The movement of notes and chords on the Tonnetz can be displayed as computer animations. Some fascinating video animations can be found at the following links:
Isochords - clicking on this link will allow you to download a PDF file that describes the Tonnetz and how it is animated using the Isochord software.
Isochord Animations - clicking on this link will take you to a page that has a number of downloadable movies of Isochord video animations. We found the video of Giant Steps to be particularly enjoyable. The solo by John Coltrane (referenced on p. 240 of our book) occurs at about 30 seconds into the video; the symmetry of the motion on the Tonnetz displayed during this solo is very striking.
Music Animation Machine
Another way of animating movements on the Tonnetz is to use the Music Animation Machine. For a brief tutorial on how to use this free software, go to here.