Analysis of J.S. Bach's Prelude I

(Wohltemperiertes Klavier Teil I)
© Paul Cooijmans B., B.

Below are two graphs; the upper shows the distance covered between each two consecutive chords (chord-relation-chord distance as meant in the treatise), the lower shows the dissonance of each chord. On the horizontal axis are the bars (0 means the silence before the first bar), on the vertical axis is the distance in interval units (for upper graph) and the dissonance in exponents of 10 (the same numbers now used exponentially) for the lower graph.

The upper graph very meaningfully displays the tension curve of the piece, in fact better than does the dissonance graph. This shows that my method of calculating "distance" works, in that it formally models an essential aspect of intuitive music perception hitherto intangible. I myself am not interested in analyzing existing music by the way, I merely show this to prove my discovery.

Graph of Paul Cooijmans' analysis of J. S. Bach's Prelude I