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.
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 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 non-equivalent, transpositionally non-equivalent eight-note sets.
In jazz, the altered scale, altered dominant scale, or Super Locrian scale is a seven-note scale that is a dominant scale where all non-essential tones have been altered. This means that it comprises the three irreducibly essential tones that define a dominant seventh chord, which are root, major third, and minor seventh and that all other chord tones have been altered. These are:
In music, modulation is the change from one tonality to another. This may or may not be accompanied by a change in key signature. Modulations articulate or create the structure or form of many pieces, as well as add interest. Treatment of a chord as the tonic for less than a phrase is considered tonicization.
Modulation is the essential part of the art. Without it there is little music, for a piece derives its true beauty not from the large number of fixed modes which it embraces but rather from the subtle fabric of its modulation.
In music theory, the circle of fifths is a way of organizing pitches as a sequence of perfect fifths. Starting on a C, and using the standard system of tuning for Western music, the sequence is: C, G, D, A, E, B, F♯, C♯, G♯, D♯, A♯, E♯ (F), C. This order places the most closely related key signatures adjacent to one another. It is usually illustrated in the form of a circle.
Elektra, Op. 58, is a one-act opera by Richard Strauss, to a German-language libretto by Hugo von Hofmannsthal, which he adapted from his 1903 drama Elektra. The opera was the first of many collaborations between Strauss and Hofmannsthal. It was first performed at the Königliches Opernhaus in Dresden on 25 January 1909. It was dedicated to his friends Natalie and Willy Levin.
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.
The term sixth chord refers to two different kinds of chord, the first in classical music and the second in modern popular music.
In music theory, a ninth chord is a chord that encompasses the interval of a ninth when arranged in close position with the root in the bass.
The ninth chord and its inversions exist today, or at least they can exist. The pupil will easily find examples in the literature [such as Schoenberg's Verklärte Nacht and Strauss's opera Salome]. It is not necessary to set up special laws for its treatment. If one wants to be careful, one will be able to use the laws that pertain to the seventh chords: that is, dissonances resolve by step downward, the root leaps a fourth upward.
The original Tristan chord is heard in the opening phrase of Richard Wagner's opera Tristan und Isolde as part of the leitmotif relating to Tristan. It is made up of the notes F, B, D♯, and G♯:
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.
The tritone substitution is a common chord substitution found in both jazz and classical music. Where jazz is concerned, it was the precursor to more complex substitution patterns like Coltrane changes. Tritone substitutions are sometimes used in improvisation—often to create tension during a solo. Though examples of the tritone substitution, known in the classical world as an augmented sixth chord, can be found extensively in classical music since the Renaissance period, they were not heard until much later in jazz by musicians such as Dizzy Gillespie and Charlie Parker in the 1940s, as well as Duke Ellington, Art Tatum, Coleman Hawkins, Roy Eldridge and Benny Goodman.
An Alpine Symphony, Op. 64, is a tone poem for large orchestra written by German composer Richard Strauss in 1915. It is one of Strauss's largest non-operatic works; the score calls for about 125 players and a typical performance usually lasts around 50 minutes. The program of An Alpine Symphony depicts the experiences of eleven hours spent climbing an Alpine mountain.
Ein Heldenleben, Op. 40, is a tone poem by Richard Strauss. The work was completed in 1898. It was his eighth work in the genre, and exceeded any of its predecessors in its orchestral demands. Generally agreed to be autobiographical in nature despite contradictory statements on the matter by the composer, the work contains more than thirty quotations from Strauss's earlier works, including Also sprach Zarathustra, Till Eulenspiegel, Don Quixote, Don Juan, and Death and Transfiguration.
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.
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:
F-flat major is a theoretical key based on F♭, consisting of the pitches F♭, G♭, A♭, B, C♭, D♭, and E♭. Its key signature has one double flat and six flats.
In music theory, Roman numeral analysis is a type of harmonic analysis in which chords are represented by Roman numerals, which encode the chord's degree and harmonic function within a given musical key.
The Piano Quartet No. 3 in C minor, Op. 60, completed by Johannes Brahms in 1875, is scored for piano, violin, viola and cello. It is sometimes called the Werther Quartet after Goethe's The Sorrows of Young Werther. The premiere took place in Vienna on November 18, 1875, to an anxious public. Richard Wagner and his wife Cosima were in attendance.
