2 Chord sequences

Chords are commonly played in sequence, much as notes are played in sequence to form melodies. Chord sequences can be conceptualised either in a simplistic way, in which the root notes of the chords play simple melodies whilst tension is created and relieved by increasing and decreasing dissonance, or full attention can be paid to every note in each chord, in which case chord sequences can be regarded as multi-part harmonyThis article is about musical harmony. For other uses of the term, see Harmony (disambiguation) . Harmony is the art of using pitch simultaneity (or chords, actual or implied) in music. It is sometimes referred to as the "vertical" aspect of music, with m of unlimited complexity.

to an example of a chord sequence from Erik SatieEric Alfred Leslie Satie (born Honfleur, 17 May 1866 died Paris, 1 July 1925) was a French composer, performing pianist and publicist. He also described himself as a "gymnopedist" (in 1887, shortly before writing his most famous compositions, the Gymnoped's Sarabande no. 3.

3 Harmonic analysis and construction

Chords are named for how many notes they contain, more commonly for what type of intervalIn music theory, an interval is the difference (a ratio or logarithmic measure) in pitch between two notes and often refers to those two notes themselves (otherwise known as a dyad). An interval class is measured by the shortest distance possible betweens they are constructed from, and by the root note and bass note.

The easiest way to name a chord, or limit its construction, is according to the number of notes included. The simplest and possibly most common chords are trichords, meaning they have three ("tri") notes, four notes being a tetrachord, six a hexachord, etc.

It is more informative to label a chord based on what type of intervals it contains, rather than how many notes, because no matter how many notes a similar interval apart you stack on top of each other, the chord still retains a characteristic sound. The most commonly discussed chords are those with notes a third apart, called tertian chords. Chords constructed from seconds are secundal, and from fourths are quartal.

Chords are also notated by the scale degree, pitch, or note of their root and base, although there are many different conventions for indicating the quality and inversion (which note is the root) of the chord, see #Inverted Triads below. For Example, since the first scale degree of the C major scale is the note C, a triad built on top of the note C would be called the one chord, which might be notated 1, I, or even C in which case the assumption would be made that the key signature of the particular piece of music in question would indicate to the musician what function a C major triad was playing, and that any special functioning of the chord outside of its normal diatonic function would be inferred due to context.

Chords are labelled with chord symbols.

4 The triad

The most commonly used chords in western music, triads are the basis of diatonic harmony, and are tertian trichords. That is, they are composed of three notes: a root note, a note which is a third above the root, and a note which is an interval of a fifth above the root (a third above the third).

Each note has a function within the chord, the note the chord is built on is called the root of the chord, the second note a third above it is called the third of the chord, and the third note a third above the second note is called the fifth of the chord. This is true of all triads, regardless of key, inversion, or quality. For example, in an F chord, F is always the root, A (sharp, natural or flat) is always the third, and C(sharp, natural, or flat) is always the fifth.

For another example, an octave of the C major scale consists of the notes: C D E F G A B C.

Fig 1. The C major scale

The triad formed using the C note as the root would consist of C (the root note of the scale), E (the third note of the scale) and G (the fifth).

Fig 2. C, E and G - The C major triad

Using the same scale (and thus, implicitly, the key of C major) a chord may be constructed using the D as the root note. This would be D (root), F (third), A (fifth).

It should be immediately apparent on hearing these two chords that they have a different quality to them: one which does not stem merely from the difference in pitch between their roots C and D. Examination at the piano keyboard will reveal that there are four semitones between the root and third of the chord on C, but only 3 semitones between the root and third of the chord on D.

The triad on C is thus called a major triad, or major chord, and the interval from C to E a major third. A minor chord, such as the triad on D, has a smaller interval from root to third called a minor third, and the chord is D minor.

A triad can be constructed on any note of the C major scale. These will all be either minor or major, with the exception of the triad on B, the leading-tone (the last note) of the scale, which is diminished. See also Mathematics of the Western music scale.

4.1 Types of triads

As well as major and minor, there can also be augmented and diminished triads. These four terms describe the quality of a chord. For instance a triad built on top of a root D in the key of C would be said to be minor or have a minor quality.

Augmented triads are composed of a major third but an augmented fifth, or a major third on top of a major third (same as a major triad, except the top note has been raised by a semitone). Diminished triads have a minor third and a diminished fifth, or a minor third on a minor third (same as a minor triad, except the top note has been lowered by a semitone.) These rules summarise the type of triads encountered so far:

• Major triad (M): root, major 3rd, perfect 5th
• Minor triad (m): root, minor 3rd, perfect 5th
• Augmented triad (A): root, major 3rd, augmented 5th
• Diminished triad (d): root, minor 3rd, diminished 5th

4.2 Inverted triads

Triads are said to be inverted when a note other than the root is the lowest note played. There are three types of inversions, or positions, for triads.

• Root position is when the chord is played in ascending thirds with its root note in the bass.

• First Inversion when the chord consists of a major or minor sixth and a major or minor third, and the third of the chord is in the bass

• Second Inversion when the chord consists of a perfect or, less common, augmented or diminished 4th, and a major or minor sixth, with the fifth of the chord in the bass.

For notation of inverted chord chord symbols see: figured bass. Various compositional techniques in classical music have made use of inversion for a variety of interesting effects.

to some triads: the first three chords played are C major root position, first inversion, second inversion, then C minor root position, first inversion, second inversion.

5 Seventh chords

Seventh chords may be thought of as the next natural step in composing tertian chords is to add the note a third above the fifth of the chord, or the seventh of the chord.

5.1 Types of seventh chords

There are 6 types of seventh chords composed of the following intervals:

• Major Seventh: root, major third, perfect fifth, major seventh
• Minor Seventh: root, minor third, perfect fifth, minor seventh
• Dominant Seventh: root, major third, perfect fifth, minor seventh
• Minor/Major Seventh: root, minor third, perfect fifth, major seventh
• Half Diminished Seventh: root, minor third, diminished fifth, minor seventh
• Full Diminished Seventh: root, minor third, diminished fifth, diminished seventh

6 Extended chords

Extended chords are tertian chords (built from thirds) or triads with notes extended, or added, beyond the seventh, including all the thirds in between the seventh and the extended note. Thus ninth, eleventh, thirteenth, and all farther chords are extended chords. Without the intervening thirds these chords become added note chords. Since all extended chords are based on compound intervals, some of the added tone chord names may be according to the compound number, thus an "added thirteenth chord" is really an added sixth or sixth chord.

7 Augmented sixth chords

An augmented sixth chord is a chord which has the interval of an augmented sixth between its highest and lowest notes and also a major third above the lowest note. For example, an augmented sixth chord with an A flat in the bass consists of the notes (from the bottom up) A flat, C, F sharp.

8 Added tone chords

An added tone chord is a traditional chord with an extra "added" note, such as the commonly added sixth. This includes chords with an added ninth, thirteenth etc, but that do not include the intervening thirds as in an extended chord.

8.1 Sustained chords

A sustained chord, or "sus chord" (also suspended chord), is a chord where the second or most often the fourth is played with or replaces the third. For instance, Csus4 is C, F, and G. These chords are called "sustained" because you arrive at them when you perform a V-I resolution but don't resolve the seventh of the V. This is similar to a suspension, where the harmony shifts from one chord to another, but one or more notes of the first chord are held over into the second. However in a sustained chord the note does not resolve as is required of a suspension. In jazz, sus chords are usually played as a major triad with the second in the bass, e.g. a major C with a D bass is a Dsus7.

9 Borrowed chords

Borrowed chords are chords borrowed from the parallel minor or major. If the root of the borrowed chord is not in the original key, then they are named by the accidental. For instance, in major, a chord borrowed from the parallel minor's sixth degree is a "flat six chord" written bVI. Borrowed chords are an example of mode mixture.

10 Other types of chords

" Power chords" are simple intervals extended in octaves, rather than true chords, and are used extensively in many kinds of rock music. Polychords are two or more chords superimposed on top of one another.

See also: Tristan chord

11 Further reading

• Twentieth Century Harmony: Creative Aspects and Practice by Vincent Persichetti, BooksEnthsiast.com.
• Dahlhaus, Carl. Gjerdingen, Robert O. trans. (1990). Studies in the Origin of Harmonic Tonality, p.67. Princeton University Press. BooksEnthsiast.com.
• Nattiez, Jean-Jacques (1990). Music and Discourse: Toward a Semiology of Music (Musicologie générale et sémiologue, 1987). Translated by Carolyn Abbate (1990). BooksEnthsiast.com.
  • Goldman (1965).

12 External links

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• Guitar Chords

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