I just submitted the following to “The Journal of Mathematics and Music”.
“Using the traditional accidentals of western music theory, a musical space dubbed accidental space is introduced in three contexts. The first is as an algebra reminiscent of that used in quantum mechanics; this version places special significance on palindromic modes such as Dorian. The second is as a network reminiscent of that used in graph theory; this version shows clear patterns regarding chord quality clustering. The final is as a category with modes as objects and accidentals as morphisms; this version provides a singular context which encompasses both algebra and network. “
I’m fairly certain this is a mathematical something, but I’m not a professional mathematician; I’m looking forward to being proven right or wrong by others outside of me.
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