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In music, a music scale can have certain symmetries, namely translational symmetry and inversional or mirror symmetry. The most prominent examples are scales which equally divides the octave.
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Category:Musical symmetry ... The main article for this category is Musical symmetry. Wikimedia Commons has media related to Musical symmetry.
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Transpositionally symmetrical sets either divide the octave evenly, or can be written as the union of equally sized sets that themselves divide the octave ...