Hello<br>My own two cents are more philosophical in nature:<br>
<br>
We all know that it is possible to find numerological patterns<br>
in any sufficiently long and reasonably complex string or matrix.<br>
<br>
Especially if you are willing to gloss over slight deviations from the
ideal<br>
- as you must when you deal with strings that follow <br>
non-closed rule systems such as grammar or dramaturgy - <br>
it is indeed almost impossible not to find some pattern.<br>
<br>
As a composer who works heavily with constructive tools<br>
(which sometimes include numerological concepts)<br>
I am convinced of their usefulness in structuring score and performance<br>
- i.e. production - <br>
and yet deeply sceptical of their ability <br>
to actually add experiential meaning to a text/score/performance.<br>
The scaffolding is not the dwelling.<br>
<br>
In my experience, most of the math-analyses of texts/scores I have
encountered<br>
are far too simplistic for any serious understanding of the analyzed
work.<br>
And those math-analyses that are not simplistic must treat the work as
they would<br>
a natural phenomenon, assuming that intentionality plays no part.<br>
<br>
And if it does - e.g. in the works of Xenakis, to choose another Greek
classic:<br>
has anyone ever backtracked the mathematical processes from the score
alone<br>
<u>without knowing about them beforehand </u>(which is how math-analysis
proceeds on <br>
all the other composers and in our Plato example) ? <br>
<br>
Have there been any double-blind math-analyses of Barlow, Ferneyhough or
even Webern <br>
(to name only a few of the most obvious) where the analysts do not rely <br>
on the oral and academic tradition, on the composer's assertions - <br>
and thus previous knowledge of their production methods ? <br>
<br>
I would be curious to know the results of such backtracking experimental
math-musicology.<br>
<br>
Perhaps at this point we need the math-musicological equivalent of
placebo - <br>
how statistically significant are the results <br>
compared to the same method of analysis applied to a random string ?<br>
Or how significant is this analysis compared to one with another
math-method ?<br>
<br>
Do we perhaps need a consensus on ethics in math-music analysis ;-) ?<br><br>Best<br>Sandeep Bhagwati<br>Composer<br>Canada Research Chair in Inter-X Art<br>Concordia University Montréal<br><br><div class="gmail_quote">2010/6/30 Soderberg, Stephen <span dir="ltr"><<a href="mailto:ssod@loc.gov">ssod@loc.gov</a>></span><br>
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<p class="MsoNormal">Speaking of cross-discipline. . . </p>
<p class="MsoNormal"> </p>
<p class="MsoNormal">I may be coming late to this, but I just learned of Dr. Jay
Kennedy at University of Manchester who is publishing his fascinating discovery
relating Pythagorean math & music theory and stichometry to hidden formal
& symbolic content in Plato's Dialogues:</p>
<p class="MsoNormal"> </p>
<p class="MsoNormal"><a href="http://personalpages.manchester.ac.uk/staff/jay.kennedy/" target="_blank">http://personalpages.manchester.ac.uk/staff/jay.kennedy/</a></p>
<p class="MsoNormal"> </p>
<p class="MsoNormal">Any comments?</p>
<p class="MsoNormal"> </p>
<p class="MsoNormal"> </p>
<p class="MsoNormal">Stephen Soderberg</p>
<p class="MsoNormal">Senior Specialist</p>
<p class="MsoNormal"> for Contemporary Music</p>
<p class="MsoNormal">Music Division</p>
<p class="MsoNormal">Library of Congress</p>
</div>
</div>
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