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Starting from a major chord, for example G major (G–B–D), there are twelve potential goals using a common-tone modulation: G minor, G ♯ minor, B ♭ major, B major, B minor, C major, C minor, D minor, D major, E ♭ major, E major, E minor. [14] Thus common-tone modulations are convenient for modulation by diatonic or chromatic third.
In the key of C major, these would be: D minor, E minor, F major, G major, A minor, and C minor. Despite being three sharps or flats away from the original key in the circle of fifths, parallel keys are also considered as closely related keys as the tonal center is the same, and this makes this key have an affinity with the original key.
[1] [2] For example, G major and G minor have the same tonic (G) but have different modes, so G minor is the parallel minor of G major. This relationship is different from that of relative keys, a pair of major and minor scales that share the same notes but start on different tonics (e.g., G major and E minor).
The usual parallel chord in a major key is a minor third below the root and the counter parallel is a major third above. In a minor key the intervals are reversed: the tonic parallel (e.g. Eb in Cm) is a minor third above, and the counter parallel (e.g. Ab in Cm) is a major third below.
A modulating sequence is a sequence that leads from one tonal center to the next, with each segment technically being in a different key in some sequences: [2] Mozart Minuet in F, K 5 Mozart Minuet in F K6. The above passage starts in F major and modulates to Bb major and then, via the chord of G, to C major.
For example, the relative minor of C major is A minor, and in the key of A minor, the i, iv and v chords are A minor, D minor and E minor. In practice, in a minor key, the third of the dominant chord is often raised by one semitone to form a major chord (or a dominant seventh chord if the seventh is added).
Duetto II from Clavier-Übung III by J. S. Bach. In J. S. Bach's Clavier-Übung III, there is a two-part passage where, according to Scholes: "It will be seen that this is a canon at the fourth below; as it is a strict canon, all the intervals of the leading 'voice' are exactly imitated by the following 'voice', and since the key of the leading part is D minor modulating to G minor, that of ...
In the minor mode, a common borrowed chord from the parallel major key is the Picardy third. In the major mode, the most common examples of borrowed chords are those involving the ♭, also known as the lowered sixth scale degree. These chords are shown below, in the key of C major. [8]