The name "musical graph" is used by Knuth (2008, p. 44) for the 24-vertex graph based on the notes of the musical scale illustrated above.
This graph can be seen to be the 24-vertex case of the general 
-vertex graphs illustrated
above (for 
).
In fact, the 
th
musical graph (on 
vertices) is isomorphic to the circulant
graph 
.
