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Marcellini sbordone analisi matematica 1 The topic of this essay is the analysis of Marcellini sbordone, presented in the first chapter. It will then be described how it works and what it does in order to reach its goal. The basic idea that I want to convey is that the book analyzed is very important because it helps people understand complex mathematical concepts and equations such as “analyzing a function” (viii). I will also give some examples from the book in order to illustrate my ideas better. In the last chapter I will talk about the language of this book and how it can be used by any person. The first chapter of Marcellini sbordone is about introducing and describing what kind of analysis is done on sbordone and what kind of analysis it does on its own (8). What Marcellini does is analyze a series of musical scales, called mappings, that are defined as “a function from a domain to an image” (8). A mapping is made up of two essential items: mappings and sequences. The mappings are continuous functions that provide partial information about musical scales (9). The sequences are ordered and discrete lists that group together the mapping and provide information about it (11). Finally, one can easily relate a mapping to a scale because the sequence of the mapping is also a tune for this scale (12). The second chapter describes how Marcellini came across this idea of using mappings as functions. It talks about how he started with music and ended up thinking about functions, but I think there is no change in thought or effect from chapter to chapter. In his first meeting he read a group called Cornelius's book “On musical analysis” for which he drew many ideas from. From chapter 2 until 5 he talks about the different mappings he used in his analysis. A set of scales are described, but not presented later on in the book. A list of 11 mappings are presented in this chapter, however two more are mentioned with different definitions during the book analysis. The third chapter is about how Marcellini analyzed some musical intervals. It discusses that he used them to create a set of scales that were then compared with other scales that had been analyzed before. What was interesting was that one could see how similar they were and how under certain circumstances they would be very different (16). The fourth chapter is about the need and importance of the book, and how it was intended to be used. It is one of the most important chapters of this book because it describes exactly what kind of analysis was done on sbordone, especially for intervals. There are two goals described here: first one of which is to show “how a great deal can be learned from a small amount,” and the other one is “to show how little can be learned from a great deal” (19). The fifth chapter talks more about language and interpretation of Marcellini's work. cfa1e77820
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