Periodicity
of sinusoidal frequencies as a basis for the analysis
of Baroque and Classical harmony:
a computer based study

Submitted
in accordance with the requirements for the degree of Doctor of Philosophy
The University of Leeds
School of Music
September 2001
Robert Asmussen, PhD
This dissertation can be downloaded in PDF format from:
thesis_asmussen.pdf
You will need a PDF reader in order to view this document. If you do not
have one, you can download one at:
http://www.adobe.com/products/acrobat/readermain.html
When your mouse cursor is directly over a hyperlink, such as a reference to a PDF file, the cursor turns into a "link select pointer". This pointer looks like a right hand with its index finger pointing to the ceiling. When you see this pointing hand, you may download the file (which may take anywhere from a few seconds to several minutes or more to transfer) by either of the following methods:
Method 1 (preferred)
When the link select pointer (pointing hand) appears, RIGHT-click
(click the button on the right side of the mouse) on the hyperlink text or
picture. Then select "Save Target As". When the "Save As"
dialog box appears, select the desired pathname for the file and save it. This
file can then be opened either by double clicking it (if the file type has been
linked to a specific PDF reader), or by first opening a PDF reader and then
opening the file.
Method 2
When the link select pointer (pointing hand) appears, LEFT-click (click
the button on the left side of the mouse) on the hyperlink text or picture. If
you already have an installed PDF reader, such as Adobe Acrobat, the file will
begin displaying as it downloads to a temporary file in Windows.
This fugue is written strictly within a Baroque tonal style. I created a
previous version of this piece in Csound, with every note being given a precise
frequency based on the theory of just intonation, but I will wait until I have
written some computer programs that assist in assigning frequencies to notes
before I create another Csound version.
asmussen_fugue.mid
This piece was recorded in a rehearsal by the Allegri String Quartet at the
University of Leeds in England. Please download it at:
http://www.geocities.com/sinfonia_1999/study.htm
Please visit my first Internet paper, which includes musical examples tuned
using Csound, at:
http://www.leeds.ac.uk/music/studio/rproj_swss/tuning/tuning.htm