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  2. Function (music) - Wikipedia

    en.wikipedia.org/wiki/Function_(music)

    The concept of harmonic function originates in theories about just intonation.It was realized that three perfect major triads, distant from each other by a perfect fifth, produced the seven degrees of the major scale in one of the possible forms of just intonation: for instance, the triads F–A–C, C–E–G and G–B–D (subdominant, tonic, and dominant respectively) produce the seven ...

  3. Tonality - Wikipedia

    en.wikipedia.org/wiki/Tonality

    "All harmonic idioms in popular music are tonal, and none is without function." [4] [vague] Tonality is an organized system of tones (e.g., the tones of a major or minor scale) in which one tone (the tonic) becomes the central point for the remaining tones. The other tones in a tonal piece are all defined in terms of their relationship to the ...

  4. Atonality - Wikipedia

    en.wikipedia.org/wiki/Atonality

    Atonality in its broadest sense is music that lacks a tonal center, or key. [1] Atonality, in this sense, usually describes compositions written from about the early 20th-century to the present day, where a hierarchy of harmonies focusing on a single, central triad is not used, and the notes of the chromatic scale function independently of one another. [2]

  5. Tonnetz - Wikipedia

    en.wikipedia.org/wiki/Tonnetz

    Euler's Tonnetz. The Tonnetz originally appeared in Leonhard Euler's 1739 Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae.Euler's Tonnetz, pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a ...

  6. Chord progression - Wikipedia

    en.wikipedia.org/wiki/Chord_progression

    In tonal music, chord progressions have the function of either establishing or otherwise contradicting a tonality, the technical name for what is commonly understood as the "key" of a song or piece. Chord progressions, such as the extremely common chord progression I-V-vi-IV, are usually expressed by Roman numerals in Classical music theory.

  7. Musical syntax - Wikipedia

    en.wikipedia.org/wiki/Musical_syntax

    For the processing of chord functions four steps in processing can be described. (1)Primarily, a tonal centre has to be detected out of the first chords of a sequence. Often the first chord is interpreted as the tonal centre of a sequence and a reevaluation is necessary, if the first chord has another harmonic function.

  8. Tonic (music) - Wikipedia

    en.wikipedia.org/wiki/Tonic_(music)

    In music, the tonic is the first scale degree of the diatonic scale (the first note of a scale) and the tonal center or final resolution tone [1] that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as do.

  9. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Musical form is the plan by which a short piece of music is extended. The term "plan" is also used in architecture, to which musical form is often compared. Like the architect, the composer must take into account the function for which the work is intended and the means available, practicing economy and making use of repetition and order. [10]