1. Symphonic Pentad for Orchestra (1964)
Orchestra Sinfonica di Roma della Radiotelevisione Italiana, Foro Italico, Rome, F. Scaglia, Conductor — September, 1967.

2. Concerto for Piano and Orchestra  (1968)
Orchestra Sinfonica di Roma della Radiotelevisione Italiana, Foro Italico, Rome, E. Gracis, Conductor; Composer as soloist — September, 1968.

3. Variations on a Theme by Haydn for Orchestra (1973)
Kol Israel Symphony Orchestra, recorded at Israel Broadcasting Authority; Sergiu Comissiona conducting, Jerusalem — June, 1973.

4. Harmony of the World for String Orchestra (1975)
Baltimore Symphony Orchestra, Sergiu Comissiona conducting Lyric Theatre, Baltimore,
Maryland — December 3/4, 1980.

5. Trope for Orchestra (1994-1995)

6. Mews' Muse for Orchestra (1999)
(Just before entering rabbinical school full-time, Cotel composed this composition based on his family cat, Ketzel's, internationally-acclaimed prize-winning Piece for Piano, Four-Paws.)