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Counterpoint



 
 
In music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
, counterpoint is the relationship between two or more voices
Register (music)

In music, a register is the relative "height" or Range of a note, Musical set theory of Pitch es or pitch classes, melody, part, Musical instrument or group of instruments....
 that are independent in contour and rhythm
Rhythm

Rhythm is the variation of the length and accentuation of a series of sounds or other events....
, and interdependent in harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
. It has been most commonly identified in Western music
Western music

Western music is the genres of music originating in the Western world including European classical music, American Jazz, Country and Western, pop music and rock and roll....
, developing strongly in the Renaissance
Renaissance music

Renaissance music is European music written during the Renaissance, approximately 1400 - 1600. Dates of classical music eras, given the lack of abrupt shifts in musical thinking during the 15th century....
, and also dominant in much of the common practice period
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
, especially in Baroque music
Baroque music

Baroque music describes a period or style of European classical music approximately extending from Dates of classical music eras. This era is said to begin in music after the Renaissance music and was followed by the Classical music era....
. The term comes from the Latin
Latin

Latin is an Italic language, historically spoken in Latium and Ancient Rome. Through the Military history of the Roman Empire, Latin spread throughout the Mediterranean and a large part of Europe....
 punctus contra punctum ("point against point").

ts most general aspect, counterpoint involves the writing of musical lines which sound very different from each other, but sound harmonious when played together.






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Encyclopedia


In music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
, counterpoint is the relationship between two or more voices
Register (music)

In music, a register is the relative "height" or Range of a note, Musical set theory of Pitch es or pitch classes, melody, part, Musical instrument or group of instruments....
 that are independent in contour and rhythm
Rhythm

Rhythm is the variation of the length and accentuation of a series of sounds or other events....
, and interdependent in harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
. It has been most commonly identified in Western music
Western music

Western music is the genres of music originating in the Western world including European classical music, American Jazz, Country and Western, pop music and rock and roll....
, developing strongly in the Renaissance
Renaissance music

Renaissance music is European music written during the Renaissance, approximately 1400 - 1600. Dates of classical music eras, given the lack of abrupt shifts in musical thinking during the 15th century....
, and also dominant in much of the common practice period
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
, especially in Baroque music
Baroque music

Baroque music describes a period or style of European classical music approximately extending from Dates of classical music eras. This era is said to begin in music after the Renaissance music and was followed by the Classical music era....
. The term comes from the Latin
Latin

Latin is an Italic language, historically spoken in Latium and Ancient Rome. Through the Military history of the Roman Empire, Latin spread throughout the Mediterranean and a large part of Europe....
 punctus contra punctum ("point against point").

General principles

In its most general aspect, counterpoint involves the writing of musical lines which sound very different from each other, but sound harmonious when played together. In each era, writing of music organized contrapuntally has been subject to rules, sometimes strict. By definition, chords
Chord (music)

In music and music theory a chord is a set of two or more different note that sound simultaneously. Most often, in European-influenced music, chords are tertian Sonority that can be constructed as stacks of thirds relative to some underlying musical scale....
 occur when multiple notes sound simultaneously; however, chordal, harmonic, "vertical" features are considered secondary and almost incidental when counterpoint is the predominant textural element. Counterpoint focuses on melodic interaction, and only secondarily on the harmonies produced by that interaction. In the words of John Rahn:

The separation of harmony and counterpoint is not absolute. It is impossible to write simultaneous lines without producing harmony, and impossible to write harmony without linear activity. The composer who chooses to ignore one aspect in favour of the other still must face the fact that the listener cannot simply turn off harmonic or linear hearing at will; thus the composer risks creating annoying distractions unintendedly. Bach
Johann Sebastian Bach

Johann Sebastian Bach was a German composer and organ whose sacred and secular works for choir, orchestra, and solo instruments drew together the strands of the Baroque music period and brought it to its ultimate maturity....
's counterpoint—often considered the most profound synthesis of the two dimensions ever achieved—is extremely rich harmonically and always clearly directed tonally, while the individual lines remain fascinating.

Development

Counterpoint was elaborated extensively in the Renaissance
Renaissance music

Renaissance music is European music written during the Renaissance, approximately 1400 - 1600. Dates of classical music eras, given the lack of abrupt shifts in musical thinking during the 15th century....
 period, but composers of the Baroque
Baroque music

Baroque music describes a period or style of European classical music approximately extending from Dates of classical music eras. This era is said to begin in music after the Renaissance music and was followed by the Classical music era....
 period brought counterpoint to a kind of culmination, and it may be said that, broadly speaking, harmony
Harmony

In Western music, harmony is the use of different pitches simultaneously, and chord s, actual or implied, in music. The word is related to the word "harmonic" which implies related wavelengths of waves....
 then took over as the predominant organizing principle in musical composition. The Baroque composer Johann Sebastian Bach
Johann Sebastian Bach

Johann Sebastian Bach was a German composer and organ whose sacred and secular works for choir, orchestra, and solo instruments drew together the strands of the Baroque music period and brought it to its ultimate maturity....
 wrote most of his music incorporating counterpoint, and explicitly and systematically explored the full range of contrapuntal possibilities in such works as The Art of Fugue
The Art of Fugue

The Art of Fugue or The Art of the Fugue , BWV 1080, is an incomplete work by Johann Sebastian Bach . The work was probably started in the beginning of the 1740s, if not earlier....
.

Given the way terminology in music history has evolved, such music created from the Baroque
Baroque music

Baroque music describes a period or style of European classical music approximately extending from Dates of classical music eras. This era is said to begin in music after the Renaissance music and was followed by the Classical music era....
 period on is described as contrapuntal, while music from before Baroque times is called polyphonic
Polyphony

In music, polyphony is a texture consisting of two or more independent melodic voice , as opposed to music with just one voice or music with one dominant melodic voice accompanied by chord s ....
. Hence, the earlier composer Josquin des Prez
Josquin Des Prez

Josquin des Prez , often referred to simply as Josquin, was a Franco-Flemish School composer of the Renaissance music. He is also known as Josquin Desprez, a French rendering of Dutch language "Josken Van De Velde", diminutive of "Joseph Van De Velde" , and Latinized as Josquinus Pratensis, alternatively Jodocus Pratens...
 is said to have written polyphonic music.

Homophony
Homophony

In music, homophony Homophony as a term first appeared in English with Charles Burney in 1776, emphasizing the concord of harmonized melody....
, by contrast with polyphony, features music in which chords
Chord (music)

In music and music theory a chord is a set of two or more different note that sound simultaneously. Most often, in European-influenced music, chords are tertian Sonority that can be constructed as stacks of thirds relative to some underlying musical scale....
 or vertical intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 work with a single melody without much consideration of the melodic character of the added accompanying elements, or of their melodic interactions with the melody they accompany. As suggested above, most popular music written today is predominantly homophonic, its composition governed mainly by considerations of chord and harmony; but, while general tendencies can often be fairly strong one way or another, rather than describing a musical work in absolute terms as either polyphonic or homophonic, it is a question of degree.

The form or compositional genre known as fugue
Fugue

In music, a fugue is a type of counterpoint composition or technique of composition for a fixed number of melody, normally referred to as "voices"....
 is perhaps the most complex contrapuntal convention. Other examples include the round
Round (music)

A round is a musical composition in which two or more voices sing exactly the same melody , but with each voice beginning at different times so that different parts of the melody coincide in the different voices, but nevertheless fit harmoniously together....
 (familiar in folk traditions) and the canon
Canon (music)

In music, a canon is a counterpoint composition that employs a melody with one or more imitations of the melody played after a given duration . The initial melody is called the leader , while the imitative melody is called the follower which is played in a different voice....
.

In musical composition, contrapuntal techniques are important for enabling composers to generate musical ironies that serve not only to intrigue listeners into listening more intently to the spinning out of complexities found within the texture
Texture (music)

Texture is one of the basic elements of music. People use texture to describe the amount of rhythms played at a specific time. In music, texture also means the overall quality of sound of a piece , most often indicated by the number of melody in the music and by the relationship between these voices ....
 of a polyphonic composition, but also to draw them all the more into hearing the working out of these figures and interactions of musical dialogue. A melodic fragment, heard alone, makes a particular impression; but when the fragment is heard simultaneously with other melodic ideas, or combined in unexpected ways with itself (as in a canon or fugue), greater depths of affective meaning are revealed. Through development
Musical development

In European classical music, musical development is a process by which a musical idea is communicated in the course of a piece. It refers to the Transformation and Theme of initial material, and is often contrasted with musical Variation , which is a slightly different means to the same end....
 of a musical idea, the fragments undergo a working out into something musically greater than sum of the parts, something conceptually more profound than a single pleasing melody.

Species counterpoint


Species counterpoint is a type of so-called strict counterpoint, developed as a pedagogical (teaching) tool, in which a student progresses through several "species" of increasing complexity, always working a very plain given part in the cantus firmus
Cantus firmus

In music, a cantus firmus is a pre-existing melody forming the basis of a polyphony composition .The plural of this Latin term is , though one occasionally sees the corrupt form canti firmi....
 (Latin for "fixed melody"). The student gradually attains the ability to write free counterpoint (that is, less rigorously constrained counterpoint, usually without a cantus firmus) according to the rules at the given time. The idea is at least as old as 1532, when Giovanni Maria Lanfranco described a similar concept in his Scintille di musica (Brescia, 1533). The late 16th century Venetian
Venetian School

In music history, the Venetian School is a term used to describe the composers working in Venice from about 1550 to around 1610; it also describes the music they produced....
 theorist Zarlino elaborated on the idea in his influential Le institutioni harmoniche, and it was first presented in a codified form in 1619 by Lodovico Zacconi
Lodovico Zacconi

Lodovico or Ludovico Zacconi was an Italian-Austrian composer and musical theory of the late Renaissance music and early Baroque music eras....
 in his Prattica di musica. Zacconi, unlike later theorists, included a few extra contrapuntal techniques as species, for example invertible counterpoint
Inversion (music)

In music theory, the word inversion has several meanings. There are inverted chords, inverted melodies, inverted intervals, and inverted voices....
.

By far the most famous pedagogue to use the term, and the one who made it famous, was Johann Fux
Johann Fux

Johann Joseph Fux was an Austrian composer, music theory and pedagogue of the late Baroque music era. He is most famous as the author of Gradus ad Parnassum, a treatise on counterpoint, which has become the single most influential book on the Giovanni Pierluigi da Palestrina style of Renaissance music polyphony....
. In 1725 he published Gradus ad Parnassum (Steps to Parnassus), a work intended to help teach students how to compose, using counterpoint—specifically, the contrapuntal style as practised by Palestrina
Giovanni Pierluigi da Palestrina

Giovanni Pierluigi da Palestrina was an Italy composer of the Renaissance music. He was the most famous sixteenth-century representative of the Roman School of musical composition....
 in the late 16th century—as the principal technique. As the basis for his simplified and often over-restrictive codification of Palestrina's practice (see General notes, below), Fux described five species:

  1. Note against note;
  2. Two notes against one;
  3. Four (extended by others to include three, or six, etc.) notes against one;
  4. Notes offset against each other (as suspensions
    Nonchord tone

    A nonchord tone, nonharmonic tone, or non-harmony note is a Note in a piece of music which is not a part of the chord that is formed by the other notes sounding at the time....
    );
  5. All the first four species together, as "florid" counterpoint.


A succession of later theorists imitated Fux's seminal work quite closely, but often with some small and idiosyncratic modifications in the rules. A good example is Luigi Cherubini
Luigi Cherubini

Luigi Cherubini was an Italy-born composer who spent most of his working life in France. His most significant compositions are operas and sacred music....
.

Considerations for all species

Students of species counterpoint usually practice writing counterpoint in all the modes
Musical mode

Mode is a term from Western music theory having three senses: the rhythmic relationship between long and short values in the late medieval period; in early medieval theory, Interval ; and, most commonly, a concept involving Musical scale and melody type ....
 except Locrian
Locrian mode

The Locrian mode is a musical mode or diatonic scale. It may be considered a minor scale with the second and fifth scale degrees lowered a semi-tone....
 (that is, Ionian
Ionian mode

The Ionian mode is a musical mode of diatonic scale. It was part of the music theory of ancient Greece, and was based around the relative natural scale in C ....
, Dorian
Dorian mode

Due to historical confusion, Dorian mode or Doric mode can refer to two very different musical modes or diatonic scales....
, Phrygian
Phrygian mode

Modes are early forms of scales used in music. The Phrygian mode can refer to two different musical modes or diatonic scales: the ancient Greek Phrygian mode and the Medieval Phrygian mode....
, Lydian
Lydian mode

Due to historical confusion, Lydian mode can refer to two very different musical modes or diatonic scales....
, Mixolydian
Mixolydian mode

The Mixolydian mode is a musical mode or diatonic scale. It has the same series of Major second and Minor second as the major scale, except the fifth note is taken as the tonic or starting pitch of the scale ....
 and Aeolian
Aeolian mode

The Aeolian mode is a musical mode or diatonic scale.An Aeolian mode formed part of the music theory of ancient Greece, based around the relative natural scale in A ....
). The following rules apply to melodic writing in each species, for each part:

  1. The final must be approached by step
    Steps and skips

    In music, a step is a linear or successive interval between two pitch which are consecutive scale degrees. Any larger interval is called a skip ....
    . If the final is approached from below, the leading tone must be raised, except in the case of the Phrygian mode. Thus, in the Dorian mode on D, a C# is necessary at the cadence.
  2. Permitted melodic intervals are the perfect fourth, fifth, and octave, as well as the major and minor second, major and minor third, and ascending minor sixth. When the ascending minor sixth is used it must be immediately followed by motion downwards.
  3. If writing two skips
    Steps and skips

    In music, a step is a linear or successive interval between two pitch which are consecutive scale degrees. Any larger interval is called a skip ....
     in the same direction—something which must be done only rarely—the second must be smaller than the first, and the interval between the first and the third note may not be dissonant.
  4. If writing a skip in one direction, it is best to proceed after the skip with motion in the other direction.
  5. The interval of a tritone
    Tritone

    The tritone is a musical interval that spans three major second. The tritone is the same as an augmented fourth, which in equal temperament is enharmonic to a diminished fifth....
     in three notes is to be avoided (for example, an ascending melodic motion F - A - B natural), as is the interval of a seventh in three notes.


And, in all species, the following rules apply concerning the combination of the parts:

  1. The counterpoint must begin and end on a perfect consonance
    Consonance and dissonance

    In music, a consonance is a harmony, Chord , or interval considered stable, as opposed to a dissonance ? considered unstable . The strictest definition of consonance may be only those sounds which are pleasant, while the most general definition includes any sounds which are used freely....
    .
  2. Contrary motion
    Contrary motion

    In music theory, contrary motion is the general movement of two melody in opposite directions. That is, when one of the lines moves up, the other line moves down....
     should predominate.
  3. Perfect consonances must be approached by oblique or contrary motion
  4. Imperfect consonances may be approached by any type of motion
  5. The interval of a tenth should not be exceeded between two adjacent parts, unless by necessity.
  6. Build from the bass, upward.


Finally, in species counterpoint it is important to remember that the interval of the perfect fourth is usually considered a dissonance.

First species

In first species counterpoint, each note in every added part (parts being also referred to as lines or voices) sounds against one note in the cantus firmus. Notes in all parts are sounded simultaneously, and move against each other simultaneously. The species is said to be expanded if any of the added notes are broken up (simply repeated).

In the present context, a "step" is a melodic interval of a half or whole step. A "skip" is an interval of a third or fourth. (See Steps and skips
Steps and skips

In music, a step is a linear or successive interval between two pitch which are consecutive scale degrees. Any larger interval is called a skip ....
.) An interval of a fifth or larger is referred to as a "leap".

A few further rules given by Fux, by study of the Palestrina style, and usually given in the works of later counterpoint pedagogues, are as follows. Some are vague, and since good judgement and taste have been regarded by contrapuntists as more important than strict observance of mechanical rules, there are many more cautions than prohibitions. But some are closer to being mandatory, and are accepted by most authorities.

  1. Begin and end on either the unison, octave, or fifth, unless the added part is underneath, in which case begin and end only on unison or octave.
  2. Use no unisons except at the beginning or end.
  3. Avoid parallel fifths or octaves
    Consecutive fifths

    In music, consecutive fifths are progressions in which a perfect fifth is followed by a different perfect fifth between the same two musical parts : for example, from C to D in one part along with G to A in a higher part....
     between any two parts; and avoid "hidden" parallel fifths or octaves
    Consecutive fifths

    In music, consecutive fifths are progressions in which a perfect fifth is followed by a different perfect fifth between the same two musical parts : for example, from C to D in one part along with G to A in a higher part....
    : that is, movement by similar motion
    Contrary motion

    In music theory, contrary motion is the general movement of two melody in opposite directions. That is, when one of the lines moves up, the other line moves down....
     to a perfect fifth or octave, unless one part (sometimes restricted to the higher of the parts) moves by step.
  4. Avoid moving in parallel fourths. (In practice Palestrina and others frequently allowed themselves such progressions, especially if they do not involve the lowest of the parts.)
  5. Avoid moving in parallel thirds or sixths for very long.
  6. Attempt to keep any two adjacent parts within a tenth of each other, unless an exceptionally pleasing line can be written by moving outside of that range.
  7. Avoid having any two parts move in the same direction by skip.
  8. Attempt to have as much contrary motion as possible.
  9. Avoid dissonant intervals between any two parts: major or minor 2nd, major or minor 7th, any augmented or diminished interval, and perfect fourth (in many contexts).


In the following example in two parts, the cantus firmus is the lower part. (The same cantus firmus is used for later examples also. Each is in the Dorian mode
Dorian mode

Due to historical confusion, Dorian mode or Doric mode can refer to two very different musical modes or diatonic scales....
.)
Species1

Second species

In second species counterpoint, two notes in each of the added parts work against each longer note in the given part. The species is said to be expanded if one of these two shorter notes differs in length from the other.

Additional considerations in second species counterpoint are as follows, and are in addition to the considerations for first species:
  1. It is permissible to begin on an upbeat, leaving a half-rest in the added voice.
  2. The accented beat must have only consonance (perfect or imperfect). The unaccented beat may have dissonance, but only as a passing tone, i.e. it must be approached and left by step in the same direction.
  3. Avoid the interval of the unison except at the beginning or end of the example, except that it may occur on the unaccented portion of the bar.
  4. Use caution with successive accented perfect fifths or octaves. They must not be used as part of a sequential pattern.
Species2

Third species

In third species counterpoint, four (or three, etc.) notes move against each longer note in the given part. As with second species, it is called expanded if the shorter notes vary in length among themselves.
Species3

Fourth species

In fourth species counterpoint, some notes are sustained or suspended in an added part while notes move against them in the given part, often creating a dissonance
Consonance and dissonance

In music, a consonance is a harmony, Chord , or interval considered stable, as opposed to a dissonance ? considered unstable . The strictest definition of consonance may be only those sounds which are pleasant, while the most general definition includes any sounds which are used freely....
 on the beat, followed by the suspended note then changing (and "catching up") to create a subsequent consonance
Consonance and dissonance

In music, a consonance is a harmony, Chord , or interval considered stable, as opposed to a dissonance ? considered unstable . The strictest definition of consonance may be only those sounds which are pleasant, while the most general definition includes any sounds which are used freely....
 with the note in the given part as it continues to sound. As before, fourth species counterpoint is said to be expanded when the added-part notes vary in length among themselves. The technique requires chains of notes sustained across the boundaries determined by beat, and so creates syncopation
Syncopation

In music, syncopation includes a variety of rhythms which are in some way unexpected in that they deviate from the strict succession of regularly spaced strong and weak beat in a meter ....
.
Species4

Fifth species (florid counterpoint)

In fifth species counterpoint, sometimes called florid counterpoint, the other four species of counterpoint are combined within the added parts. In the example, the first and second bars are second species, the third bar is third species, and the fourth and fifth bars are third and embellished fourth species.
Species5

General notes

It is a common and pedantic misconception that counterpoint is defined by these five species, and therefore anything that does not follow the strict rules of the five species is not "proper" counterpoint. This is not true; although much contrapuntal music of the common practice period
Common practice period

The common practice period, in the history of European art music , spanning the Baroque Music, Classical music era, and Romantic Music periods, lasted from about 1600 until about 1900....
 adheres to the spirit of the rules, and often to the letter of them, the exceptions are many. Fux's book and its concept of "species" was purely a method of teaching counterpoint, not a definitive or rigidly prescriptive set of rules for it. He arrived at his method of teaching by examining the works of Giovanni Pierluigi da Palestrina
Giovanni Pierluigi da Palestrina

Giovanni Pierluigi da Palestrina was an Italy composer of the Renaissance music. He was the most famous sixteenth-century representative of the Roman School of musical composition....
, an important late 16th-century composer who in Fux's time was held in the highest esteem as a contrapuntist. Works in the contrapuntal style of the 16th century—the "prima pratica
Prima pratica

Prima pratica, literally "first practice", refers to early Baroque music which looks more to the style of Giovanni Pierluigi da Palestrina, or the style codified by Gioseffo Zarlino, than to more "modern" styles....
" or "stile antico
Stile antico

Stile antico, literally 'ancient style', is a term describing music from the sixteenth through the twentieth centuries. It refers to a manner of composition which is historically-conscious, as opposed to stile moderno....
," as it was called by later composers—were often said by Fux's contemporaries to be in "Palestrina style." Indeed, Fux's treatise is a compendium of Palestrina's actual techniques, simplified and regularised for pedagogical use (and so permitting fewer liberties than occurred in actual practice).

Contrapuntal derivations

Since the Renaissance
Renaissance music

Renaissance music is European music written during the Renaissance, approximately 1400 - 1600. Dates of classical music eras, given the lack of abrupt shifts in musical thinking during the 15th century....
 period in European music, much music which is considered contrapuntal has been written in imitative counterpoint. In imitative counterpoint, two or more voices enter at different times, and (especially when entering) each voice repeats some version of the same melodic element. The fantasia
Fantasia (music)

The fantasia is a musical composition with its roots in the art of improvisation. Because of this, it seldom approximates the textbook rules of any strict musical form ....
, the ricercar
Ricercar

A ricercar is a type of late Renaissance music and mostly early Baroque music instrumental composition. The term means to search out, and many ricercars serve a Prelude function to "search out" the key or mode of a following piece....
, and later, the canon
Canon (music)

In music, a canon is a counterpoint composition that employs a melody with one or more imitations of the melody played after a given duration . The initial melody is called the leader , while the imitative melody is called the follower which is played in a different voice....
 and fugue
Fugue

In music, a fugue is a type of counterpoint composition or technique of composition for a fixed number of melody, normally referred to as "voices"....
 (the contrapuntal form par excellence) all feature imitative counterpoint, which also frequently appears in choral
Choir

A choir, chorale, or chorus is a musical ensemble of singers. Choral Music, in turn, is the music written specifically for a choir to perform....
 works such as motet
Motet

In Western music, motet is a word that is applied to a number of highly varied choir musical compositions.The name comes either from the Latin movere, or a Latinized version of Old French mot, "word" or "verbal utterance." The Medieval Latin for "motet" is "motectum", and the Italian mottetto was also used....
s and madrigals
Madrigal (music)

A madrigal is a type of secular vocal music composition, written during the Renaissance music and early Baroque music eras. Throughout most of its history it was Polyphony and unaccompanied by instruments, with the number of voices varying from two to eight, but most frequently three to six....
. Imitative counterpoint has spawned a number of devices that composers have turned to in order to give their works both mathematical rigor and expressive range. Some of these devices include:

  • Melodic inversion
    Inversion (music)

    In music theory, the word inversion has several meanings. There are inverted chords, inverted melodies, inverted intervals, and inverted voices....
The inverse of a given fragment of melody is the fragment turned upside down—so if the original fragment has a rising major third (see interval
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as*vertical if the two notes sound simultaneously...
), the inverted fragment has a falling major (or perhaps minor) third, etc. (Compare, in twelve tone technique, the inversion of the tone row, which is the so-called prime series turned upside down.) (Note: in invertible counterpoint, including double and triple counterpoint, the term inversion is used in a different sense altogether. At least one pair of parts is switched, so that the one that was higher becomes lower. See Inversion in counterpoint
Inversion (music)

In music theory, the word inversion has several meanings. There are inverted chords, inverted melodies, inverted intervals, and inverted voices....
; it is not a kind of imitation, but a rearrangement of the parts.)
  • Retrograde
    Permutation (music)

    In music, a permutation of a set is a transformation of its prime form by applying zero or more of certain operations, specifically transposition , inversion , and retrograde....
refers to the contrapuntal device whereby notes in an imitative voice sound backwards in relation to their order in the original.
  • Retrograde inversion
    Retrograde inversion

    Retrograde Inversion is a musical term that literally means "Backwards and Upside down". This is a technique used in music specifically in Serialism where the inversion and retrograde techniques are performed on the same tone row at the same time....
is where the imitative voice sounds notes both backwards and upside down.
  • Augmentation
    Augmentation (music)

    In music and music theory augmentation is the lengthening or widening of rhythms, melody, interval s or chord s. The opposite is diminution .A melody or series of notes is augmented if the lengths of the notes are prolonged....
is when in one of the parts in imitative counterpoint the notes are extended in duration compared to the rate at which they were sounded when introduced.
  • Diminution
    Diminution

    Diminution, from Italian diminuimento, is a musical term used to mean different things in the context of interval , scales, chord or note values....
is when in one of the parts in imitative counterpoint the notes are reduced in duration compared to the rate at which they were sounded when introduced.

Dissonant counterpoint

Dissonant counterpoint was first theorized by Charles Seeger
Charles Seeger

Charles Seeger, Jr. was a musicologist, composer, and teacher.He graduated from Harvard University in 1908, then studied and conducted in Cologne before taking a position as Professor of Music at the University of California at Berkeley, where he taught from 1912 to 1916 before being dismissed for his public opposition to the US entry int...
 as "at first purely a school-room discipline," consisting of species counterpoint but with all the traditional rules reversed. First species counterpoint is required to be all dissonances, establishing "dissonance, rather than consonance, as the rule," and consonances are "resolved" through a skip, not step. He wrote that "the effect of this discipline" was "one of purification." Other aspects of composition, such as rhythm, could be "dissonated" by applying the same principle (Charles Seeger, "On Dissonant Counterpoint," Modern Music 7, no. 4 (June-July 1930): 25-26).

Seeger was not the first to employ dissonant counterpoint, but was the first to theorize and promote it. Other composers who have used dissonant counterpoint, if not in the exact manner prescribed by Charles Seeger, include Ruth Crawford-Seeger, Carl Ruggles
Carl Ruggles

Charles "Carl" Sprague Ruggles was an United States composer part of the group which is known as the American Five He wrote finely-crafted pieces using "Consonance and dissonance counterpoint", a term coined by Charles Seeger to describe Ruggles' music....
, Henry Cowell
Henry Cowell

Henry Cowell was an United States composer, music theory, pianist, teacher, publisher, and impresario. His contribution to the world of music was summed up by Virgil Thomson, writing in the early 1950s:...
, Henry Brant
Henry Brant

Henry Brant was a California-based composer of art music based on spatialization and aleatoric techniques.Brant developed the concept of spatial music originally seen in antiphonal music in the late renaissance and early baroque....
, Dane Rudhyar
Dane Rudhyar

Dane Rudhyar , born Daniel Chennevi?re, was an author, modernist composer and humanistic astrologer. He was the pioneer of modern transpersonal astrology....
, Lou Harrison
Lou Harrison

Lou Silver Harrison was an United States composer. He was a student of Henry Cowell, Arnold Schoenberg, and K.R.T. Wasitodiningrat .Harrison is particularly noted for incorporating elements of the world music into his work, with a number of pieces written for Javanese style gamelan musical instrument, including ensembles constructed and tu...
, Fartein Valen
Fartein Valen

Olav Fartein Valen was a Norway composer and Music theory, notable for his work within atonal music polyphony music....
, and Arnold Schoenberg
Arnold Schoenberg

Arnold Schoenberg was an Austrian and later American composer, associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School....
.

In other media

Glenn Gould
Glenn Gould

Glenn Herbert Gould was a Canadian pianist, noted especially for his recordings of the music of Johann Sebastian Bach, his remarkable technical proficiency, his unorthodox musical philosophy, and his eccentric personality and piano technique....
 made innovative use of counterpoint in his three radio documentaries: The Idea of North, The Latecomers, and The Quiet in the Land (see The Solitude Trilogy
Solitude Trilogy

The Solitude Trilogy is a collection of three hour-long radio documentary produced by Canada pianist Glenn Gould for the Canadian Broadcasting Corporation....
). Gould called this method "contrapuntal" radio. It involves the voices of two or more people simultaneously speaking (or playing against each other), entering and leaving the work as in a fugue
Fugue

In music, a fugue is a type of counterpoint composition or technique of composition for a fixed number of melody, normally referred to as "voices"....
.

In Popular Music

The following popular songs all feature contrapuntal themes with different lyrics to the different melodies. The most famous of these were the songs written for Broadway shows by Irving Berlin.

"Play a Simple Melody" by Irving Berlin
Irving Berlin

Irving Berlin was a Jewish American composer and lyricist, and one of the most prolific American songwriters in history. Berlin was one of the few Tin Pan Alley/Broadway theater songwriters who wrote both lyrics and music for his songs....
 
"You're Just in Love" by Irving Berlin
"An Old-Fashioned Wedding" by Irving Berlin
"Mine" by George & Ira Gershwin
"Scarborough Fair" by Simon & Garfunkel
"I Hope You Dance" by Lee Ann Womack
Lee Ann Womack

Lee Ann Womack is an United States country music singer and songwriter, who is best-known for her old fashioned-styled country music songs that often discuss subjects such as cheating and lost love....
 & Sons of the Desert
"Little Good-Byes" by SHeDAISY
"Eleanor Rigby
Eleanor Rigby

"Eleanor Rigby" is a song by The Beatles, originally released on the 1966 album Revolver . The song was primarily written by Paul McCartney....
" by The Beatles
The Beatles

The Beatles were a rock music and pop music band from Liverpool, England that formed in 1960. During their career, the group primarily consisted of John Lennon , Paul McCartney , George Harrison and Ringo Starr ....
 
"Paperback Writer
Paperback Writer

"Paperback Writer" is a 1966 rock song recorded and released by The Beatles. Credited to Lennon/McCartney, the song was released as the A-side of their eleventh single ....
" by The Beatles
"My Maria" by B. W. Stevenson (later covered by Brooks & Dunn)
"On Reflection" by Gentle Giant
"Sister" by Indigo Girls
Indigo Girls

Indigo Girls are an American folk rock duo, consisting of Amy Ray and Emily Saliers. They got their start in Atlanta, Georgia as a regular act at The Little 5 Points Pub and were tangentially part of the Athens, Georgia college rock scene that included The B-52's, Pylon , R.E.M., The Georgia Satellites, and Love Tractor....
 
"Silly Love Songs" by Paul McCartney
Paul McCartney

Sir James Paul McCartney Member of the Order of the British Empire is a multiple Grammy Award-winning England singer-songwriter, poet, composer, multi-instrumentalist, entrepreneur, record producer, film producer, Painting, and Animal rights....
 & Wings
"Sweet Talkin' Guy" by The Chiffons
The Chiffons

The Chiffons was an all girl group originating from the Bronx area of New York in 1960....
 
"Patience" by Guns N' Roses
Guns N' Roses

Guns N' Roses is an American Rock music band, formed in Los Angeles, California, California in 1985. The band, led by frontman and co-founder Axl Rose, has gone through numerous line-up changes and controversies since their formation....
 


See also

  • Polyphony
    Polyphony

    In music, polyphony is a texture consisting of two or more independent melodic voice , as opposed to music with just one voice or music with one dominant melodic voice accompanied by chord s ....
  • Voice leading
    Voice leading

    In musical composition, voice leading is the term used to refer to a decision-making consideration when arranging voices , namely, how each voice should move in advancing from each chord to the next....
  • Counter-melody
    Counter-melody

    In music, counter-melody is a sequence of notes, perceived as a melody, written to be played simultaneously with a more prominent melody.Typically a counter-melody performs a subordinate role, and is heard in a musical texture consisting of a melody plus accompaniment....


External links

  • by Nicholas H. Tollervey
  • by Alan Belkin
  • by David Nicholls from his American Experimental Music: 1890-1940
  • by Christopher Dylan Bailey, composer at Columbia University
  • by Jeffrey Evans
  • by Dan Brown from his web book Why Bach?.