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This triad is consequently called the supertonic diminished triad. Like the supertonic minor triad found in a major key, the supertonic diminished triad has a predominant function, almost always resolving to a dominant functioning chord. [7] If the music is in a minor key, diminished triads can also be found on the raised seventh note, ♯ vii o.
An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved.
Since most other chords are made by adding one or more notes to these triads, the name and symbol of a chord is often built by just adding an interval number to the name and symbol of a triad. For instance, a C augmented seventh chord is a C augmented triad with an extra note defined by a minor seventh interval:
In some fake books and lead sheets, all triads may be represented by upper case numerals, followed by a symbol to indicate if it is not a major chord (e.g. "m" for minor or "ø" for half-diminished or "7" for a seventh chord). An upper case numeral that is not followed by a symbol is understood as a major chord.
In classical music from Western culture, a diminished third (Play ⓘ) is the musical interval produced by narrowing a minor third by a chromatic semitone. [ 1 ] [ 4 ] For instance, the interval from A to C is a minor third, three semitones wide, and both the intervals from A ♯ to C, and from A to C ♭ are diminished thirds, two semitones wide.
Diminished triads may be represented by lower-case Roman numerals with a degree symbol (e.g., vii o 7 indicates a diminished seventh chord built on the seventh scale degree; in the key of C major, this chord would be B diminished seventh, which consists of the notes B, D, F and A ♭).
Heinrich Schenker and also Nikolai Rimsky-Korsakov allowed the substitution of the dominant seventh, leading-tone, and leading tone half-diminished seventh chords, but rejected the concept of a ninth chord on the basis that only that on the fifth scale degree (V 9) was admitted and that inversion was not allowed of the ninth chord.
Diminished seventh chords may also be rooted on scale degrees other than the leading-tone, either as secondary function chords temporarily borrowed from other keys, or as appoggiatura chords: a chord rooted on the raised second scale degree (D ♯ –F ♯ –A–C in the key of C) acts as an appoggiatura to the tonic (C major) chord, and one ...
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