D#4-E4. Christlieb, Don. Pictoral Fingerings for Bassoon. Published by author, 1966, p. 25.

    Eb
x x o | x x x Ab-tr

     Eb
x tr o | x x 

    Eb
x x x | x x tr

     Eb
tr x o | x x x

D#4-E4 (downtrill). Durran, Daryl and Orr, Bruce. In Apfelstadt, Marc and Klimko, Ronald. Bassoon Performance Practice, Teaching Materials, Techniques and Methods. Idaho: University of Idaho, 1993, p. 69.

x o x | x x x
           F#-tr

D#4-E4. Timm, Everett LeRoy. The Woodwinds; Performance and Instructional Techniques. Boston: Allyn and Bacon, 1964, p. 175.

     Eb
x tr o | x x x

     Eb
tr x o | x x x

"Produces a very flat E":

x x o | x x x
       Bb-tr

Heckel-System (German) Bassoon Trills and Shakes by Note Names