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In
music Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspe ...
, a triad is a set of three notes (or " pitch classes") that can be stacked vertically in thirds.Ronald Pen, ''Introduction to Music'' (New York: McGraw-Hill, 1992): 81. . "A triad is a set of notes consisting of three notes built on successive intervals of a third. A triad can be constructed upon any note by adding alternating notes drawn from the scale.... In each case the note that forms the foundation pitch is called the ''root'', the middle tone of the triad is designated the ''third'' (because it is separated by the interval of a third from the root), and the top tone is referred to as the ''fifth'' (because it is a fifth away from the root)." Triads are the most common chords in Western music. When stacked in thirds, notes produce triads. The triad's members, from lowest-pitched tone to highest, are called: * the root **Note:
Inversion Inversion or inversions may refer to: Arts * , a French gay magazine (1924/1925) * ''Inversion'' (artwork), a 2005 temporary sculpture in Houston, Texas * Inversion (music), a term with various meanings in music theory and musical set theory * ...
does not change the root. (The third or fifth can be the lowest note.) * the third – its interval above the root being a minor third (three semitones) or a major third (four semitones) * 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 Diminished may refer to: *Diminution In Western music and music theory, diminution (from Medieval Latin ''diminutio'', alteration of Latin ''deminutio'', decrease) has four distinct meanings. Diminution may be a form of embellishment in whic ...
(six semitones), perfect fifth (seven semitones), or augmented fifth (eight semitones). Perfect fifths are the most commonly used interval above the root in Western classical, popular and
traditional music Folk music is a music genre that includes traditional folk music and the contemporary genre that evolved from the former during the 20th-century folk revival. Some types of folk music may be called world music. Traditional folk music has ...
. Some 20th-century theorists, notably Howard Hanson and Carlton Gamer, expand the term to refer to any combination of three different pitches, regardless of the intervals. The word used by other theorists for this more general concept is " trichord". Others use the term to refer to combinations apparently stacked by other intervals, as in " quartal triad"; a combination stacked in thirds is then called a " tertian triad". The root of a triad, together with the degree of the scale to which it corresponds, primarily determine its function. Secondarily, a triad's function is determined by its quality:
major Major ( commandant in certain jurisdictions) is a military rank of commissioned officer status, with corresponding ranks existing in many military forces throughout the world. When used unhyphenated and in conjunction with no other indicato ...
, minor, diminished or augmented. Major and minor triads are the most commonly used triad qualities in Western classical, popular and
traditional music Folk music is a music genre that includes traditional folk music and the contemporary genre that evolved from the former during the 20th-century folk revival. Some types of folk music may be called world music. Traditional folk music has ...
. In standard tonal music, only major and minor triads can be used as a tonic in a song or some other piece of music. That is, a song or other vocal or instrumental piece can be in the key of C major or A minor, but a song or some other piece cannot be in the key of B diminished or F augmented (although songs or other pieces might include these triads within the triad progression, typically in a temporary, passing role). Three of these four kinds of triads are found in the major (or diatonic) scale. In popular music and 18th-century classical music, major and minor triads are considered
consonant In articulatory phonetics, a consonant is a speech sound that is articulated with complete or partial closure of the vocal tract. Examples are and pronounced with the lips; and pronounced with the front of the tongue; and pronounced w ...
and stable, and diminished and augmented triads are considered dissonant and unstable.


History

In the late Renaissance music era, and especially during the
Baroque music Baroque music ( or ) refers to the period or dominant style of Western classical music composed from about 1600 to 1750. The Baroque style followed the Renaissance period, and was followed in turn by the Classical period after a short transit ...
era (1600–1750), Western art music shifted from a more "horizontal"
contrapuntal In music, counterpoint is the relationship between two or more musical lines (or voices) which are harmonically interdependent yet independent in rhythm and melodic contour. It has been most commonly identified in the European classical tradi ...
approach (in which multiple, independent melody lines were interwoven) toward progressions, which are sequences of triads. The progression approach, which was the foundation of the Baroque-era
basso continuo Basso continuo parts, almost universal in the Baroque era (1600–1750), provided the harmonic structure of the music by supplying a bassline and a chord progression. The phrase is often shortened to continuo, and the instrumentalists playing the ...
accompaniment, required a more "vertical" approach, thus relying more heavily on the triad as the basic building block of functional harmony. The primacy of the triad in Western music was first theorized by
Gioseffo Zarlino Gioseffo Zarlino (31 January or 22 March 1517 – 4 February 1590) was an Italian music theorist and composer of the Renaissance. He made a large contribution to the theory of counterpoint as well as to musical tuning. Life and career Zarlin ...
(1500s), and the term "harmonic triad" was coined by Johannes Lippius in his ''Synopsis musicae novae'' (1612).


Construction

Triads (or any other tertian chords) are built by superimposing ''every other'' note of a
diatonic scale In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole st ...
(e.g., standard major or minor scale). For example, a C major triad uses the notes C–E–G. This spells a triad by ''skipping over'' D and F. While the interval from each note to the one above it is a third, the quality of those thirds varies depending on the quality of the triad: * ''major'' triads contain a major third and perfect fifth interval, symbolized: R 3 5 (or 0–4–7 as semitones) * ''minor'' triads contain a minor third, and perfect fifth, symbolized: R 3 5 (or 0–3–7) * ''diminished'' triads contain a minor third, and diminished fifth, symbolized: R 3 5 (or 0–3–6) * ''augmented'' triads contain a major third, and augmented fifth, symbolized: R 3 5 (or 0–4–8) The above definitions spell out the interval of each note above the root. Since triads are constructed of stacked thirds, they can be alternatively defined as follows: * ''major'' triads contain a major third with a minor third stacked above it, e.g., in the major triad C–E–G (C major), the interval C–E is major third and E–G is a minor third. * ''minor'' triads contain a minor third with a major third stacked above it, e.g., in the minor triad A–C–E (A minor), A–C is a minor third and C–E is a major third. * ''diminished'' triads contain two minor thirds stacked, e.g., B–D–F (B diminished) * ''augmented'' triads contain two major thirds stacked, e.g., D–F–A (D augmented). Triads appear in close or open positions. "When the three upper voices are as close together as possible, the spacing is described as close position or close harmony. ..The other arrangements ..are called open position or open harmony."W. Apel, ''Harvard Dictionary of Music'' (Cambridge, Mass., Harvard University Press, 1950): 704, ''s.v.'' Spacing.


Function

Each triad found in a diatonic (single-scale-based) key corresponds to a particular
diatonic function In music, function (also referred to as harmonic function) is a term used to denote the relationship of a chord"Function", unsigned article, ''Grove Music Online'', . or a scale degree to a tonal centre. Two main theories of tonal functions exi ...
. Functional harmony tends to rely heavily on the primary triads: triads built on the tonic, subdominant, and dominant degrees.Daniel Harrison, ''Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of its Precedents'' (Chicago: University of Chicago Press, 1994): 45. . Cited on p. 274 of Deborah Rifkin, "A Theory of Motives for Prokofiev's Music", ''Music Theory Spectrum'' 26, no. 2 (2004): 265–289. The roots of these triads are the first, fourth, and fifth degrees (respectively) of the diatonic scale, and the triads are accordingly symbolized I, IV, and V. Primary triads "express function clearly and unambiguously." The other triads in diatonic keys include the supertonic, mediant, submediant, and subtonic, whose roots are the second, third, sixth, and seventh degrees (respectively) of the diatonic scale, symbolized ii, iii, vi, and vii. They function as auxiliary or supportive triads to the primary triads.


See also

*
Upper structure triad In jazz, the term upper structure or "upper structure triad" refers to a voicing (music), voicing approach developed by jazz pianists and arrangement, arrangers defined by the sounding of a major or minor triad (music), triad in the uppermost pitche ...


References

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