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The reason why a Bb is used instead of a B has to do with the key aspects of the Lydian mode itself which is the #4 and how it acts. The only difference between the Ionian mode and the Lydian is the 4th which is perfect in the Ionian mode and augmented in the Lydian mode. In Fux's counterpoint whatever mode you were in, you would want your cantus firmus and ...
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