The intervallic content of the F Pythagorean Ionian Scale. Tonally, the Pythagorean Ionian functions in much the same way as the equal tempered version of the same scale. With the exception of the difference of the 729/512 augmented fourth (between the fourth and seventh degrees) and the 1024/729 diminished fifth (between the seventh and fourth+octave degrees). The difference between these two intervals is lost when they are collapsed into a single "tritone" and has a substantial impact on the harmonic fabric. The subtle pull of one modulation over another takes on a new clarity when there are "true" augmented fourths and diminished fifths.
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