"[1] This claim, however, is inaccurate: like Bach's other suites, they follow a largely Italian convention.
In any case, Bach also employed dance movements (such as the polonaise of the sixth suite) that are foreign to the French manner.
Usually, the swift second movement after the allemande is named either courante (French style) or corrente (Italian style), but in all these suites the second movements are named courante, according to the Bach catalog listing, which supports the suggestion that these suites are "French".
4 also exists in an alternative version, published as BWV 815a, which includes three additional movements: a Prelude, a second Gavotte and a Menuet.
3 in B-minor BWV 814 was provided as one of three soundtrack options in Nintendo's Game Boy version of Tetris.