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Book
Wits and Interpretation
Author:
Year: 2023 Publisher: Berlin : Peter Lang International Academic Publishers,

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Abstract

This book offers critical demonstrations of various methods and concepts currently used in music analysis. Among the subjects are musical implications, tonal analysis, generative theory, ambiguity, similarity, and the key criteria met with in lawsuits of plagiarism. Finally, can a composer's sexual leanings be derived from his music?


Book
The mathematics of harmony : from Euclid to contemporary mathematics and computer science
Authors: ---
ISBN: 128276019X 9786612760198 9812775838 Year: 2009 Publisher: Singapore ; Hackensack, NJ : World Scientific,

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Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and


Book
The beauty of fractals
Authors: --- ---
ISBN: 0883859718 9780883859711 0883851865 9780883851869 Year: 2010 Publisher: Washington, D.C. Mathematical Association of America

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Abstract

The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.


Book
The golden ratio and Fibonacci numbers
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ISBN: 1281869953 9786611869953 9812386300 9789812386304 9781281869951 Year: 1997 Publisher: River Edge, NJ

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Abstract

In this text, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are also presented.


Book
Analytical variations - eight critical essays on applied music theory
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ISBN: 3631770650 3631797982 3631797974 Year: 2020 Publisher: Bern Peter Lang International Academic Publishing Group

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Abstract

This book gives a critical account of various methods used in music analysis. In the first chapter, a number of current approaches such as semiotics, musical implications, Schenkerian analysis, and generative theory are demonstrated on Mozart’s K. 331 theme. Five essays deal with important concepts in music analysis: ambiguity, formal proportions, and similarity within and between works. A further chapter provides a discussion of probability, kinship, and influence – decisive criteria when judging musical plagiarism. The last essay, studying a piece by Schubert, sifts the prospects of deciphering a composer’s sexual leanings from his music.

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