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  2. Inversion (music) - Wikipedia

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

    That is, when the first goes up, the second goes down the same number of diatonic steps (with some chromatic alteration); and when the first goes down, the second goes up the same number of steps. In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of ...

  3. Second inversion - Wikipedia

    en.wikipedia.org/wiki/Second_inversion

    Second inversion. The second inversion of a chord is the voicing of a triad, seventh chord, or ninth chord in which the fifth of the chord is the bass note. In this inversion, the bass note and the root of the chord are a fourth apart which traditionally qualifies as a dissonance. There is therefore a tendency for movement and resolution.

  4. Roman numeral analysis - Wikipedia

    en.wikipedia.org/wiki/Roman_numeral_analysis

    5 is its first inversion (B–D–F–G); V 4 3 its second inversion (D–F–G–B); and V 4 2 or V 2 its third inversion (F–G–B–D). [10]: 79–80 In the United Kingdom, there exists another system where the Roman numerals are paired with Latin letters to denote inversion. [13]

  5. Inversions higher than third - Wikipedia

    en.wikipedia.org/wiki/Inversions_higher_than_third

    In music theory, inversions higher than the third require extended chords; the fourth inversion requires a ninth chord, the fifth an eleventh chord, etc. Regarding these extensions, the writer Marcus Miller notes that: If you're working with extended chords, there are more than two possible inversions. For example, the third inversion of a ...

  6. Third inversion - Wikipedia

    en.wikipedia.org/wiki/Third_inversion

    The third inversion of a seventh chord is the voicing in which the seventh of the chord is the bass note and the root a major second above it. In the third inversion of a G-dominant seventh chord, the bass is F — the seventh of the chord — with the root, third, and fifth stacked above it (the root now shifted an octave higher), forming the intervals of a second, a fourth, and a sixth above ...

  7. Symmetry operation - Wikipedia

    en.wikipedia.org/wiki/Symmetry_operation

    S 2 is usually denoted as i, an inversion operation about an inversion center. When n is an even number =, but when n is odd =. Rotation axes, mirror planes and inversion centres are symmetry elements, not symmetry operations. The rotation axis of the highest order is known as the principal rotation axis.

  8. Inversion (linguistics) - Wikipedia

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

    Inversion (linguistics) In linguistics, inversion is any of several grammatical constructions where two expressions switch their typical or expected order of appearance, that is, they invert. There are several types of subject-verb inversion in English: locative inversion, directive inversion, copular inversion, and quotative inversion.

  9. Inversion (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Inversion_(discrete...

    An inversion may be denoted by the pair of places (2, 4) or the pair of elements (5, 2). The inversions of this permutation using element-based notation are: (3, 1), (3, 2), (5, 1), (5, 2), and (5,4). In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order.