Hi there,
On 2/25/2016 3:57 PM, Evan Balster wrote:
When working with tonal signals, it has been proposed that brightness
be normalized through division by fundamental frequency. This
produces a dimensionless (?) metric which is orthogonal to the tone's
pitch, and does not typically fall below a value of one. Whether such
a metric corresponds more closely to brightness than the spectral
centroid in hertz depends on a psychoacoustics question: Do humans
perceive brightness as a quality which is independent from pitch?
Interesting topic.
Finding a (more-or-less) universal numerical recipe that can be used to
predict a perceptual, verbally designated attribute (in this case
"brightness") represents in itself a difficult problem with many
potential biases. An example is the definition of "brightness", which
might be subject to language-specific and tone- / instrument- specific
biases.
Regarding the methods proposed in this thread, I personally believe that
an audio frame could be split into deterministic (partials) and
stochastic (noise floor) components (see Xavier Serra's work from 1989),
and propose different "centroid" measures for each of these components,
which could then be combined in some desired way.
In any case, many researchers have studied the /orthogonality/ between
perceived brightness and fundamental frequency in certain contexts. This
is an example:
http://newt.phys.unsw.edu.au/~jw/reprints/SchubertWolfe06.pdf
But if I had to give a name, I would probably go for Stephen McAdams.
Cheers,
Esteban
--
Esteban Maestre
CIRMMT/CAML - McGill Univ
MTG - Univ Pompeu Fabra
http://ccrma.stanford.edu/~esteban
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