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About Musical Intervals Under 12-Note Equal Temperament: A Geometrical Interpretation
The document presents a geometric interpretation of musical intervals under 12-note equal temperament. It conceives musical intervals as positive integer points in an n-dimensional Euclidean space, where n is the number of intervals. It then enumerates the number of distinct n-chords and sets of n-chords related by circular permutation. The document also determines the number of set classes under transposition and transposition-inversion equivalence relations. The results are interpreted geometrically by considering the n-chords as points within regular polyhedra.
Detailed Information
| Author: | ['Henrique97489573496'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 56 |
| Language: | English |
| Format: | |
| Price: | FREE |
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