planet 4dEmmanuel Amiot and Gilles Baroin. KEYWORDS: twelve-tone, pc sets, geometrical model, 4D, isometries, orientation. ABSTRACT: The Planet-4D model introduced by Baroin 2011b is aGeneralized Tonnetze, Spectral Applications. ->Some isometries in the Tonnetz discovered by G. Mazzola and formalized in the 4D space by Emmanuel.Amiot and Guillaume Baxias.