In music, a triad is a set of three notes (or "pitches") that can be stacked vertically in thirds. The term "harmonic triad" was coined by Johannes Lippius in his "Synopsis musicae novae" (1612). When stacked in thirds, notes produce triadic chords. The triad's members, from lowest-pitched tone to highest, are called: \n* the root \n* the third – its interval above the root being a minor third (three semitones) or a major third (four semitones) \n* the fifth – its interval above the third being a minor third or a major third, hence its interval above the root being a diminished fifth (six semitones), perfect fifth (seven semitones), or augmented fifth (eight semitones). Perfect fifths are the most commonly used interval above the root in Classical music and Western popular music and traditional music. (Note: The notes of a triad do not have to use the root as the lowest note of the chord, due to the principle of inversion. A triad can also use the third or fifth as the lowest note of the chord. Inverting a chord does not change the root note.) Some twentieth-century theorists, notably Howard Hanson and Carlton Gamer, expand the term to refer to any combination of three different pitches, regardless of the intervals amongst them. The word used by other theorists for this more general concept is "trichord". Others, notably Allen Forte, use the term to refer to combinations apparently stacked of other intervals, as in "quartal triad". In the late Renaissance music era, and especially during the Baroque music era (1600-1750), Western art music shifted from more "horizontal" contrapuntal approach (in which multiple, independent melody lines were interwoven) toward chord progressions, which were sequences of chords. The chord progression approach, which was the foundation of Baroque-era basso continuo accompaniment, required a more "vertical" approach, thus relying more heavily on the triad as the basic building block of functional harmony. The root tone of a triad, together with the degree of the scale to which it corresponds, primarily determine a given triad's function. Secondarily, a triad's function is determined by its quality: major, minor, diminished or augmented. Major and minor chords are the most commonly used chord qualities in Classical music, popular music and traditional music. In standard tonal music, only major and minor chords can be used as a tonic in a song or piece of music. That is, a song or instrumental piece can be in the key of C Major or A minor, but a song or piece cannot be in the key of B diminished or F augmented (although songs or pieces might include these chords within the chord progression. Three of these four kinds of triads are found in the major (or diatonic) scale. When we consider musical works we find that the triad is ever-present and that the interpolated dissonances have no other purpose than to effect the continuous variation of the triad.— Lorenz Mizler (1739),

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