cruise
发表于 2025-3-23 10:34:48
A Hypercube-Graph Model for ,-Tone Rows and Relationsompletion than those that deal more exclusively with .-tone rows and their relations as permutations of an underlying set. Our results lead to a graph-theoretical representation of the duality inherent in the pitch-class/order-number isomorphism of serial theory.
总
发表于 2025-3-23 14:29:40
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价值在贬值
发表于 2025-3-23 20:01:06
Incorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality.. Musical examples include Liszt, R. W. Venezia, S. 201 and Schoenberg, String Quartet Number 1, Opus 7. We also prove that the Fiore–Noll construction of the dual group in the finite case works, and clarify the relationship of permutations with the RICH transformation.
简略
发表于 2025-3-24 00:34:22
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SUE
发表于 2025-3-24 04:02:44
Using Formal Concept Analysisto Represent Chroma Systemsroaches are conceptually different. The same result is obtained for a given subsystem of the traditional Tone System, as we will show by analysing the case of the pentatonic system. This opens a window towards generic tone systems that can be used as starting point for the structural analysis of other finite chroma systems.
随意
发表于 2025-3-24 09:11:07
The Minkowski Geometry of Numbers Applied to the Theory of Tone Systemsthat yields selections satisfactorily reflecting the musical reality. The framework draws methods from the Minkowski geometry of numbers. It is shown that only . of very specific shapes called . lead to relevant selections. Manifold music-theoretical examples include chromatic, superchromatic, and subchromatic tone systems.
陪审团每个人
发表于 2025-3-24 14:37:30
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休闲
发表于 2025-3-24 17:14:27
Towards a Categorical Theory of Creativity for Music, Discourse, and Cognitionivity, discourse theory, and cognition, suggests the relevance of the notion of “colimit” as a unifying construction in the three domains as well as the central role played by the Yoneda Lemma in the categorical formalization of creative processes.
手榴弹
发表于 2025-3-24 19:18:29
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巧思
发表于 2025-3-25 02:24:51
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