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Re: SV: [AUDITORY] Rhythmic discrimination fovea?
On 20/12/2010 10:52 AM, Guy Madison wrote:
there are virtually countless variations of short rhythms like these. It's not clear to me what scientific question you want to address with them, and that determines to a large extent which references that may be relevant.
Sorry to be unclear, thanks for speedy reply. I am asking specifically
about the effect of tempo on rhythmic discrimination,
and the example I gave was only intended to illustrate. I selected it
because it is especially simple:
2 1 1 can be divided into two parts, a long, and two shorts which add up
to the long. Now vary the rhythm such that
the shorts are all the same size but don't quite add up to the long, eg
10 6 6.
My question is: at what tempo will such variations tend to be perceived
as being just the same as 2 1 1?
If, eg, the tempo is extremely slow (1= 1 day, or maybe 8 seconds). then
I guess we do not perceive any difference.
If the tempo is extremely fast, then some variations will certainly also
be indistinguishable from 2 1 1 (eg, 1000, 499, 499).
To be clear: I'm asking about the effect of tempo/rate of
discrimination. I am guessing that there's some window
with optimal discrimination.
The first of the references you gave below, for example, found tempo to
be a complex variable to control. The author
also seems to be working with rather complex rhythms of the sort that
occur in serial music and probably wanted to
know whether anyone can hear these. Sorry if I munged this, as I only
looked rather quickly. In contrast, I'm asking
about very simple rhythms and what happens to simple inequalities as the
tempo is varied from very slow to very fast.
The research problem behind this has to do with representations of music
at various levels of rhythmic approximation,
in particular I am studying patterns of alternation that be induced over
rhythmic groups, given segmentation
criteria. In order to construct different quantal levels, I'm just using
clustering algorithms on IOIs to generate base
structures used for further analysis, but it occurred to me that there's
one area roughly between 80 & 800ms
where (I think) very fine discriminations can be made -- to which the
clustering algorithm should be sensitive.
This is all part of my Jack & Jill automatic composition system: for
more information see my home page.
However, here are a few papers that should be relevant. Please mail me directly if you can provide more detailed description of your goal, in which case I might be able to give more specific tips.
1. Carson, B. (2007). Perceiving and distinguishing simple timespan ratios without metric reinforcement. Journal of New Music Research, 36, 313-336.