- Danzarín (demonstrates his highly developed style)
- Decarísimo (with own orchestra)
- El Marne (with Atilio Stampone, Odeon)
- El marne (bandoneon duo with Piazzolla and Octeto Buenos Aires, Disc Jockey)
- La cumparsita
- Taconeando (cuartet Pa' que bailen los muchachos, Victor)
- Amurado
- de vuelta al bulín (cuarteto San Telmo)
- introduced main innovations for variations:
- El Motivo
- Sideral
- Decarísimo
- Nonino
- Felicia (with his own orchestra
- Responso (Cuarteto San Telmo, Columbia)
- Margarita Gauthier - string orchestra of Hector Artona (characteristic Federico style, Odeon 1953)
- Guardia Vieja - cuarteto San Telmo, Columbia 1966 - from his bandoneon solo arrangement
- Maipo
- La Cachila
- La rayuela
- Mala Junta, Music Hall 1958
- Felicia (with Julio Sosa)
- Introducción (Music Hall, 1959)
- El motivo - Tonodisc 1960
- La bordona
- Decarísimo
- Sideral - Columbia 1964-1966 - among the purest works as conductor
