Phase of the circles of fifths described by Major and minor keys (upper Figure 3) relative to the phase of the circle of fifths in pitch classes (middle Figure 3). The graphs describe almost straight parallel lines. The angular co-ordinate of pitch classes and minor keys are >in phase<. The angular co-ordinates of pitch classes and Major keys are offset by a constant value slightly less than .
Figure 5:
A low-dimensional representation is sufficient for representing the high-dimensional data: For WTC I (Fugues) in score representation the 2-dimensional projection of the overall symbolic duration of keys and pitch classes represents 85.4 % of the variance of the high dimensional vectors. Each of the two most prominent factors have approximately the same singular value.
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