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Figure 7.3.8b

Figure 7.3.8.  (a) The “down a third, up a step” sequence can be derived from more familiar sequences by exchanging root position and first-inversion chords.  Here, the four forms on the bottom staff, are derived from the descending-fifth and descending-step sequences in the upper staff. (b) Measures 62-66 from Contrapunctus X in Bach’s Art of the Fugue.  Here, root substitution over a fixed bass line changes the descending fifths progression into the “down a third, up a step” progression.



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