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  1. I am studying Fux's Gradus Ad Parnassum, and I've gotten to the end of the first species. Before I move on to the second, I'd like to try and write a bunch of cantus firmi that I can then harmonize, for practice. The book left me with many questions about how this might be done, so I looked at a few other books and websites. Now I'm sifting through that information (not all of which is in agreement) and trying to put together a set of guidelines. I still have questions, however, and I'm hoping you can help me with some of them. The first deals with outlined intervals. I have read that augmented, diminished, and seventh intervals are not to be outlined, but the Lydian cantus firmus by Fux outlines an ascending minor seventh between notes 5 and 8: Does this mean the outlined m7 is allowed, but not the M7? Another interval allegedly forbidden in outline is the d5, but there's one in Salzer & Schachter's C Aeolian cantus (figure 1-21c) between notes 5 and 8: Is this a mistake? Or is it just that the CF was purposely not written according to "strict" rules? I've carefully analyzed the cantus firmi of Fux, Jeppesen, Salzer & Schachter, Schoenberg, and Schenker, and these are the only questionable outlined intervals I could find. At this point I am leaning toward formulating my rule for outlined intervals as follows: no augmented intervals, no diminished intervals, (even the d5) and no major seventh intervals, but minor seventh intervals are allowed. Does that seem reasonable? Thanks in advance!
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