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Titlebook: Mathematics and Computation in Music; 4th International Co Jason Yust,Jonathan Wild,John Ashley Burgoyne Conference proceedings 2013 Spring

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Maximal Translational Equivalence Classes of Musical Patterns in Point-Set Representationsorrespond to . (MTPs) [1]. However, an MTP is also often the union of a salient pattern with one or two temporally isolated notes. This has been called the . [2]. Examining the MTPs in musical works suggests that salient patterns may correspond more often to the . of MTPs than to the MTPs themselves
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Incorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality parsimonious voice leading. We incorporate permutations into ./.–. duality to resolve this issue and simultaneously broaden the applicability of this duality. More precisely, we construct the dual group to the permutation group acting on .-tuples with distinct entries, and prove that the dual group
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Hypergesture Homology for Performance Stemmata with Lie Operators. It is formally described by a tree-shaped diagram, the performance stemma, starting at the primary “mother” performance that ramifies to a series of “daughter” performances. This propagation mechanism is induced by a series of performance operators stemming from the composition’s music analysis. I
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Glarean’s Dodecachordon Revisitedspecial Sturmian morphisms . with linear maps .(.) on a vector space of lattice paths. According to [2] the adjoint linear map .(.). is closely related to the linear map .(..), where . and .. are mutually related under Sturmian involution. The comparison of these maps is music-theoretically interest
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Using Formal Concept Analysisto Represent Chroma Systems. It focuses on the music-theoretical notion of the Tone System and its equivalent classes obtained either via an action of a given finite group on the collection of subsets of it or via an identification of Forte’s corresponding interval vector and Lewin’s interval function. The use of concept latt
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