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Harmony

Fundamental bass

The fundamental bass (French “basse fondamentale”) is an idea of the French composer and theorist Jean-Philippe Rameau: the imagined series of the roots of the chords, regardless of which note actually sounds in the bass. All inversions of a chord belong to the same root.

Originator
Jean-Philippe Rameau
First appeared
Traité de l'harmonie, 1722
What is meant
series of chord roots
Not a played voice
a theoretical model

The bass behind the bass

In a musical texture a bass does not always play the root of the chord. With inversions another voice lies in the bass, and the line becomes stepwise and flexible. Rameau asked what lies behind that: the series of roots. In the example below the sounding bass is C–E–F–G–C, the fundamental bass by contrast C–C–F–G–C.

The sounding bass: inversions lead the bass by step

4 4

The actual bass: C, E, F, G, C. The E on the second beat is in the bass of a C major chord, a six-three chord.

The fundamental bass: the roots of the chords

4 4

The same sequence as roots: C, C, F, G, C. The second chord (marked) has the root C there, although E sounds in the bass. The inversion does not count as a new chord.

In the glossary: Figured bass · Chord inversion · Diatonic chord

What Rameau explained with it

Rameau developed the idea in his “Traité de l'harmonie” of 1722. With it he explained the relationship of chords and the coherence of a harmonic sequence from the root instead of from the often changing bass note. The fundamental bass is regarded as the basis of modern chord theory and of degree theory, in which chords are named by their root on the degrees of the scale.

CC/EFGC

Distinctions

The fundamental bass is something different from the figured bass. That is the actually played bass line, which indicates with figures the chords to be played above it. It also differs from the basso seguente, which simply follows the lowest voice of the texture. The fundamental bass is not a played voice but a theoretical model. In analysis the idea is still taken over today when chords are labelled with degree number and function, whatever inversion they are in.

Practice: Take a simple song with chord symbols in which inversions occur and write down two bass lines for it: the sounding one and the series of roots. Where they differ there is an inversion.