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Seventh chords are made up of a triad and an added seventh:

The quality of the seventh chord is determined by the
quality of the triad and the quality of the seventh:

If both the triad and the seventh have the same quality,
the name of the quality will be the name of the seventh chord. There
are only two seventh chords where the triad and seventh do not have
the same quality: the Dominant 7th and half-diminished 7th.
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Triad
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Major
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minor
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Major
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diminished
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diminished
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Seventh
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Major
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minor
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minor
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diminished
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minor
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Chord Name
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Major 7th
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minor 7th
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Dominant 7th
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diminished 7th
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half-diminished 7th
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Abbreviation
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Maj. 7
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min. 7
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Dom.7
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dim.7
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half-dim.7
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Symbol
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To construct a seventh chord, just construct the triad
and then add the appropriate seventh!
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