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, the tonic is the first scale degree of the diatonic scale and the tonal center or final resolution tone that is commonly used in the final cadence in tonal classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as do. More generally, the tonic is the note upon which all other notes of a piece are hierarchically referenced. Scales are named after their tonics: for instance, the tonic of the C major scale is the note C.
Polytonality is the musical use of more than one key simultaneously. Bitonality is the use of only two different keys at the same time. Polyvalence or polyvalency is the use of more than one harmonic function, from the same key, at the same time.
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 bebop scales, add additional chromatic passing tones to the familiar diatonic scales.
Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions, and directionality. In this hierarchy the single pitch or triad with the greatest stability is called the tonic. The root of the tonic triad forms the name given to the key, so in the key of C major the tone C can be both the tonic of the scale and the root of the tonic triad. The tonic can be a different tone in the same scale, when the work is said to be in one of the modes of the scale.
The term sixth chord refers to two different kinds of chord, the first in classical music and the second in modern popular music.
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.
Pandiatonicism is a musical technique of using the diatonic scale without the limitations of functional tonality. Music using this technique is pandiatonic.
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.
The Symphony of Psalms is a choral symphony in three movements composed by Igor Stravinsky in 1930 during his neoclassical period. The work was commissioned by Serge Koussevitzky to celebrate the 50th anniversary of the Boston Symphony Orchestra. The symphony derives its name from the use of Psalm texts in the choral parts.
In music, the acoustic scale, overtone scale, Lydian dominant scale, or the Mixolydian ♯4 scale is a seven-note synthetic scale. It is the fourth mode of the ascending melodic minor scale.
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 and create a dissonant chord.
Transformational theory is a branch of music theory developed by David Lewin in the 1980s, and formally introduced in his 1987 work, Generalized Musical Intervals and Transformations. The theory—which models musical transformations as elements of a mathematical group—can be used to analyze both tonal and atonal music.
In jazz theory, an avoid note is a scale degree which is considered especially dissonant relative to the harmony implied by the root chord, and is thus better avoided.
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 top register and the other in the bottom register. The third of the E-minor triad, rather than the tonic, receives strong emphasis.
Neo-Riemannian theory is a loose collection of ideas present in the writings of music theorists such as David Lewin, Brian Hyer, Richard Cohn, and Henry Klumpenhouwer. What binds these ideas is a central commitment to relating harmonies directly to each other, without necessary reference to a tonic. Initially, those harmonies were major and minor triads; subsequently, neo-Riemannian theory was extended to standard dissonant sonorities as well. Harmonic proximity is characteristically gauged by efficiency of voice leading. Thus, C major and E minor triads are close by virtue of requiring only a single semitonal shift to move from one to the other. Motion between proximate harmonies is described by simple transformations. For example, motion between a C major and E minor triad, in either direction, is executed by an "L" transformation. Extended progressions of harmonies are characteristically displayed on a geometric plane, or map, which portrays the entire system of harmonic relations. Where consensus is lacking is on the question of what is most central to the theory: smooth voice leading, transformations, or the system of relations that is mapped by the geometries. The theory is often invoked when analyzing harmonic practices within the Late Romantic period characterized by a high degree of chromaticism, including work of Schubert, Liszt, Wagner and Bruckner.
Dmitri Tymoczko is a composer and music theorist. His music, which draws on rock, jazz, and romanticism, has been performed by ensembles such as the Amernet String Quartet, the Brentano Quartet, Janus, Newspeak, the San Francisco Contemporary Players, the Pacifica Quartet, and the pianist Ursula Oppens. As a theorist, he has published more than two dozen articles dealing with topics related to contemporary tonality, including scales, voice leading, and functional harmonic norms. His article "The Geometry of Musical Chords" was the first music-theory article ever published by the journal Science.
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.
Scherzo fantastique, op. 3, composed in 1908, is the second purely orchestral work by Igor Stravinsky. Despite the composer's later description of the work as "a piece of 'pure', symphonic music", the work was inspired by Maurice Maeterlinck's 1901 essay "La Vie des Abeilles", as is made clear in a letter of 18 June 1907 from the composer to his teacher Rimsky-Korsakov. Ten years later, Léo Staats adapted it as a ballet for the Opéra Garnier, with the title Les Abeilles, which was objected to by Maeterlinck.
