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On the left, Voss and Clarke plot Log(frequency) on the x-axis, vs
Log(loudness fluctuation power spectrum). |
On the right is a similar plot
for the pitch fluctuation power spectrum, a rough indicator of melody. |
The graphs are |
The graphs are |
(a) Scott Joplin piano rags, |
(a) classical, |
(b) a classical radio station, |
(b) jazz and blues, |
(c) a rock radio station, and |
(c) rock, and |
(d) a news and talk radio station. |
(d) news and talk, |
Below 1 Hz, the match to the reference 1/f graph is good. |
all averaged over about 12 hours. |
For (a), the signal was averaged over an entire recording. |
Joplin rags have a strong rhythm, so the power spectrum has a considerable amount of
structure between 1 and 10 HZ. |
Below 1 Hz, we are detecting long-range correlations in the
music, and the spectrum agrees well with 1/f. |
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Again, the match with 1/f is good, though the talk station exhibits
peaks at the time scale of a single sound, and at the time scale of the average
time a person speaks. |
The rock graph (c) begins to flatten out on time scales
longer than a single composition. |
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Classical compositions tend to be longer; the data presented do
not extend beyond the average length. |
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