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Interval cycle

Index Interval cycle

In music, an interval cycle is a collection of pitch classes created from a sequence of the same interval class. [1]

43 relations: Alban Berg, Alexander Scriabin, Anton Webern, Arnold Schoenberg, Atonality, Augmented triad, Béla Bartók, Chord progression, Chromatic scale, Coltrane changes, Complement (music), Cyclic set, Diatonic and chromatic, Diatonic scale, Diesis, Diminished seventh chord, Edgard Varèse, Equal temperament, Generated collection, George Perle, Gustav Mahler, Harmonic, Identity (music), Interval (music), Interval class, Interval vector, Jazz, Just intonation, Lyric Suite (Berg), Major third, Mixed-interval chord, Music, Musical note, Pitch (music), Pitch class, Richard Wagner, Second Viennese School, Set (music), Simultaneity (music), Symmetry, Tonality, Tone row, Transposition (music).

Alban Berg

Alban Maria Johannes Berg (February 9, 1885 – December 24, 1935) was an Austrian composer of the Second Viennese School.

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Alexander Scriabin

Alexander Nikolayevich Scriabin (Алекса́ндр Никола́евич Скря́бин; –) was a Russian composer and pianist.

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Anton Webern

Anton Friedrich Wilhelm (von) Webern (3 December 188315 September 1945) was an Austrian composer and conductor.

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Arnold Schoenberg

Arnold Franz Walter Schoenberg or Schönberg (13 September 187413 July 1951) was an Austrian-American composer, music theorist, teacher, writer, and painter.

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Atonality in its broadest sense is music that lacks a tonal center, or key.

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Augmented triad

An augmented triad is a chord, made up of two major thirds (an augmented fifth).

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Béla Bartók

Béla Viktor János Bartók (25 March 1881 – 26 September 1945) was a Hungarian composer, pianist and an ethnomusicologist.

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Chord progression

A chord progression or harmonic progression is a succession of musical chords, which are two or more notes, typically sounded simultaneously.

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Chromatic scale

The chromatic scale is a musical scale with twelve pitches, each a semitone above or below its adjacent pitches.

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Coltrane changes

In jazz harmony, the Coltrane changes (Coltrane Matrix or cycle, also known as chromatic third relations and multi-tonic changes) are a harmonic progression variation using substitute chords over common jazz chord progressions.

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Complement (music)

In music theory, complement refers to either traditional interval complementation, or the aggregate complementation of twelve-tone and serialism.

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Cyclic set

In music, a cyclic set is a set, "whose alternate elements unfold complementary cycles of a single interval."Perle, George (1996).

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Diatonic and chromatic

Diatonic (διατονική) and chromatic (χρωματική) are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony.

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Diatonic scale

In western music theory, a diatonic scale is a heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps, depending on their position in the scale.

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In classical music from Western culture, a diesis ("difference"; Greek: δίεσις "leak" or "escape"Benson, Dave (2006). Music: A Mathematical Offering, p.171.. Based on the technique of playing the aulos, where pitch is raised a small amount by slightly raising the finger on the lowest closed hole, letting a small amount of air "escape".) is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents.

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Diminished seventh chord

The diminished seventh chord is commonly used in the harmony of both Western classical music and also in jazz and popular music of the twentieth and twenty-first centuries.

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Edgard Varèse

Edgard Victor Achille Charles Varèse (also spelled Edgar Varèse;Malcolm MacDonald, Varèse, Astronomer in Sound (London, 2003), p. xi. December 22, 1883 – November 6, 1965) was a French-born composer who spent the greater part of his career in the United States.

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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.

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Generated collection

In diatonic set theory, a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the chromatic circle until a complete collection or scale is formed.

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George Perle

George Perle (May 6, 1915 – January 23, 2009) was a composer and music theorist.

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Gustav Mahler

Gustav Mahler (7 July 1860 – 18 May 1911) was an Austro-Bohemian late-Romantic composer, and one of the leading conductors of his generation.

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A harmonic is any member of the harmonic series, a divergent infinite series.

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Identity (music)

In post-tonal music theory, identity is similar to identity in universal algebra.

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Interval (music)

In music theory, an interval is the difference between two pitches.

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Interval class

In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'", is the shortest distance in pitch class space between two unordered pitch classes.

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Interval vector

In musical set theory, an interval vector is an array of natural numbers which summarize the intervals present in a set of pitch classes.

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Jazz is a music genre that originated in the African-American communities of New Orleans, United States, in the late 19th and early 20th centuries, and developed from roots in blues and ragtime.

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Just intonation

In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.

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Lyric Suite (Berg)

The Lyric Suite is a six-movement work for string quartet written by Alban Berg between 1925 and 1926 using methods derived from Arnold Schoenberg's twelve-tone technique.

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Major third

In classical music from Western culture, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third is a third spanning four semitones.

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Mixed-interval chord

In music a mixed-interval chord is a chord not characterized by one consistent interval.

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Music is an art form and cultural activity whose medium is sound organized in time.

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Musical note

In music, a note is the pitch and duration of a sound, and also its representation in musical notation (♪, ♩).

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Pitch (music)

Pitch is a perceptual property of sounds that allows their ordering on a frequency-related scale, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

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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, e.g., the pitch class C consists of the Cs in all octaves.

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Richard Wagner

Wilhelm Richard Wagner (22 May 181313 February 1883) was a German composer, theatre director, polemicist, and conductor who is chiefly known for his operas (or, as some of his later works were later known, "music dramas").

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Second Viennese School

The Second Viennese School (Zweite Wiener Schule, Neue Wiener Schule) is the group of composers that comprised Arnold Schoenberg and his pupils and close associates in early 20th century Vienna, where he lived and taught, sporadically, between 1903 and 1925.

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Set (music)

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.

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Simultaneity (music)

In music, a simultaneity is more than one complete musical texture occurring at the same time, rather than in succession.

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Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.

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Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions and directionality.

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Tone row

In music, a tone row or note row (Reihe or Tonreihe), also series or set,George Perle, Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern, fourth Edition (Berkeley, Los Angeles, and London: University of California Press, 1977): 3.

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Transposition (music)

In music transposition refers to the process, or operation, of moving a collection of notes (pitches or pitch classes) up or down in pitch by a constant interval.

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Redirects here:

I cycle, Interval array, Interval cycles, Intervallic array, P cycle, P-I dyad, P/I dyad, PI dyad.


[1] https://en.wikipedia.org/wiki/Interval_cycle

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