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Harmony

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This article is about musical harmony and harmonies. For other uses of the term, see Harmony (disambiguation).

Harmony is the result of polyphony (more than one note being played simultaneously).

Harmony is a study in music theory.

Origin of term

The word harmony comes from the Greek ἁρμονία harmonía meaning "a fastening or joint". The concept of harmony dates as far back as Pythagoras. Therefore it is evident why it is used to refer to a conection between people joining in "peace".

Intervals

An interval is the relationship between pitch two separate musical pitches. For example, in the common tune “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”--five notes, or one fifth, above it.

Here is a table to common intervals:

Root Third Minor third Fifth
C E Eb G
C# 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#



To put it simply, the combination of notes to make intervals creates harmony. A chord is 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:

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. For more on what that means, see the article on Consonance and dissonance. 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 and elevenths. 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

There are four basic “parts” in classical music—soprano, alto, tenor, and bass.

Note: there can be more than one example of those parts in a given song, and there are also more parts. These are just the basic ones.

The four parts combine to form a chord. Speaking in the most general, basic, quintessential terms, the parts function in this manner:

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

Please, please note that that is the most impossibly basic and distilled example of 4-part harmony. There is a nearly infinite number of alternate harmonic permutations.

See also

Further reading

  • 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.
  • Fink, Robert, "The oldest song in the world, Evidence of harmony in ancient music" in Archaeologia Musicalis Study Group on Music Archaeology, International Council for Traditional Music., Moeck Verlag, Celle, Germany.
  • Fink, Bob, "The Role of the Drone and Counterpoint in the development of Harmony," in Onlook, Summer, 2002, p. 21-22.

References

  • 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.