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Beyond individual notes and chords, entire musical compositions can be analyzed using geometric and topological concepts. Tonal spaces, such as those explored in Neo-Riemannian theory, visualize chord relationships as transformations within a continuous geometric surface, often depicted as lattices or Möbius strips. This approach helps explain how harmonic progressions traverse complex musical landscapes while maintaining a sense of coherence.Additionally, the study of cymatics—the visualization
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Beyond individual notes and chords, entire musical compositions can be analyzed using geometric and topological concepts. Tonal spaces, such as those explored in Neo-Riemannian theory, visualize chord relationships as transformations within a continuous geometric surface, often depicted as lattices or Möbius strips. This approach helps explain how harmonic progressions traverse complex musical landscapes while maintaining a sense of coherence.Additionally, the study of cymatics—the visualization
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