Section 21.2 Types of Augmented Sixth Chords
There are three general types of augmented sixth chords—the Italian augmented sixth chord (“\(\left.\text{It}^{+6}\right.\)”), the French augmented sixth chord (“\(\left.\text{Fr}^{+6}\right.\)”), and the German augmented sixth chord (“\(\left.\text{Ger}^{+6}\right.\)”). These geographic labels have persisted throughout the years despite the fact that no reasoning has been found for these designations. 1
All types of augmented sixth chords contain scale degrees ♭\(\hat{6}\) and ♯\(\hat{4}\) . To these two scale degrees, the \(\left.\text{It}^{+6}\right.\) adds \(\hat{1}\) . The three notes of the \(\left.\text{It}^{+6}\right.\) (♭\(\hat{6}\) , ♯\(\hat{4}\) , and \(\hat{1}\) ) form the foundation of the \(\left.\text{Fr}^{+6}\right.\) and \(\left.\text{Ger}^{+6}\right.\). The \(\left.\text{Fr}^{+6}\right.\) adds \(\hat{2}\) to the Italian augmented sixth chord's ♭\(\hat{6}\) , ♯\(\hat{4}\) , and \(\hat{1}\) , and the \(\left.\text{Ger}^{+6}\right.\) adds ♭\(\hat{3}\) to the Italian's ♭\(\hat{6}\) , ♯\(\hat{4}\) , and \(\hat{1}\) , as is shown in the example below.
The final chord on the first line—the Enharmonic German \(\left.\text{}^{+6}\right.\) or \(\left.\text{EnGer}^{+6}\right.\)—respells the ♭\(\hat{3}\) as a ♯\(\hat{2}\) because the \(\left.\text{EnGer}^{+6}\right.\) resolves only to major \(\left.\text{I}^{6}_{4}\right.\). The \(\left.\text{EnGer}^{+6}\right.\) does not occur in minor.