Titlebook: Mathematical and Computational Modeling of Tonality; Theory and Applicati Elaine Chew Book 2014 Springer Science+Business Media New York 20

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Argus Segmentation Methodnd applies it to the segmentation of post-tonal music, namely, Olivier Messiaen’s Regards IV and XVI from his .. Using the idea of the .(CE), a summary point in the interior of the Spiral Array, segmentation boundaries map to peaks in the distances between the CEs of adjacent segments of music. The

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Real-Time Pitch Spellingprocess of assigning appropriate pitch names that are consistent with the key context to numeric representations of pitch, such as MIDI or pitch class numbers. The Spiral Array model is a spatial model for representing pitch relations in the tonal system. It has been shown to be an effective tool fo

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Sensitivity Analysisng and evaluating of solutions. First, we present a basic audio key-finding system consisting of a Fuzzy Analysis technique and the Spiral Array Center of Effect Generator algorithm, with three key determination policies: the nearest-neighbor, the relative distance, and the average distance policy.

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The Spiral Arrayical properties of the different levels of representations. The chapter concludes with a summary of the definitions and a visual depiction of the resulting array of spirals: nested helices comprising the outermost pitch class spiral, the major/minor chord double helix inside the pitch class spiral,

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Real-Time Pitch Spellinghese interior points, called . (CEs), approximate and track the key context for the purpose of pitch spelling. The appropriate letter name is assigned to each pitch through a nearest-neighbor search in the Spiral Array space. The algorithms utilize windows of varying sizes for determining local and