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hey, welcome to 12tone, today weamp;#39;re gonna talk about neo-Riemmannian analysis. I know that sounds like the final boss in a video game about homework, but trust me, itamp;#39;s actually pretty simple, and itamp;#39;s really cool. and like most cool things, we have to start with a little history. we mentioned Hugo Riemmann all the way back in our tonic function video. heamp;#39;s kind of the father of modern functional harmony, and a large part of his work involved an idea called dualism. put simply, this is the idea that major and minor triads are sort of mirrors of each other. a minor triad is just an upside-down major one. combining that inversion with various transpositions gave Riemmann a set of transformations that could convert from one chord to another. Neo-Riemmannian theory takes the idea of triadic transformations and runs with it. it leaves dualism behind in favor of its own voice-leading-inspired operations. there are three basic transformations, each preserving t
