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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: redrawn as svg image. The original can be viewed here: Inv2.png: . Modifications made by McSush.
A major triad has a major third (M3) on the bottom, a minor third (m3) on top, and a perfect fifth (P5) between the outer notes. In harmonic analysis and on lead sheets, a C major chord can be notated as C, CM, CΔ, or Cmaj. A major triad is represented by the integer notation {0, 4, 7}.
The first inversion of a chord is the voicing of a triad, seventh chord, or ninth chord in which the third of the chord is the bass note and the root a sixth above it. [1] In the first inversion of a C-major triad, the bass is E — the third of the triad — with the fifth and the root stacked above it (the root now shifted an octave higher), forming the intervals of a minor third and a minor ...
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.
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In the key of C major, an E ♭ triad would be notated as ♭ 3. In the key of A major, an F major triad would be notated as ♭ 6. Other chord qualities such as major sevenths, suspended chords, and dominant sevenths use familiar symbols: 4 Δ 7 5 sus 5 7 1 would stand for F Δ 7 G sus G 7 C in the key of C, or E ♭ Δ 7 F sus F 7 B ♭ in ...
For unsymmetrical sets, the prime form is marked with "A" and the inversion with "B"; sets without either are symmetrical. Sets marked with a "Z" refer to a pair of different set classes with identical interval class content unrelated by inversion, with one of each pair listed at the end of the respective list when they occur.
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