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On the Primitive and Regular Characteristics of Dihedral Group of Degree 2p and Their Relevance to Musical Note Theory

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This analysis reveals the primitive and regular features of dihedral groups, suggesting their significance in musical note theory.

The study links the properties of dihedral groups to their applications in musical note theory.
Key findings show that these groups can exhibit primitive and regular actions on sets, impacting musical structures.
Using Group Algorithm Programming, the algebraic properties of these groups were validated through numerical approaches.
The results emphasize the connection between group theory and musical arrangements, highlighting symmetries in pitch classes.

Tsok et al. (2025) studied this question.

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View Full Paper

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Authors

This analysis reveals the primitive and regular features of dihedral groups, suggesting their significance in musical note theory.

The study links the properties of dihedral groups to their applications in musical note theory.
Key findings show that these groups can exhibit primitive and regular actions on sets, impacting musical structures.
Using Group Algorithm Programming, the algebraic properties of these groups were validated through numerical approaches.
The results emphasize the connection between group theory and musical arrangements, highlighting symmetries in pitch classes.

Tsok et al. (2025) studied this question.

View Full Paper

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Bookmark