Italian: b6 1 #4French: b6 1 2 #4German: b6 1 b3 #4
In C major, these chords would be:Italian: A-flat - C - F-sharpFrench: A-flat - C - D - F-sharpGerman: A-flat - C - E-flat - F-sharpThrough an enharmonic change, the German augmented sixth chord becomes the dominant to the Neapolitan:A-flat - C - E-flat - G-flat resolving to D-flat majorOtherwise, they tend to strongly resolve towards I 6/4 chords.Walter Ramsey
A flat, C, E flat, G flat would resolve to D flat, but the function of the Gr6 is to resolve to I 6/4 (G C E G), that's why it's spelled with an F sharp, to lead up to the G instead of the G flat resolving down to the F.
That's right of course, but through an enharmonic change it will take on another function. It wouldn't be a German chord anymore, but its origin, the pivot of the modulation to the Neapolitan, would be the German chord. Walter Ramsey
So you're saying the Gr6 chord would be followed by the enharmonic spelling, making it the dominant 7 of Neopolitan? Why bother spelling it as a Gr6 and then as Aflat7?
Sorry, I wasn't clear and probably shouldn't have even added it. I just meant that one of the possibilities for the German chord is to respell it enharmonically, and use it as a dominant chord. If it is spelled with F-sharp, it's the German chord, which resolves as you said to I 6/4. I only wanted to point out that the German chord can additionally be used as a pivot, modulatory chord.Walter Ramsey