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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CLASH

https://doi.org/10.1007/978-1-4614-9475-1cognitive science; computational models; mathematical programming; music information retrieval; music th

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Mathematical and Computational Modeling of Tonality978-1-4614-9475-1Series ISSN 0884-8289 Series E-ISSN 2214-7934

Implicit

公式

FRAX-tool

The Spiral Arrayssively generates representations for higher level tonal elements as a composite of each entity’s lower level components. The concept of the . is defined, wherein any element in the space can generate a higher level construct, modeled, in the same space, as the centroid, a mathematical sum, of its l

Mediocre

The CEG Algorithm (Part I), whereby any sequence of notes maps to a point in the interior of the model. The algorithm is illustrated through a simple melodic example, “Simple Gifts” from Copland’s .. Included are discussions on why the model works, and the principles behind the particular set of model parameters used in the

顯赫的人

The CEG Algorithm (Part II): Validation classic key-finding algorithms, namely, Krumhansl and Schmuckler’s Probe Tone Profile Method (PTPM), and Longuet-Higgins and Steedman’s Shape Matching Algorithm (SMA). The three algorithms are tested using the fugue subjects of Bach’s .; the evaluation criterion being the number of pitch events nee