theoretical purposes, arpeggios and other types of broken chords 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.
Chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. In simple terms, within each octave, diatonic music uses only seven different notes, rather than the twelve available on a standard piano keyboard. Music is chromatic when it uses more than just these seven notes.
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.
In music theory, chord substitution is the technique of using a chord in place of another in a progression of chords, or a chord progression. Much of the European classical repertoire and the vast majority of blues, jazz and rock music songs are based on chord progressions. "A chord substitution occurs when a chord is replaced by another that is made to function like the original. Usually substituted chords possess two pitches in common with the triad that they are replacing."
A heptatonic scale is a musical scale that has seven pitches, or tones, per octave. Examples include:
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. 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.
Quarter-comma meantone, or 1 / 4 -comma meantone, was the most common meantone temperament in the sixteenth and seventeenth centuries, and was sometimes used later. In this system the perfect fifth is flattened by one quarter of a syntonic comma ( 81 : 80 ), with respect to its just intonation used in Pythagorean tuning ; the result is 3 / 2 × [ 80 / 81 ] 1 / 4 = 4√5 ≈ 1.49535, or a fifth of 696.578 cents. This fifth is then iterated to generate the diatonic scale and other notes of the temperament. The purpose is to obtain justly intoned major thirds. It was described by Pietro Aron in his Toscanello de la Musica of 1523, by saying the major thirds should be tuned to be "sonorous and just, as united as possible." Later theorists Gioseffo Zarlino and Francisco de Salinas described the tuning with mathematical exactitude.
A synthetic mode is a mode that cannot be derived from the diatonic scale by starting on a different note. Whereas the seven modes are all derived from the same scale and therefore can coincide with each other, synthetic modes work differently.
In music, harmonization is the chordal accompaniment to a line or melody: "Using chords and melodies together, making harmony by stacking scale tones as triads".
Musicians use various kinds of chord names and symbols in different contexts to represent musical chords. In most genres of popular music, including jazz, pop, and rock, a chord name and its corresponding symbol typically indicate one or more of the following:
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.