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Harmony

This article is about musical harmony and harmonies. For other uses of the term, see Harmony (disambiguation).
“Disharmony” redirects here. For the episode of Angel, see Disharmony (Angel).

Barbershop quartets, such as this US Navy group, sing 4-part pieces, made up of a melody line (normally the lead) and 3 harmony parts.

In polyphony, which refers to the relationship of separate independent voices, are thus sometimes distinguished from harmony.

In Harmonization usually sounds pleasant to the ear when there is a balance between the consonant and dissonant sounds. In simple words, that occurs when there is a balance between “tense” and “relaxed” moments.

Etymology and definitions

The term harmony derives from the [7]

Rameau’s ‘Traité de l’harmonie’ (Treatise on Harmony) from 1722.

It was not until the publication of Rameau’s ‘Traité de l’harmonie’ (Treatise on Harmony) in 1722 that any text discussing musical practice made use of the term in the title, though that work is not the earliest record of theoretical discussion of the topic. The underlying principle behind these texts is that harmony sanctions harmoniousness (sounds that ‘please’) by conforming to certain pre-established compositional principles.[8]

Current dictionary definitions, while attempting to give concise descriptions, often highlight the ambiguity of the term in modern use. Ambiguities tend to arise from either aesthetic considerations (for example the view that only “pleasing” concords may be harmonious) or from the point of view of musical texture (distinguishing between “harmonic” (simultaneously sounding pitches) and “contrapuntal” (successively sounding tones).[8] In the words of Arnold Whittall:

While the entire history of music theory appears to depend on just such a distinction between harmony and counterpoint, it is no less evident that developments in the nature of musical composition down the centuries have presumed the interdependence—at times amounting to integration, at other times a source of sustained tension—between the vertical and horizontal dimensions of musical space.

[8]

The view that modern Carl Dahlhaus puts it:

It was not that counterpoint was supplanted by harmony (Bach’s tonal counterpoint is surely no less polyphonic than Palestrina’s modal writing) but that an older type both of counterpoint and of vertical technique was succeeded by a newer type. And harmony comprises not only the (‘vertical’) structure of chords but also their (‘horizontal’) movement. Like music as a whole, harmony is a process.

[10]

Descriptions and definitions of harmony and harmonic practice may show bias towards [12]

So, intricate pitches combinations that sound simultaneously do occur in [15]

Nevertheless, emphasis on the precomposed in European art music and the written theory surrounding it shows considerable cultural bias. The Grove Dictionary of Music and Musicians (Oxford University Press) identifies this clearly:

In Western culture the musics that are most dependent on improvisation, such as jazz, have traditionally been regarded as inferior to art music, in which pre-composition is considered paramount. The conception of musics that live in oral traditions as something composed with the use of improvisatory techniques separates them from the higher-standing works that use notation.

[16]

Yet the evolution of harmonic practice and language itself, in Western art music, is and was facilitated by this process of prior composition (which permitted the study and analysis by theorists and composers alike of individual pre-constructed works in which pitches (and to some extent rhythms) remained unchanged regardless of the nature of the performance).[17]

Historical rules

Some citation needed]

Early Western religious music often features parallel perfect intervals; these intervals would preserve the clarity of the original functional dissonance made its use in dominant chords desirable.

Most harmony comes from two or more notes sounding simultaneously—but a work can imply harmony with only one melodic line by using basslines. The implied basslines are created with low notes of short duration that many listeners perceive as being the bass note of a chord. (See below):

Example of implied harmonies in info)

Types

Close position C major triad. info)

Open position C major triad. info)

Density 21.5.

Close harmony and open harmony use close position and open position chords, respectively. See: close and open harmony.

Other types of harmony are based upon the intervals of the chords used in that harmony. Most chords used in western music are based on “tertian” harmony, or chords built with the interval of thirds. In the chord C Major7, C-E is a major third; E-G is a minor third; and G to B is a major third. Other types of harmony consist of quintal harmony.

harmonization.

Intervals

An Twinkle Twinkle Little Star, the first two notes (the first “twinkle”) and the second two notes (the second “twinkle”) are at the interval of one fifth. What this means is that if the first two notes were the pitch C, the second two notes would be the pitch “G”—four scale notes, or seven chromatic notes (a perfect fifth), above it.

The following are common intervals:

Root Major third Minor third Fifth
C E E G
D F F A
D F F A
E G G B
E G G B
F A A C
F A A C
G B B D
A C C E
A C C E
B D D F
B D D F

Therefore, the combination of notes with their specific intervals —a chord— creates harmony. For example, in a C chord, there are three notes: C, E, and G. The note C is the root. The notes E and G provide harmony, and in a G7 (G dominant 7th) chord, the root G with each subsequent note (in this case B, D and F) provide the harmony.

In the musical scale, there are twelve pitches. Each pitch is referred to as a “degree” of the scale. The names A, B, C, D, E, F, and G are insignificant. The intervals, however, are not. Here is an example:

C D E F G A B C
D E F G A B C D

As can be seen, no note always corresponds to a certain degree of the scale. The tonic, or 1st-degree note, can be any of the 12 notes (pitch classes) of the chromatic scale. All the other notes fall into place. For example, when C is the tonic, the fourth degree or subdominant is F. When D is the tonic, the fourth degree is G. While the note names remain constant, they may refer to different scale degrees, implying different intervals with respect to the tonic. The great power of this fact is that any musical work can be played or sung in any key. It is the same piece of music, as long as the intervals are the same—thus transposing the melody into the corresponding key. When the intervals surpass the perfect Octave (12 semitones), these intervals are called compound intervals, which include particularly the 9th, 11th, and 13th Intervals—widely used in blues Music.

Compound Intervals are formed and named as follows:

  • 2nd + Octave = 9th
  • 3rd + octave = 10th
  • 4th + Octave = 11th
  • 5th + octave = 12th
  • 6th + Octave = 13th
  • 7th + octave = 14th

The reason the two numbers don’t “add” correctly is that one note is counted twice. Apart from this categorization, intervals can also be divided into consonant and dissonant. As explained in the following paragraphs, consonant intervals produce a sensation of relaxation and dissonant intervals a sensation of tension. In tonal music, the term consonant also means “brings resolution” (to some degree at least, whereas dissonance “requires resolution”).

The consonant intervals are considered the perfect contrapuntal. Other intervals, the second and the seventh (and their compound forms) are considered Dissonant and require resolution (of the produced tension) and usually preparation (depending on the music style used). It should be noted that the effect of dissonance is perceived relatively within musical context: for example, a major seventh interval alone (i.e. C up to B) may be perceived as dissonant, but the same interval as part of a major seventh chord may sound relatively consonant. A tritone (the interval of the fourth step to the seventh step of the major scale, i.e. F to B) sounds very dissonant alone, but less so within the context of a dominant seventh chord (G7 or D7 in that example).

Chords and tension

In the Western tradition, in music after the seventeenth century, harmony is manipulated using power chords).

A chord with three members is called a Quartal and quintal harmony for chords built with other intervals). Depending on the size of the intervals being stacked, different qualities of chords are formed. In popular and jazz harmony, chords are named by their root plus various terms and characters indicating their qualities. To keep the nomenclature as simple as possible, some defaults are accepted (not tabulated here). For example, the chord members C, E, and G, form a C Major triad, called by default simply a C chord. In an A chord (pronounced A-flat), the members are A, C, and E.

In many types of music, notably baroque, romantic, modern and jazz, chords are often augmented with “tensions”. A tension is an additional chord member that creates a relatively dissonant interval in relation to the bass. Following the tertian practice of building chords by stacking thirds, the simplest first tension is added to a triad by stacking on top of the existing root, third, and fifth, another third above the fifth, giving a new, potentially dissonant member the interval of a seventh away from the root and therefore called the “seventh” of the chord, and producing a four-note chord, called a “seventh chord“.

Depending on the widths of the individual thirds stacked to build the chord, the interval between the root and the seventh of the chord may be major, minor, or diminished. (The interval of an augmented seventh reproduces the root, and is therefore left out of the chordal nomenclature.) The nomenclature allows that, by default, “C7” indicates a chord with a root, third, fifth, and seventh spelled C, E, G, and B. Other types of seventh chords must be named more explicitly, such as “C Major 7” (spelled C, E, G, B), “C augmented 7” (here the word augmented applies to the fifth, not the seventh, spelled C, E, G, B), etc. (For a more complete exposition of nomenclature see Chord (music).)

Continuing to stack thirds on top of a seventh chord produces extensions, and brings in the “extended tensions” or “upper tensions” (those more than an octave above the root when stacked in thirds), the ninths, elevenths, and thirteenths. This creates the chords named after them. (Note that except for dyads and triads, tertian chord types are named for the interval of the largest size and magnitude in use in the stack, not for the number of chord members : thus a ninth chord has five members [tonic, 3rd, 5th, 7th, 9th], not nine.) Extensions beyond the thirteenth reproduce existing chord members and are (usually) left out of the nomenclature. Complex harmonies based on extended chords are found in abundance in jazz, late-romantic music, modern orchestral works, film music, etc.

Typically, in the classical Common practice period a dissonant chord (chord with tension) resolves to a consonant chord. Harmonization usually sounds pleasant to the ear when there is a balance between the consonant and dissonant sounds. In simple words, that occurs when there is a balance between “tense” and “relaxed” moments. For this reason, usually tension is ‘prepared’ and then ‘resolved’.[18]

Preparing tension means to place a series of consonant chords that lead smoothly to the dissonant chord. In this way the composer ensures introducing tension smoothly, without disturbing the listener. Once the piece reaches its sub-climax, the listener needs a moment of relaxation to clear up the tension, which is obtained by playing a consonant chord that resolves the tension of the previous chords. The clearing of this tension usually sounds pleasant to the listener, though this is not always the case in late-nineteenth century music, such as Tristan und Isolde by Richard Wagner.[18]

Perception of harmony

Harmony is based on consonance, a concept whose definition has changed various times during the history of Western music. In a psychological approach, consonance is a continuous variable. Consonance can vary across a wide range. A chord may sound consonant for various reasons.

One is lack of perceptual roughness. Roughness happens when partials (frequency components) lie within a critical bandwidth, which is a measure of the ear’s ability to separate different frequencies. Critical bandwidth lies between 2 and 3 semitones at high frequencies and becomes larger at lower frequencies. The roughness of two simultaneous harmonic complex tones depends on the amplitudes of the harmonics and the interval between the tones. The roughest interval in the chromatic scale is the minor second and its inversion the major seventh. For typical spectral envelopes in the central range, the second roughest interval is the major second and minor seventh, followed by the tritone, the minor third (minor sixth) and the perfect fourth (fifth).

The harmonious cents, but an equally tempered major third is 400 cents and a Pythagorean third with a ratio of 81:64 is 408 cents. Measurements of frequencies in good performances confirm that the size of the major third varies across this range and can even lie outside it without sounding out of tune. Thus, there is no simple connection between frequency ratios and harmonic function.

The second reason is perceptual fusion. A chord fuses in perception if its overall spectrum is similar to a harmonic series. According to this definition a major triad fuses better than a minor triad and a major-minor seventh chord fuses better than a major-major seventh or minor-minor seventh. These differences may not be readily apparent in tempered contexts but can explain why major triads are generally more prevalent than minor triads and major-minor sevenths generally more prevalent than other sevenths (in spite of the dissonance of the tritone interval) in mainstream tonal music. Of course these comparisons depend on style.

The third reason is familiarity. Chords that have often been heard in musical contexts tend to sound more consonant. This principle explains the gradual historical increase in harmonic complexity of Western music. For example, around 1600 unprepared seventh chords gradually became familiar and were therefore gradually perceived as more consonant.

Western music is based on major and minor triads. The reason why these chords are so central is that they are consonant in terms of both fusion and lack of roughness. they fuse because they include the perfect fourth/fifth interval. They lack roughness because they lack major and minor second intervals. No other combination of three tones in the chromatic scale satisfies these criteria.

Consonance and dissonance in balance

Post-nineteenth century music has evolved in the way that tension may be less often prepared and less formally structured than in Blues, where dissonance may not be prepared in the way seen in ‘common practice’ harmony. In a jazz or blues song, the tonic chord may be a dominant seventh chord.

The creation and destruction of harmonic and ‘statistical’ tensions is essential to the maintenance of compositional drama. Any composition (or improvisation) which remains consistent and ‘regular’ throughout is, for me, equivalent to watching a movie with only ‘good guys’ in it, or eating cottage cheese.

Frank Zappa, “The Real Frank Zappa Book” page 181, Frank Zappa and Peter Occhiogrosso, 1990

See also

References

Footnotes

  1. ^ Malm, William P. (1996). Music Cultures of the Pacific, the Near East, and Asia, p.15. ISBN 0-13-182387-6. Third edition. “Homophonic texture…is more common in Western music, where tunes are often built on chords (harmonies) that move in progressions. Indeed this harmonic orientation is one of the major differences between Western and much non-Western music.”
  2. ^ Dahlhaus, Car. “Harmony”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  3. ^ Jamini, Deborah (2005). Harmony and Composition: Basics to Intermediate, p.147. ISBN 1-4120-3333-0.
  4. ^ ‘1. Harmony’ The Concise Oxford Dictionary of English Etymology in English Language Reference accessed via Oxford Reference Online (24 February 2007)
  5. ^ Harmonia, Henry George Liddell, Robert Scott, “A Greek-English Lexicon”, at Perseus
  6. ^ Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  7. World Cat)
  8. ^ is gayubview=Main&entry=t114.e3144 )
  9. ^ Harmony, §3: Historical development. “Carl Dahlhaus”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  10. ^ see also Whittall ‘Harmony: 4. Practice and Principle’, Oxford Companion to Music
  11. [1]
  12. ^ Harold S. Powers/Richard Widdess. “India, §III, 2: Theory and practice of classical music: Rāga”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  13. ^ Harold S. Powers/Richard Widdess. “India, §III, 3(ii): Theory and practice of classical music: Melodic elaboration”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  14. ^ Rob C. Wegman. “Improvisation, §II: Western art music”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  15. ^ Robert D Levin. “Improvisation, §II, 4(i): The Classical period in Western art music: Instrumental music”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  16. ^ Bruno Nettl. “Improvisation, §I, 2: Concepts and practices: Improvisation in musical cultures”. In Macy, Laura. Grove Music Online. Oxford Music Online. Oxford University Press.  (subscription required)
  17. ^ see Whittall, ‘Harmony’
  18. ^ PianoEncyclopedia.com

Notations

  • Dahlhaus, Carl. Gjerdingen, Robert O. trans. (1990). Studies in the Origin of Harmonic Tonality, p. 141. Princeton University Press. ISBN 0-691-09135-8.
  • ISBN 0-19-316121-4.
  • Nettles, Barrie & Graf, Richard (1997). The Chord Scale Theory and Jazz Harmony. Advance Music, ISBN 3-89221-056-X

External links

Further reading



Source: Wikipedia

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