Dimitri Tymoczko Two-note chords correspond to points on a Möbius strip. This shows a three-dimensional representation of a four-dimensional space that captures many essential features of musical structure. And even a beginning piano student encounters geometry in the “circle of fifths” when learning the fundamentals of music theory. For example, mathematical principles underlie the organization of Western music into 12-note scales. ![]() ![]() ![]() The connection between mathematics and music is often touted in awed, mysterious tones, but it is grounded in hard-headed science.
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