The augmented sixth chord we presented in the previous page and that appears below is often called Italian augmented sixth chord (iv degree triad in first inversion):

If we add the seventh to the Italian sixth chord, we get a German augmented sixth chord (IV degree seventh chord in first inversion). Note the parallel fifth between the German sixth and the dominant chord between the bass and tenor voices:

You can avoid the parallel fifth by using the tonic chord in second inversion before the dominant chord:

If we add an augmented fourth (from the bass note), we get the French augmented sixth chord (II degree seventh chord in second inversion):

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José Rodríguez Alvira.