Diminished chord

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diminished triad
Component intervals
root
minor third
diminished fifth

Generally, in music, a diminished chord is a chord which has a diminished fifth in it. More specifically, it is a three-note chord (a diminished triad) consisting of a minor third and diminished fifth above the root - if built on C, a diminished chord would have a C, an E flat and a G flat. The interval between the upper two notes is also a minor third - thus, the chord consists of two minor thirds stacked on top of one another. It resembles a minor triad with a lowered (or diminished) fifth.

In the common practice period, the diminished chord is considered dissonant, or unstable. It lacks tonal center or drive because the diminished fifth symmetrically divides the octave. Adding a further minor third on top of the chord (if built on C, this results in a chord consisting of C, E-flat, G-flat and B double-flat, the last of which may be enharmonically respelled as A) makes a fully diminished seventh chord (so called because C to B double-flat is the interval of a diminished seventh). This equivocal chord is ambiguous as to root because a diminished seventh chord built from any note of it produces that same chord. This, combined with the fact that any of its notes may be enharmonically changed, makes it a useful pivot chord for modulation. Adding a major third rather than a minor third to the top (ex.: C/E-flat/G-flat/B-flat) creates a half-diminished seventh chord (minor third, diminished fifth, minor seventh).

A diminished chord occurs in a major scale only on the seventh scale degree; in the key of C, this is BDF. This also occurs in the seventh chord built on the fifth note (that is, the dominant seventh); in C, this is GBDF. The diminished chord on the leading tone can thus function as a dominant seventh and resolve to the tonic chord. The diminished fifth is part of the strong sense of resolution possible in the progression from the dominant seventh to the tonic.

The diminished seventh chord comprises frequencies that are equally spaced when considered on a logarithmic axis, and thus divides the octave into four logarithmically equal portions.

In a twelve tone equal tempered tuning, a diminished chord has 3 semitones between the third and fifth, 3 between the root and third, and 6 between the root and fifth. It is represented by the integer notation 0,3,6.

Both seventh chords are equivocal chords, chords which can be resolved into several distinct keys; one whose intervals, being all minor thirds, do not clearly indicate its fundamental tone or root; the chord of the diminished triad, and the diminished seventh. For example, Cdim7 = C + D# + F# + A is the same as the diminshed seventh chord of any of the notes. see below

Cdim7 = C + D# + F# + A


D#dim7 = D# + F# + A + C


F#dim7 = F# + A + C + D#


Adim7 = A + C + D# + F#

They all contain the same notes D#dim7 could be Cdim7 inverted.

[edit] See also

Chords

By Type Triads Major · Minor · Augmented · Diminished

Sevenths Major · Minor · Dominant · Diminished · Half-diminished · Minor-Major · Augmented major · Augmented minor

Extended Ninth · Eleventh · Thirteenth

Other Sixth · Augmented sixth · Suspended · Altered · Added tone · Polychord · Quartal and quintal · Tone cluster

By Function Diatonic Tonic · Dominant · Subdominant · Submediant

Altered   Borrowed · Neopolitan sixth · Secondary dominant · Secondary subdominant