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  2. Inversion (music) - Wikipedia

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

    An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved.

  3. Triad (music) - Wikipedia

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

    Types of triads: I ⓘ, i ⓘ, i o ⓘ, I + ⓘ In music, a triad is a set of three notes (or "pitch classes") that can be stacked vertically in thirds. [1] Triads are the most common chords in Western music. When stacked in thirds, notes produce triads. The triad's members, from lowest-pitched tone to highest, are called: [1] the root

  4. Diminished triad - Wikipedia

    en.wikipedia.org/wiki/Diminished_triad

    This triad is consequently called the supertonic diminished triad. Like the supertonic minor triad found in a major key, the supertonic diminished triad has a predominant function, almost always resolving to a dominant functioning chord. [7] If the music is in a minor key, diminished triads can also be found on the raised seventh note, ♯ vii o.

  5. Riemannian theory - Wikipedia

    en.wikipedia.org/wiki/Riemannian_theory

    A Wechsel inverted a triad according to the Riemann's theory of dualism, mapping a major triad to a minor triad. For example, Seitenwechsel ("die Seiten wechseln" translates as "to exchange sides") mapped a triad on to its parallel minor or major, transforming C major to C minor and conversely. [7]

  6. Undertone series - Wikipedia

    en.wikipedia.org/wiki/Undertone_series

    The undertone series in C contains the F minor triad. Elizabeth Godley argued that the minor triad is also implied by the undertone series and is also a naturally occurring thing in acoustics. [9] "According to this theory the upper and not the lower tone of a minor chord is the generating tone on which the unity of the chord is conditioned."

  7. Music theory - Wikipedia

    en.wikipedia.org/wiki/Music_theory

    The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...

  8. Interval vector - Wikipedia

    en.wikipedia.org/wiki/Interval_vector

    Successive Z-related hexachords from act 3 of Wozzeck [4]: 79 Play ⓘ. In musical set theory, a Z-relation, also called isomeric relation, is a relation between two pitch class sets in which the two sets have the same intervallic content (and thus the same interval vector) but they are not transpositionally related (are of different T n-type ) or inversionally related (are of different T n /T ...

  9. Post-tonal music theory - Wikipedia

    en.wikipedia.org/wiki/Post-tonal_music_theory

    Post-tonal music theory is the set of theories put forward to describe music written outside of, or 'after', the tonal system of the common practice period.It revolves around the idea of 'emancipating dissonance', that is, freeing the structure of music from the familiar harmonic patterns that are derived from natural overtones.