:''This article is about musical harmony and harmonies. For other uses of the term, see Harmony (disambiguation).''
In Western music, 'harmony' is the use and study of pitch simultaneity, and therefore chords, actual or implied, in music. The study of harmony may often refer to the study of harmonic progressions, the movement from one pitch simultaneity to another, and the structural principles that govern such progressions. ^[1] In Western Music, 'harmony' often refers to the "vertical" aspects of music, distinguished from ideas of melodic line, or the "horizontal" aspect. For this reason, considerations of counterpoint or polyphony are often distinguished from those of harmony, though contrapuntal writing of the common practice period of western music is often conceived and defined in terms of underlying harmonic motion.

Contents

Origin of term, and history of use

Historical rules of harmony

Types of harmony

Intervals

Tensions

Part harmonies

See also

Further reading

References

External links

Origin of term, and history of use

The term ''harmony'' originates in the Greek harmonía, meaning "joint, agreement, concord" ^[2]. In Ancient Greek music, the term was used to define the combination of contrasted elements: a higher and lower note. ^[1]

Historical rules of harmony

Some traditions of music performance, composition, and theory have specific rules of harmony. These rules are often held to be based on natural properties such as Pythagorean tuning's low whole number ratios ("harmoniousness" being inherent in the ratios either perceptually or in themselves) or harmonics and resonances ("harmoniousness" being inherent in the quality of sound), with the allowable pitches and harmonies gaining their beauty or simplicity from their closeness to those properties. Other traditions, such as the ban on parallel fifths, were simply matters of taste.
Although most harmony comes about as a result of two or more notes being sounded simultaneously, it is possible to strongly imply harmony with only one melodic line. Many pieces from the baroque period for solo string instruments, such as Bach's Sonatas and partitas for solo violin, convey subtle harmony through inference rather than full chordal structures; see below:

Types of harmony

Carl Dahlhaus (1990) distinguishes between 'coordinate' and 'subordinate harmony'. Subordinate harmony is the hierarchical tonality or tonal harmony well known today, while coordinate harmony is the older Medieval and Renaissance ''tonalité ancienne'', "the term is meant to signify that sonorities are linked one after the other without giving rise to the impression of a goal-directed development. A first chord forms a "progression" with a second chord, and a second with a third. But the earlier chord progression is independent of the later one and vice versa." Coordinate harmony follows direct (adjacent) relationships rather than indirect as in subordinate. Interval cycles create symmetrical harmonies, such as frequently in the music of Alban Berg, George Perle, Arnold Schoenberg, Béla Bartók, and Edgard Varèse's ''Density 21.5''.
Other types of harmony are based upon the intervals used in constructing the chords used in that harmony. Most chords used in western music are based on "tertial" 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 quartal harmony and quintal harmony.

Intervals

An interval is the relationship between two separate musical pitches. For example, in the melody "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 (one fifth), above it.
The following are common intervals:

Root	Third	Minor third	Fifth
C	E	Eb	G
Db	F	E	Ab
D	F#	F	A
Eb	G	Gb	Bb
E	G#	G	B
F	A	Ab	C
F#	A#	A	C#
G	B	Bb	D
Ab	C	B	Eb
A	C#	C	E
Bb	D	Db	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 tone, with the notes "E" and "G" providing harmony.
In the musical scale, there are twelve pitches. Each pitch is referred to as a "degree" of the scale. In actuality, there are no names for each degree-there is no real "C" or "E-flat" or "A". Nature did not name the pitches. The only inherent quality that these degrees have is their harmonic relationship to each other. The names A, B, C, D, E, F, and G are intransigent. The intervals, however, are not. Here is an example:

1°	2°	3°	4°	5°	6°	7°	8°
C	D	E	F	G	A	B	C
D	E	F#	G	A	B	C#	D

As you can see there, no note always corresponds to a certain degree of the scale. The "root", or 1st-degree note, can be any of the 12 notes of the scale. All the other notes fall into place. So, when C is the root note, the fourth degree is F. But when D is the root note, the fourth degree is G. So while the note names are intransigent, the intervals are not in layman's terms: a "fourth" (four-step interval) is always a fourth, no matter what the root note is. The great power of this fact is that any song can be played or sung in any key-it will be the same song, as long as the intervals are kept the same.

Tensions

There are certain basic harmonies. A basic chord consists of three notes: the root, the third above the root, and the fifth above the root (which happens to be the minor third above the third above the root). So, in a C chord, the notes are C, E, and G. In an A-flat chord, the notes are Ab, C, and Eb. In many types of music, notably baroque and jazz, basic chords are often augmented with "tensions". A tension is a degree of the scale which, in a given key, hits a dissonant interval. The most basic, common example of a tension is a "seventh" (actually a minor, or flat seventh)--so named because it is the seventh degree of the scale in a given key. While the actual degree is a flat seventh, the nomenclature is simply "seventh". So, in a C7 chord, the notes are C, E, G, and Bb. Other common dissonant tensions include ninths, elevenths, and thirteenths. In jazz, chords can become very complex with several tensions.
Typically, a dissonant chord (chord with a tension) will "resolve" to a consonant chord.

Part harmonies

In vocal music, the four basic "parts" are soprano, alto, tenor, and bass. A chord may be spread across parts in order to provide harmony. For example, a vocal piece's harmony may be constructed by the following:

★ Bass - root note of chord (1st degree)

★ Tenor and Alto - provide harmonies corresponding to the 3rd and 5th degrees of the scale; the Alto line usually sounds a third below the soprano,

★ Soprano - melody line; usually provides all tensions.

See also

★ Barbershop music

★ Consonance and dissonance

★ Chord (music)

★ Chord sequence

★ Chromatic chord

★ Counterpoint

★ Harmonic series

★ Homophony (music)

★ Mathematics of musical scales

★ ''Musica universalis''

★ Peter Westergaard's tonal theory

★ Physics of music

★ Tonality

★ Unified field

★ Voice leading

Further reading

★ Ebenezer Prout -- Harmony (1889, Revised 1901).

★ ''Twentieth Century Harmony: Creative Aspects and Practice'' by Vincent Persichetti, ISBN 0-393-09539-8.

★ Arnold Schoenberg -- ''Harmonielehre''. Universal Edition, 1911. Trans. by Roy Carter as ''Theory of Harmony''. University of California Press, 1978

★ Arnold Schoenberg -- ''Structural Functions of Harmony''. Ernest Benn Limited, second (revised) edition, 1969. Ed. Leonard Stein.

★ Walter Piston -- ''Harmony'', 1969. ISBN 0-393-95480-3.

★ Copley, R. Evan (1991). ''Harmony, Baroque to Contemporary, Part One'' (2nd ed.). Champaign: Stipes Publishing. ISBN 0-87563-373-0.

★ Copley, R. Evan (1991). ''Harmony, Baroque to Contemporary, Part Two'' (2nd ed.). Champaign: Stipes Publishing. ISBN 0-87563-377-3.

★ Kholopov, Yuri, "Harmony. Practical Course". In 2 Vol., Moscow: Kompozitor, 2003. ISBN 5-85285-619-3.

References

1.
2. '1. Harmony' ''The Concise Oxford Dictionary of English Etymology in English Language Reference'', accessed via Oxford Reference Online (24th February 2007).
3.


★ Dahlhaus, Carl. Gjerdingen, Robert O. trans. (1990). ''Studies in the Origin of Harmonic Tonality'', p.141. Princeton University Press. ISBN 0-691-09135-8.

★ van der Merwe, Peter (1989). ''Origins of the Popular Style: The Antecedents of Twentieth-Century Popular Music''. Oxford: Clarendon Press. ISBN 0-19-316121-4.

External links

★ Harmonic Progressions with demos and how to harmonise a melody

★ General Principles of Harmony by Alan Belkin

★ Morphogenesis of chords and scales Chords and scales classification

★ A Beginner's Guide to Modal Harmony

★ LucyTuning

★ Sonantometry as Natural Harmony Algebra

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