Parodia commutans F.Ritter in Succulenta (Netherlands) 1964: 22. 1964 sec. Anceschi & Magli 2018
- ≡Bolivicactus commutans (F.Ritter) Doweld in Sukkulenty 3: 62. 2000 syn. sec. Anceschi & Magli 2018
- =Parodia maxima F.Ritter in Succulenta (Netherlands) 43: 23. 1964 syn. sec. Anceschi & Magli 2018
- ≡Parodia maassii f. maxima (F.Ritter) Krainz syn. sec. Kiesling & al. 2014
- =Parodia obtusa F.Ritter in Succulenta (Netherlands) 43: 44. 1964 syn. sec. Anceschi & Magli 2018
