Another place to look for scaling characteristics in music is in the set of pitch values for a given composition.
If examination reveals a power law relationship between a note's pitch and the total number of such pitches, then we can, in a similar fashion to durations, establish that a scaling phenomenon exists. |
Here is an example. |
Our first log-log plot does not suggest a scaling relation. |
Appropriately binning the data gives a better indication of a scaling relation. |
Here is a color map of the pitch distribution. |
Here is another example. |
Return to Background.
© 2004 Harlan Brothers