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  2. Inversion (music) - Wikipedia

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

    For example, a C-major chord in first inversion (i.e., with E in the bass) would be notated as "C/E". This notation works even when a note not present in a triad is the bass; for example, F/G [ 5 ] is a way of notating a particular approach to voicing an Fadd 9 chord (G–F–A–C).

  3. 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 ...

  4. Roman numeral analysis - Wikipedia

    en.wikipedia.org/wiki/Roman_numeral_analysis

    Inversion notation for Roman numeral analysis depicting both Arabic numeral and Latin letters. Roman numerals are sometimes complemented by Arabic numerals to denote inversion of the chords. The system is similar to that of Figured bass , the Arabic numerals describing the characteristic interval(s) above the bass note of the chord, the figures ...

  5. Inversive geometry - Wikipedia

    en.wikipedia.org/wiki/Inversive_geometry

    This is called circle inversion or plane inversion. The inversion taking any point P (other than O ) to its image P ' also takes P ' back to P , so the result of applying the same inversion twice is the identity transformation which makes it a self-inversion (i.e. an involution).

  6. 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.

  7. Retrograde inversion - Wikipedia

    en.wikipedia.org/wiki/Retrograde_inversion

    In music theory, retrograde inversion is a musical term that literally means "backwards and upside down": "The inverse of the series is sounded in reverse order." [ 1 ] Retrograde reverses the order of the motif 's pitches : what was the first pitch becomes the last, and vice versa. [ 2 ]

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  9. Second inversion - Wikipedia

    en.wikipedia.org/wiki/Second_inversion

    In figured bass, a second-inversion triad is a 6 4 chord (as in I 6 4), while a second-inversion seventh chord is a 4 3 chord. Inversions are not restricted to the same number of tones as the original chord, nor to any fixed order of tones except with regard to the interval between the root, or its octave, and the bass note, hence, great ...