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:

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Fugue (1987, 2003)

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.

Study in Classical Style (1981, 2000)

This piece was recorded in a rehearsal by the Allegri String Quartet at the University of Leeds in England. Please download it at:

Paper, “Tuning by Ratios” (1997)

Please visit my first Internet paper, which includes musical examples tuned using Csound, at:

Paper, “A Rule-based System for Tuning Chord Progressions” (2008)

Please visit my second Internet paper at: