Summary
Global perspectives deal with relations among global music objects. We introduce this subject together with its musical motivation and append the formal definition of morphisms among global compositions. This leads to the categories ObGlob of objective and Glob of functorial global compositions. We describe the combinatorial aspects of globality and associated functors, as well as corresponding geometric classification tools: nerves and simplicial weights.
The woods are lovely, dark, and deep, But I have promises to keep, And miles to go before I sleep, And miles to go before I sleep.
Robert Frost (1874{1963)
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Mazzola, G. (2017). Global Perspectives. In: The Topos of Music I: Theory. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-64364-9_14
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DOI: https://doi.org/10.1007/978-3-319-64364-9_14
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