In Classical music musical theory, a cadence () is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards.[Don Michael Randel (1999). The Harvard Concise Dictionary of Music and Musicians, pp. 105-106. .] A harmonic cadence is a progression of two or more chords that concludes a phrase, section, or piece of music. A rhythmic cadence is a characteristic pattern that indicates the end of a phrase. A cadence can be labeled "weak" or "strong" depending on the impression of finality it gives.
While cadences are usually classified by specific chord or melodic progressions, the use of such progressions does not necessarily constitute a cadence—there must be a sense of closure, as at the end of a phrase. Harmonic rhythm plays an important part in determining where a cadence occurs. The word "cadence" sometimes slightly shifts its meaning depending on the context; for example, it can be used to refer to the last few notes of a particular phrase, or to just the final chord of that phrase, or to types of chord progressions that are suitable for phrase endings in general.
Cadences are strong indicators of the tonic or central pitch of a passage or piece. The musicologist Edward Lowinsky proposed that the cadence was the "cradle of tonality".
Nomenclature across the world
+ Terms used for cadences |
|
authentic cadence | perfect cadence | cadencia auténtica | cadenza perfetta | cadence parfaite | Ganzschluss | V → I (dominant to tonic) |
half cadence | imperfect cadence | semicadencia | cadenza sospesa | demi-cadence | Halbschluss | I, II, IV or VI → V (tonic, supertonic, subdominant or submediant to dominant) |
plagal cadence | plagal cadence | cadencia plagal | cadenza plagale | cadence plagale | plagale Kadenz | IV → I (subdominant to tonic) |
deceptive cadence | interrupted cadence | cadencia rota | cadenza d'inganno | cadence rompue | Trugschluss | V → vi (dominant to submediant) |
Common classifications
Cadences are divided into four main types, according to their harmonic progression:
authentic (typically
perfect authentic or
imperfect authentic),
half,
plagal, and
deceptive. Typically, phrases end on authentic or half cadences, and the terms
plagal and
deceptive refer to motion that avoids or follows a phrase-ending cadence. Each cadence can be described using the Roman numeral system of naming chords.
Authentic cadence
An authentic cadence is a cadence from the dominant chord (V) to the root chord (I). During the dominant chord, a seventh above the dominant may be added to create a dominant seventh chord (V
7); the dominant chord may also be preceded by a cadential chord.
The Harvard Concise Dictionary of Music and Musicians says, "This cadence is a microcosm of the tonal system, and is the most direct means of establishing a pitch as tonic. It is virtually obligatory as the final structural cadence of a tonal work."
Authentic cadences are generally classified as either
perfect or
imperfect. The phrase
perfect cadence is sometimes used as a synonym for
authentic cadence but can also have a more precise meaning depending on the chord voicing.
Perfect authentic cadence
In a perfect authentic cadence (PAC), the chords are in
root position – that is, the roots of both chords are in the bass – and the tonic is in the highest voice of the final chord. This is generally considered the strongest type of cadence and often found at structurally defining moments.
[Thomas Benjamin, Johann Sebastian Bach (2003). The Craft of Tonal Counterpoint, p. 284. .] Music theorist
William Caplin writes that the perfect authentic cadence "achieves complete harmonic and melodic closure."
[William Caplin. (2000). Classical Form: A Theory of Formal Functions for the Instrumental Music of Haydn, Mozart, and Beethoven, p. 51. .]
Imperfect authentic cadence
There are three types of imperfect authentic cadences (IAC):
-
Root position IAC (shown below): Similar to a perfect authentic cadence, but the highest voice is not the tonic.
-
Inverted IAC: Similar to a perfect authentic cadence, but one or both chords are Inverted chord.
-
Leading-tone IAC: The penultimate (V) chord is replaced with a chord based on the leading-tone (viio chord).
Evaded cadence
An evaded cadence (a subtype of the inverted IAC) moves from a dominant seventh
third inversion chord (V) to a
first inversion tonic chord (I).
[Darcy and Hepokoski (2006). Elements of Sonata Theory: Norms, Types, and Deformations in the Late-Eighteenth-Century Sonata, p.. . "the unexpected motion of a cadential dominant chord to a I6 (instead of the typically cadential I)"] Because the seventh of the dominant chord must fall stepwise to the third of the tonic chord, it forces the cadence to resolve to the less stable first inversion chord. To achieve this, a root position V usually changes to a V right before resolution, thereby "evading" the root-position I chord that would usually follow a root-position V. (See also inverted cadence below.)
Half cadence
A half cadence (also called an
imperfect cadence or
semicadence) is any cadence ending on V, whether preceded by II (V of V), ii, vi, IV, or I—or any other chord. Because it sounds incomplete or suspended, the half cadence is considered a weak cadence that calls for continuation.
[Oswald Jonas (1982). Introduction to the Theory of Heinrich Schenker (1934: Das Wesen des musikalischen Kunstwerks: Eine Einführung in Die Lehre Heinrich Schenkers), p. 24. Trans. John Rothgeb. .]
Several types of half cadences are described below.
Phrygian half cadence
A Phrygian half cadence is a half cadence iv
6–V in minor, so named because the semitonal motion in the bass (sixth degree to fifth degree) resembles the half-step heard in the ii–I of the 15th-century cadence in the
Phrygian mode. Due to its being a survival from modal Renaissance harmony this cadence gives an archaic sound, especially when preceded by v (v–iv
6–V).
[Finn Egeland Hansen (2006). Layers of Musical Meaning, p. 208. .] A characteristic gesture in
Baroque music, the Phrygian cadence often concluded a slow movement immediately followed ("attacca") by a faster one.
[Randel, Don Michael (2003). The Harvard Dictionary of Music, p. 130. .]
Lydian cadence
A
Lydian cadence is similar to the Phrygian half cadence, involving iv
6–V in the minor. The difference is that in the Lydian cadence, the whole iv
6 is raised by a
half step. In other words, the Phrygian half cadence begins with the first chord built on scale degree , while the Lydian half cadence is built on the scale degree .
Burgundian cadences
Burgundian cadences became popular in Burgundian music. Note the parallel fourths between the upper voices.
Plagal half cadence
The rare plagal half cadence involves a I–IV progression. Like an authentic cadence (V–I), the plagal half cadence involves an ascending fourth (or, by
Inverted chord, a descending fifth).
The plagal half cadence is a weak cadence, ordinarily at the ending of an antecedent phrase, after which a consequent phrase commences. One example of this use is in "Auld Lang Syne". But in one very unusual occurrence – the end of the exposition of the first movement of
Johannes Brahms' Clarinet Trio, Op. 114—it is used to complete not just a musical phrase but an entire section of a movement.
Plagal cadence
A plagal cadence is a cadence from IV to I. It is also known as the
Amen cadence because of its frequent setting to the text "Amen" in
hymns.
William Caplin disputes the existence of plagal cadences in music of the classical era although they begin to appear in the nineteenth century:
The plagal cadence may be interpreted as I–V if the IV–I cadence is perceived as a modulation in which the IV chord becomes the I chord of the new tonic key and the I chord of the previous key is now a dominant chord in the modulated key. (Cf. §Half cadence above and Secondary dominant.)
Minor plagal cadence
A minor plagal cadence, also known as a perfect plagal cadence, uses the minor iv instead of a major IV. With a very similar voice leading to a perfect cadence, the minor plagal cadence is a strong resolution to the tonic.
Moravian cadence
The Moravian cadence, which can be found in the works of Leoš Janáček and Bohuslav Martinů amongst others, is a form of plagal cadence in which the outer notes of the first chord each move inwards by a tone to the second. (IV
add6 → I
6).
[Crane-Waleczek (2011), p. 18 ] An early suggestion of the Moravian cadence in classical music occurs in Antonín Dvořák’s
New World Symphony.
Deceptive cadence
Also known as an interrupted or false cadence, the deceptive cadence is a cadence from V to any chord other than the tonic (I), usually the submediant (VI). This is the most important irregular resolution,
[Arthur Foote (2007). Modern Harmony in its Theory and Practice, p. 93. .] most commonly V
7–vi (or V
7–VI) in major or V
7–VI in minor.
[Owen, Harold (2000). Music Theory Resource Book, p. 132. .] This is considered a weak cadence because of the "hanging" (suspended) feeling it invokes.
At the beginning of the final movement of Gustav Mahler's 9th Symphony, the listener hears a string of many deceptive cadences progressing from V to IV6.
One of the most striking uses of this cadence is in the A-minor section at the end of the exposition in the first movement of Johannes Brahms' Third Symphony. The music progresses to an implied E minor dominant (B7) with a rapid chromatic scale upwards but suddenly sidesteps to C major. The same device is used again in the recapitulation; this time the sidestep is—as one would expect—to F major, the tonic key of the whole Symphony.
The interrupted cadence is also frequently used in popular music. For example, the Pink Floyd song "Bring the Boys Back Home" ends with such a cadence (at approximately 0:45–50).
Other classifications
Inverted cadence
An inverted cadence (also called a
medial cadence)
Inverted chord the last chord. It may be restricted only to the perfect and imperfect cadence, or only to the perfect cadence, or it may apply to cadences of all types.
[Kennedy, Michael, ed. (2004). The Concise Oxford Dictionary of Music, p. 116. .] To distinguish them from this form, the other, more common forms of cadences listed above are known as
radical cadences.
["Medial cadence inverted". Grove Music Online. Oxford Music Online. ]
Rhythmic classifications
Cadences can also be classified by their rhythmic position:
-
A metrically accented cadence has its final note in a metrically strong position, typically the downbeat of a measure.
-
A metrically unaccented cadence has its final note in a metrically weak position, for instance, after a long appoggiatura.
Metrically accented cadences are considered stronger and are generally of greater structural significance. In the past, the terms masculine and feminine were sometimes used to describe rhythmically "strong" or "weak" cadences, but these terms have not been generally used since at least the mid-1980s. Susan McClary has written extensively on the gendered terminology of music and music theory in her book Feminine Endings.
The example below shows a metrically unaccented cadence (IV–V–I). The final chord is postponed to fall on a weak beat.[Willi Apel (1970). Harvard Dictionary of Music. cited in .]
Picardy third
A
Picardy third (or Picardy cadence) is a harmonic device that originated in Western music in the Renaissance era. It refers to the use of a major chord of the tonic at the end of a musical section that is either modal or in a minor key. The example below shows a picardy third in the final chord, from J.S. Bach's
Jesu, meine Freude (Jesus, My Joy), mm. 12–13.
Upper leading-tone cadence
This example from a well-known 16th-century lamentation shows a cadence that appears to imply the use of an upper leading-tone, a debate over which was documented in Rome c. 1540.
[Berger, Karol (1987). Musica Ficta: Theories of Accidental Inflections in Vocal Polyphony from Marchetto da Padova to Gioseffo Zarlino, p. 148. Cambridge and New York: Cambridge University Press. .] The final three written notes in the upper voice are printed B–C–D, in which case the customary trill on the second to last note should be played using D and C. However, convention implied that the written C should be played as a C in this context, and a
cadential trill of a
whole tone on the second to last note would then require a D/E, the upper leading-tone of D. Presumably, the debate was over whether to use D–C or D–C for the trill.
In medieval and Renaissance polyphony
Medieval music and Renaissance cadences are based upon dyads rather than chords. The first theoretical mention of cadences comes from Guido of Arezzo's description of the
occursus in his
Micrologus, where he uses the term to mean where the two lines of a two-part
polyphony phrase end in a
unison.
Clausula vera
A clausula or clausula vera ("true close") is a dyadic or intervallic, rather than chordal or
harmony, cadence. In a clausula vera, two voices approach an
octave or
unison through stepwise motion
in contrary motion.
In three voices, the third voice often adds a falling fifth creating a cadence similar to the authentic cadence in tonal music.
According to Carl Dahlhaus, "as late as the 13th century the half step was experienced as a problematic interval not easily understood, as the remainder between the perfect fourth and the ditone:
In a melodic half step, listeners of the time perceived no tendency of the lower tone toward the upper, or the upper toward the lower. The second tone was not the 'goal' of the first. Instead, musicians avoided the half step in clausulas because, to their ears, it lacked clarity as an interval. Beginning in the 13th century, cadences begin to require motion in one voice by half step and the other a
whole step in contrary motion.
Plagal cadence
A plagal cadence was found occasionally as an interior cadence, with the lower voice in two-part writing moving up a perfect fifth or down a perfect fourth.
Rest
A rest in one voice may also be used as a weak interior cadence.
The example below, Lassus's
Qui vult venire post me, mm. 3–5, shows a rest in the third measure.
Evaded cadence
In
counterpoint, an evaded cadence is one where one of the voices in a suspension does not resolve as expected, and the voices together resolve to a consonance other than an octave or unison
[Schubert, Peter (1999). Modal Counterpoint, Renaissance Style, p. 132. .] (a perfect fifth, a sixth, or a third).
Corelli cadence
The
Corelli cadence, or Corelli clash, named for its association with the
violin music of the
Corelli school, is a cadence characterized by a
Major second and/or
minor second clash between the tonic and the
leading-tone or the tonic and
supertonic. An example is shown below.
English cadence
Another "clash cadence", the
English cadence, is a
contrapuntal pattern particular to the authentic or perfect cadence. It features the
Blue note against the
dominant chord,
[van der Merwe, Peter (2005). Roots of the Classical: The Popular Origins of Western Music, p. 492. .] which in the key of C would be
B and G–
B–D. Popular with English composers of the
High Renaissance and Restoration periods in the 16th and 17th centuries, the English cadence is described as sounding archaic
[Carver, Anthony (1988). The Development of Sacred Polychoral Music to the Time of Schütz, p. 136. . If the clash cadence is already "archaic, and/or mannered" in the music of Heinrich Schütz (1585-1672) it must surely be so now.] or old-fashioned.
[Herissone, Rebecca (2001). Music Theory in Seventeenth-Century England, p. 170. .] It was first given its name in the 20th century.
The hallmark of this device is the dissonant augmented octave (compound augmented unison) produced by a false relation between the split seventh scale degree, as shown below in an excerpt from O sacrum convivium by Thomas Tallis. The courtesy accidental on the tenor's G is editorial.
Landini cadence
A
Landini cadence (also known as a
Landini sixth,
Landini sixth cadence, or
under-third cadence[van der Merwe, Peter (2005). Roots of the Classical: The Popular Origins of Western Music, p. 501. .]) is a cadence that was used extensively in the 14th and early 15th century. It is named after Francesco Landini, a composer who used them profusely. Similar to a clausula vera, it includes an
Nonchord tone in the upper voice, which briefly narrows the interval to a
perfect fifth before the octave.
Common practice period
The classical and romantic periods of musical history provide many examples of the way the different cadences are used in context.
Authentic cadences and half cadences
Mozart’s Romanze from his Piano Concerto No. 20 follows a familiar pattern of a pair of phrases, one ending with a half (imperfect) cadence and the other with an authentic cadence:, Romanze from Piano Concerto 20]] presto movement from Beethoven’s String Quartet, Op 130 follows the same pattern, but in a minor key:, Presto from String Quartet Op. 130]]
Plagal cadences
The Hallelujah Chorus from
Handel’s
Messiah culminates powerfully with an iterated plagal cadence:,
Messiah, Hallelujah Chorus, closing bars]]
Debussy’s piano prelude
La fille aux cheveux de lin contains a plagal cadence in its 2nd and 3rd bars :,
La fille aux cheveux de lin, bars 1–4]] One of the most famous endings in all music is found in the concluding bars of
Wagner’s opera
Tristan und Isolde, where the
Tristan chord in the opening phrase of the opera is finally resolved "three enormous acts and five hours later"
[Small, C. (1977, p. 15), Music-Society-Education. London, John Calder.] in the form of a minor plagal cadence:,
Tristan und Isolde,
Liebestod closing bars]]
Deceptive cadences
In J.S. Bach's harmonization of the
chorale "
Wachet auf", a phrase ending in a deceptive cadence repeats with the cadence changed to an authentic one: exposition of the first movement of Beethoven’s Piano Sonata No. 21, Op. 53 (
Waldstein) features a minor-key passage where an authentic (perfect) cadence precedes a deceptive (interrupted) one:
Debussy's piano prelude
La fille aux cheveux de lin (see also above) concludes with a passage featuring a deceptive (interrupted) cadence that progresses, not from V–VI, but from V–IV:
Some varieties of deceptive cadence that go beyond the usual V–VI pattern lead to some startling effects. For example, a particularly dramatic and abrupt deceptive cadence occurs in the second Presto movement of Beethoven’s Piano Sonata No. 30, Op. 109, bars 97–112, "a striking passage that used to pre-occupy theorists".
[Charles Rosen. (2002, p. 232) Beethoven's Piano Sonatas: a Short Companion. Yale University Press.] The music at this point is in B minor, and carries the expectation is that the chord of F sharp (Chord V) will be followed by the tonic chord of B. However, "Dynamics become softer and softer; dominant and tonic chords of B minor appear isolated on the first beat of a bar, separated by silences: until in sudden fortissimo ... the recapitulation bursts on us in the tonic E minor, the B minor dominants left unresolved."
[Wilfrid Mellers (1983, p. 210), Beethoven and the Voice of God. London, Faber.]
An equally startling example occurs in J.S. Bach's Toccata and Fugue in F major, BWV 540:
According to
Richard Taruskin, in this Toccata, "the already much-delayed resolution is thwarted (m204) by what was the most spectacular 'deceptive cadence' anyone had composed as of the second decade of the eighteenth century ... producing an especially pungent effect."
[Richard Taruskin (2005, p. 213), The Oxford History of Western Music, vol. 2, "Music of the Seventeenth and Eighteenth Centuries". Oxford University Press.] Hermann Keller describes the effect of this cadence as follows: "the splendour of the end with the famous
third inversion of the seventh chord, who would not be enthralled by that?"
[ and Iris Winkler (translated by Regina Piskorsch-Feick), 2001, from liner notes p. 4 for recording by Franz Hauk, Johann Sebastian Bach Organ Masterworks, Guild Music GMCD 7217]
Chopin's Fantaisie, Op. 49, composed over a century later in 1841, features a similar harmonic jolt:
A deceptive cadence is a useful means for extending a musical narrative. In the closing passage of J.S. Bach’s Prelude in F minor from Book II of The Well-Tempered Clavier, the opening theme returns and seems headed towards a possible final resolution on an authentic (perfect) cadence. What the listener may expect is:
Instead, at bar 60, Bach inserts a deceptive cadence (V–VI in F minor), leading to a lengthy digression of some dozen bars before reaching resolution on the final (V–I) cadence.
A similar passage occurs at the conclusion of Mozart's Fantasia in D minor, K. 397:
Jazz
Cadences in
jazz are usually simply called cadences, as in common practice harmony. However, a certain category of cadence is referred to as a
turnaround (originally called a "turnback" which is more accurate); this is when a cadence functions as a return to an already existing part of a song form such as AABA. In an AABA form, there are two turnbacks: at the end of the first A (A1) in order to repeat it (A2), and at the end of the B section in order to play the A a third time (A3). (The transition from the second A to the B is not a turnback, because the B section is being heard for the first time.)
Half-step cadences are common in jazz if not cliché.[Norman Carey (Spring, 2002). Untitled review: " Harmonic Experience by W. A. Mathieu", p. 125. Music Theory Spectrum, vol. 24, no. 1, pp. 121–134.] For example, the ascending diminished seventh chord half-step cadence, which—using a secondary diminished seventh chord—creates momentum between two chords a major second apart (with the diminished seventh in between).[Richard Lawn, Jeffrey L. Hellmer (1996). Jazz: Theory and Practice, pp. 97-98. .]
The descending diminished seventh chord half-step cadence is assisted by two common tones.
Rhythmic cadence
Cadences often include (and may be emphasized or signalled by) a change in the prevailing rhythmic pattern; in such cases the final note of the cadence usually takes more time (a longer note value, or followed by a rest, or both), and within a piece of music the cadences may also share a rhythmic pattern that is characteristic of the cadences in that piece. This method of ending a phrase with some distinctive rhythmic pattern has been called a "rhythmic cadence"; rhythmic cadences continue to function without harmony or melody, for example at the ends of phrases in music for drums. Some styles of music rely on frequent regular rhythmic cadences as a unifying feature of that style.
The example below shows a characteristic rhythmic cadence (i.e. many of the cadences in this piece share this rhythmic pattern) at the end of the first phrase (in particular the last two notes and the following rest, contrasted with the regular pattern set up by all the notes before them) of J.S. Bach's
Brandenburg Concerto No. 3 in G major, BMV 1048, mvmt. I, mm. 1–2:
See also
Sources