Picardy third

A Picardy third, (; French: tierce picarde) also known as a Picardy cadence or Tierce de Picardie, is a major chord of the tonic at the end of a musical section that is either modal or in a minor key. This is achieved by raising the third of the expected minor triad by a semitone to create a major triad, as a form of resolution. For example, instead of a cadence ending on an A minor chord containing the notes A, C, and E, a Picardy third ending would consist of an A major chord containing the notes A, C♯, and E. The minor third between the A and C of the A minor chord has become a major third in the Picardy third chord.

Philosopher Peter Kivy writes:Even in instrumental music, the picardy third retains its expressive quality: it is the "happy third". ... Since at least the beginning of the seventeenth century, it is no longer enough to describe it as a resolution to the more consonant triad; it is a resolution to the happier triad as well. ... The picardy third is absolute music's happy ending. Furthermore, I hypothesize that in gaining this expressive property of happiness or contentment, the picardy third augmented its power as the perfect, most stable cadential chord, being both the most emotionally consonant chord, so to speak, as well as the most musically consonant. According to Deryck Cooke, "Western composers, expressing the 'rightness' of happiness by means of a major third, expressed the 'wrongness' of grief by means of the minor third, and for centuries, pieces in a minor key had to have a 'happy ending' – a final major chord (the 'tierce de Picardie') or a bare fifth." As a harmonic device, the Picardy third originated in Western music in the Renaissance era.

Illustration

What makes this a Picardy cadence is shown by the red natural sign. Instead of the expected B-flat (which would make the chord minor) the accidental gives us a B natural, making the chord major. Listen to the final four measures of "I Heard the Voice of Jesus Say" with () and without () Picardy third (harmony by Ralph Vaughan Williams).

History

Name The term was first used in 1768 by Jean-Jacques Rousseau, although the practice was used in music centuries earlier. Rousseau argues that the practice "remained longer in Church Music, and, consequently, in Picardy, where there is music in a lot of cathedrals and churches", and "the term is used jokingly by musicians", suggesting it might have never had an academic basis, a tangible origin, and might have sprung out of idiomatic jokes in France in the first half of the 18th century. Robert Hall hypothesizes that, instead of deriving from the Picardy region of France, it comes from the Old French word "picart", meaning "pointed" or "sharp" in northern dialects, and thus refers to the musical sharp that transforms the minor third of the chord into a major third. The few Old French dictionaries in which the word picart (fem. picarde) appears give "aigu, piquant" as a definition. While piquant is quite straightforward—meaning spiky, pointy, sharp—aigu is much more ambiguous, because it has the inconvenience of having at least three meanings: "high-pitched/treble", "sharp" as in a sharp blade, and "acute". Considering the definitions also state the term can refer to a nail ("clou") (read masonry nail), a pike or a spit, it seems aigu might be there used to mean "pointy" / "sharp". However, not "sharp" in the desired sense, the one relating to a raised pitch, but in the sense of a sharp blade, which would thus completely discredit the word picart as the origin for the Picardy third, which also seems unlikely considering the possibility that aigu was also used to refer to a high(er)-pitched note, and a treble sound, thus perfectly explaining the use of the word picarde to designate a chord whose third is higher than it should be. Not to be ignored is the existence of the proverb "ressembler le Picard" ("to resemble an inhabitant of Picard") which meant "éviter le danger" (to avoid danger). This would link back to the humorous character of the term, that would have thus been used to mock supposedly cowardly composers who used the Picardy third as a way to avoid the gravity of the minor third, and perhaps the backlash they would have faced from the academic elite and the Church by going against the time’s scholasticism. Ultimately, the origin of the name "tierce picarde" will likely never be known for sure, but what evidence there is seems to point towards these idiomatic jokes and proverbs as well as the literal meaning of picarde as high-pitched and treble.

Use In medieval music, such as that of Machaut, neither major nor minor thirds were considered stable intervals, and so cadences were typically on open fifths. As a harmonic device, the Picardy third originated in Western music in the Renaissance era. By the early seventeenth century, its use had become established in practice in music that was both sacred (as in the Schütz example above) and secular:

Examples of the Picardy third can be found throughout the works of J. S. Bach and his contemporaries, as well as earlier composers such as Thoinot Arbeau and John Blow. Many of Bach's minor key chorales end with a cadence featuring a final chord in the major:

In his book Music and Sentiment, Charles Rosen shows how Bach makes use of the fluctuations between minor and major to convey feeling in his music. Rosen singles out the Allemande from the keyboard Partita No. 1 in B-flat, BWV 825, to exemplify "the range of expression then possible, the subtle variety of inflections of sentiment contained with a well-defined framework". The following passage from the first half of the piece starts in F major, but then, in bar 15, "Turning to the minor mode with a chromatic bass and then back to the major for the cadence adds still new intensity."

Many passages in Bach's religious works follow a similar expressive trajectory involving major and minor keys that may sometimes take on a symbolic significance. For example, David Humphreys (1983, p. 23) sees the "languishing chromatic inflections, syncopations and appoggiaturas" of the following episode from the St Anne Prelude for organ, BWV 552 from Clavier-Übung III as "showing Christ in his human aspect. Moreover the poignant angularity of the melody, and in particular the sudden turn to the minor, are obvious expressions of pathos, introduced as a portrayal of his Passion and crucifixion":

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