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  2. Jazz improvisation - Wikipedia

    en.wikipedia.org/wiki/Jazz_improvisation

    Jazz improvisation is the spontaneous invention of melodic solo lines or accompaniment parts in a performance of jazz music. It is one of the defining elements of jazz. Improvisation is composing on the spot, when a singer or instrumentalist invents melodies and lines over a chord progression played by rhythm section instruments (piano, guitar ...

  3. Outside (jazz) - Wikipedia

    en.wikipedia.org/wiki/Outside_(jazz)

    Outside (jazz) In jazz improvisation, outside playing describes approaches where one plays over a scale, mode or chord that is harmonically distant from the given chord. There are several common techniques to playing outside, that include side-stepping or side-slipping, superimposition of Coltrane changes, [1] and polytonality.

  4. Coltrane changes - Wikipedia

    en.wikipedia.org/wiki/Coltrane_changes

    See media help. In the standard Coltrane change cycle the ii–V–I is substituted with a progression of chords that cycle back to the V–I at the end. In a 44 piece, each chord gets two beats per change. Coltrane developed this modified chord progression for "Countdown", which is much more complex.

  5. Musical improvisation - Wikipedia

    en.wikipedia.org/wiki/Musical_improvisation

    Musical improvisation (also known as musical extemporization) is the creative activity of immediate ("in the moment") musical composition, which combines performance with communication of emotions and instrumental technique as well as spontaneous response to other musicians. [ 1] Sometimes musical ideas in improvisation are spontaneous, but may ...

  6. Tritone substitution - Wikipedia

    en.wikipedia.org/wiki/Tritone_substitution

    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.

  7. Jazz chord - Wikipedia

    en.wikipedia.org/wiki/Jazz_chord

    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. [ 1] For example, if a tune is in the key of C, if there ...

  8. Harmolodics - Wikipedia

    en.wikipedia.org/wiki/Harmolodics

    Harmolodics is a musical philosophy and method of musical composition and improvisation developed by American jazz saxophonist-composer Ornette Coleman. His work following this philosophy during the late 1970s and 1980s inspired a style of forward-thinking jazz-funk known as harmolodic funk. [1] It is associated with avant-garde jazz and free ...

  9. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory .