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Jul 30 at 9:07 comment added Ubuntourist @ttw As I mentioned in the question, I've already used retrograde and liked the result, which is what led me to consider inversion. I was looking for "Which axis have the highest probability of sounding like music without a lot of 'fussing'?" Your answer of the most common being the first note is pretty much that answer. So that's where I'll start.
Jul 30 at 2:27 comment added nuggethead I've always found negative harmony to be a bit suspicious anyways
Jul 30 at 2:26 history edited ttw CC BY-SA 4.0
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Jul 30 at 2:26 comment added ttw I didn't mention that one can invert about another axis than the first note. Any note may be an axis of inversion. ("Negative Harmony" seems to overlook that such inversions about various axes have been used over several centuries.)
Jul 29 at 1:10 history answered ttw CC BY-SA 4.0