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Harmonic sequence using fourths and fifths
José Rodríguez Alvira
The most common sequence uses fourths, also called cycle-of-fourths or cycle-of-fifths. It follows the following pattern: ascending fourth, descending fifth.
An example using chords in root position:
The fourth interval is the basis of all the sequences we will discuss. In this case, the fourth interval transposes down by seconds:
C-F transposes as B-E, A-D, ...
Other fundamental aspects of harmonic sequences
The intervals do not have to be of the same quality. For example, we find a diminished fifth on the bass between the second and third chords.
Diminished seventh chords from the VII degree have a dominant function, just like the dominant seventh chords. We can substitute a V degree, dominant seventh chords with VII degree, diminished seventh chords:
We can enharmonically rewrite in root position the diminished seventh chords:
In the last measures of his Chromatic Fantasie, Bach visits all twelve keys using diminished seventh chords. The chords appear as an internal voice (in blue), between a D pedal tone and the melodic line:
Jazz theory tells us that a dominant chord can be substituted by another dominant chord one tritone away (see tritone substitution). Suppose we make this substitution in every other chord of a sequence of fourths with dominant sevenths. The result is a series of dominant chords descending chromatically:
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. José Rodríguez Alvira. Published by teoria.com